%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN367+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 : n004.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 03:19:29 PM UTC 2026
% Result : Theorem 0.13s 5.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN367+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
% 0.08/5.37 % Computer : n004.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Mon Sep 21 10:51:58 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.38 % Drodi V4.1.1
% 0.13/5.40 % Refutation found
% 0.13/5.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/5.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/5.40 fof(f1,conjecture,(
% 0.13/5.40 ( (! [X] :( ( p& big_q(X) )| ( ~ p& big_r(X) ) ))=> ( (! [X] : big_q(X))| (! [X] : big_r(X) )) ) ),
% 0.13/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.40 fof(f2,negated_conjecture,(
% 0.13/5.40 ~(( (! [X] :( ( p& big_q(X) )| ( ~ p& big_r(X) ) ))=> ( (! [X] : big_q(X))| (! [X] : big_r(X) )) ) )),
% 0.13/5.40 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/5.40 fof(f3,plain,(
% 0.13/5.40 ((![X]: ((p&big_q(X))|(~p&big_r(X))))&((?[X]: ~big_q(X))&(?[X]: ~big_r(X))))),
% 0.13/5.40 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/5.40 fof(f4,definition,(
% 0.13/5.40 ![X]: (sP0_prd(X)<=>(p&big_q(X)))),
% 0.13/5.40 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.13/5.40 fof(f5,plain,(
% 0.13/5.40 (![X]: (sP0_prd(X)|(~p&big_r(X))))&((?[X]: ~big_q(X))&(?[X]: ~big_r(X)))),
% 0.13/5.40 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.13/5.40 fof(f6,plain,(
% 0.13/5.40 (![X]: (sP0_prd(X)|(~p&big_r(X))))&(~big_q(sK0_skl)&~big_r(sK1_skl))),
% 0.13/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl)],[f5])).
% 0.13/5.40 fof(f7,plain,(
% 0.13/5.40 ![X0]: (sP0_prd(X0)|~p)),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/5.40 fof(f8,plain,(
% 0.13/5.40 ![X0]: (sP0_prd(X0)|big_r(X0))),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/5.40 fof(f9,plain,(
% 0.13/5.40 ~big_q(sK0_skl)),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/5.40 fof(f10,plain,(
% 0.13/5.40 ~big_r(sK1_skl)),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/5.40 fof(f11,plain,(
% 0.13/5.40 ![X]: ((~sP0_prd(X)|(p&big_q(X)))&(sP0_prd(X)|(~p|~big_q(X))))),
% 0.13/5.40 inference(NNF_transformation,[status(thm)],[f4])).
% 0.13/5.40 fof(f12,plain,(
% 0.13/5.40 (![X]: (~sP0_prd(X)|(p&big_q(X))))&(![X]: (sP0_prd(X)|(~p|~big_q(X))))),
% 0.13/5.40 inference(miniscoping,[status(thm)],[f11])).
% 0.13/5.40 fof(f13,plain,(
% 0.13/5.40 ![X0]: (~sP0_prd(X0)|p)),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/5.40 fof(f14,plain,(
% 0.13/5.40 ![X0]: (~sP0_prd(X0)|big_q(X0))),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/5.40 fof(f16,definition,(
% 0.13/5.40 ![X0]: (sQ0_spl <=> (sP0_prd(X0)))),
% 0.13/5.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/5.40 fof(f17,plain,(
% 0.13/5.40 ![X0]: (sP0_prd(X0)|~sQ0_spl)),
% 0.13/5.40 inference(component_clause,[status(thm)],[f16])).
% 0.13/5.40 fof(f19,definition,(
% 0.13/5.40 sQ1_spl <=> (p)),
% 0.13/5.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/5.40 fof(f22,plain,(
% 0.13/5.40 sQ0_spl|~sQ1_spl),
% 0.13/5.40 inference(split_clause,[status(thm)],[f7,f16,f19])).
% 0.13/5.40 fof(f23,definition,(
% 0.13/5.40 ![X0]: (sQ2_spl <=> (~sP0_prd(X0)))),
% 0.13/5.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/5.40 fof(f24,plain,(
% 0.13/5.40 ![X0]: (~sP0_prd(X0)|~sQ2_spl)),
% 0.13/5.40 inference(component_clause,[status(thm)],[f23])).
% 0.13/5.40 fof(f26,plain,(
% 0.13/5.40 sQ2_spl|sQ1_spl),
% 0.13/5.40 inference(split_clause,[status(thm)],[f13,f23,f19])).
% 0.13/5.40 fof(f33,plain,(
% 0.13/5.40 $false|~sQ0_spl),
% 0.13/5.40 inference(backward_subsumption_resolution,[status(thm)],[f9,f34])).
% 0.13/5.40 fof(f34,plain,(
% 0.13/5.40 ![X0]: (big_q(X0)|~sQ0_spl)),
% 0.13/5.40 inference(forward_subsumption_resolution,[status(thm)],[f14,f17])).
% 0.13/5.40 fof(f35,plain,(
% 0.13/5.40 ~sQ0_spl),
% 0.13/5.40 inference(contradiction_clause,[status(thm)],[f33])).
% 0.13/5.40 fof(f36,plain,(
% 0.13/5.40 $false|~sQ2_spl),
% 0.13/5.40 inference(backward_subsumption_resolution,[status(thm)],[f10,f37])).
% 0.13/5.40 fof(f37,plain,(
% 0.13/5.40 ![X0]: (big_r(X0)|~sQ2_spl)),
% 0.13/5.40 inference(forward_subsumption_resolution,[status(thm)],[f8,f24])).
% 0.13/5.40 fof(f38,plain,(
% 0.13/5.40 ~sQ2_spl),
% 0.13/5.40 inference(contradiction_clause,[status(thm)],[f36])).
% 0.13/5.40 fof(f39,plain,(
% 0.13/5.40 $false),
% 0.13/5.40 inference(sat_refutation,[status(thm)],[f22,f26,f35,f38])).
% 0.13/5.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.41 % Elapsed time: 0.038417 seconds
% 0.13/5.41 % CPU time: 0.097784 seconds
% 0.13/5.41 % Total memory used: 13.950 MB
% 0.13/5.41 % Net memory used: 13.460 MB
%------------------------------------------------------------------------------