%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN343-1 : 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 : n001.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 03:19:25 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 : SYN343-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n001.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 10:56:14 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % 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 (![Y1]: (( f(a,Y1)| f(a,a) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f3,negated_conjecture,(
% 0.12/0.37 (![Y1,Y2]: (( ~ f(a,a)| ~ f(Y1,Y2) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f4,plain,(
% 0.12/0.37 (![Y1]: f(a,Y1))|f(a,a)),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f1])).
% 0.12/0.37 fof(f5,plain,(
% 0.12/0.37 ![X0]: (f(a,X0)|f(a,a))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.37 fof(f8,plain,(
% 0.12/0.37 ~f(a,a)|(![Y1,Y2]: ~f(Y1,Y2))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f3])).
% 0.12/0.37 fof(f9,plain,(
% 0.12/0.37 ![X0,X1]: (~f(a,a)|~f(X0,X1))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.37 fof(f10,definition,(
% 0.12/0.37 ![X0]: (sQ0_spl <=> (f(a,X0)))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f11,plain,(
% 0.12/0.37 ![X0]: (f(a,X0)|~sQ0_spl)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f10])).
% 0.12/0.37 fof(f13,definition,(
% 0.12/0.37 sQ1_spl <=> (f(a,a))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f14,plain,(
% 0.12/0.37 f(a,a)|~sQ1_spl),
% 0.12/0.37 inference(component_clause,[status(thm)],[f13])).
% 0.12/0.37 fof(f15,plain,(
% 0.12/0.37 ~f(a,a)|sQ1_spl),
% 0.12/0.37 inference(component_clause,[status(thm)],[f13])).
% 0.12/0.37 fof(f16,plain,(
% 0.12/0.37 sQ0_spl|sQ1_spl),
% 0.12/0.37 inference(split_clause,[status(thm)],[f5,f10,f13])).
% 0.12/0.37 fof(f21,definition,(
% 0.12/0.37 ![X0,X1]: (sQ3_spl <=> (~f(X0,X1)))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f22,plain,(
% 0.12/0.37 ![X0,X1]: (~f(X0,X1)|~sQ3_spl)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f21])).
% 0.12/0.37 fof(f24,plain,(
% 0.12/0.37 ~sQ1_spl|sQ3_spl),
% 0.12/0.37 inference(split_clause,[status(thm)],[f9,f13,f21])).
% 0.12/0.37 fof(f25,plain,(
% 0.12/0.37 $false|~sQ0_spl|sQ1_spl),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f15,f11])).
% 0.12/0.37 fof(f26,plain,(
% 0.12/0.37 ~sQ0_spl|sQ1_spl),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f25])).
% 0.12/0.37 fof(f27,plain,(
% 0.12/0.37 $false|~sQ3_spl|~sQ1_spl),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f14,f22])).
% 0.12/0.37 fof(f28,plain,(
% 0.12/0.37 ~sQ3_spl|~sQ1_spl),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f27])).
% 0.12/0.37 fof(f29,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(sat_refutation,[status(thm)],[f16,f24,f26,f28])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.042953 seconds
% 0.12/0.39 % CPU time: 0.117906 seconds
% 0.12/0.39 % Total memory used: 15.887 MB
% 0.12/0.39 % Net memory used: 15.295 MB
%------------------------------------------------------------------------------