%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW348+1 : TPTP v9.3.1. Released v5.2.0.
% 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 03:09:00 PM UTC 2026
% Result : Theorem 0.90s 1.28s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW348+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 09:48:28 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.81/1.10 % Drodi V4.1.1
% 0.90/1.28 % Refutation found
% 0.90/1.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.90/1.28 % SZS output start CNFRefutation for theBenchmark
% 0.90/1.28 fof(f2,axiom,(
% 0.90/1.28 (! [V_u,V_t,V_s,V_c] :( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))=> ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))=> V_u = V_t ) ) )),
% 0.90/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.90/1.28 fof(f2108,axiom,(
% 0.90/1.28 c_Int_OMin != c_Int_OPls ),
% 0.90/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.90/1.28 fof(f5227,conjecture,(
% 0.90/1.28 (! [B_Z,B_s_H] :( (! [B_Z_H] :( (! [B_s1] :( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),B_Z),B_s1))=> B_Z_H = B_s1 ))=> B_Z_H = B_s_H ))=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),B_Z),B_s_H)) ) )),
% 0.90/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.90/1.28 fof(f5228,negated_conjecture,(
% 0.90/1.28 ~((! [B_Z,B_s_H] :( (! [B_Z_H] :( (! [B_s1] :( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),B_Z),B_s1))=> B_Z_H = B_s1 ))=> B_Z_H = B_s_H ))=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),B_Z),B_s_H)) ) ))),
% 0.90/1.28 inference(negated_conjecture,[status(cth)],[f5227])).
% 0.90/1.28 fof(f5232,plain,(
% 0.90/1.28 ![V_u,V_t,V_s,V_c]: (~hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))|(~hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))|V_u=V_t))),
% 0.90/1.28 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.90/1.28 fof(f5233,plain,(
% 0.90/1.28 ![V_t,V_s,V_c]: (~hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))|(![V_u]: (~hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))|V_u=V_t)))),
% 0.90/1.28 inference(miniscoping,[status(thm)],[f5232])).
% 0.90/1.28 fof(f5234,plain,(
% 0.90/1.28 ![X0,X1,X2,X3]: (~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X0),X1),X2))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X0),X1),X3))|X3=X2)),
% 0.90/1.28 inference(cnf_transformation,[status(thm)],[f5233])).
% 0.90/1.28 fof(f11374,plain,(
% 0.90/1.28 ~c_Int_OMin=c_Int_OPls),
% 0.90/1.28 inference(cnf_transformation,[status(thm)],[f2108])).
% 0.90/1.28 fof(f19863,plain,(
% 0.90/1.28 (?[B_Z,B_s_H]: ((![B_Z_H]: ((?[B_s1]: (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),B_Z),B_s1))&~B_Z_H=B_s1))|B_Z_H=B_s_H))&~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),B_Z),B_s_H))))),
% 0.90/1.28 inference(pre_NNF_transformation,[status(thm)],[f5228])).
% 0.90/1.28 fof(f19864,plain,(
% 0.90/1.28 ((![B_Z_H]: ((hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK523_skl),sK525_skl(B_Z_H)))&~B_Z_H=sK525_skl(B_Z_H))|B_Z_H=sK524_skl))&~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK523_skl),sK524_skl)))),
% 0.90/1.28 inference(skolemize,[status(esa),new_symbols(skolem,[sK523_skl,sK524_skl,sK525_skl]),skolemize(B_Z,sK523_skl),skolemize(B_s_H,sK524_skl),skolemize(B_s1,sK525_skl(B_Z_H))],[f19863])).
% 0.90/1.28 fof(f19865,plain,(
% 0.90/1.28 ![X0]: (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK523_skl),sK525_skl(X0)))|X0=sK524_skl)),
% 0.90/1.28 inference(cnf_transformation,[status(thm)],[f19864])).
% 0.90/1.28 fof(f19866,plain,(
% 0.90/1.28 ![X0]: (~X0=sK525_skl(X0)|X0=sK524_skl)),
% 0.90/1.28 inference(cnf_transformation,[status(thm)],[f19864])).
% 0.90/1.28 fof(f19867,plain,(
% 0.90/1.28 ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK523_skl),sK524_skl))),
% 0.90/1.28 inference(cnf_transformation,[status(thm)],[f19864])).
