%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG047+1 : 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 : n017.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 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG047+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 04:10:27 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f5,axiom,(
% 0.12/0.39 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( szszuzczcdt0(W0) = szszuzczcdt0(W1)=> W0 = W1 ) ) )),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f30,axiom,(
% 0.12/0.39 (! [W0] :( aVector0(W0)=> aNaturalNumber0(aDimensionOf0(W0)) ) )),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f32,definition,(
% 0.12/0.39 (! [W0] :( aVector0(W0)=> ( aDimensionOf0(W0) != sz00=> (! [W1] :( W1 = sziznziztdt0(W0)<=> ( aVector0(W1)& szszuzczcdt0(aDimensionOf0(W1)) = aDimensionOf0(W0)& (! [W2] :( aNaturalNumber0(W2)=> sdtlbdtrb0(W1,W2) = sdtlbdtrb0(W0,W2) ) )) ) )) ) )),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f33,hypothesis,(
% 0.12/0.39 ( aVector0(xs)& aVector0(xt) ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f34,hypothesis,(
% 0.12/0.39 ( aDimensionOf0(xs) = aDimensionOf0(xt)& aDimensionOf0(xt) != sz00 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f35,conjecture,(
% 0.12/0.39 aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f36,negated_conjecture,(
% 0.12/0.39 ~(aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) )),
% 0.12/0.39 inference(negated_conjecture,[status(cth)],[f35])).
% 0.12/0.39 fof(f48,plain,(
% 0.12/0.39 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~szszuzczcdt0(W0)=szszuzczcdt0(W1)|W0=W1))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.12/0.39 fof(f49,plain,(
% 0.12/0.39 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~szszuzczcdt0(X0)=szszuzczcdt0(X1)|X0=X1)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f48])).
% 0.12/0.39 fof(f112,plain,(
% 0.12/0.39 ![W0]: (~aVector0(W0)|aNaturalNumber0(aDimensionOf0(W0)))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.12/0.39 fof(f113,plain,(
% 0.12/0.39 ![X0]: (~aVector0(X0)|aNaturalNumber0(aDimensionOf0(X0)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f112])).
% 0.12/0.39 fof(f116,plain,(
% 0.12/0.39 ![W0]: (~aVector0(W0)|(aDimensionOf0(W0)=sz00|(![W1]: (W1=sziznziztdt0(W0)<=>((aVector0(W1)&szszuzczcdt0(aDimensionOf0(W1))=aDimensionOf0(W0))&(![W2]: (~aNaturalNumber0(W2)|sdtlbdtrb0(W1,W2)=sdtlbdtrb0(W0,W2))))))))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f32])).
% 0.12/0.39 fof(f117,plain,(
% 0.12/0.39 ![W0]: (~aVector0(W0)|(aDimensionOf0(W0)=sz00|(![W1]: ((~W1=sziznziztdt0(W0)|((aVector0(W1)&szszuzczcdt0(aDimensionOf0(W1))=aDimensionOf0(W0))&(![W2]: (~aNaturalNumber0(W2)|sdtlbdtrb0(W1,W2)=sdtlbdtrb0(W0,W2)))))&(W1=sziznziztdt0(W0)|((~aVector0(W1)|~szszuzczcdt0(aDimensionOf0(W1))=aDimensionOf0(W0))|(?[W2]: (aNaturalNumber0(W2)&~sdtlbdtrb0(W1,W2)=sdtlbdtrb0(W0,W2)))))))))),
% 0.12/0.39 inference(NNF_transformation,[status(thm)],[f116])).
% 0.12/0.39 fof(f118,plain,(
% 0.12/0.39 ![W0]: (~aVector0(W0)|(aDimensionOf0(W0)=sz00|((![W1]: (~W1=sziznziztdt0(W0)|((aVector0(W1)&szszuzczcdt0(aDimensionOf0(W1))=aDimensionOf0(W0))&(![W2]: (~aNaturalNumber0(W2)|sdtlbdtrb0(W1,W2)=sdtlbdtrb0(W0,W2))))))&(![W1]: (W1=sziznziztdt0(W0)|((~aVector0(W1)|~szszuzczcdt0(aDimensionOf0(W1))=aDimensionOf0(W0))|(?[W2]: (aNaturalNumber0(W2)&~sdtlbdtrb0(W1,W2)=sdtlbdtrb0(W0,W2)))))))))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f117])).
% 0.12/0.40 fof(f119,plain,(
% 0.12/0.40 ![W0]: (~aVector0(W0)|(aDimensionOf0(W0)=sz00|((![W1]: (~W1=sziznziztdt0(W0)|((aVector0(W1)&szszuzczcdt0(aDimensionOf0(W1))=aDimensionOf0(W0))&(![W2]: (~aNaturalNumber0(W2)|sdtlbdtrb0(W1,W2)=sdtlbdtrb0(W0,W2))))))&(![W1]: (W1=sziznziztdt0(W0)|((~aVector0(W1)|~szszuzczcdt0(aDimensionOf0(W1))=aDimensionOf0(W0))|(aNaturalNumber0(sK1_skl(W1,W0))&~sdtlbdtrb0(W1,sK1_skl(W1,W0))=sdtlbdtrb0(W0,sK1_skl(W1,W0)))))))))),
% 0.12/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W2,sK1_skl(W1,W0))],[f118])).
% 0.12/0.40 fof(f120,plain,(
% 0.12/0.40 ![X0,X1]: (~aVector0(X0)|aDimensionOf0(X0)=sz00|~X1=sziznziztdt0(X0)|aVector0(X1))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f119])).
