%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG047+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 02:05:13 PM UTC 2026
% Result : Theorem 0.12s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG047+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n015.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 04:18:21 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.41 fof(f5,axiom,(
% 0.12/0.41 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( szszuzczcdt0(W0) = szszuzczcdt0(W1)=> W0 = W1 ) ) )),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f30,axiom,(
% 0.12/0.41 (! [W0] :( aVector0(W0)=> aNaturalNumber0(aDimensionOf0(W0)) ) )),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f34,hypothesis,(
% 0.12/0.41 ( aDimensionOf0(xs) = aDimensionOf0(xt)& aDimensionOf0(xt) != sz00 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f35,conjecture,(
% 0.12/0.41 ( ( aVector0(sziznziztdt0(xs))& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)& (! [W0] :( aNaturalNumber0(W0)=> sdtlbdtrb0(sziznziztdt0(xs),W0) = sdtlbdtrb0(xs,W0) ) ))=> ( ( aVector0(sziznziztdt0(xt))& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt)& (! [W0] :( aNaturalNumber0(W0)=> sdtlbdtrb0(sziznziztdt0(xt),W0) = sdtlbdtrb0(xt,W0) ) ))=> aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) ) ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f36,negated_conjecture,(
% 0.12/0.41 ~(( ( aVector0(sziznziztdt0(xs))& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)& (! [W0] :( aNaturalNumber0(W0)=> sdtlbdtrb0(sziznziztdt0(xs),W0) = sdtlbdtrb0(xs,W0) ) ))=> ( ( aVector0(sziznziztdt0(xt))& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt)& (! [W0] :( aNaturalNumber0(W0)=> sdtlbdtrb0(sziznziztdt0(xt),W0) = sdtlbdtrb0(xt,W0) ) ))=> aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) ) ) )),
% 0.12/0.41 inference(negated_conjecture,[status(cth)],[f35])).
% 0.12/0.41 fof(f48,plain,(
% 0.12/0.41 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~szszuzczcdt0(W0)=szszuzczcdt0(W1)|W0=W1))),
% 0.12/0.41 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.12/0.41 fof(f49,plain,(
% 0.12/0.41 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~szszuzczcdt0(X0)=szszuzczcdt0(X1)|X0=X1)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f48])).
% 0.12/0.41 fof(f112,plain,(
% 0.12/0.41 ![W0]: (~aVector0(W0)|aNaturalNumber0(aDimensionOf0(W0)))),
% 0.12/0.41 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.12/0.41 fof(f113,plain,(
% 0.12/0.41 ![X0]: (~aVector0(X0)|aNaturalNumber0(aDimensionOf0(X0)))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f112])).
% 0.12/0.41 fof(f127,plain,(
% 0.12/0.41 aDimensionOf0(xs)=aDimensionOf0(xt)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.41 fof(f129,plain,(
% 0.12/0.41 (((aVector0(sziznziztdt0(xs))&szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))=aDimensionOf0(xs))&(![W0]: (~aNaturalNumber0(W0)|sdtlbdtrb0(sziznziztdt0(xs),W0)=sdtlbdtrb0(xs,W0))))&(((aVector0(sziznziztdt0(xt))&szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))=aDimensionOf0(xt))&(![W0]: (~aNaturalNumber0(W0)|sdtlbdtrb0(sziznziztdt0(xt),W0)=sdtlbdtrb0(xt,W0))))&~aDimensionOf0(sziznziztdt0(xs))=aDimensionOf0(sziznziztdt0(xt))))),
% 0.12/0.41 inference(pre_NNF_transformation,[status(thm)],[f36])).
% 0.12/0.41 fof(f130,plain,(
% 0.12/0.41 aVector0(sziznziztdt0(xs))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f129])).
% 0.12/0.41 fof(f131,plain,(
% 0.12/0.41 szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))=aDimensionOf0(xs)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f129])).
% 0.12/0.41 fof(f133,plain,(
% 0.12/0.41 aVector0(sziznziztdt0(xt))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f129])).
% 0.12/0.41 fof(f134,plain,(
% 0.12/0.41 szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))=aDimensionOf0(xt)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f129])).
% 0.12/0.41 fof(f136,plain,(
% 0.12/0.41 ~aDimensionOf0(sziznziztdt0(xs))=aDimensionOf0(sziznziztdt0(xt))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f129])).
