%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN382+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 03:19:31 PM UTC 2026
% Result : Theorem 0.10s 5.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN382+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n016.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 10:57:46 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.38 % Drodi V4.1.1
% 0.10/5.39 % Refutation found
% 0.10/5.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/5.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/5.39 fof(f1,conjecture,(
% 0.10/5.39 ( (! [Z] :(? [X] :( (! [Y] : big_p(X,Y))| big_q(X,Z) )))=> (! [Y] :(? [X] :( big_p(X,Y)| big_q(X,Y) ) ))) ),
% 0.10/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.39 fof(f2,negated_conjecture,(
% 0.10/5.39 ~(( (! [Z] :(? [X] :( (! [Y] : big_p(X,Y))| big_q(X,Z) )))=> (! [Y] :(? [X] :( big_p(X,Y)| big_q(X,Y) ) ))) )),
% 0.10/5.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/5.39 fof(f3,plain,(
% 0.10/5.39 ((![Z]: ?[X]: ((![Y]: big_p(X,Y))|big_q(X,Z)))&(?[Y]: ![X]: (~big_p(X,Y)&~big_q(X,Y))))),
% 0.10/5.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.10/5.39 fof(f4,plain,(
% 0.10/5.39 ((?[X]: ![Y]: big_p(X,Y))|(![Z]: ?[X]: big_q(X,Z)))&(?[Y]: ((![X]: ~big_p(X,Y))&(![X]: ~big_q(X,Y))))),
% 0.10/5.39 inference(miniscoping,[status(thm)],[f3])).
% 0.10/5.39 fof(f5,plain,(
% 0.10/5.39 (![Y]: big_p(sK0_skl,Y)|(![Z]: big_q(sK1_skl(Z),Z)))&((![X]: ~big_p(X,sK2_skl))&(![X]: ~big_q(X,sK2_skl)))),
% 0.10/5.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl(Z)),skolemize(Y,sK2_skl)],[f4])).
% 0.10/5.40 fof(f6,plain,(
% 0.10/5.40 ![X0,X1]: (big_p(sK0_skl,X0)|big_q(sK1_skl(X1),X1))),
% 0.10/5.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/5.40 fof(f7,plain,(
% 0.10/5.40 ![X0]: (~big_p(X0,sK2_skl))),
% 0.10/5.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/5.40 fof(f8,plain,(
% 0.10/5.40 ![X0]: (~big_q(X0,sK2_skl))),
% 0.10/5.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/5.40 fof(f9,definition,(
% 0.10/5.40 ![X0]: (sQ0_spl <=> (big_p(sK0_skl,X0)))),
% 0.10/5.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/5.40 fof(f10,plain,(
% 0.10/5.40 ![X0]: (big_p(sK0_skl,X0)|~sQ0_spl)),
% 0.10/5.40 inference(component_clause,[status(thm)],[f9])).
% 0.10/5.40 fof(f12,definition,(
% 0.10/5.40 ![X1]: (sQ1_spl <=> (big_q(sK1_skl(X1),X1)))),
% 0.10/5.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/5.40 fof(f13,plain,(
% 0.10/5.40 ![X0]: (big_q(sK1_skl(X0),X0)|~sQ1_spl)),
% 0.10/5.40 inference(component_clause,[status(thm)],[f12])).
% 0.10/5.40 fof(f15,plain,(
% 0.10/5.40 sQ0_spl|sQ1_spl),
% 0.10/5.40 inference(split_clause,[status(thm)],[f6,f9,f12])).
% 0.10/5.40 fof(f16,plain,(
% 0.10/5.40 $false|~sQ0_spl),
% 0.10/5.40 inference(resolution,[status(thm)],[f10,f7])).
% 0.10/5.40 fof(f17,plain,(
% 0.10/5.40 ~sQ0_spl),
% 0.10/5.40 inference(contradiction_clause,[status(thm)],[f16])).
% 0.10/5.40 fof(f18,plain,(
% 0.10/5.40 $false|~sQ1_spl),
% 0.10/5.40 inference(resolution,[status(thm)],[f13,f8])).
% 0.10/5.40 fof(f19,plain,(
% 0.10/5.40 ~sQ1_spl),
% 0.10/5.40 inference(contradiction_clause,[status(thm)],[f18])).
% 0.10/5.40 fof(f20,plain,(
% 0.10/5.40 $false),
% 0.10/5.40 inference(sat_refutation,[status(thm)],[f15,f17,f19])).
% 0.10/5.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.42 % Elapsed time: 0.037983 seconds
% 0.13/5.42 % CPU time: 0.099430 seconds
% 0.13/5.42 % Total memory used: 14.381 MB
% 0.13/5.42 % Net memory used: 13.831 MB
%------------------------------------------------------------------------------