%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW349+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 9.36s 1.97s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW349+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 09:48:21 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.46/0.74 % Drodi V4.1.1
% 9.36/1.97 % Refutation found
% 9.36/1.97 % SZS status Theorem for theBenchmark: Theorem is valid
% 9.36/1.97 % SZS output start CNFRefutation for theBenchmark
% 9.36/1.97 fof(f2,axiom,(
% 9.36/1.97 (! [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 ) ) )),
% 9.36/1.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.36/1.97 fof(f5,axiom,(
% 9.36/1.97 (! [V_s] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)) )),
% 9.36/1.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.36/1.97 fof(f5227,hypothesis,(
% 9.36/1.97 (! [B_Z_H] :( (! [B_s1] :( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),B_s1))=> B_Z_H = B_s1 ))=> B_Z_H = v_s_H ) )),
% 9.36/1.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.36/1.97 fof(f5228,conjecture,(
% 9.36/1.97 hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)) ),
% 9.36/1.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.36/1.97 fof(f5229,negated_conjecture,(
% 9.36/1.97 ~(hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)) )),
% 9.36/1.97 inference(negated_conjecture,[status(cth)],[f5228])).
% 9.36/1.97 fof(f5233,plain,(
% 9.36/1.97 ![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))),
% 9.36/1.97 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 9.36/1.97 fof(f5234,plain,(
% 9.36/1.97 ![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)))),
% 9.36/1.97 inference(miniscoping,[status(thm)],[f5233])).
% 9.36/1.97 fof(f5235,plain,(
% 9.36/1.97 ![X0,X1,X2,X3]: (~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X0),X1),X2))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X0),X1),X3))|X3=X2)),
% 9.36/1.97 inference(cnf_transformation,[status(thm)],[f5234])).
% 9.36/1.97 fof(f5243,plain,(
% 9.36/1.97 ![X0]: (hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),X0),X0)))),
% 9.36/1.97 inference(cnf_transformation,[status(thm)],[f5])).
% 9.36/1.97 fof(f19864,plain,(
% 9.36/1.97 ![B_Z_H]: ((?[B_s1]: (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),B_s1))&~B_Z_H=B_s1))|B_Z_H=v_s_H)),
% 9.36/1.97 inference(pre_NNF_transformation,[status(thm)],[f5227])).
% 9.36/1.97 fof(f19865,plain,(
% 9.36/1.97 ![B_Z_H]: ((hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),sK523_skl(B_Z_H)))&~B_Z_H=sK523_skl(B_Z_H))|B_Z_H=v_s_H)),
% 9.36/1.97 inference(skolemize,[status(esa),new_symbols(skolem,[sK523_skl]),skolemize(B_s1,sK523_skl(B_Z_H))],[f19864])).
% 9.36/1.97 fof(f19866,plain,(
% 9.36/1.97 ![X0]: (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),sK523_skl(X0)))|X0=v_s_H)),
% 9.36/1.97 inference(cnf_transformation,[status(thm)],[f19865])).
% 9.36/1.97 fof(f19867,plain,(
% 9.36/1.97 ![X0]: (~X0=sK523_skl(X0)|X0=v_s_H)),
% 9.36/1.97 inference(cnf_transformation,[status(thm)],[f19865])).
% 9.36/1.97 fof(f19868,plain,(
% 9.36/1.97 ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H))),
% 9.36/1.97 inference(cnf_transformation,[status(thm)],[f5229])).
% 9.36/1.97 fof(f20329,plain,(
% 9.36/1.97 ![X0,X1]: (~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),X0))|sK523_skl(X1)=X0|X1=v_s_H)),
% 9.36/1.97 inference(resolution,[status(thm)],[f5235,f19866])).
% 9.36/1.97 fof(f20330,plain,(
% 9.36/1.97 ![X0,X1]: (sK523_skl(X0)=sK523_skl(X1)|X0=v_s_H|X1=v_s_H)),
% 9.36/1.97 inference(resolution,[status(thm)],[f20329,f19866])).
% 9.36/1.97 fof(f20331,plain,(
% 9.36/1.97 ![X0,X1,X2]: (sK523_skl(X0)=sK523_skl(X1)|X2=v_s_H|X1=v_s_H|X0=v_s_H|X2=v_s_H)),
% 9.36/1.97 inference(paramodulation,[status(thm)],[f20330,f20330])).
% 9.36/1.97 fof(f20335,plain,(
% 9.36/1.97 ![X0,X1]: (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),sK523_skl(X0)))|X1=v_s_H|X1=v_s_H|X0=v_s_H)),
% 9.36/1.97 inference(paramodulation,[status(thm)],[f20330,f19866])).
% 9.36/1.97 fof(f20337,definition,(
% 9.36/1.97 ![X0,X1]: (sQ17_spl <=> (sK523_skl(X0)=sK523_skl(X1)|X1=v_s_H|X0=v_s_H))),
% 9.36/1.97 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 9.36/1.97 fof(f20338,plain,(
% 9.36/1.97 ![X0,X1]: (sK523_skl(X0)=sK523_skl(X1)|X1=v_s_H|X0=v_s_H|~sQ17_spl)),
% 9.36/1.97 inference(component_clause,[status(thm)],[f20337])).