% 0.12/0.41 fof(f157,plain,(
% 0.12/0.41 aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))),
% 0.12/0.41 inference(resolution,[status(thm)],[f113,f133])).
% 0.12/0.41 fof(f158,plain,(
% 0.12/0.41 aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))),
% 0.12/0.41 inference(resolution,[status(thm)],[f113,f130])).
% 0.12/0.41 fof(f164,plain,(
% 0.12/0.41 szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))=aDimensionOf0(xt)),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f127,f131])).
% 0.12/0.41 fof(f170,plain,(
% 0.12/0.41 ![X0]: (~aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))|~aNaturalNumber0(X0)|~aDimensionOf0(xt)=szszuzczcdt0(X0)|aDimensionOf0(sziznziztdt0(xt))=X0)),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f134,f49])).
% 0.12/0.42 fof(f173,definition,(
% 0.12/0.42 sQ4_spl <=> (aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))))),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f175,plain,(
% 0.12/0.42 ~aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))|sQ4_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f173])).
% 0.12/0.42 fof(f176,definition,(
% 0.12/0.42 ![X0]: (sQ5_spl <=> (~aNaturalNumber0(X0)|~aDimensionOf0(xt)=szszuzczcdt0(X0)|aDimensionOf0(sziznziztdt0(xt))=X0))),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f177,plain,(
% 0.12/0.42 ![X0]: (~aNaturalNumber0(X0)|~aDimensionOf0(xt)=szszuzczcdt0(X0)|aDimensionOf0(sziznziztdt0(xt))=X0|~sQ5_spl)),
% 0.12/0.42 inference(component_clause,[status(thm)],[f176])).
% 0.12/0.42 fof(f179,plain,(
% 0.12/0.42 ~sQ4_spl|sQ5_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f170,f173,f176])).
% 0.12/0.42 fof(f181,plain,(
% 0.12/0.42 $false|sQ4_spl),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f175,f157])).
% 0.12/0.42 fof(f182,plain,(
% 0.12/0.42 sQ4_spl),
% 0.12/0.42 inference(contradiction_clause,[status(thm)],[f181])).
% 0.12/0.42 fof(f761,plain,(
% 0.12/0.42 ~aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))|aDimensionOf0(sziznziztdt0(xt))=aDimensionOf0(sziznziztdt0(xs))|~sQ5_spl),
% 0.12/0.42 inference(resolution,[status(thm)],[f164,f177])).
% 0.12/0.42 fof(f766,definition,(
% 0.12/0.42 sQ48_spl <=> (aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))))),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f768,plain,(
% 0.12/0.42 ~aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))|sQ48_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f766])).
% 0.12/0.42 fof(f769,definition,(
% 0.12/0.42 sQ49_spl <=> (aDimensionOf0(sziznziztdt0(xt))=aDimensionOf0(sziznziztdt0(xs)))),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f770,plain,(
% 0.12/0.42 aDimensionOf0(sziznziztdt0(xt))=aDimensionOf0(sziznziztdt0(xs))|~sQ49_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f769])).
% 0.12/0.42 fof(f772,plain,(
% 0.12/0.42 ~sQ48_spl|sQ49_spl|~sQ5_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f761,f766,f769,f176])).
% 0.12/0.42 fof(f827,plain,(
% 0.12/0.42 $false|sQ48_spl),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f768,f158])).
% 0.12/0.42 fof(f828,plain,(
% 0.12/0.42 sQ48_spl),
% 0.12/0.42 inference(contradiction_clause,[status(thm)],[f827])).
% 0.12/0.42 fof(f2198,plain,(
% 0.12/0.42 $false|~sQ49_spl),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f770,f136])).
% 0.12/0.42 fof(f2199,plain,(
% 0.12/0.42 ~sQ49_spl),
% 0.12/0.42 inference(contradiction_clause,[status(thm)],[f2198])).
% 0.12/0.42 fof(f2200,plain,(
% 0.12/0.42 $false),
% 0.12/0.42 inference(sat_refutation,[status(thm)],[f179,f182,f772,f828,f2199])).
% 0.12/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.44 % Elapsed time: 0.080512 seconds
% 0.12/0.44 % CPU time: 0.360185 seconds
% 0.12/0.44 % Total memory used: 57.833 MB
% 0.12/0.44 % Net memory used: 57.298 MB
%------------------------------------------------------------------------------