%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ITP019+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 53.74s 43.78s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ITP019+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n015.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 20 21:54:54 UTC 2026
% 0.19/0.45 % CPUTime :
% 41.59/42.11 % Drodi V4.1.1
% 53.74/43.78 % Refutation found
% 53.74/43.78 % SZS status Theorem for theBenchmark: Theorem is valid
% 53.74/43.78 % SZS output start CNFRefutation for theBenchmark
% 53.74/43.78 fof(f1248,axiom,(
% 53.74/43.78 c_2Earithmetic_2EZERO = c_2Enum_2E0 ),
% 53.74/43.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 53.74/43.78 fof(f16818,axiom,(
% 53.74/43.78 (! [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,ap(c_2Ecomplex_2Ecomplex__inv,V0z)) = V0z ) ) )),
% 53.74/43.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 53.74/43.78 fof(f16821,axiom,(
% 53.74/43.78 ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ),
% 53.74/43.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 53.74/43.78 fof(f16826,conjecture,(
% 53.74/43.78 (! [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) ) ) )),
% 53.74/43.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 53.74/43.78 fof(f16827,negated_conjecture,(
% 53.74/43.78 ~((! [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) ) ) ))),
% 53.74/43.78 inference(negated_conjecture,[status(cth)],[f16826])).
% 53.74/43.78 fof(f21634,plain,(
% 53.74/43.78 c_2Earithmetic_2EZERO=c_2Enum_2E0),
% 53.74/43.78 inference(cnf_transformation,[status(thm)],[f1248])).
% 53.74/43.78 fof(f88218,plain,(
% 53.74/43.78 ![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,ap(c_2Ecomplex_2Ecomplex__inv,V0z))=V0z))),
% 53.74/43.78 inference(pre_NNF_transformation,[status(thm)],[f16818])).
% 53.74/43.78 fof(f88219,plain,(
% 53.74/43.78 ![X0]: (~mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))|X0=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)|ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__inv,X0))=X0)),
% 53.74/43.78 inference(cnf_transformation,[status(thm)],[f88218])).
% 53.74/43.78 fof(f88224,plain,(
% 53.74/43.78 ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0))=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)),
% 53.74/43.78 inference(cnf_transformation,[status(thm)],[f16821])).
% 53.74/43.78 fof(f88234,plain,(
% 53.74/43.78 (?[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))))),
% 53.74/43.78 inference(pre_NNF_transformation,[status(thm)],[f16827])).
% 53.74/43.78 fof(f88235,plain,(
% 53.74/43.78 (mem(sK16093_skl,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))&(~sK16093_skl=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)&ap(c_2Ecomplex_2Ecomplex__inv,sK16093_skl)=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)))),
% 53.74/43.78 inference(skolemize,[status(esa),new_symbols(skolem,[sK16093_skl]),skolemize(V0z,sK16093_skl)],[f88234])).
% 53.74/43.78 fof(f88236,plain,(
% 53.74/43.78 mem(sK16093_skl,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))),
% 53.74/43.78 inference(cnf_transformation,[status(thm)],[f88235])).
% 53.74/43.78 fof(f88237,plain,(
% 53.74/43.78 ~sK16093_skl=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)),
% 53.74/43.78 inference(cnf_transformation,[status(thm)],[f88235])).
% 53.74/43.78 fof(f88238,plain,(
% 53.74/43.78 ap(c_2Ecomplex_2Ecomplex__inv,sK16093_skl)=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)),
% 53.74/43.78 inference(cnf_transformation,[status(thm)],[f88235])).
% 53.74/43.78 fof(f100696,plain,(
% 53.74/43.78 ap(c_2Ecomplex_2Ecomplex__inv,sK16093_skl)=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO)),
% 53.74/43.78 inference(backward_demodulation,[status(thm)],[f21634,f88238])).
% 53.74/43.78 fof(f100697,plain,(
% 53.74/43.78 ~sK16093_skl=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO)),
% 53.74/43.78 inference(backward_demodulation,[status(thm)],[f21634,f88237])).
% 53.74/43.78 fof(f104014,plain,(
% 53.74/43.78 ![X0]: (~mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))|X0=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO)|ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__inv,X0))=X0)),
% 53.74/43.78 inference(forward_demodulation,[status(thm)],[f21634,f88219])).
% 53.74/43.78 fof(f104015,plain,(
% 53.74/43.78 sK16093_skl=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO)|ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__inv,sK16093_skl))=sK16093_skl),
% 56.17/44.13 inference(resolution,[status(thm)],[f104014,f88236])).
% 56.17/44.13 fof(f104016,plain,(
% 56.17/44.13 sK16093_skl=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO)|ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO))=sK16093_skl),
% 56.17/44.13 inference(forward_demodulation,[status(thm)],[f100696,f104015])).
% 56.17/44.13 fof(f104017,plain,(
% 56.17/44.13 ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO))=sK16093_skl),
% 56.17/44.13 inference(forward_subsumption_resolution,[status(thm)],[f104016,f100697])).
% 56.17/44.13 fof(f105538,plain,(
% 56.17/44.13 ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO))=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)),
% 56.17/44.13 inference(forward_demodulation,[status(thm)],[f21634,f88224])).
% 56.17/44.13 fof(f105539,plain,(
% 56.17/44.13 sK16093_skl=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)),
% 56.17/44.13 inference(forward_demodulation,[status(thm)],[f104017,f105538])).
% 56.17/44.13 fof(f105540,plain,(
% 56.17/44.13 sK16093_skl=ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO)),
% 56.17/44.13 inference(forward_demodulation,[status(thm)],[f21634,f105539])).
% 56.17/44.13 fof(f105541,plain,(
% 56.17/44.13 $false),
% 56.17/44.13 inference(forward_subsumption_resolution,[status(thm)],[f105540,f100697])).
% 56.17/44.13 % SZS output end CNFRefutation for theBenchmark.p
% 42.23/44.40 % Elapsed time: 43.832385 seconds
% 42.23/44.40 % CPU time: 54.900038 seconds
% 42.23/44.40 % Total memory used: 4.811 GB
% 42.23/44.40 % Net memory used: 4.772 GB
%------------------------------------------------------------------------------