%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN411+1 : TPTP v9.3.1. Released v2.0.0.
% 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 03:19:35 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN411+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 10:53:28 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,conjecture,(
% 0.13/0.39 ( (! [X,Y,Z] : f(X,Y,Z))<=> ~ (? [U,V,W] : ~ f(U,V,W) )) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,negated_conjecture,(
% 0.13/0.39 ~(( (! [X,Y,Z] : f(X,Y,Z))<=> ~ (? [U,V,W] : ~ f(U,V,W) )) )),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.39 fof(f3,plain,(
% 0.13/0.39 ((![X,Y,Z]: f(X,Y,Z))<~>(![U,V,W]: f(U,V,W)))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f4,plain,(
% 0.13/0.39 ((![X,Y,Z]: f(X,Y,Z))|(![U,V,W]: f(U,V,W)))&((?[X,Y,Z]: ~f(X,Y,Z))|(?[U,V,W]: ~f(U,V,W)))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f5,plain,(
% 0.13/0.39 ((![X,Y,Z]: f(X,Y,Z))|(![U,V,W]: f(U,V,W)))&(~f(sK0_skl,sK1_skl,sK2_skl)|~f(sK3_skl,sK4_skl,sK5_skl))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(Z,sK2_skl),skolemize(U,sK3_skl),skolemize(V,sK4_skl),skolemize(W,sK5_skl)],[f4])).
% 0.13/0.39 fof(f6,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4,X5]: (f(X0,X1,X2)|f(X3,X4,X5))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f7,plain,(
% 0.13/0.39 ~f(sK0_skl,sK1_skl,sK2_skl)|~f(sK3_skl,sK4_skl,sK5_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f8,definition,(
% 0.13/0.39 ![X0,X1,X2]: (sQ0_spl <=> (f(X0,X1,X2)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f9,plain,(
% 0.13/0.39 ![X0,X1,X2]: (f(X0,X1,X2)|~sQ0_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f8])).
% 0.13/0.39 fof(f11,plain,(
% 0.13/0.39 sQ0_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f6,f8])).
% 0.13/0.39 fof(f12,definition,(
% 0.13/0.39 sQ1_spl <=> (f(sK0_skl,sK1_skl,sK2_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f14,plain,(
% 0.13/0.39 ~f(sK0_skl,sK1_skl,sK2_skl)|sQ1_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f12])).
% 0.13/0.39 fof(f15,definition,(
% 0.13/0.39 sQ2_spl <=> (f(sK3_skl,sK4_skl,sK5_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f17,plain,(
% 0.13/0.39 ~f(sK3_skl,sK4_skl,sK5_skl)|sQ2_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f15])).
% 0.13/0.39 fof(f18,plain,(
% 0.13/0.39 ~sQ1_spl|~sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f7,f12,f15])).
% 0.13/0.39 fof(f19,plain,(
% 0.13/0.39 $false|~sQ0_spl|sQ1_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f14,f9])).
% 0.13/0.39 fof(f20,plain,(
% 0.13/0.39 ~sQ0_spl|sQ1_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f19])).
% 0.13/0.39 fof(f21,plain,(
% 0.13/0.39 $false|~sQ0_spl|sQ2_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f17,f9])).
% 0.13/0.39 fof(f22,plain,(
% 0.13/0.39 ~sQ0_spl|sQ2_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f21])).
% 0.13/0.39 fof(f23,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f11,f18,f20,f22])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.050734 seconds
% 0.13/0.41 % CPU time: 0.113158 seconds
% 0.13/0.41 % Total memory used: 16.466 MB
% 0.13/0.41 % Net memory used: 15.858 MB
%------------------------------------------------------------------------------