%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN319+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 03:19:20 PM UTC 2026
% Result : Theorem 0.08s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN319+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n012.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 10:48:37 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.36 % Refutation found
% 0.08/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.36 fof(f1,conjecture,(
% 0.08/0.36 (? [X,Y] :(! [Z1,Z2] :( ( ( big_f(Y)=> big_g(Z1) )=> ( big_g(X)& ~ big_f(Z1) ) )=> ( ( ( big_f(X)| big_g(X) )=> big_h(X) )=> ( big_h(Z2)& ( big_h(Y)=> ( ( big_f(Z2)| big_g(Z2) )=> big_h(Z2) ) ) ) ) ) ))),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f2,negated_conjecture,(
% 0.08/0.36 ~((? [X,Y] :(! [Z1,Z2] :( ( ( big_f(Y)=> big_g(Z1) )=> ( big_g(X)& ~ big_f(Z1) ) )=> ( ( ( big_f(X)| big_g(X) )=> big_h(X) )=> ( big_h(Z2)& ( big_h(Y)=> ( ( big_f(Z2)| big_g(Z2) )=> big_h(Z2) ) ) ) ) ) )))),
% 0.08/0.36 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.36 fof(f3,plain,(
% 0.08/0.36 (![X,Y]: ?[Z1,Z2]: (((big_f(Y)&~big_g(Z1))|(big_g(X)&~big_f(Z1)))&(((~big_f(X)&~big_g(X))|big_h(X))&(~big_h(Z2)|(big_h(Y)&((big_f(Z2)|big_g(Z2))&~big_h(Z2)))))))),
% 0.08/0.36 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.36 fof(f4,definition,(
% 0.08/0.36 ![Y,Z1]: (sP0_prd(Z1,Y)<=>(big_f(Y)&~big_g(Z1)))),
% 0.08/0.36 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.08/0.36 fof(f5,plain,(
% 0.08/0.36 ![X,Y]: ?[Z1,Z2]: ((sP0_prd(Z1,Y)|(big_g(X)&~big_f(Z1)))&(((~big_f(X)&~big_g(X))|big_h(X))&(~big_h(Z2)|(big_h(Y)&((big_f(Z2)|big_g(Z2))&~big_h(Z2))))))),
% 0.08/0.36 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.08/0.36 fof(f6,plain,(
% 0.08/0.36 ((![Y]: ?[Z1]: sP0_prd(Z1,Y))|((![X]: big_g(X))&(?[Z1]: ~big_f(Z1))))&((![X]: ((~big_f(X)&~big_g(X))|big_h(X)))&((?[Z2]: ~big_h(Z2))|((![Y]: big_h(Y))&(?[Z2]: ((big_f(Z2)|big_g(Z2))&~big_h(Z2))))))),
% 0.08/0.36 inference(miniscoping,[status(thm)],[f5])).
% 0.08/0.36 fof(f7,plain,(
% 0.08/0.36 ((![Y]: sP0_prd(sK0_skl(Y),Y))|((![X]: big_g(X))&~big_f(sK1_skl)))&((![X]: ((~big_f(X)&~big_g(X))|big_h(X)))&(~big_h(sK2_skl)|((![Y]: big_h(Y))&((big_f(sK3_skl)|big_g(sK3_skl))&~big_h(sK3_skl)))))),
% 0.08/0.36 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(Z1,sK0_skl(Y)),skolemize(Z1,sK1_skl),skolemize(Z2,sK2_skl),skolemize(Z2,sK3_skl)],[f6])).
% 0.08/0.36 fof(f8,plain,(
% 0.08/0.36 ![X0,X1]: (sP0_prd(sK0_skl(X0),X0)|big_g(X1))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/0.36 fof(f10,plain,(
% 0.08/0.36 ![X0]: (~big_f(X0)|big_h(X0))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/0.36 fof(f11,plain,(
% 0.08/0.36 ![X0]: (~big_g(X0)|big_h(X0))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/0.36 fof(f14,plain,(
% 0.08/0.36 ~big_h(sK2_skl)|~big_h(sK3_skl)),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/0.36 fof(f15,plain,(
% 0.08/0.36 ![Y,Z1]: ((~sP0_prd(Z1,Y)|(big_f(Y)&~big_g(Z1)))&(sP0_prd(Z1,Y)|(~big_f(Y)|big_g(Z1))))),
% 0.08/0.36 inference(NNF_transformation,[status(thm)],[f4])).
% 0.08/0.36 fof(f16,plain,(
% 0.08/0.36 (![Y,Z1]: (~sP0_prd(Z1,Y)|(big_f(Y)&~big_g(Z1))))&(![Y,Z1]: (sP0_prd(Z1,Y)|(~big_f(Y)|big_g(Z1))))),
% 0.08/0.36 inference(miniscoping,[status(thm)],[f15])).
% 0.08/0.36 fof(f17,plain,(
% 0.08/0.36 ![X0,X1]: (~sP0_prd(X0,X1)|big_f(X1))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f16])).
