TSTP Solution File: NUM423+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM423+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 20:34:38 EDT 2024
% Result : Theorem 2.63s 0.68s
% Output : CNFRefutation 2.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : NUM423+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.27 % Computer : n007.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Mon Apr 29 20:30:32 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.08/0.28 % Drodi V3.6.0
% 2.63/0.68 % Refutation found
% 2.63/0.68 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.63/0.68 % SZS output start CNFRefutation for theBenchmark
% 2.63/0.68 fof(f2,axiom,(
% 2.63/0.68 aInteger0(sz00) ),
% 2.63/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.68 fof(f3,axiom,(
% 2.63/0.68 aInteger0(sz10) ),
% 2.63/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.68 fof(f4,axiom,(
% 2.63/0.68 (! [W0] :( aInteger0(W0)=> aInteger0(smndt0(W0)) ) )),
% 2.63/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.68 fof(f5,axiom,(
% 2.63/0.68 (! [W0,W1] :( ( aInteger0(W0)& aInteger0(W1) )=> aInteger0(sdtpldt0(W0,W1)) ) )),
% 2.63/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.68 fof(f6,axiom,(
% 2.63/0.68 (! [W0,W1] :( ( aInteger0(W0)& aInteger0(W1) )=> aInteger0(sdtasdt0(W0,W1)) ) )),
% 2.63/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.68 fof(f9,axiom,(
% 2.63/0.68 (! [W0] :( aInteger0(W0)=> ( sdtpldt0(W0,sz00) = W0& W0 = sdtpldt0(sz00,W0) ) ) )),
% 2.63/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.68 fof(f10,axiom,(
% 2.63/0.68 (! [W0] :( aInteger0(W0)=> ( sdtpldt0(W0,smndt0(W0)) = sz00& sz00 = sdtpldt0(smndt0(W0),W0) ) ) )),
% 2.63/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.68 fof(f13,axiom,(
% 2.63/0.68 (! [W0] :( aInteger0(W0)=> ( sdtasdt0(W0,sz10) = W0& W0 = sdtasdt0(sz10,W0) ) ) )),
% 2.63/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.68 fof(f15,axiom,(
% 2.63/0.68 (! [W0] :( aInteger0(W0)=> ( sdtasdt0(W0,sz00) = sz00& sz00 = sdtasdt0(sz00,W0) ) ) )),
% 2.63/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.68 fof(f18,definition,(
% 2.63/0.68 (! [W0] :( aInteger0(W0)=> (! [W1] :( aDivisorOf0(W1,W0)<=> ( aInteger0(W1)& W1 != sz00& (? [W2] :( aInteger0(W2)& sdtasdt0(W1,W2) = W0 ) )) ) )) )),
% 2.63/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.68 fof(f19,definition,(
% 2.63/0.68 (! [W0,W1,W2] :( ( aInteger0(W0)& aInteger0(W1)& aInteger0(W2)& W2 != sz00 )=> ( sdteqdtlpzmzozddtrp0(W0,W1,W2)<=> aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))) ) ) )),
% 2.63/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.68 fof(f20,hypothesis,(
% 2.63/0.68 ( aInteger0(xa)& aInteger0(xq)& xq != sz00 ) ),
% 2.63/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.68 fof(f21,conjecture,(
% 2.63/0.68 sdteqdtlpzmzozddtrp0(xa,xa,xq) ),
% 2.63/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.68 fof(f22,negated_conjecture,(
% 2.63/0.68 ~(sdteqdtlpzmzozddtrp0(xa,xa,xq) )),
% 2.63/0.68 inference(negated_conjecture,[status(cth)],[f21])).
% 2.63/0.68 fof(f26,plain,(
% 2.63/0.68 aInteger0(sz00)),
% 2.63/0.68 inference(cnf_transformation,[status(esa)],[f2])).
% 2.63/0.68 fof(f27,plain,(
% 2.63/0.68 aInteger0(sz10)),
% 2.63/0.68 inference(cnf_transformation,[status(esa)],[f3])).
