%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV865-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:53:16 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV865-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n014.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Mon Sep 21 09:29:04 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.09/0.62 % Drodi V4.1.1
% 0.09/0.63 % Refutation found
% 0.09/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.63 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.63 fof(f15,axiom,(
% 0.09/0.63 (![V_u,V_t,V_c,V_s]: (( V_u = V_t| ~ c_Natural_Oevalc(V_c,V_s,V_u)| ~ c_Natural_Oevalc(V_c,V_s,V_t) ) ))),
% 0.09/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.63 fof(f17,axiom,(
% 0.09/0.63 ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2| ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ),
% 0.09/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.63 fof(f26,negated_conjecture,(
% 0.09/0.63 c_Hoare__Mirabelle_Ostate__not__singleton ),
% 0.09/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.63 fof(f27,negated_conjecture,(
% 0.09/0.63 ~ c_Natural_Oevalc(v_c,v_Z,v_s_H) ),
% 0.09/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.63 fof(f29,negated_conjecture,(
% 0.09/0.63 (![V_Z_Ha]: (( V_Z_Ha = v_s_H| c_Natural_Oevalc(v_c,v_Z,v_Z_H(V_Z_Ha)) ) ))),
% 0.09/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.63 fof(f30,negated_conjecture,(
% 0.09/0.63 (![V_Z_Ha]: (( V_Z_Ha != v_Z_H(V_Z_Ha)| V_Z_Ha = v_s_H ) ))),
% 0.09/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.63 fof(f49,plain,(
% 0.09/0.63 ![V_t,V_c,V_s]: ((![V_u]: (V_u=V_t|~c_Natural_Oevalc(V_c,V_s,V_u)))|~c_Natural_Oevalc(V_c,V_s,V_t))),
% 0.09/0.63 inference(miniscoping,[status(thm)],[f15])).
% 0.09/0.63 fof(f50,plain,(
% 0.09/0.63 ![X0,X1,X2,X3]: (X0=X1|~c_Natural_Oevalc(X2,X3,X0)|~c_Natural_Oevalc(X2,X3,X1))),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f49])).
% 0.09/0.63 fof(f52,plain,(
% 0.09/0.63 ~v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1=v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2|~c_Hoare__Mirabelle_Ostate__not__singleton),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.63 fof(f66,plain,(
% 0.09/0.63 c_Hoare__Mirabelle_Ostate__not__singleton),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f26])).
% 0.09/0.63 fof(f67,plain,(
% 0.09/0.63 ~c_Natural_Oevalc(v_c,v_Z,v_s_H)),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f27])).
% 0.09/0.63 fof(f69,plain,(
% 0.09/0.63 ![X0]: (X0=v_s_H|c_Natural_Oevalc(v_c,v_Z,v_Z_H(X0)))),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f29])).
% 0.09/0.63 fof(f70,plain,(
% 0.09/0.63 ![X0]: (~X0=v_Z_H(X0)|X0=v_s_H)),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f30])).
% 0.09/0.63 fof(f71,definition,(
% 0.09/0.63 sQ0_spl <=> (v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1=v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f73,plain,(
% 0.09/0.63 ~v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1=v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2|sQ0_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f71])).
% 0.09/0.63 fof(f74,definition,(
% 0.09/0.63 sQ1_spl <=> (c_Hoare__Mirabelle_Ostate__not__singleton)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f76,plain,(
% 0.09/0.63 ~c_Hoare__Mirabelle_Ostate__not__singleton|sQ1_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f74])).
% 0.09/0.63 fof(f77,plain,(
% 0.09/0.63 ~sQ0_spl|~sQ1_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f52,f71,f74])).
% 0.09/0.63 fof(f91,plain,(
% 0.09/0.63 ![X0,X1]: (X0=v_Z_H(X1)|~c_Natural_Oevalc(v_c,v_Z,X0)|X1=v_s_H)),
% 0.09/0.63 inference(resolution,[status(thm)],[f50,f69])).
% 0.09/0.63 fof(f92,plain,(
% 0.09/0.63 $false|sQ1_spl),
% 0.09/0.63 inference(forward_subsumption_resolution,[status(thm)],[f76,f66])).
% 0.09/0.63 fof(f93,plain,(
% 0.09/0.63 sQ1_spl),
% 0.09/0.63 inference(contradiction_clause,[status(thm)],[f92])).
% 0.09/0.63 fof(f96,plain,(
% 0.09/0.63 ![X0,X1]: (v_Z_H(X0)=v_Z_H(X1)|X1=v_s_H|X0=v_s_H)),
% 0.09/0.63 inference(resolution,[status(thm)],[f91,f69])).
