TSTP Solution File: RNG047+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG047+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:37:49 EDT 2024
% Result : Theorem 0.20s 0.46s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG047+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 22:22:58 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.20/0.46 % Refutation found
% 0.20/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.46 fof(f5,axiom,(
% 0.20/0.46 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( szszuzczcdt0(W0) = szszuzczcdt0(W1)=> W0 = W1 ) ) )),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f30,axiom,(
% 0.20/0.46 (! [W0] :( aVector0(W0)=> aNaturalNumber0(aDimensionOf0(W0)) ) )),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f32,definition,(
% 0.20/0.46 (! [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) ) )) ) )) ) )),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f33,hypothesis,(
% 0.20/0.46 ( aVector0(xs)& aVector0(xt) ) ),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f34,hypothesis,(
% 0.20/0.46 ( aDimensionOf0(xs) = aDimensionOf0(xt)& aDimensionOf0(xt) != sz00 ) ),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f35,conjecture,(
% 0.20/0.46 aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) ),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f36,negated_conjecture,(
% 0.20/0.46 ~(aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) )),
% 0.20/0.46 inference(negated_conjecture,[status(cth)],[f35])).
% 0.20/0.46 fof(f48,plain,(
% 0.20/0.46 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~szszuzczcdt0(W0)=szszuzczcdt0(W1)|W0=W1))),
% 0.20/0.46 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.20/0.46 fof(f49,plain,(
% 0.20/0.46 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~szszuzczcdt0(X0)=szszuzczcdt0(X1)|X0=X1)),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f48])).
% 0.20/0.46 fof(f112,plain,(
% 0.20/0.46 ![W0]: (~aVector0(W0)|aNaturalNumber0(aDimensionOf0(W0)))),
% 0.20/0.46 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 0.20/0.46 fof(f113,plain,(
% 0.20/0.46 ![X0]: (~aVector0(X0)|aNaturalNumber0(aDimensionOf0(X0)))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f112])).
% 0.20/0.46 fof(f116,plain,(
% 0.20/0.46 ![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))))))))),
% 0.20/0.46 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 0.20/0.46 fof(f117,plain,(
% 0.20/0.46 ![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)))))))))),
% 0.20/0.46 inference(NNF_transformation,[status(esa)],[f116])).
% 0.20/0.46 fof(f118,plain,(
% 0.20/0.46 ![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)))))))))),
% 0.20/0.46 inference(miniscoping,[status(esa)],[f117])).
% 0.20/0.46 fof(f119,plain,(
% 0.20/0.46 ![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(sk0_1(W1,W0))&~sdtlbdtrb0(W1,sk0_1(W1,W0))=sdtlbdtrb0(W0,sk0_1(W1,W0)))))))))),
% 0.20/0.46 inference(skolemization,[status(esa)],[f118])).
% 0.20/0.46 fof(f120,plain,(
% 0.20/0.46 ![X0,X1]: (~aVector0(X0)|aDimensionOf0(X0)=sz00|~X1=sziznziztdt0(X0)|aVector0(X1))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f119])).
% 0.20/0.46 fof(f121,plain,(
% 0.20/0.46 ![X0,X1]: (~aVector0(X0)|aDimensionOf0(X0)=sz00|~X1=sziznziztdt0(X0)|szszuzczcdt0(aDimensionOf0(X1))=aDimensionOf0(X0))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f119])).
% 0.20/0.46 fof(f125,plain,(
% 0.20/0.46 aVector0(xs)),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f33])).
% 0.20/0.46 fof(f126,plain,(
% 0.20/0.46 aVector0(xt)),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f33])).
% 0.20/0.46 fof(f127,plain,(
% 0.20/0.46 aDimensionOf0(xs)=aDimensionOf0(xt)),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f34])).
% 0.20/0.46 fof(f128,plain,(
% 0.20/0.46 ~aDimensionOf0(xt)=sz00),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f34])).
% 0.20/0.46 fof(f129,plain,(
% 0.20/0.46 ~aDimensionOf0(sziznziztdt0(xs))=aDimensionOf0(sziznziztdt0(xt))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f36])).
% 0.20/0.46 fof(f145,plain,(
% 0.20/0.46 ![X0]: (~aVector0(X0)|aDimensionOf0(X0)=sz00|aVector0(sziznziztdt0(X0)))),
% 0.20/0.46 inference(destructive_equality_resolution,[status(esa)],[f120])).
% 0.20/0.46 fof(f146,plain,(
% 0.20/0.46 ![X0]: (~aVector0(X0)|aDimensionOf0(X0)=sz00|szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))=aDimensionOf0(X0))),
% 0.20/0.46 inference(destructive_equality_resolution,[status(esa)],[f121])).