% 2.63/0.68 fof(f28,plain,(
% 2.63/0.68 ![W0]: (~aInteger0(W0)|aInteger0(smndt0(W0)))),
% 2.63/0.68 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 2.63/0.68 fof(f29,plain,(
% 2.63/0.68 ![X0]: (~aInteger0(X0)|aInteger0(smndt0(X0)))),
% 2.63/0.68 inference(cnf_transformation,[status(esa)],[f28])).
% 2.63/0.68 fof(f30,plain,(
% 2.63/0.68 ![W0,W1]: ((~aInteger0(W0)|~aInteger0(W1))|aInteger0(sdtpldt0(W0,W1)))),
% 2.63/0.68 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 2.63/0.68 fof(f31,plain,(
% 2.63/0.68 ![X0,X1]: (~aInteger0(X0)|~aInteger0(X1)|aInteger0(sdtpldt0(X0,X1)))),
% 2.63/0.68 inference(cnf_transformation,[status(esa)],[f30])).
% 2.63/0.68 fof(f32,plain,(
% 2.63/0.68 ![W0,W1]: ((~aInteger0(W0)|~aInteger0(W1))|aInteger0(sdtasdt0(W0,W1)))),
% 2.63/0.68 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 2.63/0.68 fof(f33,plain,(
% 2.63/0.68 ![X0,X1]: (~aInteger0(X0)|~aInteger0(X1)|aInteger0(sdtasdt0(X0,X1)))),
% 2.63/0.68 inference(cnf_transformation,[status(esa)],[f32])).
% 2.63/0.68 fof(f38,plain,(
% 2.63/0.68 ![W0]: (~aInteger0(W0)|(sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)))),
% 2.63/0.68 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 2.63/0.68 fof(f40,plain,(
% 2.63/0.68 ![X0]: (~aInteger0(X0)|X0=sdtpldt0(sz00,X0))),
% 2.63/0.68 inference(cnf_transformation,[status(esa)],[f38])).
% 2.63/0.68 fof(f41,plain,(
% 2.63/0.68 ![W0]: (~aInteger0(W0)|(sdtpldt0(W0,smndt0(W0))=sz00&sz00=sdtpldt0(smndt0(W0),W0)))),
% 2.63/0.68 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 2.63/0.68 fof(f42,plain,(
% 2.63/0.68 ![X0]: (~aInteger0(X0)|sdtpldt0(X0,smndt0(X0))=sz00)),
% 2.63/0.68 inference(cnf_transformation,[status(esa)],[f41])).
% 2.63/0.68 fof(f43,plain,(
% 2.63/0.68 ![X0]: (~aInteger0(X0)|sz00=sdtpldt0(smndt0(X0),X0))),
% 2.63/0.68 inference(cnf_transformation,[status(esa)],[f41])).
% 2.63/0.68 fof(f48,plain,(
% 2.63/0.68 ![W0]: (~aInteger0(W0)|(sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)))),
% 2.63/0.68 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 2.63/0.68 fof(f50,plain,(
% 2.63/0.68 ![X0]: (~aInteger0(X0)|X0=sdtasdt0(sz10,X0))),
% 2.63/0.68 inference(cnf_transformation,[status(esa)],[f48])).
% 2.63/0.68 fof(f54,plain,(
% 2.63/0.68 ![W0]: (~aInteger0(W0)|(sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)))),
% 2.63/0.68 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 2.63/0.68 fof(f55,plain,(
% 2.63/0.68 ![X0]: (~aInteger0(X0)|sdtasdt0(X0,sz00)=sz00)),
% 2.63/0.68 inference(cnf_transformation,[status(esa)],[f54])).
% 2.63/0.68 fof(f56,plain,(
% 2.63/0.68 ![X0]: (~aInteger0(X0)|sz00=sdtasdt0(sz00,X0))),
% 2.63/0.68 inference(cnf_transformation,[status(esa)],[f54])).
