%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEV631+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 02:33:48 PM UTC 2026
% Result : Theorem 0.73s 1.26s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV631+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.48 % Computer : n001.cluster.edu
% 0.11/0.48 % Model : x86_64 x86_64
% 0.11/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.48 % Memory : 8046.5625MB
% 0.11/0.48 % OS : Linux 6.8.0-71-generic
% 0.11/0.48 % CPULimit : 300
% 0.11/0.48 % WCLimit : 300
% 0.11/0.48 % DateTime : Mon Sep 21 07:36:29 UTC 2026
% 0.11/0.48 % CPUTime :
% 0.55/1.04 % Drodi V4.1.1
% 0.73/1.26 % Refutation found
% 0.73/1.26 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.73/1.26 % SZS output start CNFRefutation for theBenchmark
% 0.73/1.26 fof(f431,axiom,(
% 0.73/1.26 (! [Vvar__0__l__46672,Vvar__0__l__46673,Vvar__1__ls__46674,Vvar__1__ls__46675,Vvar__2___24Anonymous__46676,Vvar__2___24Anonymous__46677,Vvar__3___24Anonymous__46678,Vvar__3___24Anonymous__46679] :( cHList_2ehlist_2eHcons___24a4(Vvar__0__l__46672,Vvar__1__ls__46674,Vvar__2___24Anonymous__46676,Vvar__3___24Anonymous__46678) = cHList_2ehlist_2eHcons___24a4(Vvar__0__l__46673,Vvar__1__ls__46675,Vvar__2___24Anonymous__46677,Vvar__3___24Anonymous__46679)=> ( Vvar__3___24Anonymous__46678 = Vvar__3___24Anonymous__46679& Vvar__2___24Anonymous__46676 = Vvar__2___24Anonymous__46677& Vvar__1__ls__46674 = Vvar__1__ls__46675& Vvar__0__l__46672 = Vvar__0__l__46673 ) ) )),
% 0.73/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.73/1.26 fof(f3118,conjecture,(
% 0.73/1.26 (! [V0__l] :( ciT___24t(V0__l)=> (! [V1__ls] :( cCoq_2eInit_2eDatatypes_2elist___24t(ciT,V1__ls)=> (! [V2__a] :( cF___24t(V0__l,V2__a)=> (! [V3__b] :( cHList_2ehlist_2ehlist___24t(V1__ls,V3__b)=> (! [V4__c] :( cF___24t(V0__l,V4__c)=> (! [V5__d] :( cHList_2ehlist_2ehlist___24t(V1__ls,V5__d)=> ( cHList_2ehlist_2eHcons___24a4(V0__l,V1__ls,V2__a,V3__b) = cHList_2ehlist_2eHcons___24a4(V0__l,V1__ls,V4__c,V5__d)=> ( V2__a = V4__c& V3__b = V5__d ) ) ) )) )) )) )) )) )),
% 0.73/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.73/1.26 fof(f3119,negated_conjecture,(
% 0.73/1.26 ~((! [V0__l] :( ciT___24t(V0__l)=> (! [V1__ls] :( cCoq_2eInit_2eDatatypes_2elist___24t(ciT,V1__ls)=> (! [V2__a] :( cF___24t(V0__l,V2__a)=> (! [V3__b] :( cHList_2ehlist_2ehlist___24t(V1__ls,V3__b)=> (! [V4__c] :( cF___24t(V0__l,V4__c)=> (! [V5__d] :( cHList_2ehlist_2ehlist___24t(V1__ls,V5__d)=> ( cHList_2ehlist_2eHcons___24a4(V0__l,V1__ls,V2__a,V3__b) = cHList_2ehlist_2eHcons___24a4(V0__l,V1__ls,V4__c,V5__d)=> ( V2__a = V4__c& V3__b = V5__d ) ) ) )) )) )) )) )) ))),
% 0.73/1.26 inference(negated_conjecture,[status(cth)],[f3118])).