% 0.20/0.46 fof(f148,plain,(
% 0.20/0.46 spl0_4 <=> aDimensionOf0(xt)=sz00),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f149,plain,(
% 0.20/0.46 aDimensionOf0(xt)=sz00|~spl0_4),
% 0.20/0.46 inference(component_clause,[status(thm)],[f148])).
% 0.20/0.46 fof(f151,plain,(
% 0.20/0.46 spl0_5 <=> aVector0(sziznziztdt0(xt))),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f152,plain,(
% 0.20/0.46 aVector0(sziznziztdt0(xt))|~spl0_5),
% 0.20/0.46 inference(component_clause,[status(thm)],[f151])).
% 0.20/0.46 fof(f154,plain,(
% 0.20/0.46 aDimensionOf0(xt)=sz00|aVector0(sziznziztdt0(xt))),
% 0.20/0.46 inference(resolution,[status(thm)],[f145,f126])).
% 0.20/0.46 fof(f155,plain,(
% 0.20/0.46 spl0_4|spl0_5),
% 0.20/0.46 inference(split_clause,[status(thm)],[f154,f148,f151])).
% 0.20/0.46 fof(f156,plain,(
% 0.20/0.46 spl0_6 <=> aDimensionOf0(xs)=sz00),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f157,plain,(
% 0.20/0.46 aDimensionOf0(xs)=sz00|~spl0_6),
% 0.20/0.46 inference(component_clause,[status(thm)],[f156])).
% 0.20/0.46 fof(f159,plain,(
% 0.20/0.46 spl0_7 <=> aVector0(sziznziztdt0(xs))),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f160,plain,(
% 0.20/0.46 aVector0(sziznziztdt0(xs))|~spl0_7),
% 0.20/0.46 inference(component_clause,[status(thm)],[f159])).
% 0.20/0.46 fof(f162,plain,(
% 0.20/0.46 aDimensionOf0(xs)=sz00|aVector0(sziznziztdt0(xs))),
% 0.20/0.46 inference(resolution,[status(thm)],[f145,f125])).
% 0.20/0.46 fof(f163,plain,(
% 0.20/0.46 spl0_6|spl0_7),
% 0.20/0.46 inference(split_clause,[status(thm)],[f162,f156,f159])).
% 0.20/0.46 fof(f164,plain,(
% 0.20/0.46 aDimensionOf0(xs)=sz00|~spl0_4),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f127,f149])).
% 0.20/0.46 fof(f165,plain,(
% 0.20/0.46 spl0_8 <=> szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))=aDimensionOf0(xt)),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f166,plain,(
% 0.20/0.46 szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))=aDimensionOf0(xt)|~spl0_8),
% 0.20/0.46 inference(component_clause,[status(thm)],[f165])).
% 0.20/0.46 fof(f168,plain,(
% 0.20/0.46 aDimensionOf0(xt)=sz00|szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))=aDimensionOf0(xt)),
% 0.20/0.46 inference(resolution,[status(thm)],[f146,f126])).
% 0.20/0.46 fof(f169,plain,(
% 0.20/0.46 spl0_4|spl0_8),
% 0.20/0.46 inference(split_clause,[status(thm)],[f168,f148,f165])).
% 0.20/0.46 fof(f170,plain,(
% 0.20/0.46 spl0_9 <=> szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))=aDimensionOf0(xs)),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f171,plain,(
% 0.20/0.46 szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))=aDimensionOf0(xs)|~spl0_9),
% 0.20/0.46 inference(component_clause,[status(thm)],[f170])).
% 0.20/0.46 fof(f173,plain,(
% 0.20/0.46 aDimensionOf0(xs)=sz00|szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))=aDimensionOf0(xs)),
% 0.20/0.46 inference(resolution,[status(thm)],[f146,f125])).
% 0.20/0.46 fof(f174,plain,(
% 0.20/0.46 spl0_6|spl0_9),
% 0.20/0.46 inference(split_clause,[status(thm)],[f173,f156,f170])).
% 0.20/0.46 fof(f175,plain,(
% 0.20/0.46 ~aDimensionOf0(xs)=sz00),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f127,f128])).
% 0.20/0.46 fof(f341,plain,(
% 0.20/0.46 $false|~spl0_6),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[f157,f175])).
% 0.20/0.46 fof(f342,plain,(
% 0.20/0.46 ~spl0_6),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f341])).
% 0.20/0.46 fof(f343,plain,(
% 0.20/0.46 aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))|~spl0_7),
% 0.20/0.46 inference(resolution,[status(thm)],[f160,f113])).
