TSTP Solution File: ALG428-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG428-1 : TPTP v8.1.2. Released v4.1.0.
% 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 20:11:34 EDT 2024
% Result : Unsatisfiable 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG428-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:21:47 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.41 % Drodi V3.6.0
% 0.20/0.52 % Refutation found
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.52 fof(f78,axiom,(
% 0.20/0.52 (![V_n]: (( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ))),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f350,axiom,(
% 0.20/0.52 (![V_n]: (( V_n = c_HOL_Ozero__class_Ozero(tc_nat)| ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ))),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f759,axiom,(
% 0.20/0.52 (![V_n,V_m]: (( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)| c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ))),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f773,axiom,(
% 0.20/0.52 (![V_n]: (( c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_Suc(V_n)| v_thesis____ ) ))),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f787,axiom,(
% 0.20/0.52 c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f792,negated_conjecture,(
% 0.20/0.52 ~ v_thesis____ ),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f1019,plain,(
% 0.20/0.52 ![X0]: (c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))=X0|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f78])).
% 0.20/0.52 fof(f1467,plain,(
% 0.20/0.52 ![X0]: (X0=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f350])).
% 0.20/0.52 fof(f2116,plain,(
% 0.20/0.52 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)|c_HOL_Oord__class_Oless(X1,X0,tc_nat))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f759])).
% 0.20/0.52 fof(f2133,plain,(
% 0.20/0.52 (![V_n]: ~c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_Suc(V_n))|v_thesis____),
% 0.20/0.52 inference(miniscoping,[status(esa)],[f773])).
% 0.20/0.52 fof(f2134,plain,(
% 0.20/0.52 ![X0]: (~c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_Suc(X0)|v_thesis____)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f2133])).
% 0.20/0.52 fof(f2150,plain,(
% 0.20/0.52 ~c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f787])).
% 0.20/0.52 fof(f2155,plain,(
% 0.20/0.52 ~v_thesis____),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f792])).
% 0.20/0.52 fof(f2256,plain,(
% 0.20/0.52 spl0_0 <=> ~c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_Suc(X0)),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f2257,plain,(
% 0.20/0.52 ![X0]: (~c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_Suc(X0)|~spl0_0)),
% 0.20/0.52 inference(component_clause,[status(thm)],[f2256])).
% 0.20/0.52 fof(f2259,plain,(
% 0.20/0.52 spl0_1 <=> v_thesis____),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f2260,plain,(
% 0.20/0.52 v_thesis____|~spl0_1),
% 0.20/0.52 inference(component_clause,[status(thm)],[f2259])).
% 0.20/0.52 fof(f2262,plain,(
% 0.20/0.52 spl0_0|spl0_1),
% 0.20/0.52 inference(split_clause,[status(thm)],[f2134,f2256,f2259])).
% 0.20/0.52 fof(f2268,plain,(
% 0.20/0.52 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_nat)|~spl0_0),
% 0.20/0.52 inference(resolution,[status(thm)],[f2257,f1019])).
% 0.20/0.52 fof(f2700,plain,(
% 0.20/0.52 ![X0]: (X0=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat))),
% 0.20/0.52 inference(resolution,[status(thm)],[f1467,f2116])).
% 0.20/0.52 fof(f3422,plain,(
% 0.20/0.52 c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_0),
% 0.20/0.52 inference(resolution,[status(thm)],[f2700,f2268])).
% 0.20/0.52 fof(f3423,plain,(
% 0.20/0.52 $false|~spl0_0),
% 0.20/0.52 inference(forward_subsumption_resolution,[status(thm)],[f3422,f2150])).
% 0.20/0.52 fof(f3424,plain,(
% 0.20/0.52 ~spl0_0),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f3423])).
% 0.20/0.52 fof(f3442,plain,(
% 0.20/0.52 $false|~spl0_1),
% 0.20/0.52 inference(forward_subsumption_resolution,[status(thm)],[f2260,f2155])).
% 0.20/0.52 fof(f3443,plain,(
% 0.20/0.52 ~spl0_1),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f3442])).
% 0.20/0.52 fof(f3444,plain,(
% 0.20/0.52 $false),
% 0.20/0.52 inference(sat_refutation,[status(thm)],[f2262,f3424,f3443])).
% 0.20/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.53 % Elapsed time: 0.171459 seconds
% 0.20/0.53 % CPU time: 0.831178 seconds
% 0.20/0.53 % Total memory used: 107.171 MB
% 0.20/0.53 % Net memory used: 106.873 MB
%------------------------------------------------------------------------------