%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN939+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 : n014.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 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN939+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
% 0.08/0.35 % Computer : n014.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 11:30:35 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f1,conjecture,(
% 0.12/0.38 (! [C,B] :( (! [Z] : q(f(Z)))=> (? [X,Y] :( ( p(f(Y))=> p(X) )& ( r(Y)=> ( r(B)& r(C) ) )& q(X) ) )) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f2,negated_conjecture,(
% 0.12/0.38 ~((! [C,B] :( (! [Z] : q(f(Z)))=> (? [X,Y] :( ( p(f(Y))=> p(X) )& ( r(Y)=> ( r(B)& r(C) ) )& q(X) ) )) ))),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.12/0.38 fof(f3,plain,(
% 0.12/0.38 (?[C,B]: ((![Z]: q(f(Z)))&(![X,Y]: (((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X)))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.12/0.38 fof(f4,definition,(
% 0.12/0.38 ![X,Y]: (sP0_prd(Y,X)<=>(p(f(Y))&~p(X)))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.12/0.38 fof(f5,plain,(
% 0.12/0.38 ?[C,B]: ((![Z]: q(f(Z)))&(![X,Y]: ((sP0_prd(Y,X)|(r(Y)&(~r(B)|~r(C))))|~q(X))))),
% 0.12/0.38 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.12/0.38 fof(f6,plain,(
% 0.12/0.38 (![Z]: q(f(Z)))&(?[C,B]: ![X]: ((![Y]: (sP0_prd(Y,X)|(r(Y)&(~r(B)|~r(C)))))|~q(X)))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f5])).
% 0.12/0.38 fof(f7,plain,(
% 0.12/0.38 (![Z]: q(f(Z)))&![X]: ((![Y]: (sP0_prd(Y,X)|(r(Y)&(~r(sK1_skl)|~r(sK0_skl)))))|~q(X))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(C,sK0_skl),skolemize(B,sK1_skl)],[f6])).
% 0.12/0.38 fof(f8,plain,(
% 0.12/0.38 ![X0]: (q(f(X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.38 fof(f9,plain,(
% 0.12/0.38 ![X0,X1]: (sP0_prd(X0,X1)|r(X0)|~q(X1))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.38 fof(f10,plain,(
% 0.12/0.38 ![X0,X1]: (sP0_prd(X0,X1)|~r(sK1_skl)|~r(sK0_skl)|~q(X1))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.38 fof(f11,plain,(
% 0.12/0.38 ![X,Y]: ((~sP0_prd(Y,X)|(p(f(Y))&~p(X)))&(sP0_prd(Y,X)|(~p(f(Y))|p(X))))),
% 0.12/0.38 inference(NNF_transformation,[status(thm)],[f4])).
% 0.12/0.38 fof(f12,plain,(
% 0.12/0.38 (![X,Y]: (~sP0_prd(Y,X)|(p(f(Y))&~p(X))))&(![X,Y]: (sP0_prd(Y,X)|(~p(f(Y))|p(X))))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f11])).
% 0.12/0.38 fof(f13,plain,(
% 0.12/0.38 ![X0,X1]: (~sP0_prd(X0,X1)|p(f(X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.38 fof(f14,plain,(
% 0.12/0.38 ![X0,X1]: (~sP0_prd(X0,X1)|~p(X1))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.38 fof(f16,definition,(
% 0.12/0.38 ![X0,X1]: (sQ0_spl <=> (sP0_prd(X0,X1)|~q(X1)))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f17,plain,(
% 0.12/0.38 ![X0,X1]: (sP0_prd(X0,X1)|~q(X1)|~sQ0_spl)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f16])).
% 0.12/0.38 fof(f19,definition,(
% 0.12/0.38 sQ1_spl <=> (r(sK1_skl))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f21,plain,(
% 0.12/0.38 ~r(sK1_skl)|sQ1_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f19])).
% 0.12/0.38 fof(f22,definition,(
% 0.12/0.38 sQ2_spl <=> (r(sK0_skl))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f24,plain,(
% 0.12/0.38 ~r(sK0_skl)|sQ2_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f22])).
