%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN970+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 : 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 03:21:38 PM UTC 2026
% Result : Theorem 0.08s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN970+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
% 0.08/0.33 % Computer : n018.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Mon Sep 21 11:33:28 UTC 2026
% 0.08/0.33 % CPUTime :
% 0.08/0.34 % Drodi V4.1.1
% 0.08/0.35 % Refutation found
% 0.08/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.35 fof(f1,conjecture,(
% 0.08/0.35 (! [A,B] :(? [X,Y] :( ( p(X)=> r(Y) )=> ( p(A)=> r(B) ) ) ))),
% 0.08/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.35 fof(f2,negated_conjecture,(
% 0.08/0.35 ~((! [A,B] :(? [X,Y] :( ( p(X)=> r(Y) )=> ( p(A)=> r(B) ) ) )))),
% 0.08/0.35 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.35 fof(f3,plain,(
% 0.08/0.35 (?[A,B]: ![X,Y]: ((~p(X)|r(Y))&(p(A)&~r(B))))),
% 0.08/0.35 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.35 fof(f4,plain,(
% 0.08/0.35 ((![X]: ~p(X))|(![Y]: r(Y)))&((?[A]: p(A))&(?[B]: ~r(B)))),
% 0.08/0.35 inference(miniscoping,[status(thm)],[f3])).
% 0.08/0.35 fof(f5,plain,(
% 0.08/0.35 ((![X]: ~p(X))|(![Y]: r(Y)))&(p(sK0_skl)&~r(sK1_skl))),
% 0.08/0.35 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl)],[f4])).
% 0.08/0.35 fof(f6,plain,(
% 0.08/0.35 ![X0,X1]: (~p(X0)|r(X1))),
% 0.08/0.35 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.35 fof(f7,plain,(
% 0.08/0.35 p(sK0_skl)),
% 0.08/0.35 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.35 fof(f8,plain,(
% 0.08/0.35 ~r(sK1_skl)),
% 0.08/0.35 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.35 fof(f9,definition,(
% 0.08/0.35 ![X0]: (sQ0_spl <=> (~p(X0)))),
% 0.08/0.35 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.35 fof(f10,plain,(
% 0.08/0.35 ![X0]: (~p(X0)|~sQ0_spl)),
% 0.08/0.35 inference(component_clause,[status(thm)],[f9])).
% 0.08/0.35 fof(f12,definition,(
% 0.08/0.35 ![X1]: (sQ1_spl <=> (r(X1)))),
% 0.08/0.35 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.35 fof(f13,plain,(
% 0.08/0.35 ![X0]: (r(X0)|~sQ1_spl)),
% 0.08/0.35 inference(component_clause,[status(thm)],[f12])).
% 0.08/0.35 fof(f15,plain,(
% 0.08/0.35 sQ0_spl|sQ1_spl),
% 0.08/0.35 inference(split_clause,[status(thm)],[f6,f9,f12])).
% 0.08/0.35 fof(f16,plain,(
% 0.08/0.35 $false|~sQ0_spl),
% 0.08/0.35 inference(backward_subsumption_resolution,[status(thm)],[f7,f10])).
% 0.08/0.35 fof(f17,plain,(
% 0.08/0.35 ~sQ0_spl),
% 0.08/0.35 inference(contradiction_clause,[status(thm)],[f16])).
% 0.08/0.35 fof(f18,plain,(
% 0.08/0.35 $false|~sQ1_spl),
% 0.08/0.35 inference(backward_subsumption_resolution,[status(thm)],[f8,f13])).
% 0.08/0.35 fof(f19,plain,(
% 0.08/0.35 ~sQ1_spl),
% 0.08/0.35 inference(contradiction_clause,[status(thm)],[f18])).
% 0.08/0.35 fof(f20,plain,(
% 0.08/0.35 $false),
% 0.08/0.35 inference(sat_refutation,[status(thm)],[f15,f17,f19])).
% 0.08/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.38 % Elapsed time: 0.039014 seconds
% 0.12/0.38 % CPU time: 0.124564 seconds
% 0.12/0.38 % Total memory used: 43.136 MB
% 0.12/0.38 % Net memory used: 42.613 MB
%------------------------------------------------------------------------------