TSTP Solution File: NUM436+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM436+3 : 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 : Wed May 31 12:29:08 EDT 2023
% Result : Theorem 0.10s 0.34s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : NUM436+3 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n020.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 09:49:58 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 0.10/0.34 % Refutation found
% 0.10/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.34 fof(f6,axiom,(
% 0.10/0.34 (! [W0,W1] :( ( aInteger0(W0)& aInteger0(W1) )=> aInteger0(sdtasdt0(W0,W1)) ) )),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f23,hypothesis,(
% 0.10/0.34 ( aInteger0(xa)& aInteger0(xb)& aInteger0(xp)& xp != sz00& aInteger0(xq)& xq != sz00 ) ),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f25,hypothesis,(
% 0.10/0.34 ( aInteger0(xm)& sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb)) ) ),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f26,hypothesis,(
% 0.10/0.34 ( sdtasdt0(xp,sdtasdt0(xq,xm)) = sdtpldt0(xa,smndt0(xb))& sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm)) ) ),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f27,conjecture,(
% 0.10/0.34 ( ( (? [W0] :( aInteger0(W0)& sdtasdt0(xp,W0) = sdtpldt0(xa,smndt0(xb)) ))| aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb)))| sdteqdtlpzmzozddtrp0(xa,xb,xp) )& ( (? [W0] :( aInteger0(W0)& sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) ))| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))| sdteqdtlpzmzozddtrp0(xa,xb,xq) ) ) ),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f28,negated_conjecture,(
% 0.10/0.34 ~(( ( (? [W0] :( aInteger0(W0)& sdtasdt0(xp,W0) = sdtpldt0(xa,smndt0(xb)) ))| aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb)))| sdteqdtlpzmzozddtrp0(xa,xb,xp) )& ( (? [W0] :( aInteger0(W0)& sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) ))| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))| sdteqdtlpzmzozddtrp0(xa,xb,xq) ) ) )),
% 0.10/0.34 inference(negated_conjecture,[status(cth)],[f27])).
% 0.10/0.34 fof(f38,plain,(
% 0.10/0.34 ![W0,W1]: ((~aInteger0(W0)|~aInteger0(W1))|aInteger0(sdtasdt0(W0,W1)))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.10/0.34 fof(f39,plain,(
% 0.10/0.34 ![X0,X1]: (~aInteger0(X0)|~aInteger0(X1)|aInteger0(sdtasdt0(X0,X1)))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f38])).
% 0.10/0.34 fof(f89,plain,(
% 0.10/0.34 aInteger0(xp)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f23])).
% 0.10/0.34 fof(f91,plain,(
% 0.10/0.34 aInteger0(xq)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f23])).
% 0.10/0.34 fof(f99,plain,(
% 0.10/0.34 aInteger0(xm)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f25])).
% 0.10/0.34 fof(f101,plain,(
% 0.10/0.34 sdtasdt0(xp,sdtasdt0(xq,xm))=sdtpldt0(xa,smndt0(xb))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f26])).
% 0.10/0.34 fof(f102,plain,(
% 0.10/0.34 sdtpldt0(xa,smndt0(xb))=sdtasdt0(xq,sdtasdt0(xp,xm))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f26])).
% 0.10/0.34 fof(f103,plain,(
% 0.10/0.34 ((((![W0]: (~aInteger0(W0)|~sdtasdt0(xp,W0)=sdtpldt0(xa,smndt0(xb))))&~aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb))))&~sdteqdtlpzmzozddtrp0(xa,xb,xp))|(((![W0]: (~aInteger0(W0)|~sdtasdt0(xq,W0)=sdtpldt0(xa,smndt0(xb))))&~aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))))&~sdteqdtlpzmzozddtrp0(xa,xb,xq)))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.10/0.34 fof(f104,plain,(
% 0.10/0.34 pd0_0=>(((![W0]: (~aInteger0(W0)|~sdtasdt0(xp,W0)=sdtpldt0(xa,smndt0(xb))))&~aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb))))&~sdteqdtlpzmzozddtrp0(xa,xb,xp))),
% 0.10/0.34 introduced(predicate_definition,[f103])).
% 0.10/0.34 fof(f105,plain,(
% 0.10/0.34 pd0_0|(((![W0]: (~aInteger0(W0)|~sdtasdt0(xq,W0)=sdtpldt0(xa,smndt0(xb))))&~aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))))&~sdteqdtlpzmzozddtrp0(xa,xb,xq))),
% 0.10/0.34 inference(formula_renaming,[status(thm)],[f103,f104])).
% 0.10/0.34 fof(f106,plain,(
% 0.10/0.34 ![X0]: (pd0_0|~aInteger0(X0)|~sdtasdt0(xq,X0)=sdtpldt0(xa,smndt0(xb)))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f105])).
% 0.10/0.34 fof(f109,plain,(
% 0.10/0.34 ~pd0_0|(((![W0]: (~aInteger0(W0)|~sdtasdt0(xp,W0)=sdtpldt0(xa,smndt0(xb))))&~aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb))))&~sdteqdtlpzmzozddtrp0(xa,xb,xp))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f104])).
% 0.10/0.34 fof(f110,plain,(
% 0.10/0.34 ![X0]: (~pd0_0|~aInteger0(X0)|~sdtasdt0(xp,X0)=sdtpldt0(xa,smndt0(xb)))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f109])).