% 2.63/0.68 fof(f62,plain,(
% 2.63/0.68 ![W0]: (~aInteger0(W0)|(![W1]: (aDivisorOf0(W1,W0)<=>((aInteger0(W1)&~W1=sz00)&(?[W2]: (aInteger0(W2)&sdtasdt0(W1,W2)=W0))))))),
% 2.63/0.68 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 2.63/0.68 fof(f63,plain,(
% 2.63/0.68 ![W0]: (~aInteger0(W0)|(![W1]: ((~aDivisorOf0(W1,W0)|((aInteger0(W1)&~W1=sz00)&(?[W2]: (aInteger0(W2)&sdtasdt0(W1,W2)=W0))))&(aDivisorOf0(W1,W0)|((~aInteger0(W1)|W1=sz00)|(![W2]: (~aInteger0(W2)|~sdtasdt0(W1,W2)=W0)))))))),
% 2.63/0.68 inference(NNF_transformation,[status(esa)],[f62])).
% 2.63/0.68 fof(f64,plain,(
% 2.63/0.68 ![W0]: (~aInteger0(W0)|((![W1]: (~aDivisorOf0(W1,W0)|((aInteger0(W1)&~W1=sz00)&(?[W2]: (aInteger0(W2)&sdtasdt0(W1,W2)=W0)))))&(![W1]: (aDivisorOf0(W1,W0)|((~aInteger0(W1)|W1=sz00)|(![W2]: (~aInteger0(W2)|~sdtasdt0(W1,W2)=W0)))))))),
% 2.63/0.68 inference(miniscoping,[status(esa)],[f63])).
% 2.63/0.68 fof(f65,plain,(
% 2.63/0.68 ![W0]: (~aInteger0(W0)|((![W1]: (~aDivisorOf0(W1,W0)|((aInteger0(W1)&~W1=sz00)&(aInteger0(sk0_0(W1,W0))&sdtasdt0(W1,sk0_0(W1,W0))=W0))))&(![W1]: (aDivisorOf0(W1,W0)|((~aInteger0(W1)|W1=sz00)|(![W2]: (~aInteger0(W2)|~sdtasdt0(W1,W2)=W0)))))))),
% 2.63/0.68 inference(skolemization,[status(esa)],[f64])).
% 2.63/0.68 fof(f70,plain,(
% 2.63/0.68 ![X0,X1,X2]: (~aInteger0(X0)|aDivisorOf0(X1,X0)|~aInteger0(X1)|X1=sz00|~aInteger0(X2)|~sdtasdt0(X1,X2)=X0)),
% 2.63/0.68 inference(cnf_transformation,[status(esa)],[f65])).
% 2.63/0.68 fof(f71,plain,(
% 2.63/0.68 ![W0,W1,W2]: ((((~aInteger0(W0)|~aInteger0(W1))|~aInteger0(W2))|W2=sz00)|(sdteqdtlpzmzozddtrp0(W0,W1,W2)<=>aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1)))))),
% 2.63/0.68 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 2.63/0.68 fof(f72,plain,(
% 2.63/0.68 ![W0,W1,W2]: ((((~aInteger0(W0)|~aInteger0(W1))|~aInteger0(W2))|W2=sz00)|((~sdteqdtlpzmzozddtrp0(W0,W1,W2)|aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))))&(sdteqdtlpzmzozddtrp0(W0,W1,W2)|~aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))))))),
% 2.63/0.68 inference(NNF_transformation,[status(esa)],[f71])).
% 2.63/0.68 fof(f74,plain,(
% 2.63/0.68 ![X0,X1,X2]: (~aInteger0(X0)|~aInteger0(X1)|~aInteger0(X2)|X2=sz00|sdteqdtlpzmzozddtrp0(X0,X1,X2)|~aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))))),
% 2.63/0.68 inference(cnf_transformation,[status(esa)],[f72])).
% 2.63/0.68 fof(f75,plain,(
% 2.63/0.68 aInteger0(xa)),
% 2.63/0.68 inference(cnf_transformation,[status(esa)],[f20])).