% 0.12/0.38 fof(f25,plain,(
% 0.12/0.38 sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f10,f16,f19,f22])).
% 0.12/0.38 fof(f26,plain,(
% 0.12/0.38 ![X0,X1]: (sP0_prd(X0,f(X1))|r(X0))),
% 0.12/0.38 inference(resolution,[status(thm)],[f9,f8])).
% 0.12/0.38 fof(f27,plain,(
% 0.12/0.38 ![X0,X1]: (r(X0)|~p(f(X1)))),
% 0.12/0.38 inference(resolution,[status(thm)],[f26,f14])).
% 0.12/0.38 fof(f28,plain,(
% 0.12/0.38 ![X0]: (r(X0)|p(f(X0)))),
% 0.12/0.38 inference(resolution,[status(thm)],[f26,f13])).
% 0.12/0.38 fof(f29,definition,(
% 0.12/0.38 ![X0]: (sQ3_spl <=> (r(X0)))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f30,plain,(
% 0.12/0.38 ![X0]: (r(X0)|~sQ3_spl)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f29])).
% 0.12/0.38 fof(f32,definition,(
% 0.12/0.38 ![X1]: (sQ4_spl <=> (~p(f(X1))))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f33,plain,(
% 0.12/0.38 ![X0]: (~p(f(X0))|~sQ4_spl)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f32])).
% 0.12/0.38 fof(f35,plain,(
% 0.12/0.38 sQ3_spl|sQ4_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f27,f29,f32])).
% 0.12/0.38 fof(f36,plain,(
% 0.12/0.38 $false|~sQ3_spl|sQ2_spl),
% 0.12/0.38 inference(backward_subsumption_resolution,[status(thm)],[f24,f30])).
% 0.12/0.38 fof(f37,plain,(
% 0.12/0.38 ~sQ3_spl|sQ2_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f36])).
% 0.12/0.38 fof(f38,plain,(
% 0.12/0.38 ![X0,X1]: (~sP0_prd(X0,X1)|~sQ4_spl)),
% 0.12/0.38 inference(backward_subsumption_resolution,[status(thm)],[f13,f33])).
% 0.12/0.38 fof(f40,plain,(
% 0.12/0.38 ![X0]: (r(X0)|~sQ4_spl)),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f28,f33])).
% 0.12/0.38 fof(f42,plain,(
% 0.12/0.38 ![X0,X1]: (sP0_prd(X0,f(X1))|~sQ0_spl)),
% 0.12/0.38 inference(resolution,[status(thm)],[f17,f8])).
% 0.12/0.38 fof(f44,plain,(
% 0.12/0.38 ![X0]: (~p(f(X0))|~sQ0_spl)),
% 0.12/0.38 inference(resolution,[status(thm)],[f42,f14])).
% 0.12/0.38 fof(f45,plain,(
% 0.12/0.38 sQ4_spl|~sQ0_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f44,f32,f16])).
% 0.12/0.38 fof(f46,plain,(
% 0.12/0.38 sQ3_spl|~sQ4_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f40,f29,f32])).
% 0.12/0.38 fof(f48,plain,(
% 0.12/0.38 $false|~sQ4_spl|~sQ0_spl),
% 0.12/0.38 inference(backward_subsumption_resolution,[status(thm)],[f42,f38])).
% 0.12/0.38 fof(f49,plain,(
% 0.12/0.38 ~sQ4_spl|~sQ0_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f48])).
% 0.12/0.38 fof(f68,plain,(
% 0.12/0.38 $false|~sQ3_spl|sQ1_spl),
% 0.12/0.38 inference(backward_subsumption_resolution,[status(thm)],[f21,f30])).
% 0.12/0.38 fof(f69,plain,(
% 0.12/0.38 ~sQ3_spl|sQ1_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f68])).
% 0.12/0.38 fof(f70,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(sat_refutation,[status(thm)],[f25,f35,f37,f45,f46,f49,f69])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.032723 seconds
% 0.12/0.39 % CPU time: 0.077234 seconds
% 0.12/0.39 % Total memory used: 9.850 MB
% 0.12/0.39 % Net memory used: 9.565 MB
%------------------------------------------------------------------------------