%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN069-1 : 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 : n017.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 03:18:52 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.80s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN069-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.77 % Computer : n017.cluster.edu
% 0.12/0.77 % Model : x86_64 x86_64
% 0.12/0.77 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.77 % Memory : 8046.5625MB
% 0.12/0.77 % OS : Linux 6.8.0-71-generic
% 0.12/0.77 % CPULimit : 300
% 0.12/0.77 % WCLimit : 300
% 0.12/0.77 % DateTime : Mon Sep 21 10:36:58 UTC 2026
% 0.12/0.77 % CPUTime :
% 0.12/0.78 % Drodi V4.1.1
% 0.12/0.80 % Refutation found
% 0.12/0.80 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.80 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.80 fof(f1,axiom,(
% 0.12/0.80 (![X,Y]: (( ~ big_f(X)| big_g(f(X))| ~ big_g(Y)| ~ big_h(X,Y)| big_k(Y) ) ))),
% 0.12/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.80 fof(f2,axiom,(
% 0.12/0.80 (![X,Y]: (( ~ big_f(X)| big_h(X,f(X))| ~ big_g(Y)| ~ big_h(X,Y)| big_k(Y) ) ))),
% 0.12/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.80 fof(f3,axiom,(
% 0.12/0.80 (![X,Y]: (( ~ big_f(X)| ~ big_j(X,f(X))| ~ big_g(Y)| ~ big_h(X,Y)| big_k(Y) ) ))),
% 0.12/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.80 fof(f4,axiom,(
% 0.12/0.80 (![X]: (( ~ big_l(X)| ~ big_k(X) ) ))),
% 0.12/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.80 fof(f5,axiom,(
% 0.12/0.80 big_f(a) ),
% 0.12/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.80 fof(f6,axiom,(
% 0.12/0.80 (![X]: (( ~ big_h(a,X)| big_l(X) ) ))),
% 0.12/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.80 fof(f7,axiom,(
% 0.12/0.80 (![X]: (( ~ big_g(X)| ~ big_h(a,X)| big_j(a,X) ) ))),
% 0.12/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.80 fof(f8,negated_conjecture,(
% 0.12/0.80 (![X]: (( ~ big_f(X)| big_g(g(X)) ) ))),
% 0.12/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.80 fof(f9,negated_conjecture,(
% 0.12/0.80 (![X]: (( ~ big_f(X)| big_h(X,g(X)) ) ))),
% 0.12/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.80 fof(f10,plain,(
% 0.12/0.80 ![Y]: ((![X]: (((~big_f(X)|big_g(f(X)))|~big_g(Y))|~big_h(X,Y)))|big_k(Y))),
% 0.12/0.80 inference(miniscoping,[status(thm)],[f1])).
% 0.12/0.80 fof(f11,plain,(
% 0.12/0.80 ![X0,X1]: (~big_f(X0)|big_g(f(X0))|~big_g(X1)|~big_h(X0,X1)|big_k(X1))),
% 0.12/0.80 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.80 fof(f12,plain,(
% 0.12/0.80 ![Y]: ((![X]: (((~big_f(X)|big_h(X,f(X)))|~big_g(Y))|~big_h(X,Y)))|big_k(Y))),
% 0.12/0.80 inference(miniscoping,[status(thm)],[f2])).
% 0.12/0.80 fof(f13,plain,(
% 0.12/0.80 ![X0,X1]: (~big_f(X0)|big_h(X0,f(X0))|~big_g(X1)|~big_h(X0,X1)|big_k(X1))),
% 0.12/0.80 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.80 fof(f14,plain,(
% 0.12/0.80 ![Y]: ((![X]: (((~big_f(X)|~big_j(X,f(X)))|~big_g(Y))|~big_h(X,Y)))|big_k(Y))),
% 0.12/0.80 inference(miniscoping,[status(thm)],[f3])).