% 2.63/0.68 fof(f76,plain,(
% 2.63/0.68 aInteger0(xq)),
% 2.63/0.68 inference(cnf_transformation,[status(esa)],[f20])).
% 2.63/0.68 fof(f77,plain,(
% 2.63/0.68 ~xq=sz00),
% 2.63/0.68 inference(cnf_transformation,[status(esa)],[f20])).
% 2.63/0.68 fof(f78,plain,(
% 2.63/0.68 ~sdteqdtlpzmzozddtrp0(xa,xa,xq)),
% 2.63/0.68 inference(cnf_transformation,[status(esa)],[f22])).
% 2.63/0.68 fof(f80,plain,(
% 2.63/0.68 ![X0,X1]: (~aInteger0(sdtasdt0(X0,X1))|aDivisorOf0(X0,sdtasdt0(X0,X1))|~aInteger0(X0)|X0=sz00|~aInteger0(X1))),
% 2.63/0.68 inference(destructive_equality_resolution,[status(esa)],[f70])).
% 2.63/0.68 fof(f84,plain,(
% 2.63/0.68 spl0_1 <=> aInteger0(sz00)),
% 2.63/0.68 introduced(split_symbol_definition)).
% 2.63/0.68 fof(f86,plain,(
% 2.63/0.68 ~aInteger0(sz00)|spl0_1),
% 2.63/0.68 inference(component_clause,[status(thm)],[f84])).
% 2.63/0.68 fof(f92,plain,(
% 2.63/0.68 $false|spl0_1),
% 2.63/0.68 inference(forward_subsumption_resolution,[status(thm)],[f86,f26])).
% 2.63/0.68 fof(f93,plain,(
% 2.63/0.68 spl0_1),
% 2.63/0.68 inference(contradiction_clause,[status(thm)],[f92])).
% 2.63/0.68 fof(f102,plain,(
% 2.63/0.68 xq=sdtpldt0(sz00,xq)),
% 2.63/0.68 inference(resolution,[status(thm)],[f40,f76])).
% 2.63/0.68 fof(f112,plain,(
% 2.63/0.68 xq=sdtasdt0(sz10,xq)),
% 2.63/0.68 inference(resolution,[status(thm)],[f50,f76])).
% 2.63/0.68 fof(f117,plain,(
% 2.63/0.68 sdtasdt0(xq,sz00)=sz00),
% 2.63/0.68 inference(resolution,[status(thm)],[f55,f76])).
% 2.63/0.68 fof(f122,plain,(
% 2.63/0.68 sz00=sdtasdt0(sz00,xq)),
% 2.63/0.68 inference(resolution,[status(thm)],[f56,f76])).
% 2.63/0.68 fof(f127,plain,(
% 2.63/0.68 ![X0]: (~aInteger0(X0)|aInteger0(sdtpldt0(X0,xq)))),
% 2.63/0.68 inference(resolution,[status(thm)],[f31,f76])).
% 2.63/0.68 fof(f132,plain,(
% 2.63/0.68 ![X0]: (~aInteger0(X0)|aInteger0(sdtasdt0(X0,xq)))),
% 2.63/0.68 inference(resolution,[status(thm)],[f33,f76])).
% 2.63/0.69 fof(f133,plain,(
% 2.63/0.69 ![X0]: (~aInteger0(X0)|aInteger0(sdtasdt0(X0,xa)))),
% 2.63/0.69 inference(resolution,[status(thm)],[f33,f75])).
% 2.63/0.69 fof(f155,plain,(
% 2.63/0.69 aInteger0(sdtpldt0(xq,xq))),
% 2.63/0.69 inference(resolution,[status(thm)],[f127,f76])).
% 2.63/0.69 fof(f258,plain,(
% 2.63/0.69 aInteger0(sdtasdt0(xq,xq))),
% 2.63/0.69 inference(resolution,[status(thm)],[f132,f76])).
