%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEV668+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 02:33:51 PM UTC 2026
% Result : Theorem 43.43s 35.83s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV668+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
% 0.09/0.38 % Computer : n001.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Mon Sep 21 07:40:46 UTC 2026
% 0.09/0.38 % CPUTime :
% 34.23/34.51 % Drodi V4.1.1
% 43.43/35.83 % Refutation found
% 43.43/35.83 % SZS status Theorem for theBenchmark: Theorem is valid
% 43.43/35.83 % SZS output start CNFRefutation for theBenchmark
% 43.43/35.83 fof(f303,axiom,(
% 43.43/35.83 (! [Vvar__0___24Anonymous__3183,Vvar__1___24Anonymous__3184,Vvar__2___24Anonymous__3185,Vvar__3___24Anonymous__3186,Vvar__4___24Anonymous__3187] : cRedblack_2eTREES_2eE != cRedblack_2eTREES_2eT___24a5(Vvar__0___24Anonymous__3183,Vvar__1___24Anonymous__3184,Vvar__2___24Anonymous__3185,Vvar__3___24Anonymous__3186,Vvar__4___24Anonymous__3187) )),
% 43.43/35.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.43/35.83 fof(f2821,conjecture,(
% 43.43/35.83 (! [V0__c] :( cRedblack_2ecolor___24t(V0__c)=> (! [V1__l] :( cRedblack_2eTREES_2etree___24t(V1__l)=> (! [V2__k] :( cRedblack_2ekey___24t(V2__k)=> (! [V3__v] :( cV___24t(V3__v)=> (! [V4__r] :( cRedblack_2eTREES_2etree___24t(V4__r)=> cRedblack_2eTREES_2eT___24a5(V0__c,V1__l,V2__k,V3__v,V4__r) != cRedblack_2eTREES_2eE ) )) )) )) )) )),
% 43.43/35.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.43/35.83 fof(f2822,negated_conjecture,(
% 43.43/35.83 ~((! [V0__c] :( cRedblack_2ecolor___24t(V0__c)=> (! [V1__l] :( cRedblack_2eTREES_2etree___24t(V1__l)=> (! [V2__k] :( cRedblack_2ekey___24t(V2__k)=> (! [V3__v] :( cV___24t(V3__v)=> (! [V4__r] :( cRedblack_2eTREES_2etree___24t(V4__r)=> cRedblack_2eTREES_2eT___24a5(V0__c,V1__l,V2__k,V3__v,V4__r) != cRedblack_2eTREES_2eE ) )) )) )) )) ))),
% 43.43/35.83 inference(negated_conjecture,[status(cth)],[f2821])).
% 43.43/35.83 fof(f4598,plain,(
% 43.43/35.83 ![X0,X1,X2,X3,X4]: (~cRedblack_2eTREES_2eE=cRedblack_2eTREES_2eT___24a5(X0,X1,X2,X3,X4))),
% 43.43/35.83 inference(cnf_transformation,[status(thm)],[f303])).
% 43.43/35.83 fof(f12985,plain,(
% 43.43/35.83 (?[V0__c]: (cRedblack_2ecolor___24t(V0__c)&(?[V1__l]: (cRedblack_2eTREES_2etree___24t(V1__l)&(?[V2__k]: (cRedblack_2ekey___24t(V2__k)&(?[V3__v]: (cV___24t(V3__v)&(?[V4__r]: (cRedblack_2eTREES_2etree___24t(V4__r)&cRedblack_2eTREES_2eT___24a5(V0__c,V1__l,V2__k,V3__v,V4__r)=cRedblack_2eTREES_2eE))))))))))),
% 43.43/35.83 inference(pre_NNF_transformation,[status(thm)],[f2822])).
% 43.43/35.83 fof(f12986,plain,(
% 43.43/35.83 (cRedblack_2ecolor___24t(sK1182_skl)&(cRedblack_2eTREES_2etree___24t(sK1183_skl)&(cRedblack_2ekey___24t(sK1184_skl)&(cV___24t(sK1185_skl)&(cRedblack_2eTREES_2etree___24t(sK1186_skl)&cRedblack_2eTREES_2eT___24a5(sK1182_skl,sK1183_skl,sK1184_skl,sK1185_skl,sK1186_skl)=cRedblack_2eTREES_2eE)))))),
% 43.43/35.83 inference(skolemize,[status(esa),new_symbols(skolem,[sK1182_skl,sK1183_skl,sK1184_skl,sK1185_skl,sK1186_skl]),skolemize(V0__c,sK1182_skl),skolemize(V1__l,sK1183_skl),skolemize(V2__k,sK1184_skl),skolemize(V3__v,sK1185_skl),skolemize(V4__r,sK1186_skl)],[f12985])).
% 43.43/35.83 fof(f12992,plain,(
% 43.43/35.83 cRedblack_2eTREES_2eT___24a5(sK1182_skl,sK1183_skl,sK1184_skl,sK1185_skl,sK1186_skl)=cRedblack_2eTREES_2eE),
% 43.43/35.83 inference(cnf_transformation,[status(thm)],[f12986])).
% 43.43/35.83 fof(f30050,plain,(
% 43.43/35.83 $false),
% 43.43/35.83 inference(forward_subsumption_resolution,[status(thm)],[f12992,f4598])).
% 43.43/35.83 % SZS output end CNFRefutation for theBenchmark.p
% 34.55/35.93 % Elapsed time: 35.508608 seconds
% 34.55/35.93 % CPU time: 43.649450 seconds
% 34.55/35.93 % Total memory used: 1.212 GB
% 34.55/35.93 % Net memory used: 1.205 GB
%------------------------------------------------------------------------------