%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN940+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 03:21:35 PM UTC 2026
% Result : Theorem 0.09s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN940+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.51 % Computer : n013.cluster.edu
% 0.09/0.51 % Model : x86_64 x86_64
% 0.09/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.51 % Memory : 8046.5625MB
% 0.09/0.51 % OS : Linux 6.8.0-71-generic
% 0.09/0.51 % CPULimit : 300
% 0.09/0.51 % WCLimit : 300
% 0.09/0.51 % DateTime : Mon Sep 21 11:30:06 UTC 2026
% 0.09/0.51 % CPUTime :
% 0.09/0.52 % Drodi V4.1.1
% 0.09/0.53 % Refutation found
% 0.09/0.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.53 fof(f1,conjecture,(
% 0.09/0.53 (! [B,C] :( (! [Z] : q(f(Z)))=> (? [X,Y] :( ( p(f(Y))=> ( p(X)& ( r(Y)=> ( r(B)& r(C) ) ) ) )& q(X) ) )) )),
% 0.09/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f2,negated_conjecture,(
% 0.09/0.53 ~((! [B,C] :( (! [Z] : q(f(Z)))=> (? [X,Y] :( ( p(f(Y))=> ( p(X)& ( r(Y)=> ( r(B)& r(C) ) ) ) )& q(X) ) )) ))),
% 0.09/0.53 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.53 fof(f3,plain,(
% 0.09/0.53 (?[B,C]: ((![Z]: q(f(Z)))&(![X,Y]: ((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X)))))),
% 0.09/0.53 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.53 fof(f4,plain,(
% 0.09/0.53 (![Z]: q(f(Z)))&(?[B,C]: ![X]: (((![Y]: p(f(Y)))&(~p(X)|((![Y]: r(Y))&(~r(B)|~r(C)))))|~q(X)))),
% 0.09/0.53 inference(miniscoping,[status(thm)],[f3])).
% 0.09/0.53 fof(f5,plain,(
% 0.09/0.53 (![Z]: q(f(Z)))&![X]: (((![Y]: p(f(Y)))&(~p(X)|((![Y]: r(Y))&(~r(sK0_skl)|~r(sK1_skl)))))|~q(X))),
% 0.09/0.53 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(B,sK0_skl),skolemize(C,sK1_skl)],[f4])).
% 0.09/0.53 fof(f6,plain,(
% 0.09/0.53 ![X0]: (q(f(X0)))),
% 0.09/0.53 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.53 fof(f7,plain,(
% 0.09/0.53 ![X0,X1]: (p(f(X0))|~q(X1))),
% 0.09/0.53 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.53 fof(f8,plain,(
% 0.09/0.53 ![X0,X1]: (~p(X0)|r(X1)|~q(X0))),
% 0.09/0.53 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.53 fof(f9,plain,(
% 0.09/0.53 ![X0]: (~p(X0)|~r(sK0_skl)|~r(sK1_skl)|~q(X0))),
% 0.09/0.53 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.53 fof(f10,definition,(
% 0.09/0.53 ![X0]: (sQ0_spl <=> (p(f(X0))))),
% 0.09/0.53 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.53 fof(f11,plain,(
% 0.09/0.53 ![X0]: (p(f(X0))|~sQ0_spl)),
% 0.09/0.53 inference(component_clause,[status(thm)],[f10])).
% 0.09/0.53 fof(f13,definition,(
% 0.09/0.53 ![X1]: (sQ1_spl <=> (~q(X1)))),
% 0.09/0.53 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.53 fof(f14,plain,(
% 0.09/0.53 ![X0]: (~q(X0)|~sQ1_spl)),
% 0.09/0.53 inference(component_clause,[status(thm)],[f13])).
% 0.09/0.53 fof(f16,plain,(
% 0.09/0.53 sQ0_spl|sQ1_spl),
% 0.09/0.53 inference(split_clause,[status(thm)],[f7,f10,f13])).
% 0.09/0.53 fof(f17,definition,(
% 0.09/0.53 ![X0]: (sQ2_spl <=> (~p(X0)|~q(X0)))),
% 0.09/0.53 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.53 fof(f18,plain,(
% 0.09/0.53 ![X0]: (~p(X0)|~q(X0)|~sQ2_spl)),
% 0.09/0.53 inference(component_clause,[status(thm)],[f17])).
