%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET838-1 : 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 : n018.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 0.10s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET838-1 : 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 : n018.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 05:42:44 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.42 % Drodi V4.1.1
% 0.10/0.44 % Refutation found
% 0.10/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.44 fof(f1358,negated_conjecture,(
% 0.10/0.44 v_f(v_g(v_x)) = v_x ),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f1359,negated_conjecture,(
% 0.10/0.44 (![V_U]: (( V_U = v_x| v_f(v_g(V_U)) != V_U ) ))),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f1360,negated_conjecture,(
% 0.10/0.44 (![V_U]: (( v_g(v_f(v_xa(V_U))) = v_xa(V_U)| v_g(v_f(V_U)) != V_U ) ))),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f1361,negated_conjecture,(
% 0.10/0.44 (![V_U]: (( v_xa(V_U) != V_U| v_g(v_f(V_U)) != V_U ) ))),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f2837,plain,(
% 0.10/0.44 v_f(v_g(v_x))=v_x),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f1358])).
% 0.10/0.44 fof(f2838,plain,(
% 0.10/0.44 ![X0]: (X0=v_x|~v_f(v_g(X0))=X0)),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f1359])).
% 0.10/0.44 fof(f2839,plain,(
% 0.10/0.44 ![X0]: (v_g(v_f(v_xa(X0)))=v_xa(X0)|~v_g(v_f(X0))=X0)),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f1360])).
% 0.10/0.44 fof(f2840,plain,(
% 0.10/0.44 ![X0]: (~v_xa(X0)=X0|~v_g(v_f(X0))=X0)),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f1361])).
% 0.10/0.44 fof(f2847,plain,(
% 0.10/0.44 ~v_xa(v_g(v_x))=v_g(v_x)|~v_g(v_x)=v_g(v_x)),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f2837,f2840])).
% 0.10/0.44 fof(f2848,definition,(
% 0.10/0.44 sQ1_spl <=> (v_xa(v_g(v_x))=v_g(v_x))),
% 0.10/0.44 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.44 fof(f2850,plain,(
% 0.10/0.44 ~v_xa(v_g(v_x))=v_g(v_x)|sQ1_spl),
% 0.10/0.44 inference(component_clause,[status(thm)],[f2848])).
% 0.10/0.44 fof(f2851,definition,(
% 0.10/0.44 sQ2_spl <=> (v_g(v_x)=v_g(v_x))),
% 0.10/0.44 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.44 fof(f2853,plain,(
% 0.10/0.44 ~v_g(v_x)=v_g(v_x)|sQ2_spl),
% 0.10/0.44 inference(component_clause,[status(thm)],[f2851])).
% 0.10/0.44 fof(f2854,plain,(
% 0.10/0.44 ~sQ1_spl|~sQ2_spl),
% 0.10/0.44 inference(split_clause,[status(thm)],[f2847,f2848,f2851])).
% 0.10/0.44 fof(f2855,plain,(
% 0.10/0.44 v_g(v_f(v_xa(v_g(v_x))))=v_xa(v_g(v_x))|~v_g(v_x)=v_g(v_x)),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f2837,f2839])).
% 0.10/0.44 fof(f2856,definition,(
% 0.10/0.44 sQ3_spl <=> (v_g(v_f(v_xa(v_g(v_x))))=v_xa(v_g(v_x)))),
% 0.10/0.44 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.44 fof(f2857,plain,(
% 0.10/0.44 v_g(v_f(v_xa(v_g(v_x))))=v_xa(v_g(v_x))|~sQ3_spl),
% 0.10/0.44 inference(component_clause,[status(thm)],[f2856])).
% 0.10/0.44 fof(f2859,plain,(
% 0.10/0.44 sQ3_spl|~sQ2_spl),
% 0.10/0.44 inference(split_clause,[status(thm)],[f2855,f2856,f2851])).
% 0.10/0.44 fof(f2860,plain,(
% 0.10/0.44 $false|sQ2_spl),
% 0.10/0.44 inference(trivial_equality_resolution,[status(thm)],[f2853])).
% 0.10/0.44 fof(f2861,plain,(
% 0.10/0.44 sQ2_spl),
% 0.10/0.44 inference(contradiction_clause,[status(thm)],[f2860])).
% 0.10/0.44 fof(f2866,plain,(
% 0.10/0.44 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),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f2857,f2838])).
% 0.10/0.44 fof(f2878,definition,(
% 0.10/0.44 sQ7_spl <=> (v_f(v_xa(v_g(v_x)))=v_x)),
% 0.10/0.44 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/0.44 fof(f2879,plain,(
% 0.10/0.44 v_f(v_xa(v_g(v_x)))=v_x|~sQ7_spl),
% 0.10/0.44 inference(component_clause,[status(thm)],[f2878])).
% 0.10/0.44 fof(f2881,definition,(
% 0.10/0.44 sQ8_spl <=> (v_f(v_xa(v_g(v_x)))=v_f(v_xa(v_g(v_x))))),
% 0.10/0.44 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.10/0.44 fof(f2883,plain,(
% 0.10/0.44 ~v_f(v_xa(v_g(v_x)))=v_f(v_xa(v_g(v_x)))|sQ8_spl),
% 0.10/0.44 inference(component_clause,[status(thm)],[f2881])).
% 0.10/0.44 fof(f2884,plain,(
% 0.10/0.44 sQ7_spl|~sQ8_spl|~sQ3_spl),
% 0.10/0.44 inference(split_clause,[status(thm)],[f2866,f2878,f2881,f2856])).
% 0.10/0.44 fof(f2887,plain,(
% 0.10/0.44 v_g(v_x)=v_xa(v_g(v_x))|~sQ7_spl|~sQ3_spl),
% 0.10/0.44 inference(backward_demodulation,[status(thm)],[f2879,f2857])).
% 0.10/0.44 fof(f2890,plain,(
% 0.10/0.44 $false|sQ1_spl|~sQ7_spl|~sQ3_spl),
% 0.10/0.44 inference(forward_subsumption_resolution,[status(thm)],[f2887,f2850])).
% 0.10/0.44 fof(f2891,plain,(
% 0.10/0.44 sQ1_spl|~sQ7_spl|~sQ3_spl),
% 0.10/0.44 inference(contradiction_clause,[status(thm)],[f2890])).
% 0.10/0.44 fof(f2892,plain,(
% 0.10/0.44 $false|sQ8_spl),
% 0.10/0.44 inference(trivial_equality_resolution,[status(thm)],[f2883])).
% 0.10/0.44 fof(f2893,plain,(
% 0.10/0.44 sQ8_spl),
% 0.10/0.44 inference(contradiction_clause,[status(thm)],[f2892])).
% 0.10/0.44 fof(f2894,plain,(
% 0.10/0.44 $false),
% 0.10/0.44 inference(sat_refutation,[status(thm)],[f2854,f2859,f2861,f2884,f2891,f2893])).
% 0.10/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.49 % Elapsed time: 0.100832 seconds
% 0.21/0.49 % CPU time: 0.235701 seconds
% 0.21/0.49 % Total memory used: 136.897 MB
% 0.21/0.49 % Net memory used: 136.499 MB
%------------------------------------------------------------------------------