%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN070-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 03:18:53 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN070-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 10:37:42 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,axiom,(
% 0.14/0.38 (![X]: (( ~ big_f(X)| big_f(f(X))| big_g(X) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,axiom,(
% 0.14/0.38 (![X]: (( ~ big_f(X)| big_h(f(X),X)| big_g(X) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f3,axiom,(
% 0.14/0.38 (![X]: (( ~ big_f(X)| ~ big_g(f(X))| big_g(X) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f4,axiom,(
% 0.14/0.38 (![X]: (( ~ big_f(X)| big_g(X)| big_f(a) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f5,axiom,(
% 0.14/0.38 (![X]: (( ~ big_f(X)| big_g(X)| ~ big_g(a) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f6,axiom,(
% 0.14/0.38 (![X,Y]: (( ~ big_f(X)| big_g(X)| ~ big_f(Y)| big_g(Y)| big_j(a,Y) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f7,axiom,(
% 0.14/0.38 (![X,Y]: (( ~ big_f(X)| ~ big_f(Y)| ~ big_h(X,Y)| ~ big_j(Y,X) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f8,negated_conjecture,(
% 0.14/0.38 big_f(b) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f9,negated_conjecture,(
% 0.14/0.38 ~ big_g(b) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f10,plain,(
% 0.14/0.38 ![X0]: (~big_f(X0)|big_f(f(X0))|big_g(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.38 fof(f11,plain,(
% 0.14/0.38 ![X0]: (~big_f(X0)|big_h(f(X0),X0)|big_g(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.38 fof(f12,plain,(
% 0.14/0.38 ![X0]: (~big_f(X0)|~big_g(f(X0))|big_g(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.38 fof(f13,plain,(
% 0.14/0.38 (![X]: (~big_f(X)|big_g(X)))|big_f(a)),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f4])).
% 0.14/0.38 fof(f14,plain,(
% 0.14/0.38 ![X0]: (~big_f(X0)|big_g(X0)|big_f(a))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.38 fof(f15,plain,(
% 0.14/0.38 (![X]: (~big_f(X)|big_g(X)))|~big_g(a)),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f5])).
% 0.14/0.38 fof(f16,plain,(
% 0.14/0.38 ![X0]: (~big_f(X0)|big_g(X0)|~big_g(a))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.38 fof(f17,plain,(
% 0.14/0.38 ![Y]: ((((![X]: (~big_f(X)|big_g(X)))|~big_f(Y))|big_g(Y))|big_j(a,Y))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f6])).
% 0.14/0.38 fof(f18,plain,(
% 0.14/0.38 ![X0,X1]: (~big_f(X0)|big_g(X0)|~big_f(X1)|big_g(X1)|big_j(a,X1))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.38 fof(f19,plain,(
% 0.14/0.38 ![X0,X1]: (~big_f(X0)|~big_f(X1)|~big_h(X0,X1)|~big_j(X1,X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.38 fof(f20,plain,(
% 0.14/0.38 big_f(b)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.38 fof(f21,plain,(
% 0.14/0.38 ~big_g(b)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.38 fof(f22,definition,(
% 0.14/0.38 ![X0]: (sQ0_spl <=> (~big_f(X0)|big_g(X0)))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f23,plain,(
% 0.14/0.38 ![X0]: (~big_f(X0)|big_g(X0)|~sQ0_spl)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f22])).
% 0.14/0.38 fof(f25,definition,(
% 0.14/0.38 sQ1_spl <=> (big_f(a))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f28,plain,(
% 0.14/0.38 sQ0_spl|sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f14,f22,f25])).
% 0.14/0.38 fof(f29,definition,(
% 0.14/0.38 sQ2_spl <=> (big_g(a))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f32,plain,(
% 0.14/0.38 sQ0_spl|~sQ2_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f16,f22,f29])).
