%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN315-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 03:19:19 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN315-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 10:50:45 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f1,negated_conjecture,(
% 0.12/0.37 (![X]: (( ~ f(X)| p(a) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f2,negated_conjecture,(
% 0.12/0.37 (![X]: (( ~ p(a)| f(X) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f3,negated_conjecture,(
% 0.12/0.37 (![X]: (( ~ f(y(X))| ~ p(a) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f4,negated_conjecture,(
% 0.12/0.37 (![X]: (( p(a)| f(y(X)) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f5,plain,(
% 0.12/0.37 (![X]: ~f(X))|p(a)),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f1])).
% 0.12/0.37 fof(f6,plain,(
% 0.12/0.37 ![X0]: (~f(X0)|p(a))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.37 fof(f7,plain,(
% 0.12/0.37 ~p(a)|(![X]: f(X))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f2])).
% 0.12/0.37 fof(f8,plain,(
% 0.12/0.37 ![X0]: (~p(a)|f(X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.37 fof(f9,plain,(
% 0.12/0.37 (![X]: ~f(y(X)))|~p(a)),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f3])).
% 0.12/0.37 fof(f10,plain,(
% 0.12/0.37 ![X0]: (~f(y(X0))|~p(a))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.37 fof(f11,plain,(
% 0.12/0.37 p(a)|(![X]: f(y(X)))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f4])).
% 0.12/0.37 fof(f12,plain,(
% 0.12/0.37 ![X0]: (p(a)|f(y(X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.37 fof(f13,definition,(
% 0.12/0.37 ![X0]: (sQ0_spl <=> (~f(X0)))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f14,plain,(
% 0.12/0.37 ![X0]: (~f(X0)|~sQ0_spl)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f13])).
% 0.12/0.37 fof(f16,definition,(
% 0.12/0.37 sQ1_spl <=> (p(a))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f19,plain,(
% 0.12/0.37 sQ0_spl|sQ1_spl),
% 0.12/0.37 inference(split_clause,[status(thm)],[f6,f13,f16])).
% 0.12/0.37 fof(f20,definition,(
% 0.12/0.37 ![X0]: (sQ2_spl <=> (f(X0)))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f21,plain,(
% 0.12/0.37 ![X0]: (f(X0)|~sQ2_spl)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f20])).
% 0.12/0.37 fof(f23,plain,(
% 0.12/0.37 ~sQ1_spl|sQ2_spl),
% 0.12/0.37 inference(split_clause,[status(thm)],[f8,f16,f20])).
% 0.12/0.37 fof(f24,definition,(
% 0.12/0.37 ![X0]: (sQ3_spl <=> (~f(y(X0))))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f25,plain,(
% 0.12/0.37 ![X0]: (~f(y(X0))|~sQ3_spl)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f24])).
% 0.12/0.37 fof(f27,plain,(
% 0.12/0.37 sQ3_spl|~sQ1_spl),
% 0.12/0.37 inference(split_clause,[status(thm)],[f10,f24,f16])).
% 0.12/0.37 fof(f28,definition,(
% 0.12/0.37 ![X0]: (sQ4_spl <=> (f(y(X0))))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f29,plain,(
% 0.12/0.37 ![X0]: (f(y(X0))|~sQ4_spl)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f28])).
% 0.12/0.37 fof(f31,plain,(
% 0.12/0.37 sQ1_spl|sQ4_spl),
% 0.12/0.37 inference(split_clause,[status(thm)],[f12,f16,f28])).
% 0.12/0.37 fof(f32,plain,(
% 0.12/0.37 $false|~sQ2_spl|~sQ0_spl),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f14,f21])).
% 0.12/0.37 fof(f33,plain,(
% 0.12/0.37 ~sQ2_spl|~sQ0_spl),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f32])).
% 0.12/0.37 fof(f34,plain,(
% 0.12/0.37 $false|~sQ0_spl|~sQ4_spl),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f29,f14])).
% 0.12/0.37 fof(f35,plain,(
% 0.12/0.37 ~sQ0_spl|~sQ4_spl),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f34])).
% 0.12/0.37 fof(f36,plain,(
% 0.12/0.37 $false|~sQ2_spl|~sQ3_spl),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f25,f21])).
% 0.12/0.37 fof(f37,plain,(
% 0.12/0.37 ~sQ2_spl|~sQ3_spl),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f36])).
% 0.12/0.37 fof(f38,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(sat_refutation,[status(thm)],[f19,f23,f27,f31,f33,f35,f37])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.024744 seconds
% 0.12/0.39 % CPU time: 0.038410 seconds
% 0.12/0.39 % Total memory used: 1.026 MB
% 0.12/0.39 % Net memory used: 993.776 KB
%------------------------------------------------------------------------------