%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN060+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 : n017.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 03:18:50 PM UTC 2026
% Result : Theorem 0.08s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN060+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.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 10:36:12 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.37 fof(f1,axiom,(
% 0.08/0.37 (! [X] :( ( big_f(X)| big_g(X) )=> ~ big_h(X) ) )),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f2,axiom,(
% 0.08/0.37 (! [X] :( ( big_g(X)=> ~ big_i(X) )=> ( big_f(X)& big_h(X) ) ) )),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f3,conjecture,(
% 0.08/0.37 (! [X] : big_i(X) )),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f4,negated_conjecture,(
% 0.08/0.37 ~((! [X] : big_i(X) ))),
% 0.08/0.37 inference(negated_conjecture,[status(cth)],[f3])).
% 0.08/0.37 fof(f5,plain,(
% 0.08/0.37 ![X]: ((~big_f(X)&~big_g(X))|~big_h(X))),
% 0.08/0.37 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.08/0.37 fof(f6,plain,(
% 0.08/0.37 ![X0]: (~big_f(X0)|~big_h(X0))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.37 fof(f8,plain,(
% 0.08/0.37 ![X]: ((big_g(X)&big_i(X))|(big_f(X)&big_h(X)))),
% 0.08/0.37 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.37 fof(f9,definition,(
% 0.08/0.37 ![X]: (sP0_prd(X)<=>(big_g(X)&big_i(X)))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.08/0.37 fof(f10,plain,(
% 0.08/0.37 ![X]: (sP0_prd(X)|(big_f(X)&big_h(X)))),
% 0.08/0.37 inference(formula_renaming,[status(thm)],[f8,f9])).
% 0.08/0.37 fof(f11,plain,(
% 0.08/0.37 ![X0]: (sP0_prd(X0)|big_f(X0))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f10])).
% 0.08/0.37 fof(f12,plain,(
% 0.08/0.37 ![X0]: (sP0_prd(X0)|big_h(X0))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f10])).
% 0.08/0.37 fof(f13,plain,(
% 0.08/0.37 (?[X]: ~big_i(X))),
% 0.08/0.37 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.08/0.37 fof(f14,plain,(
% 0.08/0.37 ~big_i(sK0_skl)),
% 0.08/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f13])).
% 0.08/0.37 fof(f15,plain,(
% 0.08/0.37 ~big_i(sK0_skl)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f14])).
% 0.08/0.37 fof(f16,plain,(
% 0.08/0.37 ![X]: ((~sP0_prd(X)|(big_g(X)&big_i(X)))&(sP0_prd(X)|(~big_g(X)|~big_i(X))))),
% 0.08/0.37 inference(NNF_transformation,[status(thm)],[f9])).
% 0.08/0.37 fof(f17,plain,(
% 0.08/0.37 (![X]: (~sP0_prd(X)|(big_g(X)&big_i(X))))&(![X]: (sP0_prd(X)|(~big_g(X)|~big_i(X))))),
% 0.08/0.37 inference(miniscoping,[status(thm)],[f16])).
% 0.08/0.37 fof(f19,plain,(
% 0.08/0.37 ![X0]: (~sP0_prd(X0)|big_i(X0))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f17])).
% 0.08/0.37 fof(f22,plain,(
% 0.08/0.37 ![X0]: (sP0_prd(X0)|~big_f(X0))),
% 0.08/0.37 inference(resolution,[status(thm)],[f12,f6])).
% 0.08/0.37 fof(f23,plain,(
% 0.08/0.37 ![X0]: (sP0_prd(X0))),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f22,f11])).
% 0.08/0.37 fof(f24,plain,(
% 0.08/0.37 ![X0]: (big_i(X0))),
% 0.08/0.37 inference(backward_subsumption_resolution,[status(thm)],[f19,f23])).
% 0.08/0.37 fof(f26,plain,(
% 0.08/0.37 $false),
% 0.08/0.37 inference(backward_subsumption_resolution,[status(thm)],[f15,f24])).
% 0.08/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.031825 seconds
% 0.12/0.39 % CPU time: 0.034936 seconds
% 0.12/0.39 % Total memory used: 516.816 KB
% 0.12/0.39 % Net memory used: 504.928 KB
%------------------------------------------------------------------------------