%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN733+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 03:20:26 PM UTC 2026
% Result : Theorem 0.08s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN733+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n012.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 11:13:53 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.36 % Refutation found
% 0.08/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.36 fof(f1,conjecture,(
% 0.08/0.36 ( (! [X] :(? [Y] :( p(X)& ( q(Y)| q(X) ) )))=> (? [Z] :( p(Z)& q(Z) ) )) ),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f2,negated_conjecture,(
% 0.08/0.36 ~(( (! [X] :(? [Y] :( p(X)& ( q(Y)| q(X) ) )))=> (? [Z] :( p(Z)& q(Z) ) )) )),
% 0.08/0.36 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.36 fof(f3,plain,(
% 0.08/0.36 ((![X]: ?[Y]: (p(X)&(q(Y)|q(X))))&(![Z]: (~p(Z)|~q(Z))))),
% 0.08/0.36 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.36 fof(f4,plain,(
% 0.08/0.36 ((![X]: p(X))&((?[Y]: q(Y))|(![X]: q(X))))&(![Z]: (~p(Z)|~q(Z)))),
% 0.08/0.36 inference(miniscoping,[status(thm)],[f3])).
% 0.08/0.36 fof(f5,plain,(
% 0.08/0.36 ((![X]: p(X))&(q(sK0_skl)|(![X]: q(X))))&(![Z]: (~p(Z)|~q(Z)))),
% 0.08/0.36 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl)],[f4])).
% 0.08/0.36 fof(f6,plain,(
% 0.08/0.36 ![X0]: (p(X0))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.36 fof(f7,plain,(
% 0.08/0.36 ![X0]: (q(sK0_skl)|q(X0))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.36 fof(f8,plain,(
% 0.08/0.36 ![X0]: (~p(X0)|~q(X0))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.36 fof(f9,definition,(
% 0.08/0.36 sQ0_spl <=> (q(sK0_skl))),
% 0.08/0.36 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.36 fof(f10,plain,(
% 0.08/0.36 q(sK0_skl)|~sQ0_spl),
% 0.08/0.36 inference(component_clause,[status(thm)],[f9])).
% 0.08/0.36 fof(f12,definition,(
% 0.08/0.36 ![X0]: (sQ1_spl <=> (q(X0)))),
% 0.08/0.36 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.36 fof(f13,plain,(
% 0.08/0.36 ![X0]: (q(X0)|~sQ1_spl)),
% 0.08/0.36 inference(component_clause,[status(thm)],[f12])).
% 0.08/0.36 fof(f15,plain,(
% 0.08/0.36 sQ0_spl|sQ1_spl),
% 0.08/0.36 inference(split_clause,[status(thm)],[f7,f9,f12])).
% 0.08/0.36 fof(f16,plain,(
% 0.08/0.36 $false|~sQ0_spl),
% 0.08/0.36 inference(backward_subsumption_resolution,[status(thm)],[f10,f17])).
% 0.08/0.36 fof(f17,plain,(
% 0.08/0.36 ![X0]: (~q(X0))),
% 0.08/0.36 inference(forward_subsumption_resolution,[status(thm)],[f8,f6])).
% 0.08/0.36 fof(f18,plain,(
% 0.08/0.36 ~sQ0_spl),
% 0.08/0.36 inference(contradiction_clause,[status(thm)],[f16])).
% 0.08/0.36 fof(f19,plain,(
% 0.08/0.36 $false|~sQ1_spl),
% 0.08/0.36 inference(forward_subsumption_resolution,[status(thm)],[f13,f17])).
% 0.08/0.36 fof(f20,plain,(
% 0.08/0.36 ~sQ1_spl),
% 0.08/0.36 inference(contradiction_clause,[status(thm)],[f19])).
% 0.08/0.36 fof(f21,plain,(
% 0.08/0.36 $false),
% 0.08/0.36 inference(sat_refutation,[status(thm)],[f15,f18,f20])).
% 0.08/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.049337 seconds
% 0.12/0.41 % CPU time: 0.025854 seconds
% 0.12/0.41 % Total memory used: 513.648 KB
% 0.12/0.41 % Net memory used: 495.824 KB
%------------------------------------------------------------------------------