% 0.20/0.46 fof(f366,plain,(
% 0.20/0.46 $false|~spl0_4),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[f164,f175])).
% 0.20/0.46 fof(f367,plain,(
% 0.20/0.46 ~spl0_4),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f366])).
% 0.20/0.46 fof(f368,plain,(
% 0.20/0.46 szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))=aDimensionOf0(xs)|~spl0_8),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f127,f166])).
% 0.20/0.46 fof(f370,plain,(
% 0.20/0.46 aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))|~spl0_5),
% 0.20/0.46 inference(resolution,[status(thm)],[f152,f113])).
% 0.20/0.46 fof(f384,plain,(
% 0.20/0.46 spl0_46 <=> ~aNaturalNumber0(X0)|~szszuzczcdt0(X0)=aDimensionOf0(xs)|X0=aDimensionOf0(sziznziztdt0(xs))),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f385,plain,(
% 0.20/0.46 ![X0]: (~aNaturalNumber0(X0)|~szszuzczcdt0(X0)=aDimensionOf0(xs)|X0=aDimensionOf0(sziznziztdt0(xs))|~spl0_46)),
% 0.20/0.46 inference(component_clause,[status(thm)],[f384])).
% 0.20/0.46 fof(f387,plain,(
% 0.20/0.46 spl0_47 <=> aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f389,plain,(
% 0.20/0.46 ~aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))|spl0_47),
% 0.20/0.46 inference(component_clause,[status(thm)],[f387])).
% 0.20/0.46 fof(f390,plain,(
% 0.20/0.46 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))|~szszuzczcdt0(X0)=aDimensionOf0(xs)|X0=aDimensionOf0(sziznziztdt0(xs))|~spl0_9)),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f171,f49])).
% 0.20/0.46 fof(f391,plain,(
% 0.20/0.46 spl0_46|~spl0_47|~spl0_9),
% 0.20/0.46 inference(split_clause,[status(thm)],[f390,f384,f387,f170])).
% 0.20/0.46 fof(f704,plain,(
% 0.20/0.46 $false|spl0_47|~spl0_7),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[f343,f389])).
% 0.20/0.46 fof(f705,plain,(
% 0.20/0.46 spl0_47|~spl0_7),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f704])).
% 0.20/0.46 fof(f755,plain,(
% 0.20/0.46 spl0_89 <=> aDimensionOf0(sziznziztdt0(xt))=aDimensionOf0(sziznziztdt0(xs))),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f756,plain,(
% 0.20/0.46 aDimensionOf0(sziznziztdt0(xt))=aDimensionOf0(sziznziztdt0(xs))|~spl0_89),
% 0.20/0.46 inference(component_clause,[status(thm)],[f755])).
% 0.20/0.46 fof(f849,plain,(
% 0.20/0.46 spl0_98 <=> aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f851,plain,(
% 0.20/0.46 ~aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))|spl0_98),
% 0.20/0.46 inference(component_clause,[status(thm)],[f849])).
% 0.20/0.46 fof(f852,plain,(
% 0.20/0.46 ~aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))|aDimensionOf0(sziznziztdt0(xt))=aDimensionOf0(sziznziztdt0(xs))|~spl0_8|~spl0_46),
% 0.20/0.46 inference(resolution,[status(thm)],[f368,f385])).
% 0.20/0.46 fof(f853,plain,(
% 0.20/0.46 ~spl0_98|spl0_89|~spl0_8|~spl0_46),
% 0.20/0.46 inference(split_clause,[status(thm)],[f852,f849,f755,f165,f384])).
% 0.20/0.46 fof(f870,plain,(
% 0.20/0.46 $false|~spl0_5|spl0_98),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[f851,f370])).
% 0.20/0.46 fof(f871,plain,(
% 0.20/0.46 ~spl0_5|spl0_98),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f870])).
% 0.20/0.46 fof(f872,plain,(
% 0.20/0.46 $false|~spl0_89),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[f756,f129])).
% 0.20/0.46 fof(f873,plain,(
% 0.20/0.46 ~spl0_89),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f872])).
% 0.20/0.46 fof(f874,plain,(
% 0.20/0.46 $false),
% 0.20/0.46 inference(sat_refutation,[status(thm)],[f155,f163,f169,f174,f342,f367,f391,f705,f853,f871,f873])).
% 0.20/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.48 % Elapsed time: 0.125128 seconds
% 0.20/0.48 % CPU time: 0.733485 seconds
% 0.20/0.48 % Total memory used: 71.244 MB
% 0.20/0.48 % Net memory used: 70.382 MB
%------------------------------------------------------------------------------