%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN082-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 03:18:55 PM UTC 2026
% Result : Unsatisfiable 0.10s 5.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN082-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n006.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 10:42:35 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.38 % Drodi V4.1.1
% 0.10/5.39 % Refutation found
% 0.10/5.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/5.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/5.39 fof(f1,negated_conjecture,(
% 0.10/5.39 (![Y]: (( big_f(a,f(a))| ~ big_f(Y,b)| big_f(Y,f(a)) ) ))),
% 0.10/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/5.39 fof(f2,negated_conjecture,(
% 0.10/5.39 ( big_f(a,f(a))| big_f(a,b) ) ),
% 0.10/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/5.39 fof(f5,negated_conjecture,(
% 0.10/5.39 (![X]: (( big_f(g(X),X)| ~ big_f(a,X)| ~ big_f(a,f(a)) ) ))),
% 0.10/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/5.39 fof(f8,negated_conjecture,(
% 0.10/5.39 (![X]: (( ~ big_f(g(X),X)| ~ big_f(a,X)| ~ big_f(a,f(a)) ) ))),
% 0.10/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/5.39 fof(f9,plain,(
% 0.10/5.39 ![X0]: (big_f(a,f(a))|~big_f(X0,b)|big_f(X0,f(a)))),
% 0.10/5.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/5.39 fof(f10,plain,(
% 0.10/5.39 big_f(a,f(a))|big_f(a,b)),
% 0.10/5.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/5.39 fof(f15,plain,(
% 0.10/5.39 (![X]: (big_f(g(X),X)|~big_f(a,X)))|~big_f(a,f(a))),
% 0.10/5.39 inference(miniscoping,[status(thm)],[f5])).
% 0.10/5.39 fof(f16,plain,(
% 0.10/5.39 ![X0]: (big_f(g(X0),X0)|~big_f(a,X0)|~big_f(a,f(a)))),
% 0.10/5.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/5.39 fof(f21,plain,(
% 0.10/5.39 (![X]: (~big_f(g(X),X)|~big_f(a,X)))|~big_f(a,f(a))),
% 0.10/5.39 inference(miniscoping,[status(thm)],[f8])).
% 0.10/5.39 fof(f22,plain,(
% 0.10/5.39 ![X0]: (~big_f(g(X0),X0)|~big_f(a,X0)|~big_f(a,f(a)))),
% 0.10/5.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.10/5.39 fof(f23,definition,(
% 0.10/5.39 sQ0_spl <=> (big_f(a,f(a)))),
% 0.10/5.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/5.39 fof(f24,plain,(
% 0.10/5.39 big_f(a,f(a))|~sQ0_spl),
% 0.10/5.39 inference(component_clause,[status(thm)],[f23])).
% 0.10/5.39 fof(f25,plain,(
% 0.10/5.39 ~big_f(a,f(a))|sQ0_spl),
% 0.10/5.39 inference(component_clause,[status(thm)],[f23])).
% 0.10/5.39 fof(f26,definition,(
% 0.10/5.39 ![X0]: (sQ1_spl <=> (~big_f(X0,b)|big_f(X0,f(a))))),
% 0.10/5.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/5.39 fof(f27,plain,(
% 0.10/5.39 ![X0]: (~big_f(X0,b)|big_f(X0,f(a))|~sQ1_spl)),
% 0.10/5.39 inference(component_clause,[status(thm)],[f26])).
% 0.10/5.39 fof(f29,plain,(
% 0.10/5.39 sQ0_spl|sQ1_spl),
% 0.10/5.39 inference(split_clause,[status(thm)],[f9,f23,f26])).
% 0.10/5.39 fof(f30,definition,(
% 0.10/5.39 sQ2_spl <=> (big_f(a,b))),
% 0.10/5.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/5.39 fof(f31,plain,(
% 0.10/5.39 big_f(a,b)|~sQ2_spl),
% 0.10/5.39 inference(component_clause,[status(thm)],[f30])).
