%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN722+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 : n018.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 03:20:25 PM UTC 2026
% Result : Theorem 0.02s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN722+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
% 0.08/0.55 % Computer : n018.cluster.edu
% 0.08/0.55 % Model : x86_64 x86_64
% 0.08/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.55 % Memory : 8046.5625MB
% 0.08/0.55 % OS : Linux 6.8.0-71-generic
% 0.08/0.55 % CPULimit : 300
% 0.08/0.55 % WCLimit : 300
% 0.08/0.55 % DateTime : Mon Sep 21 11:15:15 UTC 2026
% 0.02/0.56 % CPUTime :
% 0.02/0.56 % Drodi V4.1.1
% 0.02/0.57 % Refutation found
% 0.02/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.02/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.57 fof(f1,conjecture,(
% 0.02/0.57 ~ ( (! [Z] :( ( p(Z)| r(Z) )& q(Z) ))& (! [X] :(? [Y] :( p(X)| ~ q(X)| ~ q(Y)| ~ q(c)| ~ q(d) )))& ( ~ p(a)| ~ p(b) ) ) ),
% 0.02/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.57 fof(f2,negated_conjecture,(
% 0.02/0.57 ~(~ ( (! [Z] :( ( p(Z)| r(Z) )& q(Z) ))& (! [X] :(? [Y] :( p(X)| ~ q(X)| ~ q(Y)| ~ q(c)| ~ q(d) )))& ( ~ p(a)| ~ p(b) ) ) )),
% 0.02/0.57 inference(negated_conjecture,[status(cth)],[f1])).
% 0.02/0.57 fof(f3,plain,(
% 0.02/0.57 (((![Z]: (p(Z)|r(Z)))&(![Z]: q(Z)))&((((![X]: (p(X)|~q(X)))|(?[Y]: ~q(Y)))|~q(c))|~q(d)))&(~p(a)|~p(b))),
% 0.02/0.57 inference(miniscoping,[status(thm)],[f2])).
% 0.02/0.57 fof(f4,plain,(
% 0.02/0.57 (((![Z]: (p(Z)|r(Z)))&(![Z]: q(Z)))&((((![X]: (p(X)|~q(X)))|~q(sK0_skl))|~q(c))|~q(d)))&(~p(a)|~p(b))),
% 0.02/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl)],[f3])).
% 0.02/0.57 fof(f6,plain,(
% 0.02/0.57 ![X0]: (q(X0))),
% 0.02/0.57 inference(cnf_transformation,[status(thm)],[f4])).
% 0.02/0.57 fof(f7,plain,(
% 0.02/0.57 ![X0]: (p(X0)|~q(X0)|~q(sK0_skl)|~q(c)|~q(d))),
% 0.02/0.57 inference(cnf_transformation,[status(thm)],[f4])).
% 0.02/0.57 fof(f8,plain,(
% 0.02/0.57 ~p(a)|~p(b)),
% 0.02/0.57 inference(cnf_transformation,[status(thm)],[f4])).
% 0.02/0.57 fof(f9,definition,(
% 0.02/0.57 ![X0]: (sQ0_spl <=> (p(X0)|~q(X0)))),
% 0.02/0.57 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.02/0.57 fof(f10,plain,(
% 0.02/0.57 ![X0]: (p(X0)|~q(X0)|~sQ0_spl)),
% 0.02/0.57 inference(component_clause,[status(thm)],[f9])).
% 0.02/0.57 fof(f12,definition,(
% 0.02/0.57 sQ1_spl <=> (q(sK0_skl))),
% 0.02/0.57 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.02/0.57 fof(f14,plain,(
% 0.02/0.57 ~q(sK0_skl)|sQ1_spl),
% 0.02/0.57 inference(component_clause,[status(thm)],[f12])).
% 0.02/0.57 fof(f15,definition,(
% 0.02/0.57 sQ2_spl <=> (q(c))),
% 0.02/0.57 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.02/0.57 fof(f17,plain,(
% 0.02/0.57 ~q(c)|sQ2_spl),
% 0.02/0.57 inference(component_clause,[status(thm)],[f15])).
