%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN053-1 : 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 : n003.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 0.10s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN053-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n003.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 10:42:16 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.10/0.37 % Refutation found
% 0.10/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.37 fof(f1,negated_conjecture,(
% 0.10/0.37 (![X,Y]: (( p| big_f(X)| big_f(Y) ) ))),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f3,negated_conjecture,(
% 0.10/0.37 ~ p ),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f5,negated_conjecture,(
% 0.10/0.37 ( ~ big_f(a)| ~ big_f(b) ) ),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f6,plain,(
% 0.10/0.37 (p|(![X]: big_f(X)))|(![Y]: big_f(Y))),
% 0.10/0.37 inference(miniscoping,[status(thm)],[f1])).
% 0.10/0.37 fof(f7,plain,(
% 0.10/0.37 ![X0,X1]: (p|big_f(X0)|big_f(X1))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.37 fof(f10,plain,(
% 0.10/0.37 ~p),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.37 fof(f13,plain,(
% 0.10/0.37 ~big_f(a)|~big_f(b)),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.37 fof(f14,definition,(
% 0.10/0.37 sQ0_spl <=> (p)),
% 0.10/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.37 fof(f15,plain,(
% 0.10/0.37 p|~sQ0_spl),
% 0.10/0.37 inference(component_clause,[status(thm)],[f14])).
% 0.10/0.37 fof(f17,definition,(
% 0.10/0.37 ![X0]: (sQ1_spl <=> (big_f(X0)))),
% 0.10/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.37 fof(f18,plain,(
% 0.10/0.37 ![X0]: (big_f(X0)|~sQ1_spl)),
% 0.10/0.37 inference(component_clause,[status(thm)],[f17])).
% 0.10/0.37 fof(f20,plain,(
% 0.10/0.37 sQ0_spl|sQ1_spl),
% 0.10/0.37 inference(split_clause,[status(thm)],[f7,f14,f17])).
% 0.10/0.37 fof(f21,definition,(
% 0.10/0.37 sQ2_spl <=> (big_f(b))),
% 0.10/0.37 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.37 fof(f23,plain,(
% 0.10/0.37 ~big_f(b)|sQ2_spl),
% 0.10/0.37 inference(component_clause,[status(thm)],[f21])).
% 0.10/0.37 fof(f25,definition,(
% 0.10/0.37 sQ3_spl <=> (big_f(a))),
% 0.10/0.37 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.37 fof(f27,plain,(
% 0.10/0.37 ~big_f(a)|sQ3_spl),
% 0.10/0.37 inference(component_clause,[status(thm)],[f25])).
% 0.10/0.37 fof(f29,plain,(
% 0.10/0.37 ~sQ3_spl|~sQ2_spl),
% 0.10/0.37 inference(split_clause,[status(thm)],[f13,f25,f21])).
% 0.10/0.37 fof(f30,plain,(
% 0.10/0.37 $false|~sQ0_spl),
% 0.10/0.37 inference(forward_subsumption_resolution,[status(thm)],[f15,f10])).
% 0.10/0.37 fof(f31,plain,(
% 0.10/0.37 ~sQ0_spl),
% 0.10/0.37 inference(contradiction_clause,[status(thm)],[f30])).
% 0.10/0.37 fof(f32,plain,(
% 0.10/0.37 $false|~sQ1_spl|sQ3_spl),
% 0.10/0.37 inference(forward_subsumption_resolution,[status(thm)],[f27,f18])).
% 0.10/0.37 fof(f33,plain,(
% 0.10/0.37 ~sQ1_spl|sQ3_spl),
% 0.10/0.37 inference(contradiction_clause,[status(thm)],[f32])).
% 0.10/0.37 fof(f34,plain,(
% 0.10/0.37 $false|~sQ1_spl|sQ2_spl),
% 0.10/0.37 inference(forward_subsumption_resolution,[status(thm)],[f23,f18])).
% 0.10/0.37 fof(f35,plain,(
% 0.10/0.37 ~sQ1_spl|sQ2_spl),
% 0.10/0.37 inference(contradiction_clause,[status(thm)],[f34])).
% 0.10/0.37 fof(f36,plain,(
% 0.10/0.37 $false),
% 0.10/0.37 inference(sat_refutation,[status(thm)],[f20,f29,f31,f33,f35])).
% 0.10/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.39 % Elapsed time: 0.022684 seconds
% 0.14/0.39 % CPU time: 0.029683 seconds
% 0.14/0.39 % Total memory used: 514.512 KB
% 0.14/0.39 % Net memory used: 500.480 KB
%------------------------------------------------------------------------------