%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN055-1 : 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 : n013.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 03:18:49 PM UTC 2026
% Result : Unsatisfiable 0.09s 10.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN055-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/10.37 % Computer : n013.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Mon Sep 21 10:40:33 UTC 2026
% 0.09/10.37 % CPUTime :
% 0.09/10.38 % Drodi V4.1.1
% 0.09/10.39 % Refutation found
% 0.09/10.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/10.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/10.39 fof(f1,axiom,(
% 0.09/10.39 big_p(a) ),
% 0.09/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.39 fof(f2,axiom,(
% 0.09/10.39 (![X]: (( ~ big_f(X)| ~ big_g(X)| ~ big_r(X) ) ))),
% 0.09/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.39 fof(f3,axiom,(
% 0.09/10.39 (![X]: (( ~ big_p(X)| big_f(X) ) ))),
% 0.09/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.39 fof(f4,axiom,(
% 0.09/10.39 (![X]: (( ~ big_p(X)| big_g(X) ) ))),
% 0.09/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.39 fof(f5,axiom,(
% 0.09/10.39 (![X]: (( ~ big_p(X)| big_q(X)| big_p(b) ) ))),
% 0.09/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.39 fof(f6,negated_conjecture,(
% 0.09/10.39 (![X]: (( ~ big_p(X)| big_q(X)| big_r(b) ) ))),
% 0.09/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.39 fof(f7,negated_conjecture,(
% 0.09/10.39 (![X]: (( ~ big_q(X)| ~ big_p(X) ) ))),
% 0.09/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.39 fof(f8,plain,(
% 0.09/10.39 big_p(a)),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/10.39 fof(f9,plain,(
% 0.09/10.39 ![X0]: (~big_f(X0)|~big_g(X0)|~big_r(X0))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/10.39 fof(f10,plain,(
% 0.09/10.39 ![X0]: (~big_p(X0)|big_f(X0))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/10.39 fof(f11,plain,(
% 0.09/10.39 ![X0]: (~big_p(X0)|big_g(X0))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/10.39 fof(f12,plain,(
% 0.09/10.39 (![X]: (~big_p(X)|big_q(X)))|big_p(b)),
% 0.09/10.39 inference(miniscoping,[status(thm)],[f5])).
% 0.09/10.39 fof(f13,plain,(
% 0.09/10.39 ![X0]: (~big_p(X0)|big_q(X0)|big_p(b))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/10.39 fof(f14,plain,(
% 0.09/10.39 (![X]: (~big_p(X)|big_q(X)))|big_r(b)),
% 0.09/10.39 inference(miniscoping,[status(thm)],[f6])).
% 0.09/10.39 fof(f15,plain,(
% 0.09/10.39 ![X0]: (~big_p(X0)|big_q(X0)|big_r(b))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/10.39 fof(f16,plain,(
% 0.09/10.39 ![X0]: (~big_q(X0)|~big_p(X0))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/10.39 fof(f17,definition,(
% 0.09/10.39 ![X0]: (sQ0_spl <=> (~big_p(X0)|big_q(X0)))),
% 0.09/10.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/10.39 fof(f18,plain,(
% 0.09/10.39 ![X0]: (~big_p(X0)|big_q(X0)|~sQ0_spl)),
% 0.09/10.39 inference(component_clause,[status(thm)],[f17])).
% 0.09/10.39 fof(f20,definition,(
% 0.09/10.39 sQ1_spl <=> (big_p(b))),
% 0.09/10.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/10.39 fof(f21,plain,(
% 0.09/10.39 big_p(b)|~sQ1_spl),
% 0.09/10.39 inference(component_clause,[status(thm)],[f20])).
% 0.09/10.39 fof(f23,plain,(
% 0.09/10.39 sQ0_spl|sQ1_spl),
% 0.09/10.39 inference(split_clause,[status(thm)],[f13,f17,f20])).
