%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN934+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 : n011.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 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN934+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
% 0.09/0.36 % Computer : n011.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 11:30:25 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f1,conjecture,(
% 0.09/0.39 ( (? [X] :( c=> p(X) ))<=> ( c=> (? [X] : p(X) )) ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f2,negated_conjecture,(
% 0.09/0.39 ~(( (? [X] :( c=> p(X) ))<=> ( c=> (? [X] : p(X) )) ) )),
% 0.09/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.39 fof(f3,plain,(
% 0.09/0.39 ((?[X]: (~c|p(X)))<~>(~c|(?[X]: p(X))))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f4,plain,(
% 0.09/0.39 ((?[X]: (~c|p(X)))|(~c|(?[X]: p(X))))&((![X]: (c&~p(X)))|(c&(![X]: ~p(X))))),
% 0.09/0.39 inference(NNF_transformation,[status(thm)],[f3])).
% 0.09/0.39 fof(f5,plain,(
% 0.09/0.39 ((~c|(?[X]: p(X)))|(~c|(?[X]: p(X))))&((c&(![X]: ~p(X)))|(c&(![X]: ~p(X))))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f4])).
% 0.09/0.39 fof(f6,plain,(
% 0.09/0.39 ((~c|p(sK0_skl))|(~c|p(sK1_skl)))&((c&(![X]: ~p(X)))|(c&(![X]: ~p(X))))),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl)],[f5])).
% 0.09/0.39 fof(f7,plain,(
% 0.09/0.39 ~c|p(sK0_skl)|~c|p(sK1_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.39 fof(f8,plain,(
% 0.09/0.39 c|c),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.39 fof(f11,plain,(
% 0.09/0.39 ![X0,X1]: (~p(X0)|~p(X1))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.39 fof(f12,definition,(
% 0.09/0.39 sQ0_spl <=> (c)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f15,definition,(
% 0.09/0.39 sQ1_spl <=> (p(sK0_skl))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f16,plain,(
% 0.09/0.39 p(sK0_skl)|~sQ1_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f15])).
% 0.09/0.39 fof(f18,definition,(
% 0.09/0.39 sQ2_spl <=> (p(sK1_skl))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f19,plain,(
% 0.09/0.39 p(sK1_skl)|~sQ2_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f18])).
% 0.09/0.39 fof(f21,plain,(
% 0.09/0.39 ~sQ0_spl|sQ1_spl|sQ2_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f7,f12,f15,f18])).
% 0.09/0.39 fof(f22,plain,(
% 0.09/0.39 sQ0_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f8,f12])).
% 0.09/0.39 fof(f23,definition,(
% 0.09/0.39 ![X0]: (sQ3_spl <=> (~p(X0)))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f24,plain,(
% 0.09/0.39 ![X0]: (~p(X0)|~sQ3_spl)),
% 0.09/0.39 inference(component_clause,[status(thm)],[f23])).
% 0.09/0.39 fof(f28,plain,(
% 0.09/0.39 sQ3_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f11,f23])).
% 0.09/0.39 fof(f29,plain,(
% 0.09/0.39 $false|~sQ3_spl|~sQ1_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f16,f24])).
% 0.09/0.39 fof(f30,plain,(
% 0.09/0.39 ~sQ3_spl|~sQ1_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f29])).
% 0.09/0.39 fof(f31,plain,(
% 0.09/0.39 $false|~sQ3_spl|~sQ2_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f19,f24])).
% 0.09/0.39 fof(f32,plain,(
% 0.09/0.39 ~sQ3_spl|~sQ2_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f31])).
% 0.09/0.39 fof(f33,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(sat_refutation,[status(thm)],[f21,f22,f28,f30,f32])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.039951 seconds
% 0.09/0.42 % CPU time: 0.103570 seconds
% 0.09/0.42 % Total memory used: 16.483 MB
% 0.09/0.42 % Net memory used: 15.875 MB
%------------------------------------------------------------------------------