%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN052-1 : 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 : n011.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 03:18:48 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN052-1 : 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 : n011.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 10:40:56 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f1,negated_conjecture,(
% 0.14/0.39 (![X]: (( p| ~ big_f(X) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f2,negated_conjecture,(
% 0.14/0.39 (![X]: (( big_f(X)| ~ p ) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f3,negated_conjecture,(
% 0.14/0.39 (![Y]: (( big_f(Y)| p ) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f4,negated_conjecture,(
% 0.14/0.39 ( ~ p| ~ big_f(a) ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f6,plain,(
% 0.14/0.39 p|(![X]: ~big_f(X))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f1])).
% 0.14/0.39 fof(f7,plain,(
% 0.14/0.39 ![X0]: (p|~big_f(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.39 fof(f8,plain,(
% 0.14/0.39 (![X]: big_f(X))|~p),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f2])).
% 0.14/0.39 fof(f9,plain,(
% 0.14/0.39 ![X0]: (big_f(X0)|~p)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.39 fof(f10,plain,(
% 0.14/0.39 (![Y]: big_f(Y))|p),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f3])).
% 0.14/0.39 fof(f11,plain,(
% 0.14/0.39 ![X0]: (big_f(X0)|p)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.39 fof(f12,plain,(
% 0.14/0.39 ~p|~big_f(a)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.39 fof(f15,definition,(
% 0.14/0.39 sQ0_spl <=> (p)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f18,definition,(
% 0.14/0.39 ![X0]: (sQ1_spl <=> (~big_f(X0)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f19,plain,(
% 0.14/0.39 ![X0]: (~big_f(X0)|~sQ1_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f18])).
% 0.14/0.39 fof(f21,plain,(
% 0.14/0.39 sQ0_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f7,f15,f18])).
% 0.14/0.39 fof(f22,definition,(
% 0.14/0.39 ![X0]: (sQ2_spl <=> (big_f(X0)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f23,plain,(
% 0.14/0.39 ![X0]: (big_f(X0)|~sQ2_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f22])).
% 0.14/0.39 fof(f25,plain,(
% 0.14/0.39 sQ2_spl|~sQ0_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f9,f22,f15])).
% 0.14/0.39 fof(f26,plain,(
% 0.14/0.39 sQ2_spl|sQ0_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f11,f22,f15])).
% 0.14/0.39 fof(f27,definition,(
% 0.14/0.39 sQ3_spl <=> (big_f(a))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f29,plain,(
% 0.14/0.39 ~big_f(a)|sQ3_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f27])).
% 0.14/0.39 fof(f30,plain,(
% 0.14/0.39 ~sQ0_spl|~sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f12,f15,f27])).
% 0.14/0.39 fof(f32,plain,(
% 0.14/0.39 $false|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f19,f23])).
% 0.14/0.39 fof(f33,plain,(
% 0.14/0.39 ~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f32])).
% 0.14/0.39 fof(f34,plain,(
% 0.14/0.39 $false|~sQ2_spl|sQ3_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f29,f23])).
% 0.14/0.39 fof(f35,plain,(
% 0.14/0.39 ~sQ2_spl|sQ3_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f34])).
% 0.14/0.39 fof(f36,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f21,f25,f26,f30,f33,f35])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.043624 seconds
% 0.14/0.41 % CPU time: 0.114544 seconds
% 0.14/0.41 % Total memory used: 16.418 MB
% 0.14/0.41 % Net memory used: 15.862 MB
%------------------------------------------------------------------------------