% 0.08/0.36 fof(f20,definition,(
% 0.08/0.36 ![X0]: (sQ0_spl <=> (sP0_prd(sK0_skl(X0),X0)))),
% 0.08/0.36 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.36 fof(f21,plain,(
% 0.08/0.36 ![X0]: (sP0_prd(sK0_skl(X0),X0)|~sQ0_spl)),
% 0.08/0.36 inference(component_clause,[status(thm)],[f20])).
% 0.08/0.36 fof(f23,definition,(
% 0.08/0.36 ![X1]: (sQ1_spl <=> (big_g(X1)))),
% 0.08/0.36 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.36 fof(f24,plain,(
% 0.08/0.36 ![X0]: (big_g(X0)|~sQ1_spl)),
% 0.08/0.36 inference(component_clause,[status(thm)],[f23])).
% 0.08/0.36 fof(f26,plain,(
% 0.08/0.36 sQ0_spl|sQ1_spl),
% 0.08/0.36 inference(split_clause,[status(thm)],[f8,f20,f23])).
% 0.08/0.36 fof(f31,definition,(
% 0.08/0.36 sQ3_spl <=> (big_h(sK2_skl))),
% 0.08/0.36 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.08/0.36 fof(f33,plain,(
% 0.08/0.36 ~big_h(sK2_skl)|sQ3_spl),
% 0.08/0.36 inference(component_clause,[status(thm)],[f31])).
% 0.08/0.36 fof(f45,definition,(
% 0.08/0.36 sQ7_spl <=> (big_h(sK3_skl))),
% 0.08/0.36 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.08/0.36 fof(f47,plain,(
% 0.08/0.36 ~big_h(sK3_skl)|sQ7_spl),
% 0.08/0.36 inference(component_clause,[status(thm)],[f45])).
% 0.08/0.36 fof(f48,plain,(
% 0.08/0.36 ~sQ3_spl|~sQ7_spl),
% 0.08/0.36 inference(split_clause,[status(thm)],[f14,f31,f45])).
% 0.08/0.36 fof(f49,plain,(
% 0.08/0.36 ![X0]: (big_f(X0)|~sQ0_spl)),
% 0.08/0.36 inference(resolution,[status(thm)],[f21,f17])).
% 0.08/0.36 fof(f50,plain,(
% 0.08/0.36 ![X0]: (big_h(X0)|~sQ0_spl)),
% 0.08/0.36 inference(backward_subsumption_resolution,[status(thm)],[f10,f49])).
% 0.08/0.36 fof(f51,plain,(
% 0.08/0.36 $false|~sQ0_spl|sQ3_spl),
% 0.08/0.36 inference(backward_subsumption_resolution,[status(thm)],[f33,f50])).
% 0.08/0.36 fof(f52,plain,(
% 0.08/0.36 ~sQ0_spl|sQ3_spl),
% 0.08/0.36 inference(contradiction_clause,[status(thm)],[f51])).
% 0.08/0.36 fof(f53,plain,(
% 0.08/0.36 $false|~sQ0_spl|sQ7_spl),
% 0.08/0.36 inference(forward_subsumption_resolution,[status(thm)],[f47,f50])).
% 0.08/0.36 fof(f54,plain,(
% 0.08/0.36 ~sQ0_spl|sQ7_spl),
% 0.08/0.36 inference(contradiction_clause,[status(thm)],[f53])).
% 0.08/0.36 fof(f56,plain,(
% 0.08/0.36 $false|~sQ1_spl|sQ3_spl),
% 0.08/0.36 inference(backward_subsumption_resolution,[status(thm)],[f33,f57])).
% 0.08/0.36 fof(f57,plain,(
% 0.08/0.36 ![X0]: (big_h(X0)|~sQ1_spl)),
% 0.08/0.36 inference(forward_subsumption_resolution,[status(thm)],[f11,f24])).
% 0.08/0.36 fof(f58,plain,(
% 0.08/0.36 ~sQ1_spl|sQ3_spl),
% 0.08/0.36 inference(contradiction_clause,[status(thm)],[f56])).
% 0.08/0.36 fof(f59,plain,(
% 0.08/0.36 $false|~sQ1_spl|sQ7_spl),
% 0.08/0.36 inference(forward_subsumption_resolution,[status(thm)],[f47,f57])).
% 0.08/0.36 fof(f60,plain,(
% 0.08/0.36 ~sQ1_spl|sQ7_spl),
% 0.08/0.36 inference(contradiction_clause,[status(thm)],[f59])).
% 0.08/0.36 fof(f61,plain,(
% 0.08/0.36 $false),
% 0.08/0.36 inference(sat_refutation,[status(thm)],[f26,f48,f52,f54,f58,f60])).
% 0.08/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.40 % Elapsed time: 0.048486 seconds
% 0.11/0.40 % CPU time: 0.024577 seconds
% 0.11/0.40 % Total memory used: 1.045 MB
% 0.11/0.40 % Net memory used: 1.021 MB
%------------------------------------------------------------------------------