TSTP Solution File: NUM457+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM457+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:34:45 EDT 2024
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM457+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n020.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 20:42:02 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.35 fof(f2,axiom,(
% 0.13/0.35 aNaturalNumber0(sz00) ),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f12,axiom,(
% 0.13/0.35 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz00) = sz00& sz00 = sdtasdt0(sz00,W0) ) ) )),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f15,axiom,(
% 0.13/0.35 (! [W0] :( aNaturalNumber0(W0)=> ( W0 != sz00=> (! [W1,W2] :( ( aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2)| sdtasdt0(W1,W0) = sdtasdt0(W2,W0) )=> W1 = W2 ) ) )) ) )),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f17,hypothesis,(
% 0.13/0.35 ( aNaturalNumber0(xm)& aNaturalNumber0(xn) ) ),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f18,conjecture,(
% 0.13/0.35 ( sdtasdt0(xm,xn) = sz00=> ( xm = sz00| xn = sz00 ) ) ),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f19,negated_conjecture,(
% 0.13/0.35 ~(( sdtasdt0(xm,xn) = sz00=> ( xm = sz00| xn = sz00 ) ) )),
% 0.13/0.35 inference(negated_conjecture,[status(cth)],[f18])).
% 0.13/0.35 fof(f23,plain,(
% 0.13/0.35 aNaturalNumber0(sz00)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f2])).
% 0.13/0.35 fof(f44,plain,(
% 0.13/0.35 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)))),
% 0.13/0.35 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.13/0.35 fof(f45,plain,(
% 0.13/0.35 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,sz00)=sz00)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f44])).
% 0.13/0.35 fof(f53,plain,(
% 0.13/0.35 ![W0]: (~aNaturalNumber0(W0)|(W0=sz00|(![W1,W2]: ((~aNaturalNumber0(W1)|~aNaturalNumber0(W2))|((~sdtasdt0(W0,W1)=sdtasdt0(W0,W2)&~sdtasdt0(W1,W0)=sdtasdt0(W2,W0))|W1=W2)))))),
% 0.13/0.35 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.13/0.35 fof(f54,plain,(
% 0.13/0.35 ![X0,X1,X2]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtasdt0(X0,X1)=sdtasdt0(X0,X2)|X1=X2)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f53])).
% 0.13/0.35 fof(f59,plain,(
% 0.13/0.35 aNaturalNumber0(xm)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.35 fof(f60,plain,(
% 0.13/0.35 aNaturalNumber0(xn)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.35 fof(f61,plain,(
% 0.13/0.35 (sdtasdt0(xm,xn)=sz00&(~xm=sz00&~xn=sz00))),
% 0.13/0.35 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.13/0.35 fof(f62,plain,(
% 0.13/0.35 sdtasdt0(xm,xn)=sz00),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f61])).
% 0.13/0.35 fof(f63,plain,(
% 0.13/0.35 ~xm=sz00),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f61])).
% 0.13/0.35 fof(f64,plain,(
% 0.13/0.35 ~xn=sz00),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f61])).
% 0.13/0.35 fof(f75,plain,(
% 0.13/0.35 sdtasdt0(xm,sz00)=sz00),
% 0.13/0.35 inference(resolution,[status(thm)],[f45,f59])).
% 0.13/0.35 fof(f149,plain,(
% 0.13/0.35 spl0_4 <=> xn=sz00),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f150,plain,(
% 0.13/0.35 xn=sz00|~spl0_4),
% 0.13/0.35 inference(component_clause,[status(thm)],[f149])).
% 0.13/0.35 fof(f157,plain,(
% 0.13/0.35 spl0_6 <=> xm=sz00),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f158,plain,(
% 0.13/0.35 xm=sz00|~spl0_6),
% 0.13/0.35 inference(component_clause,[status(thm)],[f157])).
% 0.13/0.35 fof(f160,plain,(
% 0.13/0.35 spl0_7 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtasdt0(xm,X0)=sdtasdt0(xm,X1)|X0=X1),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f161,plain,(
% 0.13/0.35 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtasdt0(xm,X0)=sdtasdt0(xm,X1)|X0=X1|~spl0_7)),
% 0.13/0.35 inference(component_clause,[status(thm)],[f160])).
% 0.13/0.35 fof(f163,plain,(
% 0.13/0.35 ![X0,X1]: (xm=sz00|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtasdt0(xm,X0)=sdtasdt0(xm,X1)|X0=X1)),
% 0.13/0.35 inference(resolution,[status(thm)],[f54,f59])).
% 0.13/0.35 fof(f164,plain,(
% 0.13/0.35 spl0_6|spl0_7),
% 0.13/0.35 inference(split_clause,[status(thm)],[f163,f157,f160])).
% 0.13/0.35 fof(f173,plain,(
% 0.13/0.35 $false|~spl0_6),
% 0.13/0.35 inference(forward_subsumption_resolution,[status(thm)],[f158,f63])).
% 0.13/0.35 fof(f174,plain,(
% 0.13/0.35 ~spl0_6),
% 0.13/0.35 inference(contradiction_clause,[status(thm)],[f173])).
% 0.13/0.35 fof(f175,plain,(
% 0.13/0.35 $false|~spl0_4),
% 0.13/0.35 inference(forward_subsumption_resolution,[status(thm)],[f150,f64])).
% 0.13/0.35 fof(f176,plain,(
% 0.13/0.35 ~spl0_4),
% 0.13/0.35 inference(contradiction_clause,[status(thm)],[f175])).
% 0.13/0.35 fof(f182,plain,(
% 0.13/0.35 ![X0]: (~aNaturalNumber0(X0)|~sdtasdt0(xm,xn)=sdtasdt0(xm,X0)|xn=X0|~spl0_7)),
% 0.13/0.35 inference(resolution,[status(thm)],[f161,f60])).
% 0.13/0.35 fof(f183,plain,(
% 0.13/0.35 ![X0]: (~aNaturalNumber0(X0)|~sz00=sdtasdt0(xm,X0)|xn=X0|~spl0_7)),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f62,f182])).
% 0.13/0.36 fof(f241,plain,(
% 0.13/0.36 spl0_21 <=> sz00=sdtasdt0(xm,sz00)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f243,plain,(
% 0.13/0.36 ~sz00=sdtasdt0(xm,sz00)|spl0_21),
% 0.13/0.36 inference(component_clause,[status(thm)],[f241])).
% 0.13/0.36 fof(f244,plain,(
% 0.13/0.36 ~sz00=sdtasdt0(xm,sz00)|xn=sz00|~spl0_7),
% 0.13/0.36 inference(resolution,[status(thm)],[f183,f23])).
% 0.13/0.36 fof(f245,plain,(
% 0.13/0.36 ~spl0_21|spl0_4|~spl0_7),
% 0.13/0.36 inference(split_clause,[status(thm)],[f244,f241,f149,f160])).
% 0.13/0.36 fof(f246,plain,(
% 0.13/0.36 ~sz00=sz00|spl0_21),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f75,f243])).
% 0.13/0.36 fof(f247,plain,(
% 0.13/0.36 $false|spl0_21),
% 0.13/0.36 inference(trivial_equality_resolution,[status(esa)],[f246])).
% 0.13/0.36 fof(f248,plain,(
% 0.13/0.36 spl0_21),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f247])).
% 0.13/0.36 fof(f249,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f164,f174,f176,f245,f248])).
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 % Elapsed time: 0.021477 seconds
% 0.13/0.37 % CPU time: 0.034759 seconds
% 0.13/0.37 % Total memory used: 13.009 MB
% 0.13/0.37 % Net memory used: 12.942 MB
%------------------------------------------------------------------------------