% 0.12/0.80 fof(f15,plain,(
% 0.12/0.80 ![X0,X1]: (~big_f(X0)|~big_j(X0,f(X0))|~big_g(X1)|~big_h(X0,X1)|big_k(X1))),
% 0.12/0.80 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.80 fof(f16,plain,(
% 0.12/0.80 ![X0]: (~big_l(X0)|~big_k(X0))),
% 0.12/0.80 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.80 fof(f17,plain,(
% 0.12/0.80 big_f(a)),
% 0.12/0.80 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.80 fof(f18,plain,(
% 0.12/0.80 ![X0]: (~big_h(a,X0)|big_l(X0))),
% 0.12/0.80 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.80 fof(f19,plain,(
% 0.12/0.80 ![X0]: (~big_g(X0)|~big_h(a,X0)|big_j(a,X0))),
% 0.12/0.80 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.80 fof(f20,plain,(
% 0.12/0.80 ![X0]: (~big_f(X0)|big_g(g(X0)))),
% 0.12/0.80 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.80 fof(f21,plain,(
% 0.12/0.80 ![X0]: (~big_f(X0)|big_h(X0,g(X0)))),
% 0.12/0.80 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.80 fof(f22,plain,(
% 0.12/0.80 big_h(a,g(a))),
% 0.12/0.80 inference(resolution,[status(thm)],[f17,f21])).
% 0.12/0.80 fof(f23,plain,(
% 0.12/0.80 big_g(g(a))),
% 0.12/0.80 inference(resolution,[status(thm)],[f17,f20])).
% 0.12/0.80 fof(f24,plain,(
% 0.12/0.80 big_l(g(a))),
% 0.12/0.80 inference(resolution,[status(thm)],[f18,f22])).
% 0.12/0.80 fof(f25,plain,(
% 0.12/0.80 ~big_k(g(a))),
% 0.12/0.80 inference(resolution,[status(thm)],[f24,f16])).
% 0.12/0.80 fof(f27,definition,(
% 0.12/0.80 sQ0_spl <=> (big_g(g(a)))),
% 0.12/0.80 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.80 fof(f29,plain,(
% 0.12/0.80 ~big_g(g(a))|sQ0_spl),
% 0.12/0.80 inference(component_clause,[status(thm)],[f27])).
% 0.12/0.80 fof(f34,plain,(
% 0.12/0.80 $false|sQ0_spl),
% 0.12/0.80 inference(forward_subsumption_resolution,[status(thm)],[f29,f23])).
% 0.12/0.80 fof(f35,plain,(
% 0.12/0.80 sQ0_spl),
% 0.12/0.80 inference(contradiction_clause,[status(thm)],[f34])).
% 0.12/0.80 fof(f36,plain,(
% 0.12/0.80 ~big_f(a)|big_g(f(a))|~big_g(g(a))|big_k(g(a))),
% 0.12/0.80 inference(resolution,[status(thm)],[f11,f22])).
% 0.12/0.80 fof(f37,definition,(
% 0.12/0.80 sQ2_spl <=> (big_f(a))),
% 0.12/0.80 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.80 fof(f39,plain,(
% 0.12/0.80 ~big_f(a)|sQ2_spl),
% 0.12/0.80 inference(component_clause,[status(thm)],[f37])).
% 0.12/0.80 fof(f40,definition,(
% 0.12/0.80 sQ3_spl <=> (big_g(f(a)))),
% 0.12/0.80 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.80 fof(f43,definition,(
% 0.15/0.80 sQ4_spl <=> (big_k(g(a)))),
% 0.15/0.80 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.15/0.80 fof(f44,plain,(
% 0.15/0.80 big_k(g(a))|~sQ4_spl),
% 0.15/0.80 inference(component_clause,[status(thm)],[f43])).
% 0.15/0.80 fof(f46,plain,(
% 0.15/0.80 ~sQ2_spl|sQ3_spl|~sQ0_spl|sQ4_spl),
% 0.15/0.80 inference(split_clause,[status(thm)],[f36,f37,f40,f27,f43])).
% 0.15/0.80 fof(f47,plain,(
% 0.15/0.80 $false|~sQ4_spl),
% 0.15/0.80 inference(forward_subsumption_resolution,[status(thm)],[f44,f25])).
% 0.15/0.80 fof(f48,plain,(
% 0.15/0.80 ~sQ4_spl),
% 0.15/0.80 inference(contradiction_clause,[status(thm)],[f47])).