% 2.63/0.69 fof(f259,plain,(
% 2.63/0.69 aInteger0(sdtasdt0(xa,xq))),
% 2.63/0.69 inference(resolution,[status(thm)],[f132,f75])).
% 2.63/0.69 fof(f303,plain,(
% 2.63/0.69 aInteger0(sdtasdt0(xq,xa))),
% 2.63/0.69 inference(resolution,[status(thm)],[f133,f76])).
% 2.63/0.69 fof(f304,plain,(
% 2.63/0.69 aInteger0(sdtasdt0(xa,xa))),
% 2.63/0.69 inference(resolution,[status(thm)],[f133,f75])).
% 2.63/0.69 fof(f771,plain,(
% 2.63/0.69 spl0_7 <=> aInteger0(xa)),
% 2.63/0.69 introduced(split_symbol_definition)).
% 2.63/0.69 fof(f773,plain,(
% 2.63/0.69 ~aInteger0(xa)|spl0_7),
% 2.63/0.69 inference(component_clause,[status(thm)],[f771])).
% 2.63/0.69 fof(f776,plain,(
% 2.63/0.69 spl0_8 <=> aInteger0(xq)),
% 2.63/0.69 introduced(split_symbol_definition)).
% 2.63/0.69 fof(f778,plain,(
% 2.63/0.69 ~aInteger0(xq)|spl0_8),
% 2.63/0.69 inference(component_clause,[status(thm)],[f776])).
% 2.63/0.69 fof(f842,plain,(
% 2.63/0.69 spl0_12 <=> aInteger0(sdtpldt0(xq,xq))),
% 2.63/0.69 introduced(split_symbol_definition)).
% 2.63/0.69 fof(f844,plain,(
% 2.63/0.69 ~aInteger0(sdtpldt0(xq,xq))|spl0_12),
% 2.63/0.69 inference(component_clause,[status(thm)],[f842])).
% 2.63/0.69 fof(f900,plain,(
% 2.63/0.69 sdtpldt0(xa,smndt0(xa))=sz00),
% 2.63/0.69 inference(resolution,[status(thm)],[f42,f75])).
% 2.63/0.69 fof(f936,plain,(
% 2.63/0.69 $false|spl0_8),
% 2.63/0.69 inference(forward_subsumption_resolution,[status(thm)],[f778,f76])).
% 2.63/0.69 fof(f937,plain,(
% 2.63/0.69 spl0_8),
% 2.63/0.69 inference(contradiction_clause,[status(thm)],[f936])).
% 2.63/0.69 fof(f938,plain,(
% 2.63/0.69 spl0_22 <=> ~aInteger0(X0)|X0=sz00|sdteqdtlpzmzozddtrp0(xa,xa,X0)|~aDivisorOf0(X0,sz00)),
% 2.63/0.69 introduced(split_symbol_definition)).
% 2.63/0.69 fof(f939,plain,(
% 2.63/0.69 ![X0]: (~aInteger0(X0)|X0=sz00|sdteqdtlpzmzozddtrp0(xa,xa,X0)|~aDivisorOf0(X0,sz00)|~spl0_22)),
% 2.63/0.69 inference(component_clause,[status(thm)],[f938])).
% 2.63/0.69 fof(f941,plain,(
% 2.63/0.69 ![X0]: (~aInteger0(xa)|~aInteger0(xa)|~aInteger0(X0)|X0=sz00|sdteqdtlpzmzozddtrp0(xa,xa,X0)|~aDivisorOf0(X0,sz00))),
% 2.63/0.69 inference(paramodulation,[status(thm)],[f900,f74])).
% 2.63/0.69 fof(f942,plain,(
% 2.63/0.69 ~spl0_7|spl0_22),
% 2.63/0.69 inference(split_clause,[status(thm)],[f941,f771,f938])).
% 2.63/0.69 fof(f948,plain,(
% 2.63/0.69 $false|spl0_7),
% 2.63/0.69 inference(forward_subsumption_resolution,[status(thm)],[f773,f75])).
