%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN921+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 : n006.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 03:21:33 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN921+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
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:29:42 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f1,conjecture,(
% 0.14/0.40 (? [X] :(! [Y] :( ( p(Y)=> q(X) )=> ( p(X)=> q(X) ) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f2,negated_conjecture,(
% 0.14/0.40 ~((? [X] :(! [Y] :( ( p(Y)=> q(X) )=> ( p(X)=> q(X) ) ) )))),
% 0.14/0.40 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.40 fof(f3,plain,(
% 0.14/0.40 (![X]: ?[Y]: ((~p(Y)|q(X))&(p(X)&~q(X))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/0.40 fof(f4,plain,(
% 0.14/0.40 ((?[Y]: ~p(Y))|(![X]: q(X)))&((![X]: p(X))&(![X]: ~q(X)))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f3])).
% 0.14/0.40 fof(f5,plain,(
% 0.14/0.40 (~p(sK0_skl)|(![X]: q(X)))&((![X]: p(X))&(![X]: ~q(X)))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl)],[f4])).
% 0.14/0.40 fof(f6,plain,(
% 0.14/0.40 ![X0]: (~p(sK0_skl)|q(X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.40 fof(f7,plain,(
% 0.14/0.40 ![X0]: (p(X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.40 fof(f8,plain,(
% 0.14/0.40 ![X0]: (~q(X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.40 fof(f9,definition,(
% 0.14/0.40 sQ0_spl <=> (p(sK0_skl))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f11,plain,(
% 0.14/0.40 ~p(sK0_skl)|sQ0_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f9])).
% 0.14/0.40 fof(f12,definition,(
% 0.14/0.40 ![X0]: (sQ1_spl <=> (q(X0)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f13,plain,(
% 0.14/0.40 ![X0]: (q(X0)|~sQ1_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f12])).
% 0.14/0.40 fof(f15,plain,(
% 0.14/0.40 ~sQ0_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f6,f9,f12])).
% 0.14/0.40 fof(f16,plain,(
% 0.14/0.40 $false|sQ0_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f11,f7])).
% 0.14/0.40 fof(f17,plain,(
% 0.14/0.40 sQ0_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f16])).
% 0.14/0.40 fof(f18,plain,(
% 0.14/0.40 $false|~sQ1_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f13,f8])).
% 0.14/0.40 fof(f19,plain,(
% 0.14/0.40 ~sQ1_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f18])).
% 0.14/0.40 fof(f20,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f15,f17,f19])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.050976 seconds
% 0.14/0.42 % CPU time: 0.139318 seconds
% 0.14/0.42 % Total memory used: 55.213 MB
% 0.14/0.42 % Net memory used: 54.536 MB
%------------------------------------------------------------------------------