% 9.36/1.97 fof(f20340,definition,(
% 9.36/1.97 ![X2]: (sQ18_spl <=> (X2=v_s_H|X2=v_s_H))),
% 9.36/1.97 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 9.36/1.97 fof(f20341,plain,(
% 9.36/1.97 ![X0]: (X0=v_s_H|X0=v_s_H|~sQ18_spl)),
% 9.36/1.97 inference(component_clause,[status(thm)],[f20340])).
% 9.36/1.97 fof(f20343,plain,(
% 9.36/1.97 sQ17_spl|sQ18_spl),
% 9.36/1.97 inference(split_clause,[status(thm)],[f20331,f20337,f20340])).
% 9.36/1.97 fof(f20347,definition,(
% 9.36/1.97 ![X0]: (sQ19_spl <=> (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),sK523_skl(X0)))|X0=v_s_H))),
% 9.36/1.97 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 9.82/2.04 fof(f20348,plain,(
% 9.82/2.04 ![X0]: (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),sK523_skl(X0)))|X0=v_s_H|~sQ19_spl)),
% 9.82/2.04 inference(component_clause,[status(thm)],[f20347])).
% 9.82/2.04 fof(f20350,plain,(
% 9.82/2.04 sQ19_spl|sQ18_spl),
% 9.82/2.04 inference(split_clause,[status(thm)],[f20335,f20347,f20340])).
% 9.82/2.04 fof(f20352,plain,(
% 9.82/2.04 ![X0]: (X0=v_s_H|~sQ18_spl)),
% 9.82/2.04 inference(duplicate_literals_removal,[status(thm)],[f20341])).
% 9.82/2.04 fof(f20353,plain,(
% 9.82/2.04 ![X0,X1]: (X0=X1|~sQ18_spl)),
% 9.82/2.04 inference(paramodulation,[status(thm)],[f20352,f20352])).
% 9.82/2.04 fof(f20354,plain,(
% 9.82/2.04 ![X0]: (~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),X0))|~sQ18_spl)),
% 9.82/2.04 inference(paramodulation,[status(thm)],[f20352,f19868])).
% 9.82/2.04 fof(f20355,plain,(
% 9.82/2.04 ~hBOOL(v_s_H)|~sQ18_spl),
% 9.82/2.04 inference(paramodulation,[status(thm)],[f20352,f20354])).
% 9.82/2.04 fof(f20360,plain,(
% 9.82/2.04 ![X0]: (~hBOOL(X0)|~sQ18_spl)),
% 9.82/2.04 inference(paramodulation,[status(thm)],[f20353,f20355])).
% 9.82/2.04 fof(f20362,plain,(
% 9.82/2.04 $false|~sQ18_spl),
% 9.82/2.04 inference(forward_subsumption_resolution,[status(thm)],[f5243,f20360])).
% 9.82/2.04 fof(f20363,plain,(
% 9.82/2.04 ~sQ18_spl),
% 9.82/2.04 inference(contradiction_clause,[status(thm)],[f20362])).
% 9.82/2.04 fof(f25358,plain,(
% 9.82/2.04 ![X0]: (sK523_skl(X0)=v_s_H|sK523_skl(X0)=v_s_H|X0=v_s_H|~sQ17_spl)),
% 9.82/2.04 inference(resolution,[status(thm)],[f19867,f20338])).
% 9.82/2.04 fof(f25370,plain,(
% 9.82/2.04 ![X0]: (sK523_skl(X0)=v_s_H|X0=v_s_H|~sQ17_spl)),
% 9.82/2.04 inference(duplicate_literals_removal,[status(thm)],[f25358])).
% 9.82/2.04 fof(f25512,plain,(
% 9.82/2.04 ![X0]: (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H))|X0=v_s_H|X0=v_s_H|~sQ19_spl|~sQ17_spl)),
% 9.82/2.04 inference(paramodulation,[status(thm)],[f25370,f20348])).
% 9.82/2.04 fof(f25780,definition,(
% 9.82/2.04 sQ431_spl <=> (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)))),
% 9.82/2.04 introduced(definition,[new_symbols(definition,[sQ431_spl])],[split_symbol_definition])).
% 9.82/2.04 fof(f25781,plain,(
% 9.82/2.04 hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H))|~sQ431_spl),
% 9.82/2.04 inference(component_clause,[status(thm)],[f25780])).
% 9.82/2.04 fof(f25783,plain,(
% 9.82/2.04 sQ431_spl|sQ18_spl|~sQ19_spl|~sQ17_spl),
% 9.82/2.04 inference(split_clause,[status(thm)],[f25512,f25780,f20340,f20347,f20337])).
% 9.82/2.04 fof(f25832,plain,(
% 9.82/2.04 $false|~sQ431_spl),
% 9.82/2.04 inference(forward_subsumption_resolution,[status(thm)],[f25781,f19868])).
% 9.82/2.04 fof(f25833,plain,(
% 9.82/2.04 ~sQ431_spl),
% 9.82/2.04 inference(contradiction_clause,[status(thm)],[f25832])).
% 9.82/2.04 fof(f25834,plain,(
% 9.82/2.04 $false),
% 9.82/2.04 inference(sat_refutation,[status(thm)],[f20343,f20350,f20363,f25783,f25833])).
% 9.82/2.04 % SZS output end CNFRefutation for theBenchmark.p
% 9.82/2.07 % Elapsed time: 1.685989 seconds
% 9.82/2.07 % CPU time: 10.167922 seconds
% 9.82/2.07 % Total memory used: 738.983 MB
% 9.82/2.07 % Net memory used: 726.170 MB
%------------------------------------------------------------------------------