%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HWV010-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 12:46:40 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : HWV010-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 % Computer : n002.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 20 20:50:18 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.52 % Drodi V4.1.1
% 0.20/0.53 % Refutation found
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.53 fof(f21,axiom,(
% 0.20/0.53 (![X_t_32]: (level(X_t_32) = int_level(X_t_32) ))),
% 0.20/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f24,axiom,(
% 0.20/0.53 (![X_t_35]: (( int_level(X_t_35) != n0| p_Empty(X_t_35) ) ))),
% 0.20/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f25,axiom,(
% 0.20/0.53 (![X_t_36]: (( int_level(X_t_36) = n0| ~ p_Empty(X_t_36) ) ))),
% 0.20/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f91,negated_conjecture,(
% 0.20/0.53 ( ~ p_Empty(t_139)| level(t_139) != n0 ) ),
% 0.20/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f92,negated_conjecture,(
% 0.20/0.53 ( p_Empty(t_139)| level(t_139) = n0 ) ),
% 0.20/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f116,plain,(
% 0.20/0.53 ![X0]: (level(X0)=int_level(X0))),
% 0.20/0.53 inference(cnf_transformation,[status(thm)],[f21])).
% 0.20/0.53 fof(f119,plain,(
% 0.20/0.53 ![X0]: (~int_level(X0)=n0|p_Empty(X0))),
% 0.20/0.53 inference(cnf_transformation,[status(thm)],[f24])).
% 0.20/0.53 fof(f120,plain,(
% 0.20/0.53 ![X0]: (int_level(X0)=n0|~p_Empty(X0))),
% 0.20/0.53 inference(cnf_transformation,[status(thm)],[f25])).
% 0.20/0.53 fof(f188,plain,(
% 0.20/0.53 ~p_Empty(t_139)|~level(t_139)=n0),
% 0.20/0.53 inference(cnf_transformation,[status(thm)],[f91])).
% 0.20/0.53 fof(f189,plain,(
% 0.20/0.53 p_Empty(t_139)|level(t_139)=n0),
% 0.20/0.53 inference(cnf_transformation,[status(thm)],[f92])).
% 0.20/0.53 fof(f190,definition,(
% 0.20/0.53 sQ0_spl <=> (p_Empty(t_139))),
% 0.20/0.53 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.20/0.53 fof(f191,plain,(
% 0.20/0.53 p_Empty(t_139)|~sQ0_spl),
% 0.20/0.53 inference(component_clause,[status(thm)],[f190])).
% 0.20/0.53 fof(f193,definition,(
% 0.20/0.53 sQ1_spl <=> (level(t_139)=n0)),
% 0.20/0.53 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.20/0.53 fof(f194,plain,(
% 0.20/0.53 level(t_139)=n0|~sQ1_spl),
% 0.20/0.53 inference(component_clause,[status(thm)],[f193])).
% 0.20/0.53 fof(f195,plain,(
% 0.20/0.53 ~level(t_139)=n0|sQ1_spl),
% 0.20/0.53 inference(component_clause,[status(thm)],[f193])).
% 0.20/0.53 fof(f196,plain,(
% 0.20/0.53 ~sQ0_spl|~sQ1_spl),
% 0.20/0.53 inference(split_clause,[status(thm)],[f188,f190,f193])).
% 0.20/0.53 fof(f197,plain,(
% 0.20/0.53 sQ0_spl|sQ1_spl),
% 0.20/0.53 inference(split_clause,[status(thm)],[f189,f190,f193])).
% 0.20/0.53 fof(f201,plain,(
% 0.20/0.53 ~int_level(t_139)=n0|sQ1_spl),
% 0.20/0.53 inference(backward_demodulation,[status(thm)],[f116,f195])).
% 0.20/0.53 fof(f203,plain,(
% 0.20/0.53 int_level(t_139)=n0|~sQ0_spl),
% 0.20/0.53 inference(resolution,[status(thm)],[f120,f191])).
% 0.20/0.53 fof(f204,plain,(
% 0.20/0.53 $false|sQ1_spl|~sQ0_spl),
% 0.20/0.53 inference(forward_subsumption_resolution,[status(thm)],[f203,f201])).
% 0.20/0.53 fof(f205,plain,(
% 0.20/0.53 sQ1_spl|~sQ0_spl),
% 0.20/0.53 inference(contradiction_clause,[status(thm)],[f204])).
% 0.20/0.53 fof(f206,plain,(
% 0.20/0.53 int_level(t_139)=n0|~sQ1_spl),
% 0.20/0.53 inference(forward_demodulation,[status(thm)],[f116,f194])).
% 0.20/0.53 fof(f207,plain,(
% 0.20/0.53 p_Empty(t_139)|~sQ1_spl),
% 0.20/0.53 inference(resolution,[status(thm)],[f206,f119])).
% 0.20/0.53 fof(f209,plain,(
% 0.20/0.53 sQ0_spl|~sQ1_spl),
% 0.20/0.53 inference(split_clause,[status(thm)],[f207,f190,f193])).
% 0.20/0.53 fof(f214,plain,(
% 0.20/0.53 $false),
% 0.20/0.53 inference(sat_refutation,[status(thm)],[f196,f197,f205,f209])).
% 0.20/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/0.63 % Elapsed time: 0.141354 seconds
% 0.26/0.63 % CPU time: 0.133565 seconds
% 0.26/0.63 % Total memory used: 9.824 MB
% 0.26/0.63 % Net memory used: 9.816 MB
%------------------------------------------------------------------------------