% 0.14/0.38 fof(f33,definition,(
% 0.14/0.38 ![X1]: (sQ3_spl <=> (~big_f(X1)|big_g(X1)|big_j(a,X1)))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f34,plain,(
% 0.14/0.38 ![X0]: (~big_f(X0)|big_g(X0)|big_j(a,X0)|~sQ3_spl)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f33])).
% 0.14/0.38 fof(f36,plain,(
% 0.14/0.38 sQ0_spl|sQ3_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f18,f22,f33])).
% 0.14/0.38 fof(f37,plain,(
% 0.14/0.38 ~big_f(b)|~sQ0_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f23,f21])).
% 0.14/0.38 fof(f38,plain,(
% 0.14/0.38 $false|~sQ0_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f37,f20])).
% 0.14/0.38 fof(f39,plain,(
% 0.14/0.38 ~sQ0_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f38])).
% 0.14/0.38 fof(f40,plain,(
% 0.14/0.38 ![X0]: (~big_f(X0)|~big_f(a)|~big_h(X0,a)|~big_f(X0)|big_g(X0)|~sQ3_spl)),
% 0.14/0.38 inference(resolution,[status(thm)],[f19,f34])).
% 0.14/0.38 fof(f41,definition,(
% 0.14/0.38 ![X0]: (sQ4_spl <=> (~big_f(X0)|~big_h(X0,a)|~big_f(X0)|big_g(X0)))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f42,plain,(
% 0.14/0.38 ![X0]: (~big_f(X0)|~big_h(X0,a)|~big_f(X0)|big_g(X0)|~sQ4_spl)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f41])).
% 0.14/0.38 fof(f44,plain,(
% 0.14/0.38 sQ4_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f40,f41,f25,f33])).
% 0.14/0.38 fof(f45,plain,(
% 0.14/0.38 ![X0]: (~big_f(X0)|~big_h(X0,a)|big_g(X0)|~sQ4_spl)),
% 0.14/0.38 inference(duplicate_literals_removal,[status(thm)],[f42])).
% 0.14/0.38 fof(f46,plain,(
% 0.14/0.38 ~big_f(f(a))|big_g(f(a))|~big_f(a)|big_g(a)|~sQ4_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f45,f11])).
% 0.14/0.38 fof(f47,definition,(
% 0.14/0.38 sQ5_spl <=> (big_f(f(a)))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f49,plain,(
% 0.14/0.38 ~big_f(f(a))|sQ5_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f47])).
% 0.14/0.38 fof(f50,definition,(
% 0.14/0.39 sQ6_spl <=> (big_g(f(a)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f51,plain,(
% 0.14/0.39 big_g(f(a))|~sQ6_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f50])).
% 0.14/0.39 fof(f53,plain,(
% 0.14/0.39 ~sQ5_spl|sQ6_spl|~sQ1_spl|sQ2_spl|~sQ4_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f46,f47,f50,f25,f29,f41])).
% 0.14/0.39 fof(f54,plain,(
% 0.14/0.39 ~big_f(a)|big_g(a)|sQ5_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f49,f10])).
% 0.14/0.39 fof(f55,plain,(
% 0.14/0.39 ~sQ1_spl|sQ2_spl|sQ5_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f54,f25,f29,f47])).
% 0.14/0.39 fof(f56,plain,(
% 0.14/0.39 ~big_f(a)|big_g(a)|~sQ6_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f51,f12])).
% 0.14/0.39 fof(f57,plain,(
% 0.14/0.39 ~sQ1_spl|sQ2_spl|~sQ6_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f56,f25,f29,f50])).
% 0.14/0.39 fof(f58,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f28,f32,f36,f39,f44,f53,f55,f57])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.038523 seconds
% 0.14/0.41 % CPU time: 0.107651 seconds
% 0.14/0.41 % Total memory used: 16.608 MB
% 0.14/0.41 % Net memory used: 16.097 MB
%------------------------------------------------------------------------------