%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN937+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 : n001.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 0.09s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN937+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
% 0.09/0.52 % Computer : n001.cluster.edu
% 0.09/0.52 % Model : x86_64 x86_64
% 0.09/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.52 % Memory : 8046.5625MB
% 0.09/0.52 % OS : Linux 6.8.0-71-generic
% 0.09/0.52 % CPULimit : 300
% 0.09/0.52 % WCLimit : 300
% 0.09/0.52 % DateTime : Mon Sep 21 11:36:15 UTC 2026
% 0.09/0.52 % CPUTime :
% 0.09/0.53 % Drodi V4.1.1
% 0.09/0.54 % Refutation found
% 0.09/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.54 fof(f1,conjecture,(
% 0.09/0.54 ( (! [X] :( p(X)=> c ))<=> ( (? [X] : p(X))=> c ) ) ),
% 0.09/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.54 fof(f2,negated_conjecture,(
% 0.09/0.54 ~(( (! [X] :( p(X)=> c ))<=> ( (? [X] : p(X))=> c ) ) )),
% 0.09/0.54 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.54 fof(f3,plain,(
% 0.09/0.54 ((![X]: (~p(X)|c))<~>((![X]: ~p(X))|c))),
% 0.09/0.54 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.54 fof(f4,plain,(
% 0.09/0.54 ((![X]: (~p(X)|c))|((![X]: ~p(X))|c))&((?[X]: (p(X)&~c))|((?[X]: p(X))&~c))),
% 0.09/0.54 inference(NNF_transformation,[status(thm)],[f3])).
% 0.09/0.54 fof(f5,plain,(
% 0.09/0.54 (((![X]: ~p(X))|c)|((![X]: ~p(X))|c))&(((?[X]: p(X))&~c)|((?[X]: p(X))&~c))),
% 0.09/0.54 inference(miniscoping,[status(thm)],[f4])).
% 0.09/0.54 fof(f6,plain,(
% 0.09/0.54 (((![X]: ~p(X))|c)|((![X]: ~p(X))|c))&((p(sK0_skl)&~c)|(p(sK1_skl)&~c))),
% 0.09/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl)],[f5])).
% 0.09/0.54 fof(f7,plain,(
% 0.09/0.54 ![X0,X1]: (~p(X0)|c|~p(X1)|c)),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.54 fof(f8,plain,(
% 0.09/0.54 p(sK0_skl)|p(sK1_skl)),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.54 fof(f11,plain,(
% 0.09/0.54 ~c|~c),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.54 fof(f12,definition,(
% 0.09/0.54 ![X0]: (sQ0_spl <=> (~p(X0)))),
% 0.09/0.54 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.54 fof(f13,plain,(
% 0.09/0.54 ![X0]: (~p(X0)|~sQ0_spl)),
% 0.09/0.54 inference(component_clause,[status(thm)],[f12])).
% 0.09/0.54 fof(f15,definition,(
% 0.09/0.54 sQ1_spl <=> (c)),
% 0.09/0.54 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.54 fof(f18,plain,(
% 0.09/0.54 sQ0_spl|sQ1_spl),
% 0.09/0.54 inference(split_clause,[status(thm)],[f7,f12,f15])).
% 0.09/0.54 fof(f19,definition,(
% 0.09/0.54 sQ2_spl <=> (p(sK0_skl))),
% 0.09/0.54 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.54 fof(f20,plain,(
% 0.09/0.54 p(sK0_skl)|~sQ2_spl),
% 0.09/0.54 inference(component_clause,[status(thm)],[f19])).
% 0.09/0.54 fof(f22,definition,(
% 0.09/0.54 sQ3_spl <=> (p(sK1_skl))),
% 0.09/0.54 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.54 fof(f23,plain,(
% 0.09/0.54 p(sK1_skl)|~sQ3_spl),
% 0.09/0.54 inference(component_clause,[status(thm)],[f22])).
% 0.09/0.54 fof(f25,plain,(
% 0.09/0.54 sQ2_spl|sQ3_spl),
% 0.09/0.54 inference(split_clause,[status(thm)],[f8,f19,f22])).
% 0.09/0.54 fof(f28,plain,(
% 0.09/0.54 ~sQ1_spl),
% 0.09/0.54 inference(split_clause,[status(thm)],[f11,f15])).
% 0.09/0.54 fof(f29,plain,(
% 0.09/0.54 $false|~sQ0_spl|~sQ2_spl),
% 0.09/0.54 inference(forward_subsumption_resolution,[status(thm)],[f20,f13])).
% 0.09/0.54 fof(f30,plain,(
% 0.09/0.54 ~sQ0_spl|~sQ2_spl),
% 0.09/0.54 inference(contradiction_clause,[status(thm)],[f29])).
% 0.09/0.54 fof(f31,plain,(
% 0.09/0.54 $false|~sQ0_spl|~sQ3_spl),
% 0.09/0.54 inference(forward_subsumption_resolution,[status(thm)],[f23,f13])).
% 0.09/0.54 fof(f32,plain,(
% 0.09/0.54 ~sQ0_spl|~sQ3_spl),
% 0.09/0.54 inference(contradiction_clause,[status(thm)],[f31])).
% 0.09/0.54 fof(f33,plain,(
% 0.09/0.54 $false),
% 0.09/0.54 inference(sat_refutation,[status(thm)],[f18,f25,f28,f30,f32])).
% 0.09/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.58 % Elapsed time: 0.046277 seconds
% 0.09/0.58 % CPU time: 0.092973 seconds
% 0.09/0.58 % Total memory used: 12.362 MB
% 0.09/0.58 % Net memory used: 11.917 MB
%------------------------------------------------------------------------------