%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN954+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 03:21:36 PM UTC 2026
% Result : Theorem 0.10s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN954+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 11:30:58 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.38 fof(f1,conjecture,(
% 0.10/0.38 (! [A,B] :( (! [Z] :( q(Z)=> p(Z) ))=> (? [X] :( ( p(X)=> p(A) )& ( q(X)=> p(B) ) ) )) )),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f2,negated_conjecture,(
% 0.10/0.38 ~((! [A,B] :( (! [Z] :( q(Z)=> p(Z) ))=> (? [X] :( ( p(X)=> p(A) )& ( q(X)=> p(B) ) ) )) ))),
% 0.10/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.38 fof(f3,plain,(
% 0.10/0.38 (?[A,B]: ((![Z]: (~q(Z)|p(Z)))&(![X]: ((p(X)&~p(A))|(q(X)&~p(B))))))),
% 0.10/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.10/0.38 fof(f4,definition,(
% 0.10/0.38 ![A,X]: (sP0_prd(X,A)<=>(p(X)&~p(A)))),
% 0.10/0.38 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.10/0.38 fof(f5,plain,(
% 0.10/0.38 ?[A,B]: ((![Z]: (~q(Z)|p(Z)))&(![X]: (sP0_prd(X,A)|(q(X)&~p(B)))))),
% 0.10/0.38 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.10/0.38 fof(f6,plain,(
% 0.10/0.38 (![Z]: (~q(Z)|p(Z)))&(?[A,B]: ![X]: (sP0_prd(X,A)|(q(X)&~p(B))))),
% 0.10/0.38 inference(miniscoping,[status(thm)],[f5])).
% 0.10/0.38 fof(f7,plain,(
% 0.10/0.39 (![Z]: (~q(Z)|p(Z)))&![X]: (sP0_prd(X,sK0_skl)|(q(X)&~p(sK1_skl)))),
% 0.10/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl)],[f6])).
% 0.10/0.39 fof(f8,plain,(
% 0.10/0.39 ![X0]: (~q(X0)|p(X0))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.39 fof(f9,plain,(
% 0.10/0.39 ![X0]: (sP0_prd(X0,sK0_skl)|q(X0))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.39 fof(f10,plain,(
% 0.10/0.39 ![X0]: (sP0_prd(X0,sK0_skl)|~p(sK1_skl))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.39 fof(f11,plain,(
% 0.10/0.39 ![A,X]: ((~sP0_prd(X,A)|(p(X)&~p(A)))&(sP0_prd(X,A)|(~p(X)|p(A))))),
% 0.10/0.39 inference(NNF_transformation,[status(thm)],[f4])).
% 0.10/0.39 fof(f12,plain,(
% 0.10/0.39 (![A,X]: (~sP0_prd(X,A)|(p(X)&~p(A))))&(![A,X]: (sP0_prd(X,A)|(~p(X)|p(A))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f11])).
% 0.10/0.39 fof(f13,plain,(
% 0.10/0.39 ![X0,X1]: (~sP0_prd(X0,X1)|p(X0))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.39 fof(f14,plain,(
% 0.10/0.39 ![X0,X1]: (~sP0_prd(X0,X1)|~p(X1))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.39 fof(f16,definition,(
% 0.10/0.39 ![X0]: (sQ0_spl <=> (sP0_prd(X0,sK0_skl)))),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f17,plain,(
% 0.10/0.39 ![X0]: (sP0_prd(X0,sK0_skl)|~sQ0_spl)),
% 0.10/0.39 inference(component_clause,[status(thm)],[f16])).
% 0.10/0.39 fof(f19,definition,(
% 0.10/0.39 sQ1_spl <=> (p(sK1_skl))),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f21,plain,(
% 0.10/0.39 ~p(sK1_skl)|sQ1_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f19])).
% 0.10/0.39 fof(f22,plain,(
% 0.10/0.39 sQ0_spl|~sQ1_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f10,f16,f19])).
% 0.10/0.39 fof(f23,plain,(
% 0.10/0.39 ![X0]: (p(X0)|~sQ0_spl)),
% 0.10/0.39 inference(resolution,[status(thm)],[f13,f17])).
% 0.10/0.39 fof(f24,plain,(
% 0.10/0.39 $false|~sQ0_spl),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f17,f25])).
% 0.10/0.39 fof(f25,plain,(
% 0.10/0.39 ![X0,X1]: (~sP0_prd(X0,X1)|~sQ0_spl)),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f14,f23])).
% 0.10/0.39 fof(f26,plain,(
% 0.10/0.39 ~sQ0_spl),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f24])).
% 0.10/0.39 fof(f27,plain,(
% 0.10/0.39 ![X0]: (q(X0)|p(X0))),
% 0.10/0.39 inference(resolution,[status(thm)],[f9,f13])).
% 0.10/0.39 fof(f28,plain,(
% 0.10/0.39 ![X0]: (p(X0))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f27,f8])).
% 0.10/0.39 fof(f29,plain,(
% 0.10/0.39 $false|sQ1_spl),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f21,f28])).
% 0.10/0.39 fof(f31,plain,(
% 0.10/0.39 sQ1_spl),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f29])).
% 0.10/0.39 fof(f32,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(sat_refutation,[status(thm)],[f22,f26,f31])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.40 % Elapsed time: 0.025566 seconds
% 0.10/0.40 % CPU time: 0.034663 seconds
% 0.10/0.40 % Total memory used: 1.033 MB
% 0.10/0.40 % Net memory used: 1.002 MB
%------------------------------------------------------------------------------