%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV864-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 0.17s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV864-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n016.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 09:34:07 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.46 % Refutation found
% 0.17/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.46 fof(f15,axiom,(
% 0.17/0.46 (![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) ) ))),
% 0.17/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f18,axiom,(
% 0.17/0.46 ( 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 ) ),
% 0.17/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f26,negated_conjecture,(
% 0.17/0.46 c_Hoare__Mirabelle_Ostate__not__singleton ),
% 0.17/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f27,negated_conjecture,(
% 0.17/0.46 ~ c_Natural_Oevalc(v_c,v_x,v_xa) ),
% 0.17/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f28,negated_conjecture,(
% 0.17/0.46 (![V_Z_H]: (( V_Z_H = v_xa| c_Natural_Oevalc(v_c,v_x,v_xb(V_Z_H)) ) ))),
% 0.17/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f29,negated_conjecture,(
% 0.17/0.46 (![V_Z_H]: (( V_Z_H != v_xb(V_Z_H)| V_Z_H = v_xa ) ))),
% 0.17/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f48,plain,(
% 0.17/0.46 ![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))),
% 0.17/0.46 inference(miniscoping,[status(thm)],[f15])).
% 0.17/0.46 fof(f49,plain,(
% 0.17/0.46 ![X0,X1,X2,X3]: (X0=X1|~c_Natural_Oevalc(X2,X3,X0)|~c_Natural_Oevalc(X2,X3,X1))),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f48])).
% 0.17/0.46 fof(f52,plain,(
% 0.17/0.46 ~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),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f18])).
% 0.17/0.46 fof(f65,plain,(
% 0.17/0.46 c_Hoare__Mirabelle_Ostate__not__singleton),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f26])).
% 0.17/0.46 fof(f66,plain,(
% 0.17/0.46 ~c_Natural_Oevalc(v_c,v_x,v_xa)),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f27])).
% 0.17/0.46 fof(f67,plain,(
% 0.17/0.46 ![X0]: (X0=v_xa|c_Natural_Oevalc(v_c,v_x,v_xb(X0)))),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f28])).
% 0.17/0.46 fof(f68,plain,(
% 0.17/0.46 ![X0]: (~X0=v_xb(X0)|X0=v_xa)),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f29])).
% 0.17/0.46 fof(f69,definition,(
% 0.17/0.46 sQ0_spl <=> (v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1=v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2)),
% 0.17/0.46 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.17/0.46 fof(f71,plain,(
% 0.17/0.46 ~v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1=v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2|sQ0_spl),
% 0.17/0.46 inference(component_clause,[status(thm)],[f69])).
% 0.17/0.46 fof(f72,definition,(
% 0.17/0.46 sQ1_spl <=> (c_Hoare__Mirabelle_Ostate__not__singleton)),
% 0.17/0.46 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.17/0.46 fof(f74,plain,(
% 0.17/0.46 ~c_Hoare__Mirabelle_Ostate__not__singleton|sQ1_spl),
% 0.17/0.46 inference(component_clause,[status(thm)],[f72])).
% 0.17/0.46 fof(f75,plain,(
% 0.17/0.46 ~sQ0_spl|~sQ1_spl),
% 0.17/0.46 inference(split_clause,[status(thm)],[f52,f69,f72])).
% 0.17/0.46 fof(f88,plain,(
% 0.17/0.46 $false|sQ1_spl),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f74,f65])).
% 0.17/0.46 fof(f89,plain,(
% 0.17/0.46 sQ1_spl),
% 0.17/0.46 inference(contradiction_clause,[status(thm)],[f88])).
% 0.17/0.46 fof(f90,plain,(
% 0.17/0.46 ![X0,X1]: (X0=v_xa|X1=v_xb(X0)|~c_Natural_Oevalc(v_c,v_x,X1))),
% 0.17/0.46 inference(resolution,[status(thm)],[f67,f49])).
% 0.17/0.46 fof(f91,plain,(
% 0.17/0.46 ![X0,X1]: (X0=v_xa|v_xb(X1)=v_xb(X0)|X1=v_xa)),
% 0.17/0.46 inference(resolution,[status(thm)],[f90,f67])).
% 0.17/0.46 fof(f98,plain,(
% 0.17/0.46 ![X0,X1]: (X0=v_xa|c_Natural_Oevalc(v_c,v_x,v_xb(X1))|X1=v_xa|X0=v_xa)),
% 0.17/0.46 inference(paramodulation,[status(thm)],[f91,f67])).
