%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV253-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 02:50:20 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV253-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 08:39:07 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f1,negated_conjecture,(
% 0.10/0.40 ( v_K != v_K_H| c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H) ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f2,negated_conjecture,(
% 0.10/0.40 ( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H)| v_K = v_K_H ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f3,axiom,(
% 0.10/0.40 (![V_y]: (c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f4,plain,(
% 0.10/0.40 ~v_K=v_K_H|~c_Message_OinvKey(v_K)=c_Message_OinvKey(v_K_H)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.40 fof(f5,plain,(
% 0.10/0.40 c_Message_OinvKey(v_K)=c_Message_OinvKey(v_K_H)|v_K=v_K_H),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.40 fof(f6,plain,(
% 0.10/0.40 ![X0]: (c_Message_OinvKey(c_Message_OinvKey(X0))=X0)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.40 fof(f7,definition,(
% 0.10/0.40 sQ0_spl <=> (v_K=v_K_H)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f8,plain,(
% 0.10/0.40 v_K=v_K_H|~sQ0_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f7])).
% 0.10/0.40 fof(f9,plain,(
% 0.10/0.40 ~v_K=v_K_H|sQ0_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f7])).
% 0.10/0.40 fof(f10,definition,(
% 0.10/0.40 sQ1_spl <=> (c_Message_OinvKey(v_K)=c_Message_OinvKey(v_K_H))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f11,plain,(
% 0.10/0.40 c_Message_OinvKey(v_K)=c_Message_OinvKey(v_K_H)|~sQ1_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f10])).
% 0.10/0.40 fof(f12,plain,(
% 0.10/0.40 ~c_Message_OinvKey(v_K)=c_Message_OinvKey(v_K_H)|sQ1_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f10])).
% 0.10/0.40 fof(f13,plain,(
% 0.10/0.40 ~sQ0_spl|~sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f4,f7,f10])).
% 0.10/0.40 fof(f14,plain,(
% 0.10/0.40 sQ1_spl|sQ0_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f5,f10,f7])).
% 0.10/0.40 fof(f16,plain,(
% 0.10/0.40 c_Message_OinvKey(c_Message_OinvKey(v_K))=v_K_H|~sQ1_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f11,f6])).
% 0.10/0.40 fof(f17,plain,(
% 0.10/0.40 v_K=v_K_H|~sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f6,f16])).
% 0.10/0.40 fof(f18,plain,(
% 0.10/0.40 $false|sQ0_spl|~sQ1_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f17,f9])).
% 0.10/0.40 fof(f19,plain,(
% 0.10/0.40 sQ0_spl|~sQ1_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f18])).
% 0.10/0.40 fof(f20,plain,(
% 0.10/0.40 ~c_Message_OinvKey(v_K)=c_Message_OinvKey(v_K)|~sQ0_spl|sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f8,f12])).
% 0.10/0.40 fof(f21,plain,(
% 0.10/0.40 $false|~sQ0_spl|sQ1_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f20])).
% 0.10/0.40 fof(f22,plain,(
% 0.10/0.40 ~sQ0_spl|sQ1_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f21])).
% 0.10/0.40 fof(f23,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(sat_refutation,[status(thm)],[f13,f14,f19,f22])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.050024 seconds
% 0.10/0.43 % CPU time: 0.143074 seconds
% 0.10/0.43 % Total memory used: 100.960 MB
% 0.10/0.43 % Net memory used: 100.324 MB
%------------------------------------------------------------------------------