% 0.09/10.39 fof(f24,definition,(
% 0.09/10.39 sQ2_spl <=> (big_r(b))),
% 0.09/10.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/10.39 fof(f25,plain,(
% 0.09/10.39 big_r(b)|~sQ2_spl),
% 0.09/10.39 inference(component_clause,[status(thm)],[f24])).
% 0.09/10.39 fof(f27,plain,(
% 0.09/10.39 sQ0_spl|sQ2_spl),
% 0.09/10.39 inference(split_clause,[status(thm)],[f15,f17,f24])).
% 0.09/10.39 fof(f28,plain,(
% 0.09/10.39 ![X0]: (~big_p(X0)|~sQ0_spl)),
% 0.09/10.39 inference(forward_subsumption_resolution,[status(thm)],[f18,f16])).
% 0.09/10.39 fof(f29,plain,(
% 0.09/10.39 $false|~sQ0_spl),
% 0.09/10.39 inference(forward_subsumption_resolution,[status(thm)],[f8,f28])).
% 0.09/10.39 fof(f30,plain,(
% 0.09/10.39 ~sQ0_spl),
% 0.09/10.39 inference(contradiction_clause,[status(thm)],[f29])).
% 0.09/10.39 fof(f31,plain,(
% 0.09/10.39 ~big_f(b)|~big_g(b)|~sQ2_spl),
% 0.09/10.39 inference(resolution,[status(thm)],[f25,f9])).
% 0.09/10.39 fof(f32,definition,(
% 0.09/10.39 sQ3_spl <=> (big_f(b))),
% 0.09/10.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/10.39 fof(f34,plain,(
% 0.09/10.39 ~big_f(b)|sQ3_spl),
% 0.09/10.39 inference(component_clause,[status(thm)],[f32])).
% 0.09/10.39 fof(f35,definition,(
% 0.09/10.39 sQ4_spl <=> (big_g(b))),
% 0.09/10.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/10.39 fof(f37,plain,(
% 0.09/10.39 ~big_g(b)|sQ4_spl),
% 0.09/10.39 inference(component_clause,[status(thm)],[f35])).
% 0.09/10.39 fof(f38,plain,(
% 0.09/10.39 ~sQ3_spl|~sQ4_spl|~sQ2_spl),
% 0.09/10.39 inference(split_clause,[status(thm)],[f31,f32,f35,f24])).
% 0.09/10.39 fof(f39,plain,(
% 0.09/10.39 ~big_p(b)|sQ3_spl),
% 0.09/10.39 inference(resolution,[status(thm)],[f10,f34])).
% 0.09/10.39 fof(f40,plain,(
% 0.09/10.39 $false|~sQ1_spl|sQ3_spl),
% 0.09/10.39 inference(forward_subsumption_resolution,[status(thm)],[f39,f21])).
% 0.09/10.39 fof(f41,plain,(
% 0.09/10.39 ~sQ1_spl|sQ3_spl),
% 0.09/10.39 inference(contradiction_clause,[status(thm)],[f40])).
% 0.09/10.40 fof(f42,plain,(
% 0.09/10.40 ~big_p(b)|sQ4_spl),
% 0.09/10.40 inference(resolution,[status(thm)],[f11,f37])).
% 0.09/10.40 fof(f44,plain,(
% 0.09/10.40 $false|~sQ1_spl|sQ4_spl),
% 0.09/10.40 inference(forward_subsumption_resolution,[status(thm)],[f42,f21])).
% 0.09/10.40 fof(f45,plain,(
% 0.09/10.40 ~sQ1_spl|sQ4_spl),
% 0.09/10.40 inference(contradiction_clause,[status(thm)],[f44])).
% 0.09/10.40 fof(f46,plain,(
% 0.09/10.40 $false),
% 0.09/10.40 inference(sat_refutation,[status(thm)],[f23,f27,f30,f38,f41,f45])).
% 0.09/10.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/10.42 % Elapsed time: 0.034039 seconds
% 0.13/10.42 % CPU time: 0.086957 seconds
% 0.13/10.42 % Total memory used: 11.357 MB
% 0.13/10.42 % Net memory used: 11.005 MB
%------------------------------------------------------------------------------