% 0.10/0.34 fof(f113,plain,(
% 0.10/0.34 spl0_0 <=> pd0_0),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f116,plain,(
% 0.10/0.34 spl0_1 <=> ~aInteger0(X0)|~sdtasdt0(xq,X0)=sdtpldt0(xa,smndt0(xb))),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f117,plain,(
% 0.10/0.34 ![X0]: (~aInteger0(X0)|~sdtasdt0(xq,X0)=sdtpldt0(xa,smndt0(xb))|~spl0_1)),
% 0.10/0.34 inference(component_clause,[status(thm)],[f116])).
% 0.16/0.58 fof(f119,plain,(
% 0.16/0.58 spl0_0|spl0_1),
% 0.16/0.58 inference(split_clause,[status(thm)],[f106,f113,f116])).
% 0.16/0.58 fof(f128,plain,(
% 0.16/0.58 spl0_4 <=> ~aInteger0(X0)|~sdtasdt0(xp,X0)=sdtpldt0(xa,smndt0(xb))),
% 0.16/0.58 introduced(split_symbol_definition)).
% 0.16/0.58 fof(f129,plain,(
% 0.16/0.58 ![X0]: (~aInteger0(X0)|~sdtasdt0(xp,X0)=sdtpldt0(xa,smndt0(xb))|~spl0_4)),
% 0.16/0.58 inference(component_clause,[status(thm)],[f128])).
% 0.16/0.58 fof(f131,plain,(
% 0.16/0.58 ~spl0_0|spl0_4),
% 0.16/0.58 inference(split_clause,[status(thm)],[f110,f113,f128])).
% 0.16/0.58 fof(f218,plain,(
% 0.16/0.58 spl0_21 <=> aInteger0(xq)),
% 0.16/0.58 introduced(split_symbol_definition)).
% 0.16/0.58 fof(f220,plain,(
% 0.16/0.58 ~aInteger0(xq)|spl0_21),
% 0.16/0.58 inference(component_clause,[status(thm)],[f218])).
% 0.16/0.58 fof(f226,plain,(
% 0.16/0.58 spl0_23 <=> aInteger0(xp)),
% 0.16/0.58 introduced(split_symbol_definition)).
% 0.16/0.58 fof(f228,plain,(
% 0.16/0.58 ~aInteger0(xp)|spl0_23),
% 0.16/0.58 inference(component_clause,[status(thm)],[f226])).
% 0.16/0.58 fof(f241,plain,(
% 0.16/0.58 $false|spl0_23),
% 0.16/0.58 inference(forward_subsumption_resolution,[status(thm)],[f228,f89])).
% 0.16/0.58 fof(f242,plain,(
% 0.16/0.58 spl0_23),
% 0.16/0.58 inference(contradiction_clause,[status(thm)],[f241])).
% 0.16/0.58 fof(f243,plain,(
% 0.16/0.58 $false|spl0_21),
% 0.16/0.58 inference(forward_subsumption_resolution,[status(thm)],[f220,f91])).
% 0.16/0.58 fof(f244,plain,(
% 0.16/0.58 spl0_21),
% 0.16/0.58 inference(contradiction_clause,[status(thm)],[f243])).
% 0.16/0.58 fof(f378,plain,(
% 0.16/0.58 spl0_48 <=> aInteger0(xm)),
% 0.16/0.58 introduced(split_symbol_definition)).
% 0.16/0.58 fof(f380,plain,(
% 0.16/0.58 ~aInteger0(xm)|spl0_48),
% 0.16/0.58 inference(component_clause,[status(thm)],[f378])).
% 0.16/0.58 fof(f427,plain,(
% 0.16/0.58 $false|spl0_48),
% 0.16/0.58 inference(forward_subsumption_resolution,[status(thm)],[f380,f99])).
% 0.16/0.58 fof(f428,plain,(
% 0.16/0.58 spl0_48),
% 0.16/0.58 inference(contradiction_clause,[status(thm)],[f427])).
% 0.16/0.58 fof(f429,plain,(
% 0.16/0.58 ~aInteger0(sdtasdt0(xq,xm))|~spl0_4),
% 0.16/0.58 inference(resolution,[status(thm)],[f101,f129])).
% 0.16/0.58 fof(f509,plain,(
% 0.16/0.58 ~aInteger0(xq)|~aInteger0(xm)|~spl0_4),
% 0.16/0.58 inference(resolution,[status(thm)],[f429,f39])).
% 0.16/0.58 fof(f510,plain,(
% 0.16/0.58 ~spl0_21|~spl0_48|~spl0_4),
% 0.16/0.58 inference(split_clause,[status(thm)],[f509,f218,f378,f128])).
% 0.16/0.58 fof(f513,plain,(
% 0.16/0.58 ~aInteger0(sdtasdt0(xp,xm))|~spl0_1),
% 0.16/0.58 inference(resolution,[status(thm)],[f117,f102])).
% 0.16/0.58 fof(f518,plain,(
% 0.16/0.58 ~aInteger0(xp)|~aInteger0(xm)|~spl0_1),
% 0.16/0.58 inference(resolution,[status(thm)],[f513,f39])).
% 0.16/0.58 fof(f519,plain,(
% 0.16/0.58 ~spl0_23|~spl0_48|~spl0_1),
% 0.16/0.58 inference(split_clause,[status(thm)],[f518,f226,f378,f116])).
% 0.16/0.58 fof(f520,plain,(
% 0.16/0.58 $false),
% 0.16/0.58 inference(sat_refutation,[status(thm)],[f119,f131,f242,f244,f428,f510,f519])).
% 0.16/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.58 % Elapsed time: 0.041807 seconds
% 0.16/0.58 % CPU time: 0.021702 seconds
% 0.16/0.58 % Memory used: 3.971 MB
%------------------------------------------------------------------------------