%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN063-1 : 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 : n007.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 03:18:51 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN063-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.56 % Computer : n007.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.56 % CPULimit : 300
% 0.10/0.56 % WCLimit : 300
% 0.10/0.56 % DateTime : Mon Sep 21 10:39:36 UTC 2026
% 0.10/0.56 % CPUTime :
% 0.10/0.57 % Drodi V4.1.1
% 0.10/0.59 % Refutation found
% 0.10/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.59 fof(f1,negated_conjecture,(
% 0.10/0.59 big_p(a) ),
% 0.10/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f2,negated_conjecture,(
% 0.10/0.59 (![X,Y]: (( ~ big_p(a)| big_p(X)| big_p(c)| big_p(Y) ) ))),
% 0.10/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f4,negated_conjecture,(
% 0.10/0.59 ~ big_p(c) ),
% 0.10/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f8,plain,(
% 0.10/0.59 big_p(a)),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.59 fof(f9,plain,(
% 0.10/0.59 ((~big_p(a)|(![X]: big_p(X)))|big_p(c))|(![Y]: big_p(Y))),
% 0.10/0.59 inference(miniscoping,[status(thm)],[f2])).
% 0.10/0.59 fof(f10,plain,(
% 0.10/0.59 ![X0,X1]: (~big_p(a)|big_p(X0)|big_p(c)|big_p(X1))),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.59 fof(f12,plain,(
% 0.10/0.59 ~big_p(c)),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.59 fof(f18,definition,(
% 0.10/0.59 sQ0_spl <=> (big_p(a))),
% 0.10/0.59 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.59 fof(f20,plain,(
% 0.10/0.59 ~big_p(a)|sQ0_spl),
% 0.10/0.59 inference(component_clause,[status(thm)],[f18])).
% 0.10/0.59 fof(f21,definition,(
% 0.10/0.59 ![X0]: (sQ1_spl <=> (big_p(X0)))),
% 0.10/0.59 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.59 fof(f22,plain,(
% 0.10/0.59 ![X0]: (big_p(X0)|~sQ1_spl)),
% 0.10/0.59 inference(component_clause,[status(thm)],[f21])).
% 0.10/0.59 fof(f24,definition,(
% 0.10/0.59 sQ2_spl <=> (big_p(c))),
% 0.10/0.59 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.59 fof(f25,plain,(
% 0.10/0.59 big_p(c)|~sQ2_spl),
% 0.10/0.59 inference(component_clause,[status(thm)],[f24])).
% 0.10/0.59 fof(f27,plain,(
% 0.10/0.59 ~sQ0_spl|sQ1_spl|sQ2_spl),
% 0.10/0.59 inference(split_clause,[status(thm)],[f10,f18,f21,f24])).
% 0.10/0.59 fof(f41,plain,(
% 0.10/0.59 $false|~sQ1_spl),
% 0.10/0.59 inference(forward_subsumption_resolution,[status(thm)],[f12,f22])).
% 0.10/0.59 fof(f42,plain,(
% 0.10/0.59 ~sQ1_spl),
% 0.10/0.59 inference(contradiction_clause,[status(thm)],[f41])).
% 0.10/0.59 fof(f43,plain,(
% 0.10/0.59 $false|~sQ2_spl),
% 0.10/0.59 inference(forward_subsumption_resolution,[status(thm)],[f12,f25])).
% 0.10/0.59 fof(f44,plain,(
% 0.10/0.59 ~sQ2_spl),
% 0.10/0.59 inference(contradiction_clause,[status(thm)],[f43])).
% 0.10/0.59 fof(f45,plain,(
% 0.10/0.59 $false|sQ0_spl),
% 0.10/0.59 inference(forward_subsumption_resolution,[status(thm)],[f8,f20])).
% 0.10/0.59 fof(f46,plain,(
% 0.10/0.59 sQ0_spl),
% 0.10/0.59 inference(contradiction_clause,[status(thm)],[f45])).
% 0.10/0.59 fof(f47,plain,(
% 0.10/0.59 $false),
% 0.10/0.59 inference(sat_refutation,[status(thm)],[f27,f42,f44,f46])).
% 0.10/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.62 % Elapsed time: 0.048557 seconds
% 0.15/0.62 % CPU time: 0.110640 seconds
% 0.15/0.62 % Total memory used: 10.884 MB
% 0.15/0.62 % Net memory used: 10.524 MB
%------------------------------------------------------------------------------