% 0.02/0.57 fof(f18,definition,(
% 0.02/0.57 sQ3_spl <=> (q(d))),
% 0.02/0.57 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.02/0.57 fof(f20,plain,(
% 0.02/0.57 ~q(d)|sQ3_spl),
% 0.02/0.57 inference(component_clause,[status(thm)],[f18])).
% 0.02/0.57 fof(f21,plain,(
% 0.02/0.57 sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.02/0.57 inference(split_clause,[status(thm)],[f7,f9,f12,f15,f18])).
% 0.02/0.57 fof(f22,definition,(
% 0.02/0.57 sQ4_spl <=> (p(a))),
% 0.02/0.57 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.02/0.57 fof(f24,plain,(
% 0.02/0.57 ~p(a)|sQ4_spl),
% 0.02/0.57 inference(component_clause,[status(thm)],[f22])).
% 0.02/0.57 fof(f25,definition,(
% 0.02/0.57 sQ5_spl <=> (p(b))),
% 0.02/0.57 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.02/0.57 fof(f27,plain,(
% 0.02/0.57 ~p(b)|sQ5_spl),
% 0.02/0.57 inference(component_clause,[status(thm)],[f25])).
% 0.02/0.57 fof(f28,plain,(
% 0.02/0.57 ~sQ4_spl|~sQ5_spl),
% 0.02/0.57 inference(split_clause,[status(thm)],[f8,f22,f25])).
% 0.02/0.57 fof(f29,plain,(
% 0.02/0.57 $false|sQ3_spl),
% 0.02/0.57 inference(forward_subsumption_resolution,[status(thm)],[f20,f6])).
% 0.02/0.57 fof(f30,plain,(
% 0.02/0.57 sQ3_spl),
% 0.02/0.57 inference(contradiction_clause,[status(thm)],[f29])).
% 0.02/0.57 fof(f31,plain,(
% 0.02/0.57 $false|sQ2_spl),
% 0.02/0.57 inference(forward_subsumption_resolution,[status(thm)],[f17,f6])).
% 0.02/0.57 fof(f32,plain,(
% 0.02/0.57 sQ2_spl),
% 0.02/0.57 inference(contradiction_clause,[status(thm)],[f31])).
% 0.02/0.57 fof(f33,plain,(
% 0.02/0.57 ![X0]: (p(X0)|~sQ0_spl)),
% 0.02/0.57 inference(forward_subsumption_resolution,[status(thm)],[f10,f6])).
% 0.02/0.57 fof(f34,plain,(
% 0.02/0.57 $false|~sQ0_spl|sQ4_spl),
% 0.02/0.57 inference(backward_subsumption_resolution,[status(thm)],[f24,f33])).
% 0.02/0.57 fof(f35,plain,(
% 0.02/0.57 ~sQ0_spl|sQ4_spl),
% 0.02/0.57 inference(contradiction_clause,[status(thm)],[f34])).
% 0.02/0.57 fof(f36,plain,(
% 0.02/0.57 $false|sQ1_spl),
% 0.02/0.57 inference(forward_subsumption_resolution,[status(thm)],[f14,f6])).
% 0.02/0.57 fof(f37,plain,(
% 0.02/0.57 sQ1_spl),
% 0.02/0.57 inference(contradiction_clause,[status(thm)],[f36])).
% 0.02/0.57 fof(f38,plain,(
% 0.02/0.57 $false|~sQ0_spl|sQ5_spl),
% 0.02/0.57 inference(forward_subsumption_resolution,[status(thm)],[f27,f33])).
% 0.02/0.57 fof(f39,plain,(
% 0.02/0.57 ~sQ0_spl|sQ5_spl),
% 0.02/0.57 inference(contradiction_clause,[status(thm)],[f38])).
% 0.02/0.57 fof(f40,plain,(
% 0.02/0.57 $false),
% 0.02/0.57 inference(sat_refutation,[status(thm)],[f21,f28,f30,f32,f35,f37,f39])).
% 0.02/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/0.58 % Elapsed time: 0.021273 seconds
% 0.02/0.58 % CPU time: 0.028121 seconds
% 0.02/0.58 % Total memory used: 1.032 MB
% 0.02/0.58 % Net memory used: 1.002 MB
%------------------------------------------------------------------------------