% 0.09/0.53 fof(f20,definition,(
% 0.09/0.53 ![X1]: (sQ3_spl <=> (r(X1)))),
% 0.09/0.53 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.53 fof(f21,plain,(
% 0.09/0.53 ![X0]: (r(X0)|~sQ3_spl)),
% 0.09/0.53 inference(component_clause,[status(thm)],[f20])).
% 0.09/0.53 fof(f23,plain,(
% 0.09/0.53 sQ2_spl|sQ3_spl),
% 0.09/0.53 inference(split_clause,[status(thm)],[f8,f17,f20])).
% 0.09/0.53 fof(f24,definition,(
% 0.09/0.53 sQ4_spl <=> (r(sK0_skl))),
% 0.09/0.53 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.53 fof(f26,plain,(
% 0.09/0.53 ~r(sK0_skl)|sQ4_spl),
% 0.09/0.53 inference(component_clause,[status(thm)],[f24])).
% 0.09/0.53 fof(f27,definition,(
% 0.09/0.53 sQ5_spl <=> (r(sK1_skl))),
% 0.09/0.53 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.53 fof(f29,plain,(
% 0.09/0.53 ~r(sK1_skl)|sQ5_spl),
% 0.09/0.53 inference(component_clause,[status(thm)],[f27])).
% 0.09/0.53 fof(f30,plain,(
% 0.09/0.53 sQ2_spl|~sQ4_spl|~sQ5_spl),
% 0.09/0.53 inference(split_clause,[status(thm)],[f9,f17,f24,f27])).
% 0.09/0.53 fof(f31,plain,(
% 0.09/0.53 ![X0]: (~q(f(X0))|~sQ0_spl|~sQ2_spl)),
% 0.09/0.53 inference(resolution,[status(thm)],[f11,f18])).
% 0.09/0.53 fof(f32,plain,(
% 0.09/0.53 $false|~sQ0_spl|~sQ2_spl),
% 0.09/0.53 inference(forward_subsumption_resolution,[status(thm)],[f31,f6])).
% 0.09/0.53 fof(f33,plain,(
% 0.09/0.53 ~sQ0_spl|~sQ2_spl),
% 0.09/0.53 inference(contradiction_clause,[status(thm)],[f32])).
% 0.09/0.53 fof(f34,plain,(
% 0.09/0.53 $false|~sQ3_spl|sQ4_spl),
% 0.09/0.53 inference(forward_subsumption_resolution,[status(thm)],[f26,f21])).
% 0.09/0.53 fof(f35,plain,(
% 0.09/0.53 ~sQ3_spl|sQ4_spl),
% 0.09/0.53 inference(contradiction_clause,[status(thm)],[f34])).
% 0.09/0.53 fof(f36,plain,(
% 0.09/0.53 $false|~sQ1_spl),
% 0.09/0.53 inference(backward_subsumption_resolution,[status(thm)],[f6,f14])).
% 0.09/0.53 fof(f37,plain,(
% 0.09/0.53 ~sQ1_spl),
% 0.09/0.53 inference(contradiction_clause,[status(thm)],[f36])).
% 0.09/0.53 fof(f38,plain,(
% 0.09/0.53 $false|~sQ3_spl|sQ5_spl),
% 0.09/0.53 inference(backward_subsumption_resolution,[status(thm)],[f29,f21])).
% 0.09/0.53 fof(f39,plain,(
% 0.09/0.53 ~sQ3_spl|sQ5_spl),
% 0.09/0.53 inference(contradiction_clause,[status(thm)],[f38])).
% 0.09/0.53 fof(f40,plain,(
% 0.09/0.53 $false),
% 0.09/0.53 inference(sat_refutation,[status(thm)],[f16,f23,f30,f33,f35,f37,f39])).
% 0.09/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.56 % Elapsed time: 0.039979 seconds
% 0.09/0.56 % CPU time: 0.105608 seconds
% 0.09/0.56 % Total memory used: 31.105 MB
% 0.09/0.56 % Net memory used: 30.776 MB
%------------------------------------------------------------------------------