% 0.09/0.63 fof(f97,plain,(
% 0.09/0.63 ![X0]: (v_Z_H(X0)=v_s_H|X0=v_s_H|v_Z_H(X0)=v_s_H)),
% 0.09/0.63 inference(resolution,[status(thm)],[f96,f70])).
% 0.09/0.63 fof(f103,plain,(
% 0.09/0.63 ![X0,X1]: (X0=v_s_H|c_Natural_Oevalc(v_c,v_Z,v_Z_H(X1))|X1=v_s_H|X0=v_s_H)),
% 0.09/0.63 inference(paramodulation,[status(thm)],[f96,f69])).
% 0.09/0.63 fof(f107,plain,(
% 0.09/0.63 ![X0]: (v_Z_H(X0)=v_s_H|X0=v_s_H)),
% 0.09/0.63 inference(duplicate_literals_removal,[status(thm)],[f97])).
% 0.09/0.63 fof(f112,definition,(
% 0.09/0.63 ![X2]: (sQ6_spl <=> (X2=v_s_H|X2=v_s_H))),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f113,plain,(
% 0.09/0.63 ![X0]: (X0=v_s_H|X0=v_s_H|~sQ6_spl)),
% 0.09/0.63 inference(component_clause,[status(thm)],[f112])).
% 0.09/0.64 fof(f119,definition,(
% 0.09/0.64 ![X1]: (sQ7_spl <=> (c_Natural_Oevalc(v_c,v_Z,v_Z_H(X1))|X1=v_s_H))),
% 0.09/0.64 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.64 fof(f120,plain,(
% 0.09/0.64 ![X0]: (c_Natural_Oevalc(v_c,v_Z,v_Z_H(X0))|X0=v_s_H|~sQ7_spl)),
% 0.09/0.64 inference(component_clause,[status(thm)],[f119])).
% 0.09/0.64 fof(f122,plain,(
% 0.09/0.64 sQ6_spl|sQ7_spl),
% 0.09/0.64 inference(split_clause,[status(thm)],[f103,f112,f119])).
% 0.09/0.64 fof(f128,plain,(
% 0.09/0.64 ![X0]: (X0=v_s_H|~sQ6_spl)),
% 0.09/0.64 inference(duplicate_literals_removal,[status(thm)],[f113])).
% 0.09/0.64 fof(f129,plain,(
% 0.09/0.64 ![X0,X1]: (X0=X1|~sQ6_spl)),
% 0.09/0.64 inference(paramodulation,[status(thm)],[f128,f128])).
% 0.09/0.64 fof(f139,plain,(
% 0.09/0.64 $false|~sQ6_spl|sQ0_spl),
% 0.09/0.64 inference(forward_subsumption_resolution,[status(thm)],[f73,f129])).
% 0.09/0.64 fof(f140,plain,(
% 0.09/0.64 ~sQ6_spl|sQ0_spl),
% 0.09/0.64 inference(contradiction_clause,[status(thm)],[f139])).
% 0.09/0.64 fof(f180,plain,(
% 0.09/0.64 ![X0]: (c_Natural_Oevalc(v_c,v_Z,v_s_H)|X0=v_s_H|X0=v_s_H|~sQ7_spl)),
% 0.09/0.64 inference(paramodulation,[status(thm)],[f107,f120])).
% 0.09/0.64 fof(f183,definition,(
% 0.09/0.64 sQ10_spl <=> (c_Natural_Oevalc(v_c,v_Z,v_s_H))),
% 0.09/0.64 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.64 fof(f184,plain,(
% 0.09/0.64 c_Natural_Oevalc(v_c,v_Z,v_s_H)|~sQ10_spl),
% 0.09/0.64 inference(component_clause,[status(thm)],[f183])).
% 0.09/0.64 fof(f186,plain,(
% 0.09/0.64 sQ10_spl|sQ6_spl|~sQ7_spl),
% 0.09/0.64 inference(split_clause,[status(thm)],[f180,f183,f112,f119])).
% 0.09/0.64 fof(f187,plain,(
% 0.09/0.64 $false|~sQ10_spl),
% 0.09/0.64 inference(forward_subsumption_resolution,[status(thm)],[f184,f67])).
% 0.09/0.64 fof(f188,plain,(
% 0.09/0.64 ~sQ10_spl),
% 0.09/0.64 inference(contradiction_clause,[status(thm)],[f187])).
% 0.09/0.64 fof(f189,plain,(
% 0.09/0.64 $false),
% 0.09/0.64 inference(sat_refutation,[status(thm)],[f77,f93,f122,f140,f186,f188])).
% 0.09/0.64 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.70 % Elapsed time: 0.104375 seconds
% 0.14/0.70 % CPU time: 0.118592 seconds
% 0.14/0.70 % Total memory used: 12.944 MB
% 0.14/0.70 % Net memory used: 12.916 MB
%------------------------------------------------------------------------------