% 0.10/5.39 fof(f33,plain,(
% 0.10/5.39 sQ0_spl|sQ2_spl),
% 0.10/5.39 inference(split_clause,[status(thm)],[f10,f23,f30])).
% 0.10/5.39 fof(f34,definition,(
% 0.10/5.39 ![X0]: (sQ3_spl <=> (big_f(g(X0),X0)|~big_f(a,X0)))),
% 0.10/5.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/5.39 fof(f35,plain,(
% 0.10/5.39 ![X0]: (big_f(g(X0),X0)|~big_f(a,X0)|~sQ3_spl)),
% 0.10/5.39 inference(component_clause,[status(thm)],[f34])).
% 0.10/5.39 fof(f39,plain,(
% 0.10/5.39 sQ3_spl|~sQ0_spl),
% 0.10/5.39 inference(split_clause,[status(thm)],[f16,f34,f23])).
% 0.10/5.39 fof(f40,definition,(
% 0.10/5.39 ![X0]: (sQ4_spl <=> (~big_f(g(X0),X0)|~big_f(a,X0)))),
% 0.10/5.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/5.39 fof(f41,plain,(
% 0.10/5.39 ![X0]: (~big_f(g(X0),X0)|~big_f(a,X0)|~sQ4_spl)),
% 0.10/5.39 inference(component_clause,[status(thm)],[f40])).
% 0.10/5.39 fof(f45,plain,(
% 0.10/5.39 sQ4_spl|~sQ0_spl),
% 0.10/5.39 inference(split_clause,[status(thm)],[f22,f40,f23])).
% 0.10/5.39 fof(f46,plain,(
% 0.10/5.39 $false|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.10/5.39 inference(backward_subsumption_resolution,[status(thm)],[f31,f47])).
% 0.10/5.39 fof(f47,plain,(
% 0.10/5.39 ![X0]: (~big_f(a,X0)|~sQ4_spl|~sQ3_spl)),
% 0.10/5.39 inference(forward_subsumption_resolution,[status(thm)],[f35,f41])).
% 0.10/5.39 fof(f48,plain,(
% 0.10/5.39 ~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.10/5.39 inference(contradiction_clause,[status(thm)],[f46])).
% 0.10/5.39 fof(f49,plain,(
% 0.10/5.39 big_f(a,f(a))|~sQ1_spl|~sQ2_spl),
% 0.10/5.39 inference(resolution,[status(thm)],[f27,f31])).
% 0.10/5.39 fof(f50,plain,(
% 0.10/5.39 $false|sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.10/5.39 inference(forward_subsumption_resolution,[status(thm)],[f49,f25])).
% 0.10/5.39 fof(f51,plain,(
% 0.10/5.39 sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.10/5.39 inference(contradiction_clause,[status(thm)],[f50])).
% 0.10/5.39 fof(f52,plain,(
% 0.10/5.39 $false|~sQ4_spl|~sQ3_spl|~sQ0_spl),
% 0.10/5.39 inference(forward_subsumption_resolution,[status(thm)],[f24,f47])).
% 0.10/5.39 fof(f53,plain,(
% 0.10/5.39 ~sQ4_spl|~sQ3_spl|~sQ0_spl),
% 0.10/5.39 inference(contradiction_clause,[status(thm)],[f52])).
% 0.10/5.39 fof(f54,plain,(
% 0.10/5.39 $false),
% 0.10/5.39 inference(sat_refutation,[status(thm)],[f29,f33,f39,f45,f48,f51,f53])).
% 0.10/5.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.41 % Elapsed time: 0.032797 seconds
% 0.14/5.41 % CPU time: 0.076618 seconds
% 0.14/5.41 % Total memory used: 9.345 MB
% 0.14/5.41 % Net memory used: 9.079 MB
%------------------------------------------------------------------------------