% 0.17/0.46 fof(f99,plain,(
% 0.17/0.46 ![X0,X1]: (~X0=v_xb(X1)|X0=v_xa|X1=v_xa|X0=v_xa)),
% 0.17/0.46 inference(paramodulation,[status(thm)],[f91,f68])).
% 0.17/0.46 fof(f107,definition,(
% 0.17/0.46 ![X2]: (sQ6_spl <=> (X2=v_xa|X2=v_xa))),
% 0.17/0.46 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.17/0.46 fof(f108,plain,(
% 0.17/0.46 ![X0]: (X0=v_xa|X0=v_xa|~sQ6_spl)),
% 0.17/0.46 inference(component_clause,[status(thm)],[f107])).
% 0.17/0.46 fof(f114,definition,(
% 0.17/0.46 ![X1]: (sQ7_spl <=> (c_Natural_Oevalc(v_c,v_x,v_xb(X1))|X1=v_xa))),
% 0.17/0.46 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.17/0.46 fof(f115,plain,(
% 0.17/0.46 ![X0]: (c_Natural_Oevalc(v_c,v_x,v_xb(X0))|X0=v_xa|~sQ7_spl)),
% 0.17/0.46 inference(component_clause,[status(thm)],[f114])).
% 0.17/0.46 fof(f117,plain,(
% 0.17/0.46 sQ6_spl|sQ7_spl),
% 0.17/0.46 inference(split_clause,[status(thm)],[f98,f107,f114])).
% 0.17/0.46 fof(f118,plain,(
% 0.17/0.46 ![X0,X1]: (~X0=v_xb(X1)|X0=v_xa|X1=v_xa)),
% 0.17/0.46 inference(duplicate_literals_removal,[status(thm)],[f99])).
% 0.17/0.46 fof(f119,plain,(
% 0.17/0.46 ![X0]: (v_xb(X0)=v_xa|X0=v_xa)),
% 0.17/0.46 inference(destructive_equality_resolution,[status(thm)],[f118])).
% 0.17/0.46 fof(f123,plain,(
% 0.17/0.46 ![X0]: (X0=v_xa|~sQ6_spl)),
% 0.17/0.46 inference(duplicate_literals_removal,[status(thm)],[f108])).
% 0.17/0.46 fof(f124,plain,(
% 0.17/0.46 ![X0,X1]: (X0=X1|~sQ6_spl)),
% 0.17/0.46 inference(paramodulation,[status(thm)],[f123,f123])).
% 0.17/0.46 fof(f132,plain,(
% 0.17/0.46 $false|~sQ6_spl|sQ0_spl),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f71,f124])).
% 0.17/0.46 fof(f133,plain,(
% 0.17/0.46 ~sQ6_spl|sQ0_spl),
% 0.17/0.46 inference(contradiction_clause,[status(thm)],[f132])).
% 0.17/0.46 fof(f173,plain,(
% 0.17/0.46 ![X0]: (c_Natural_Oevalc(v_c,v_x,v_xa)|X0=v_xa|X0=v_xa|~sQ7_spl)),
% 0.17/0.46 inference(paramodulation,[status(thm)],[f119,f115])).
% 0.17/0.46 fof(f176,definition,(
% 0.17/0.46 sQ10_spl <=> (c_Natural_Oevalc(v_c,v_x,v_xa))),
% 0.17/0.46 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.17/0.46 fof(f177,plain,(
% 0.17/0.46 c_Natural_Oevalc(v_c,v_x,v_xa)|~sQ10_spl),
% 0.17/0.46 inference(component_clause,[status(thm)],[f176])).
% 0.17/0.46 fof(f179,plain,(
% 0.17/0.46 sQ10_spl|sQ6_spl|~sQ7_spl),
% 0.17/0.46 inference(split_clause,[status(thm)],[f173,f176,f107,f114])).
% 0.17/0.46 fof(f180,plain,(
% 0.17/0.46 $false|~sQ10_spl),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f177,f66])).
% 0.17/0.46 fof(f181,plain,(
% 0.17/0.46 ~sQ10_spl),
% 0.17/0.46 inference(contradiction_clause,[status(thm)],[f180])).
% 0.17/0.46 fof(f182,plain,(
% 0.17/0.46 $false),
% 0.17/0.46 inference(sat_refutation,[status(thm)],[f75,f89,f117,f133,f179,f181])).
% 0.17/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.50 % Elapsed time: 0.066859 seconds
% 0.17/0.50 % CPU time: 0.098374 seconds
% 0.17/0.50 % Total memory used: 3.234 MB
% 0.17/0.50 % Net memory used: 3.231 MB
%------------------------------------------------------------------------------