% 0.90/1.28 fof(f20328,plain,(
% 0.90/1.28 ![X0,X1]: (~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK523_skl),X0))|X0=sK525_skl(X1)|X1=sK524_skl)),
% 0.90/1.28 inference(resolution,[status(thm)],[f5234,f19865])).
% 0.90/1.28 fof(f20333,plain,(
% 0.90/1.28 ![X0,X1]: (sK525_skl(X0)=sK525_skl(X1)|X1=sK524_skl|X0=sK524_skl)),
% 0.90/1.28 inference(resolution,[status(thm)],[f20328,f19865])).
% 0.90/1.28 fof(f20334,plain,(
% 0.90/1.28 ![X0]: (sK525_skl(X0)=sK524_skl|X0=sK524_skl|sK525_skl(X0)=sK524_skl)),
% 0.90/1.28 inference(resolution,[status(thm)],[f20333,f19866])).
% 0.90/1.28 fof(f20344,plain,(
% 0.90/1.28 ![X0]: (sK525_skl(X0)=sK524_skl|X0=sK524_skl)),
% 0.90/1.28 inference(duplicate_literals_removal,[status(thm)],[f20334])).
% 0.90/1.28 fof(f20349,definition,(
% 0.90/1.28 ![X2]: (sQ18_spl <=> (X2=sK524_skl|X2=sK524_skl))),
% 0.90/1.28 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.90/1.28 fof(f20350,plain,(
% 0.90/1.28 ![X0]: (X0=sK524_skl|X0=sK524_skl|~sQ18_spl)),
% 0.90/1.28 inference(component_clause,[status(thm)],[f20349])).
% 0.90/1.28 fof(f20363,plain,(
% 0.90/1.28 ![X0]: (X0=sK524_skl|~sQ18_spl)),
% 0.90/1.28 inference(duplicate_literals_removal,[status(thm)],[f20350])).
% 0.90/1.28 fof(f20371,plain,(
% 0.90/1.28 ![X0]: (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK523_skl),sK524_skl))|X0=sK524_skl|X0=sK524_skl)),
% 0.90/1.28 inference(paramodulation,[status(thm)],[f20344,f19865])).
% 0.90/1.28 fof(f20384,definition,(
% 0.90/1.28 sQ22_spl <=> (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK523_skl),sK524_skl)))),
% 0.92/1.36 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.92/1.36 fof(f20385,plain,(
% 0.92/1.36 hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK523_skl),sK524_skl))|~sQ22_spl),
% 0.92/1.36 inference(component_clause,[status(thm)],[f20384])).
% 0.92/1.36 fof(f20387,plain,(
% 0.92/1.36 sQ22_spl|sQ18_spl),
% 0.92/1.36 inference(split_clause,[status(thm)],[f20371,f20384,f20349])).
% 0.92/1.36 fof(f20388,plain,(
% 0.92/1.36 ![X0,X1]: (X0=X1|~sQ18_spl)),
% 0.92/1.36 inference(paramodulation,[status(thm)],[f20363,f20363])).
% 0.92/1.36 fof(f20390,plain,(
% 0.92/1.36 $false|~sQ18_spl),
% 0.92/1.36 inference(forward_subsumption_resolution,[status(thm)],[f11374,f20388])).
% 0.92/1.36 fof(f20391,plain,(
% 0.92/1.36 ~sQ18_spl),
% 0.92/1.36 inference(contradiction_clause,[status(thm)],[f20390])).
% 0.92/1.36 fof(f20392,plain,(
% 0.92/1.36 $false|~sQ22_spl),
% 0.92/1.36 inference(forward_subsumption_resolution,[status(thm)],[f20385,f19867])).
% 0.92/1.36 fof(f20393,plain,(
% 0.92/1.36 ~sQ22_spl),
% 0.92/1.36 inference(contradiction_clause,[status(thm)],[f20392])).
% 0.92/1.36 fof(f20394,plain,(
% 0.92/1.36 $false),
% 0.92/1.36 inference(sat_refutation,[status(thm)],[f20387,f20391,f20393])).
% 0.92/1.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.92/1.38 % Elapsed time: 0.991210 seconds
% 0.92/1.38 % CPU time: 2.133666 seconds
% 0.92/1.38 % Total memory used: 662.287 MB
% 0.92/1.38 % Net memory used: 656.495 MB
%------------------------------------------------------------------------------