% 0.12/0.40 fof(f121,plain,(
% 0.12/0.40 ![X0,X1]: (~aVector0(X0)|aDimensionOf0(X0)=sz00|~X1=sziznziztdt0(X0)|szszuzczcdt0(aDimensionOf0(X1))=aDimensionOf0(X0))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f119])).
% 0.12/0.40 fof(f125,plain,(
% 0.12/0.40 aVector0(xs)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.12/0.40 fof(f126,plain,(
% 0.12/0.40 aVector0(xt)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.12/0.40 fof(f127,plain,(
% 0.12/0.40 aDimensionOf0(xs)=aDimensionOf0(xt)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.40 fof(f128,plain,(
% 0.12/0.40 ~aDimensionOf0(xt)=sz00),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.40 fof(f129,plain,(
% 0.12/0.40 ~aDimensionOf0(sziznziztdt0(xs))=aDimensionOf0(sziznziztdt0(xt))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/0.40 fof(f130,plain,(
% 0.12/0.40 ![X0]: (~aVector0(X0)|aDimensionOf0(X0)=sz00|aVector0(sziznziztdt0(X0)))),
% 0.12/0.40 inference(destructive_equality_resolution,[status(thm)],[f120])).
% 0.12/0.40 fof(f131,plain,(
% 0.12/0.40 ![X0]: (~aVector0(X0)|aDimensionOf0(X0)=sz00|szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))=aDimensionOf0(X0))),
% 0.12/0.40 inference(destructive_equality_resolution,[status(thm)],[f121])).
% 0.12/0.40 fof(f134,plain,(
% 0.12/0.40 aDimensionOf0(xs)=sz00|szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))=aDimensionOf0(xs)),
% 0.12/0.40 inference(resolution,[status(thm)],[f125,f131])).
% 0.12/0.40 fof(f135,plain,(
% 0.12/0.40 aDimensionOf0(xt)=sz00|szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))=aDimensionOf0(xt)),
% 0.12/0.40 inference(resolution,[status(thm)],[f126,f131])).
% 0.12/0.40 fof(f136,plain,(
% 0.12/0.40 ~aDimensionOf0(xs)=sz00),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f127,f128])).
% 0.12/0.40 fof(f143,plain,(
% 0.12/0.40 szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))=aDimensionOf0(xs)),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f134,f136])).
% 0.12/0.40 fof(f156,plain,(
% 0.12/0.40 aDimensionOf0(xs)=sz00|szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))=aDimensionOf0(xt)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f127,f135])).
% 0.12/0.40 fof(f157,plain,(
% 0.12/0.40 aDimensionOf0(xs)=sz00|szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))=aDimensionOf0(xs)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f127,f156])).
% 0.12/0.40 fof(f158,plain,(
% 0.12/0.40 szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))=aDimensionOf0(xs)),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f157,f136])).
% 0.12/0.40 fof(f173,plain,(
% 0.12/0.40 ![X0]: (aNaturalNumber0(aDimensionOf0(sziznziztdt0(X0)))|~aVector0(X0)|aDimensionOf0(X0)=sz00)),
% 0.12/0.40 inference(resolution,[status(thm)],[f113,f130])).
% 0.12/0.40 fof(f195,plain,(
% 0.12/0.40 aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))|aDimensionOf0(xt)=sz00),
% 0.12/0.40 inference(resolution,[status(thm)],[f173,f126])).
% 0.12/0.40 fof(f196,plain,(
% 0.12/0.40 aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))|aDimensionOf0(xs)=sz00),
% 0.12/0.40 inference(resolution,[status(thm)],[f173,f125])).
% 0.12/0.40 fof(f198,plain,(
% 0.12/0.40 aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))|aDimensionOf0(xs)=sz00),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f127,f195])).
% 0.12/0.40 fof(f199,plain,(
% 0.12/0.40 aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f198,f136])).
% 0.12/0.40 fof(f200,plain,(
% 0.12/0.40 aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f196,f136])).
% 0.12/0.40 fof(f202,plain,(
% 0.12/0.40 ![X0]: (~aNaturalNumber0(X0)|~szszuzczcdt0(X0)=szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))|X0=aDimensionOf0(sziznziztdt0(xt)))),
% 0.12/0.40 inference(resolution,[status(thm)],[f199,f49])).
% 0.12/0.40 fof(f205,plain,(
% 0.12/0.40 ![X0]: (~aNaturalNumber0(X0)|~szszuzczcdt0(X0)=aDimensionOf0(xs)|X0=aDimensionOf0(sziznziztdt0(xt)))),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f158,f202])).
% 0.12/0.40 fof(f273,plain,(
% 0.12/0.40 ~szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))=aDimensionOf0(xs)|aDimensionOf0(sziznziztdt0(xs))=aDimensionOf0(sziznziztdt0(xt))),
% 0.12/0.40 inference(resolution,[status(thm)],[f205,f200])).
% 0.12/0.40 fof(f279,plain,(
% 0.12/0.40 ~aDimensionOf0(xs)=aDimensionOf0(xs)|aDimensionOf0(sziznziztdt0(xs))=aDimensionOf0(sziznziztdt0(xt))),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f143,f273])).
% 0.12/0.40 fof(f280,plain,(
% 0.12/0.40 aDimensionOf0(sziznziztdt0(xs))=aDimensionOf0(sziznziztdt0(xt))),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f279])).
% 0.12/0.40 fof(f281,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f280,f129])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.050793 seconds
% 0.12/0.42 % CPU time: 0.161551 seconds
% 0.12/0.42 % Total memory used: 84.581 MB
% 0.12/0.42 % Net memory used: 84.499 MB
%------------------------------------------------------------------------------