% 2.63/0.69 fof(f949,plain,(
% 2.63/0.69 spl0_7),
% 2.63/0.69 inference(contradiction_clause,[status(thm)],[f948])).
% 2.63/0.69 fof(f984,plain,(
% 2.63/0.69 sz00=sdtpldt0(smndt0(xq),xq)),
% 2.63/0.69 inference(resolution,[status(thm)],[f43,f76])).
% 2.63/0.69 fof(f986,plain,(
% 2.63/0.69 spl0_24 <=> aInteger0(smndt0(sz10))),
% 2.63/0.69 introduced(split_symbol_definition)).
% 2.63/0.69 fof(f988,plain,(
% 2.63/0.69 ~aInteger0(smndt0(sz10))|spl0_24),
% 2.63/0.69 inference(component_clause,[status(thm)],[f986])).
% 2.63/0.69 fof(f1849,plain,(
% 2.63/0.69 spl0_38 <=> aInteger0(sdtasdt0(xq,xq))),
% 2.63/0.69 introduced(split_symbol_definition)).
% 2.63/0.69 fof(f1851,plain,(
% 2.63/0.69 ~aInteger0(sdtasdt0(xq,xq))|spl0_38),
% 2.63/0.69 inference(component_clause,[status(thm)],[f1849])).
% 2.63/0.69 fof(f1938,plain,(
% 2.63/0.69 spl0_39 <=> aInteger0(sdtasdt0(xa,xq))),
% 2.63/0.69 introduced(split_symbol_definition)).
% 2.63/0.69 fof(f1940,plain,(
% 2.63/0.69 ~aInteger0(sdtasdt0(xa,xq))|spl0_39),
% 2.63/0.69 inference(component_clause,[status(thm)],[f1938])).
% 2.63/0.69 fof(f3784,plain,(
% 2.63/0.69 spl0_58 <=> aInteger0(sdtasdt0(xq,xa))),
% 2.63/0.69 introduced(split_symbol_definition)).
% 2.63/0.69 fof(f3786,plain,(
% 2.63/0.69 ~aInteger0(sdtasdt0(xq,xa))|spl0_58),
% 2.63/0.69 inference(component_clause,[status(thm)],[f3784])).
% 2.63/0.69 fof(f3960,plain,(
% 2.63/0.69 spl0_61 <=> aInteger0(sdtasdt0(xa,xa))),
% 2.63/0.69 introduced(split_symbol_definition)).
% 2.63/0.69 fof(f3962,plain,(
% 2.63/0.69 ~aInteger0(sdtasdt0(xa,xa))|spl0_61),
% 2.63/0.69 inference(component_clause,[status(thm)],[f3960])).
% 2.63/0.69 fof(f5118,plain,(
% 2.63/0.69 spl0_225 <=> smndt0(xq)=sz00),
% 2.63/0.69 introduced(split_symbol_definition)).
% 2.63/0.69 fof(f5119,plain,(
% 2.63/0.69 smndt0(xq)=sz00|~spl0_225),
% 2.63/0.69 inference(component_clause,[status(thm)],[f5118])).
% 2.63/0.69 fof(f5127,plain,(
% 2.63/0.69 spl0_227 <=> sz10=sz00),
% 2.63/0.69 introduced(split_symbol_definition)).
% 2.63/0.69 fof(f5128,plain,(
% 2.63/0.69 sz10=sz00|~spl0_227),
% 2.63/0.69 inference(component_clause,[status(thm)],[f5127])).
% 2.63/0.69 fof(f5140,plain,(
% 2.63/0.69 spl0_230 <=> xq=sz00),
% 2.63/0.69 introduced(split_symbol_definition)).
% 2.63/0.69 fof(f5141,plain,(
% 2.63/0.69 xq=sz00|~spl0_230),
% 2.63/0.69 inference(component_clause,[status(thm)],[f5140])).
% 2.63/0.69 fof(f5154,plain,(
% 2.63/0.69 ![X0,X1]: (aDivisorOf0(X0,sdtasdt0(X0,X1))|~aInteger0(X0)|X0=sz00|~aInteger0(X1))),
% 2.63/0.69 inference(forward_subsumption_resolution,[status(thm)],[f80,f33])).
