%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN930+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 : 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 03:21:34 PM UTC 2026
% Result : Theorem 0.10s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN930+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
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % 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 11:30:20 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f1,conjecture,(
% 0.10/0.39 ( (! [X] :( p(X)| c ))<=> ( (! [X] : p(X))| c ) ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f2,negated_conjecture,(
% 0.10/0.39 ~(( (! [X] :( p(X)| c ))<=> ( (! [X] : p(X))| c ) ) )),
% 0.10/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.39 fof(f3,plain,(
% 0.10/0.39 ((![X]: (p(X)|c))<~>((![X]: p(X))|c))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.10/0.39 fof(f4,plain,(
% 0.10/0.39 ((![X]: (p(X)|c))|((![X]: p(X))|c))&((?[X]: (~p(X)&~c))|((?[X]: ~p(X))&~c))),
% 0.10/0.39 inference(NNF_transformation,[status(thm)],[f3])).
% 0.10/0.39 fof(f5,plain,(
% 0.10/0.39 (((![X]: p(X))|c)|((![X]: p(X))|c))&(((?[X]: ~p(X))&~c)|((?[X]: ~p(X))&~c))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f4])).
% 0.10/0.39 fof(f6,plain,(
% 0.10/0.39 (((![X]: p(X))|c)|((![X]: p(X))|c))&((~p(sK0_skl)&~c)|(~p(sK1_skl)&~c))),
% 0.10/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl)],[f5])).
% 0.10/0.39 fof(f7,plain,(
% 0.10/0.39 ![X0,X1]: (p(X0)|c|p(X1)|c)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.39 fof(f8,plain,(
% 0.10/0.39 ~p(sK0_skl)|~p(sK1_skl)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.39 fof(f11,plain,(
% 0.10/0.39 ~c|~c),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.39 fof(f12,definition,(
% 0.10/0.39 ![X0]: (sQ0_spl <=> (p(X0)))),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f13,plain,(
% 0.10/0.39 ![X0]: (p(X0)|~sQ0_spl)),
% 0.10/0.39 inference(component_clause,[status(thm)],[f12])).
% 0.10/0.39 fof(f15,definition,(
% 0.10/0.39 sQ1_spl <=> (c)),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f18,plain,(
% 0.10/0.39 sQ0_spl|sQ1_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f7,f12,f15])).
% 0.10/0.39 fof(f19,definition,(
% 0.10/0.39 sQ2_spl <=> (p(sK0_skl))),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f21,plain,(
% 0.10/0.39 ~p(sK0_skl)|sQ2_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f19])).
% 0.10/0.39 fof(f22,definition,(
% 0.10/0.39 sQ3_spl <=> (p(sK1_skl))),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f24,plain,(
% 0.10/0.39 ~p(sK1_skl)|sQ3_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f22])).
% 0.10/0.39 fof(f25,plain,(
% 0.10/0.39 ~sQ2_spl|~sQ3_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f8,f19,f22])).
% 0.10/0.39 fof(f28,plain,(
% 0.10/0.39 ~sQ1_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f11,f15])).
% 0.10/0.39 fof(f29,plain,(
% 0.10/0.39 $false|~sQ0_spl|sQ2_spl),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f21,f13])).
% 0.10/0.39 fof(f30,plain,(
% 0.10/0.39 ~sQ0_spl|sQ2_spl),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f29])).
% 0.10/0.39 fof(f31,plain,(
% 0.10/0.39 $false|~sQ0_spl|sQ3_spl),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f24,f13])).
% 0.10/0.39 fof(f32,plain,(
% 0.10/0.39 ~sQ0_spl|sQ3_spl),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f31])).
% 0.10/0.39 fof(f33,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(sat_refutation,[status(thm)],[f18,f25,f28,f30,f32])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.41 % Elapsed time: 0.036967 seconds
% 0.10/0.41 % CPU time: 0.101108 seconds
% 0.10/0.41 % Total memory used: 14.946 MB
% 0.10/0.41 % Net memory used: 14.400 MB
%------------------------------------------------------------------------------