% 0.73/1.26 fof(f5619,plain,(
% 0.73/1.26 ![Vvar__0__l__46672,Vvar__0__l__46673,Vvar__1__ls__46674,Vvar__1__ls__46675,Vvar__2___24Anonymous__46676,Vvar__2___24Anonymous__46677,Vvar__3___24Anonymous__46678,Vvar__3___24Anonymous__46679]: (~cHList_2ehlist_2eHcons___24a4(Vvar__0__l__46672,Vvar__1__ls__46674,Vvar__2___24Anonymous__46676,Vvar__3___24Anonymous__46678)=cHList_2ehlist_2eHcons___24a4(Vvar__0__l__46673,Vvar__1__ls__46675,Vvar__2___24Anonymous__46677,Vvar__3___24Anonymous__46679)|(((Vvar__3___24Anonymous__46678=Vvar__3___24Anonymous__46679&Vvar__2___24Anonymous__46676=Vvar__2___24Anonymous__46677)&Vvar__1__ls__46674=Vvar__1__ls__46675)&Vvar__0__l__46672=Vvar__0__l__46673))),
% 0.73/1.26 inference(pre_NNF_transformation,[status(thm)],[f431])).
% 0.73/1.26 fof(f5620,plain,(
% 0.73/1.26 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~cHList_2ehlist_2eHcons___24a4(X0,X1,X2,X3)=cHList_2ehlist_2eHcons___24a4(X4,X5,X6,X7)|X3=X7)),
% 0.73/1.26 inference(cnf_transformation,[status(thm)],[f5619])).
% 0.73/1.26 fof(f5621,plain,(
% 0.73/1.26 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~cHList_2ehlist_2eHcons___24a4(X0,X1,X2,X3)=cHList_2ehlist_2eHcons___24a4(X4,X5,X6,X7)|X2=X6)),
% 0.73/1.26 inference(cnf_transformation,[status(thm)],[f5619])).
% 0.73/1.26 fof(f15346,plain,(
% 0.73/1.26 (?[V0__l]: (ciT___24t(V0__l)&(?[V1__ls]: (cCoq_2eInit_2eDatatypes_2elist___24t(ciT,V1__ls)&(?[V2__a]: (cF___24t(V0__l,V2__a)&(?[V3__b]: (cHList_2ehlist_2ehlist___24t(V1__ls,V3__b)&(?[V4__c]: (cF___24t(V0__l,V4__c)&(?[V5__d]: (cHList_2ehlist_2ehlist___24t(V1__ls,V5__d)&(cHList_2ehlist_2eHcons___24a4(V0__l,V1__ls,V2__a,V3__b)=cHList_2ehlist_2eHcons___24a4(V0__l,V1__ls,V4__c,V5__d)&(~V2__a=V4__c|~V3__b=V5__d))))))))))))))),
% 0.73/1.26 inference(pre_NNF_transformation,[status(thm)],[f3119])).
% 0.73/1.26 fof(f15347,plain,(
% 0.73/1.26 (ciT___24t(sK1905_skl)&(cCoq_2eInit_2eDatatypes_2elist___24t(ciT,sK1906_skl)&(cF___24t(sK1905_skl,sK1907_skl)&(cHList_2ehlist_2ehlist___24t(sK1906_skl,sK1908_skl)&(cF___24t(sK1905_skl,sK1909_skl)&(cHList_2ehlist_2ehlist___24t(sK1906_skl,sK1910_skl)&(cHList_2ehlist_2eHcons___24a4(sK1905_skl,sK1906_skl,sK1907_skl,sK1908_skl)=cHList_2ehlist_2eHcons___24a4(sK1905_skl,sK1906_skl,sK1909_skl,sK1910_skl)&(~sK1907_skl=sK1909_skl|~sK1908_skl=sK1910_skl))))))))),
% 0.77/1.30 inference(skolemize,[status(esa),new_symbols(skolem,[sK1905_skl,sK1906_skl,sK1907_skl,sK1908_skl,sK1909_skl,sK1910_skl]),skolemize(V0__l,sK1905_skl),skolemize(V1__ls,sK1906_skl),skolemize(V2__a,sK1907_skl),skolemize(V3__b,sK1908_skl),skolemize(V4__c,sK1909_skl),skolemize(V5__d,sK1910_skl)],[f15346])).
