%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ITP019+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 12:52:01 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP019+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n014.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 21:51:51 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f32,axiom,(
% 0.13/0.38 (! [V0z] :( mem(V0z,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))=> ( ap(c_2Ecomplex_2Ecomplex__inv,V0z) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)<=> V0z = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f33,conjecture,(
% 0.13/0.38 (! [V0z] :( mem(V0z,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))=> ( V0z != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)=> ap(c_2Ecomplex_2Ecomplex__inv,V0z) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f34,negated_conjecture,(
% 0.13/0.38 ~((! [V0z] :( mem(V0z,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))=> ( V0z != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)=> ap(c_2Ecomplex_2Ecomplex__inv,V0z) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ) ))),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f33])).
% 0.13/0.38 fof(f111,plain,(
% 0.13/0.38 ![V0z]: (~mem(V0z,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))|(ap(c_2Ecomplex_2Ecomplex__inv,V0z)=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)<=>V0z=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f32])).
% 0.13/0.38 fof(f112,plain,(
% 0.13/0.38 ![V0z]: (~mem(V0z,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))|((~ap(c_2Ecomplex_2Ecomplex__inv,V0z)=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)|V0z=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0))&(ap(c_2Ecomplex_2Ecomplex__inv,V0z)=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)|~V0z=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0))))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f111])).
% 0.13/0.38 fof(f113,plain,(
% 0.13/0.38 ![X0]: (~mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))|~ap(c_2Ecomplex_2Ecomplex__inv,X0)=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)|X0=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f112])).
% 0.13/0.38 fof(f115,plain,(
% 0.13/0.38 (?[V0z]: (mem(V0z,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))&(~V0z=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)&ap(c_2Ecomplex_2Ecomplex__inv,V0z)=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0))))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 0.13/0.38 fof(f116,plain,(
% 0.13/0.38 (mem(sK3_skl,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))&(~sK3_skl=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)&ap(c_2Ecomplex_2Ecomplex__inv,sK3_skl)=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(V0z,sK3_skl)],[f115])).
% 0.13/0.38 fof(f117,plain,(
% 0.13/0.38 mem(sK3_skl,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f116])).
% 0.13/0.38 fof(f118,plain,(
% 0.13/0.38 ~sK3_skl=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f116])).
% 0.13/0.38 fof(f119,plain,(
% 0.13/0.38 ap(c_2Ecomplex_2Ecomplex__inv,sK3_skl)=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f116])).
% 0.13/0.38 fof(f137,plain,(
% 0.13/0.38 ~ap(c_2Ecomplex_2Ecomplex__inv,sK3_skl)=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)|sK3_skl=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f113,f117])).
% 0.13/0.38 fof(f138,definition,(
% 0.13/0.38 sQ3_spl <=> (ap(c_2Ecomplex_2Ecomplex__inv,sK3_skl)=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f140,plain,(
% 0.13/0.38 ~ap(c_2Ecomplex_2Ecomplex__inv,sK3_skl)=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)|sQ3_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f138])).
% 0.13/0.38 fof(f141,definition,(
% 0.13/0.38 sQ4_spl <=> (sK3_skl=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f142,plain,(
% 0.13/0.38 sK3_skl=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)|~sQ4_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f141])).
% 0.13/0.38 fof(f144,plain,(
% 0.13/0.38 ~sQ3_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f137,f138,f141])).
% 0.13/0.38 fof(f145,plain,(
% 0.13/0.38 ~ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)|sQ3_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f119,f140])).
% 0.13/0.38 fof(f146,plain,(
% 0.13/0.38 $false|sQ3_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f145])).
% 0.13/0.38 fof(f147,plain,(
% 0.13/0.38 sQ3_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f146])).
% 0.13/0.38 fof(f148,plain,(
% 0.13/0.38 $false|~sQ4_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f142,f118])).
% 0.13/0.38 fof(f149,plain,(
% 0.13/0.38 ~sQ4_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f148])).
% 0.13/0.38 fof(f150,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f144,f147,f149])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.047318 seconds
% 0.13/0.40 % CPU time: 0.130020 seconds
% 0.13/0.40 % Total memory used: 83.568 MB
% 0.13/0.40 % Net memory used: 83.498 MB
%------------------------------------------------------------------------------