%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN936+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 03:21:34 PM UTC 2026
% Result : Theorem 0.07s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN936+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.33 % Computer : n018.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Mon Sep 21 11:32:29 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.07/0.34 % Drodi V4.1.1
% 0.07/0.35 % Refutation found
% 0.07/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.35 fof(f1,conjecture,(
% 0.07/0.35 ( (! [X] :( c=> p(X) ))<=> ( c=> (! [X] : p(X) )) ) ),
% 0.07/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.35 fof(f2,negated_conjecture,(
% 0.07/0.35 ~(( (! [X] :( c=> p(X) ))<=> ( c=> (! [X] : p(X) )) ) )),
% 0.07/0.35 inference(negated_conjecture,[status(cth)],[f1])).
% 0.07/0.35 fof(f3,plain,(
% 0.07/0.35 ((![X]: (~c|p(X)))<~>(~c|(![X]: p(X))))),
% 0.07/0.35 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.07/0.35 fof(f4,plain,(
% 0.07/0.35 ((![X]: (~c|p(X)))|(~c|(![X]: p(X))))&((?[X]: (c&~p(X)))|(c&(?[X]: ~p(X))))),
% 0.07/0.35 inference(NNF_transformation,[status(thm)],[f3])).
% 0.07/0.35 fof(f5,plain,(
% 0.07/0.35 ((~c|(![X]: p(X)))|(~c|(![X]: p(X))))&((c&(?[X]: ~p(X)))|(c&(?[X]: ~p(X))))),
% 0.07/0.35 inference(miniscoping,[status(thm)],[f4])).
% 0.07/0.35 fof(f6,plain,(
% 0.07/0.35 ((~c|(![X]: p(X)))|(~c|(![X]: p(X))))&((c&~p(sK0_skl))|(c&~p(sK1_skl)))),
% 0.07/0.35 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl)],[f5])).
% 0.07/0.35 fof(f7,plain,(
% 0.07/0.35 ![X0,X1]: (~c|p(X0)|~c|p(X1))),
% 0.07/0.35 inference(cnf_transformation,[status(thm)],[f6])).
% 0.07/0.35 fof(f8,plain,(
% 0.07/0.35 c|c),
% 0.07/0.35 inference(cnf_transformation,[status(thm)],[f6])).
% 0.07/0.35 fof(f11,plain,(
% 0.07/0.35 ~p(sK0_skl)|~p(sK1_skl)),
% 0.07/0.35 inference(cnf_transformation,[status(thm)],[f6])).
% 0.07/0.35 fof(f12,definition,(
% 0.07/0.35 sQ0_spl <=> (c)),
% 0.07/0.35 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.07/0.35 fof(f15,definition,(
% 0.07/0.35 ![X0]: (sQ1_spl <=> (p(X0)))),
% 0.07/0.35 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.07/0.35 fof(f16,plain,(
% 0.07/0.35 ![X0]: (p(X0)|~sQ1_spl)),
% 0.07/0.35 inference(component_clause,[status(thm)],[f15])).
% 0.07/0.35 fof(f18,plain,(
% 0.07/0.35 ~sQ0_spl|sQ1_spl),
% 0.07/0.35 inference(split_clause,[status(thm)],[f7,f12,f15])).
% 0.07/0.35 fof(f19,plain,(
% 0.07/0.35 sQ0_spl),
% 0.07/0.35 inference(split_clause,[status(thm)],[f8,f12])).
% 0.07/0.35 fof(f20,definition,(
% 0.07/0.35 sQ2_spl <=> (p(sK1_skl))),
% 0.07/0.35 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.07/0.35 fof(f22,plain,(
% 0.07/0.35 ~p(sK1_skl)|sQ2_spl),
% 0.07/0.35 inference(component_clause,[status(thm)],[f20])).
% 0.07/0.35 fof(f24,definition,(
% 0.07/0.35 sQ3_spl <=> (p(sK0_skl))),
% 0.07/0.35 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.07/0.35 fof(f26,plain,(
% 0.07/0.35 ~p(sK0_skl)|sQ3_spl),
% 0.07/0.35 inference(component_clause,[status(thm)],[f24])).
% 0.07/0.35 fof(f28,plain,(
% 0.07/0.35 ~sQ3_spl|~sQ2_spl),
% 0.07/0.35 inference(split_clause,[status(thm)],[f11,f24,f20])).
% 0.07/0.35 fof(f29,plain,(
% 0.07/0.35 $false|~sQ1_spl|sQ3_spl),
% 0.07/0.35 inference(forward_subsumption_resolution,[status(thm)],[f26,f16])).
% 0.07/0.35 fof(f30,plain,(
% 0.07/0.35 ~sQ1_spl|sQ3_spl),
% 0.07/0.35 inference(contradiction_clause,[status(thm)],[f29])).
% 0.07/0.35 fof(f31,plain,(
% 0.07/0.35 $false|~sQ1_spl|sQ2_spl),
% 0.07/0.35 inference(forward_subsumption_resolution,[status(thm)],[f22,f16])).
% 0.07/0.35 fof(f32,plain,(
% 0.07/0.35 ~sQ1_spl|sQ2_spl),
% 0.07/0.35 inference(contradiction_clause,[status(thm)],[f31])).
% 0.07/0.35 fof(f33,plain,(
% 0.07/0.35 $false),
% 0.07/0.35 inference(sat_refutation,[status(thm)],[f18,f19,f28,f30,f32])).
% 0.07/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.38 % Elapsed time: 0.036310 seconds
% 0.11/0.38 % CPU time: 0.075558 seconds
% 0.11/0.38 % Total memory used: 8.242 MB
% 0.11/0.38 % Net memory used: 7.947 MB
%------------------------------------------------------------------------------