% 0.77/1.30 fof(f15354,plain,(
% 0.77/1.30 cHList_2ehlist_2eHcons___24a4(sK1905_skl,sK1906_skl,sK1907_skl,sK1908_skl)=cHList_2ehlist_2eHcons___24a4(sK1905_skl,sK1906_skl,sK1909_skl,sK1910_skl)),
% 0.77/1.30 inference(cnf_transformation,[status(thm)],[f15347])).
% 0.77/1.30 fof(f15355,plain,(
% 0.77/1.30 ~sK1907_skl=sK1909_skl|~sK1908_skl=sK1910_skl),
% 0.77/1.30 inference(cnf_transformation,[status(thm)],[f15347])).
% 0.77/1.30 fof(f19394,definition,(
% 0.77/1.30 sQ67_spl <=> (sK1907_skl=sK1909_skl)),
% 0.77/1.30 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 0.77/1.30 fof(f19396,plain,(
% 0.77/1.30 ~sK1907_skl=sK1909_skl|sQ67_spl),
% 0.77/1.30 inference(component_clause,[status(thm)],[f19394])).
% 0.77/1.30 fof(f19397,definition,(
% 0.77/1.30 sQ68_spl <=> (sK1908_skl=sK1910_skl)),
% 0.77/1.30 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.77/1.30 fof(f19399,plain,(
% 0.77/1.30 ~sK1908_skl=sK1910_skl|sQ68_spl),
% 0.77/1.30 inference(component_clause,[status(thm)],[f19397])).
% 0.77/1.30 fof(f19400,plain,(
% 0.77/1.30 ~sQ67_spl|~sQ68_spl),
% 0.77/1.30 inference(split_clause,[status(thm)],[f15355,f19394,f19397])).
% 0.77/1.30 fof(f19917,plain,(
% 0.77/1.30 sK1907_skl=sK1909_skl),
% 0.77/1.30 inference(resolution,[status(thm)],[f15354,f5621])).
% 0.77/1.30 fof(f19918,plain,(
% 0.77/1.30 sK1908_skl=sK1910_skl),
% 0.77/1.30 inference(resolution,[status(thm)],[f15354,f5620])).
% 0.77/1.30 fof(f19929,plain,(
% 0.77/1.30 $false|sQ67_spl),
% 0.77/1.30 inference(forward_subsumption_resolution,[status(thm)],[f19917,f19396])).
% 0.77/1.30 fof(f19930,plain,(
% 0.77/1.30 sQ67_spl),
% 0.77/1.30 inference(contradiction_clause,[status(thm)],[f19929])).
% 0.77/1.30 fof(f19941,plain,(
% 0.77/1.30 ~sK1908_skl=sK1908_skl|sQ68_spl),
% 0.77/1.30 inference(forward_demodulation,[status(thm)],[f19918,f19399])).
% 0.77/1.30 fof(f19942,plain,(
% 0.77/1.30 $false|sQ68_spl),
% 0.77/1.30 inference(trivial_equality_resolution,[status(thm)],[f19941])).
% 0.77/1.30 fof(f19943,plain,(
% 0.77/1.30 sQ68_spl),
% 0.77/1.30 inference(contradiction_clause,[status(thm)],[f19942])).
% 0.77/1.30 fof(f19944,plain,(
% 0.77/1.30 $false),
% 0.77/1.30 inference(sat_refutation,[status(thm)],[f19400,f19930,f19943])).
% 0.77/1.30 % SZS output end CNFRefutation for theBenchmark.p
% 0.77/1.37 % Elapsed time: 0.874510 seconds
% 0.77/1.37 % CPU time: 2.268432 seconds
% 0.77/1.37 % Total memory used: 699.322 MB
% 0.77/1.37 % Net memory used: 694.467 MB
%------------------------------------------------------------------------------