%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET838-2 : 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 : n007.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 02:12:42 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET838-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n007.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 05:38:51 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.48 % Drodi V4.1.1
% 0.20/0.50 % Refutation found
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.50 fof(f1,negated_conjecture,(
% 0.20/0.50 v_f(v_g(v_x)) = v_x ),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f2,negated_conjecture,(
% 0.20/0.50 (![V_U]: (( V_U = v_x| v_f(v_g(V_U)) != V_U ) ))),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f3,negated_conjecture,(
% 0.20/0.50 (![V_U]: (( v_g(v_f(v_xa(V_U))) = v_xa(V_U)| v_g(v_f(V_U)) != V_U ) ))),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f4,negated_conjecture,(
% 0.20/0.50 (![V_U]: (( v_xa(V_U) != V_U| v_g(v_f(V_U)) != V_U ) ))),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f5,plain,(
% 0.20/0.50 v_f(v_g(v_x))=v_x),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f1])).
% 0.20/0.50 fof(f6,plain,(
% 0.20/0.50 ![X0]: (X0=v_x|~v_f(v_g(X0))=X0)),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f2])).
% 0.20/0.50 fof(f7,plain,(
% 0.20/0.50 ![X0]: (v_g(v_f(v_xa(X0)))=v_xa(X0)|~v_g(v_f(X0))=X0)),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f3])).
% 0.20/0.50 fof(f8,plain,(
% 0.20/0.50 ![X0]: (~v_xa(X0)=X0|~v_g(v_f(X0))=X0)),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f4])).
% 0.20/0.50 fof(f15,plain,(
% 0.20/0.50 ~v_xa(v_g(v_x))=v_g(v_x)|~v_g(v_x)=v_g(v_x)),
% 0.20/0.50 inference(paramodulation,[status(thm)],[f5,f8])).
% 0.20/0.50 fof(f16,definition,(
% 0.20/0.50 sQ1_spl <=> (v_xa(v_g(v_x))=v_g(v_x))),
% 0.20/0.50 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.20/0.50 fof(f18,plain,(
% 0.20/0.50 ~v_xa(v_g(v_x))=v_g(v_x)|sQ1_spl),
% 0.20/0.50 inference(component_clause,[status(thm)],[f16])).
% 0.20/0.50 fof(f19,definition,(
% 0.20/0.50 sQ2_spl <=> (v_g(v_x)=v_g(v_x))),
% 0.20/0.50 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.20/0.50 fof(f21,plain,(
% 0.20/0.50 ~v_g(v_x)=v_g(v_x)|sQ2_spl),
% 0.20/0.50 inference(component_clause,[status(thm)],[f19])).
% 0.20/0.50 fof(f22,plain,(
% 0.20/0.50 ~sQ1_spl|~sQ2_spl),
% 0.20/0.50 inference(split_clause,[status(thm)],[f15,f16,f19])).
% 0.20/0.50 fof(f23,plain,(
% 0.20/0.50 v_g(v_f(v_xa(v_g(v_x))))=v_xa(v_g(v_x))|~v_g(v_x)=v_g(v_x)),
% 0.20/0.50 inference(paramodulation,[status(thm)],[f5,f7])).
% 0.20/0.50 fof(f24,definition,(
% 0.20/0.50 sQ3_spl <=> (v_g(v_f(v_xa(v_g(v_x))))=v_xa(v_g(v_x)))),
% 0.20/0.50 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.20/0.50 fof(f25,plain,(
% 0.20/0.50 v_g(v_f(v_xa(v_g(v_x))))=v_xa(v_g(v_x))|~sQ3_spl),
% 0.20/0.50 inference(component_clause,[status(thm)],[f24])).
% 0.20/0.50 fof(f27,plain,(
% 0.20/0.50 sQ3_spl|~sQ2_spl),
% 0.20/0.50 inference(split_clause,[status(thm)],[f23,f24,f19])).
% 0.20/0.50 fof(f28,plain,(
% 0.20/0.50 $false|sQ2_spl),
% 0.20/0.50 inference(trivial_equality_resolution,[status(thm)],[f21])).
% 0.20/0.50 fof(f29,plain,(
% 0.20/0.50 sQ2_spl),
% 0.20/0.50 inference(contradiction_clause,[status(thm)],[f28])).
% 0.20/0.50 fof(f34,plain,(
% 0.20/0.50 v_f(v_xa(v_g(v_x)))=v_x|~v_f(v_xa(v_g(v_x)))=v_f(v_xa(v_g(v_x)))|~sQ3_spl),
% 0.20/0.50 inference(paramodulation,[status(thm)],[f25,f6])).
% 0.20/0.50 fof(f46,definition,(
% 0.20/0.50 sQ7_spl <=> (v_f(v_xa(v_g(v_x)))=v_x)),
% 0.20/0.50 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.20/0.50 fof(f47,plain,(
% 0.20/0.50 v_f(v_xa(v_g(v_x)))=v_x|~sQ7_spl),
% 0.20/0.50 inference(component_clause,[status(thm)],[f46])).
% 0.20/0.50 fof(f49,definition,(
% 0.20/0.50 sQ8_spl <=> (v_f(v_xa(v_g(v_x)))=v_f(v_xa(v_g(v_x))))),
% 0.20/0.50 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.20/0.50 fof(f51,plain,(
% 0.20/0.50 ~v_f(v_xa(v_g(v_x)))=v_f(v_xa(v_g(v_x)))|sQ8_spl),
% 0.20/0.50 inference(component_clause,[status(thm)],[f49])).
% 0.20/0.50 fof(f52,plain,(
% 0.20/0.50 sQ7_spl|~sQ8_spl|~sQ3_spl),
% 0.20/0.50 inference(split_clause,[status(thm)],[f34,f46,f49,f24])).
% 0.20/0.50 fof(f55,plain,(
% 0.20/0.50 v_g(v_x)=v_xa(v_g(v_x))|~sQ7_spl|~sQ3_spl),
% 0.20/0.50 inference(backward_demodulation,[status(thm)],[f47,f25])).
% 0.20/0.50 fof(f56,plain,(
% 0.20/0.50 $false|sQ1_spl|~sQ7_spl|~sQ3_spl),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f55,f18])).
% 0.20/0.50 fof(f57,plain,(
% 0.20/0.50 sQ1_spl|~sQ7_spl|~sQ3_spl),
% 0.20/0.50 inference(contradiction_clause,[status(thm)],[f56])).
% 0.20/0.50 fof(f58,plain,(
% 0.20/0.50 $false|sQ8_spl),
% 0.20/0.50 inference(trivial_equality_resolution,[status(thm)],[f51])).
% 0.20/0.50 fof(f59,plain,(
% 0.20/0.50 sQ8_spl),
% 0.20/0.50 inference(contradiction_clause,[status(thm)],[f58])).
% 0.20/0.50 fof(f60,plain,(
% 0.20/0.50 $false),
% 0.20/0.50 inference(sat_refutation,[status(thm)],[f22,f27,f29,f52,f57,f59])).
% 0.20/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.55 % Elapsed time: 0.083314 seconds
% 0.20/0.55 % CPU time: 0.096912 seconds
% 0.20/0.55 % Total memory used: 2.086 MB
% 0.20/0.55 % Net memory used: 2.084 MB
%------------------------------------------------------------------------------