% 0.15/0.80 fof(f49,plain,(
% 0.15/0.80 $false|sQ2_spl),
% 0.15/0.80 inference(forward_subsumption_resolution,[status(thm)],[f39,f17])).
% 0.15/0.80 fof(f50,plain,(
% 0.15/0.80 sQ2_spl),
% 0.15/0.80 inference(contradiction_clause,[status(thm)],[f49])).
% 0.15/0.80 fof(f51,plain,(
% 0.15/0.80 ~big_f(a)|big_h(a,f(a))|~big_g(g(a))|big_k(g(a))),
% 0.15/0.80 inference(resolution,[status(thm)],[f13,f22])).
% 0.15/0.80 fof(f52,definition,(
% 0.15/0.80 sQ5_spl <=> (big_h(a,f(a)))),
% 0.15/0.80 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.15/0.80 fof(f53,plain,(
% 0.15/0.80 big_h(a,f(a))|~sQ5_spl),
% 0.15/0.80 inference(component_clause,[status(thm)],[f52])).
% 0.15/0.80 fof(f55,plain,(
% 0.15/0.80 ~sQ2_spl|sQ5_spl|~sQ0_spl|sQ4_spl),
% 0.15/0.80 inference(split_clause,[status(thm)],[f51,f37,f52,f27,f43])).
% 0.15/0.80 fof(f56,plain,(
% 0.15/0.80 ~big_g(f(a))|big_j(a,f(a))|~sQ5_spl),
% 0.15/0.80 inference(resolution,[status(thm)],[f53,f19])).
% 0.15/0.80 fof(f60,definition,(
% 0.15/0.80 sQ6_spl <=> (big_j(a,f(a)))),
% 0.15/0.80 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.15/0.80 fof(f61,plain,(
% 0.15/0.80 big_j(a,f(a))|~sQ6_spl),
% 0.15/0.80 inference(component_clause,[status(thm)],[f60])).
% 0.15/0.80 fof(f63,plain,(
% 0.15/0.80 ~sQ3_spl|sQ6_spl|~sQ5_spl),
% 0.15/0.80 inference(split_clause,[status(thm)],[f56,f40,f60,f52])).
% 0.15/0.80 fof(f70,plain,(
% 0.15/0.80 ![X0]: (~big_f(a)|~big_g(X0)|~big_h(a,X0)|big_k(X0)|~sQ6_spl)),
% 0.15/0.80 inference(resolution,[status(thm)],[f61,f15])).
% 0.15/0.80 fof(f71,definition,(
% 0.15/0.80 ![X0]: (sQ8_spl <=> (~big_g(X0)|~big_h(a,X0)|big_k(X0)))),
% 0.15/0.80 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.15/0.80 fof(f72,plain,(
% 0.15/0.80 ![X0]: (~big_g(X0)|~big_h(a,X0)|big_k(X0)|~sQ8_spl)),
% 0.15/0.80 inference(component_clause,[status(thm)],[f71])).
% 0.15/0.80 fof(f74,plain,(
% 0.15/0.80 ~sQ2_spl|sQ8_spl|~sQ6_spl),
% 0.15/0.80 inference(split_clause,[status(thm)],[f70,f37,f71,f60])).
% 0.15/0.80 fof(f76,plain,(
% 0.15/0.80 ~big_g(g(a))|big_k(g(a))|~sQ8_spl),
% 0.15/0.80 inference(resolution,[status(thm)],[f72,f22])).
% 0.15/0.80 fof(f78,plain,(
% 0.15/0.80 ~sQ0_spl|sQ4_spl|~sQ8_spl),
% 0.15/0.80 inference(split_clause,[status(thm)],[f76,f27,f43,f71])).
% 0.15/0.80 fof(f79,plain,(
% 0.15/0.80 $false),
% 0.15/0.80 inference(sat_refutation,[status(thm)],[f35,f46,f48,f50,f55,f63,f74,f78])).
% 0.15/0.80 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.82 % Elapsed time: 0.036486 seconds
% 0.15/0.82 % CPU time: 0.096796 seconds
% 0.15/0.82 % Total memory used: 13.543 MB
% 0.15/0.82 % Net memory used: 13.178 MB
%------------------------------------------------------------------------------