% 2.63/0.69 fof(f5277,plain,(
% 2.63/0.69 spl0_257 <=> aDivisorOf0(xq,sz00)),
% 2.63/0.69 introduced(split_symbol_definition)).
% 2.63/0.69 fof(f5280,plain,(
% 2.63/0.69 aDivisorOf0(xq,sz00)|~aInteger0(xq)|xq=sz00|~aInteger0(sz00)),
% 2.63/0.69 inference(paramodulation,[status(thm)],[f117,f5154])).
% 2.63/0.69 fof(f5281,plain,(
% 2.63/0.69 spl0_257|~spl0_8|spl0_230|~spl0_1),
% 2.63/0.69 inference(split_clause,[status(thm)],[f5280,f5277,f776,f5140,f84])).
% 2.63/0.69 fof(f5363,plain,(
% 2.63/0.69 $false|~spl0_230),
% 2.63/0.69 inference(forward_subsumption_resolution,[status(thm)],[f5141,f77])).
% 2.63/0.69 fof(f5364,plain,(
% 2.63/0.69 ~spl0_230),
% 2.63/0.69 inference(contradiction_clause,[status(thm)],[f5363])).
% 2.63/0.69 fof(f5744,plain,(
% 2.63/0.69 sz00=sdtpldt0(sz00,xq)|~spl0_225),
% 2.63/0.69 inference(backward_demodulation,[status(thm)],[f5119,f984])).
% 2.63/0.69 fof(f5745,plain,(
% 2.63/0.69 sz00=xq|~spl0_225),
% 2.63/0.69 inference(forward_demodulation,[status(thm)],[f102,f5744])).
% 2.63/0.69 fof(f5746,plain,(
% 2.63/0.69 $false|~spl0_225),
% 2.63/0.69 inference(forward_subsumption_resolution,[status(thm)],[f5745,f77])).
% 2.63/0.69 fof(f5747,plain,(
% 2.63/0.69 ~spl0_225),
% 2.63/0.69 inference(contradiction_clause,[status(thm)],[f5746])).
% 2.63/0.69 fof(f5796,plain,(
% 2.63/0.69 spl0_276 <=> sdtasdt0(sz00,xq)=sz00),
% 2.63/0.69 introduced(split_symbol_definition)).
% 2.63/0.69 fof(f5798,plain,(
% 2.63/0.69 ~sdtasdt0(sz00,xq)=sz00|spl0_276),
% 2.63/0.69 inference(component_clause,[status(thm)],[f5796])).
% 2.63/0.69 fof(f5804,plain,(
% 2.63/0.69 ~sz00=sz00|spl0_276),
% 2.63/0.69 inference(forward_demodulation,[status(thm)],[f122,f5798])).
% 2.63/0.69 fof(f5805,plain,(
% 2.63/0.69 $false|spl0_276),
% 2.63/0.69 inference(trivial_equality_resolution,[status(esa)],[f5804])).
% 2.63/0.69 fof(f5806,plain,(
% 2.63/0.69 spl0_276),
% 2.63/0.69 inference(contradiction_clause,[status(thm)],[f5805])).
% 2.63/0.69 fof(f5807,plain,(
% 2.63/0.69 $false|spl0_38),
% 2.63/0.69 inference(forward_subsumption_resolution,[status(thm)],[f1851,f258])).
% 2.63/0.69 fof(f5808,plain,(
% 2.63/0.69 spl0_38),
% 2.63/0.69 inference(contradiction_clause,[status(thm)],[f5807])).
% 2.63/0.69 fof(f6029,plain,(
% 2.63/0.69 xq=sdtasdt0(sz00,xq)|~spl0_227),
% 2.63/0.69 inference(backward_demodulation,[status(thm)],[f5128,f112])).
% 2.63/0.69 fof(f6030,plain,(
% 2.63/0.69 xq=sz00|~spl0_227),
% 2.63/0.69 inference(forward_demodulation,[status(thm)],[f122,f6029])).
% 2.63/0.69 fof(f6031,plain,(
% 2.63/0.69 $false|~spl0_227),
% 2.63/0.69 inference(forward_subsumption_resolution,[status(thm)],[f6030,f77])).
% 2.63/0.69 fof(f6032,plain,(
% 2.63/0.69 ~spl0_227),
% 2.63/0.69 inference(contradiction_clause,[status(thm)],[f6031])).
% 2.63/0.69 fof(f6034,plain,(
% 2.63/0.69 ~aInteger0(sz10)|spl0_24),
% 2.63/0.69 inference(resolution,[status(thm)],[f988,f29])).
% 2.63/0.69 fof(f6674,plain,(
% 2.63/0.69 $false|spl0_24),
% 2.63/0.69 inference(forward_subsumption_resolution,[status(thm)],[f27,f6034])).
% 2.63/0.69 fof(f6675,plain,(
% 2.63/0.69 spl0_24),
% 2.63/0.69 inference(contradiction_clause,[status(thm)],[f6674])).
% 2.63/0.69 fof(f7176,plain,(
% 2.63/0.69 $false|spl0_58),
% 2.63/0.69 inference(forward_subsumption_resolution,[status(thm)],[f3786,f303])).
% 2.63/0.69 fof(f7177,plain,(
% 2.63/0.69 spl0_58),
% 2.63/0.69 inference(contradiction_clause,[status(thm)],[f7176])).
% 2.63/0.69 fof(f7471,plain,(
% 2.63/0.69 $false|spl0_12),
% 2.63/0.69 inference(forward_subsumption_resolution,[status(thm)],[f844,f155])).
% 2.63/0.69 fof(f7472,plain,(
% 2.63/0.69 spl0_12),
% 2.63/0.69 inference(contradiction_clause,[status(thm)],[f7471])).
% 2.63/0.69 fof(f7473,plain,(
% 2.63/0.69 $false|spl0_39),
% 2.63/0.69 inference(forward_subsumption_resolution,[status(thm)],[f1940,f259])).
% 2.63/0.69 fof(f7474,plain,(
% 2.63/0.69 spl0_39),
% 2.63/0.69 inference(contradiction_clause,[status(thm)],[f7473])).
% 2.63/0.69 fof(f7475,plain,(
% 2.63/0.69 $false|spl0_61),
% 2.63/0.69 inference(forward_subsumption_resolution,[status(thm)],[f3962,f304])).
% 2.63/0.69 fof(f7476,plain,(
% 2.63/0.69 spl0_61),
% 2.63/0.69 inference(contradiction_clause,[status(thm)],[f7475])).
% 2.63/0.69 fof(f7495,plain,(
% 2.63/0.69 ~aInteger0(xq)|xq=sz00|~aDivisorOf0(xq,sz00)|~spl0_22),
% 2.63/0.69 inference(resolution,[status(thm)],[f939,f78])).
% 2.63/0.69 fof(f7496,plain,(
% 2.63/0.69 ~spl0_8|spl0_230|~spl0_257|~spl0_22),
% 2.63/0.69 inference(split_clause,[status(thm)],[f7495,f776,f5140,f5277,f938])).
% 2.63/0.69 fof(f7497,plain,(
% 2.63/0.69 $false),
% 2.63/0.69 inference(sat_refutation,[status(thm)],[f93,f937,f942,f949,f5281,f5364,f5747,f5806,f5808,f6032,f6675,f7177,f7472,f7474,f7476,f7496])).
% 2.63/0.69 % SZS output end CNFRefutation for theBenchmark.p
% 2.63/0.71 % Elapsed time: 0.423406 seconds
% 2.63/0.71 % CPU time: 3.245665 seconds
% 2.63/0.71 % Total memory used: 113.380 MB
% 2.63/0.71 % Net memory used: 108.828 MB
%------------------------------------------------------------------------------