%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN055+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 : n005.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 03:18:49 PM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN055+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.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 10:40:49 UTC 2026
% 0.09/0.36 % 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,axiom,(
% 0.09/0.39 (? [X] : big_p(X) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f2,axiom,(
% 0.09/0.39 (! [X] :( big_f(X)=> ( ~ big_g(X)& big_r(X) ) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f3,axiom,(
% 0.09/0.39 (! [X] :( big_p(X)=> ( big_g(X)& big_f(X) ) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f4,axiom,(
% 0.09/0.39 ( (! [X] :( big_p(X)=> big_q(X) ))| (? [Z] :( big_p(Z)& big_r(Z) ) )) ),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f5,conjecture,(
% 0.09/0.39 (? [X] :( big_q(X)& big_p(X) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f6,negated_conjecture,(
% 0.09/0.39 ~((? [X] :( big_q(X)& big_p(X) ) ))),
% 0.09/0.39 inference(negated_conjecture,[status(cth)],[f5])).
% 0.09/0.39 fof(f7,plain,(
% 0.09/0.39 big_p(sK0_skl)),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f1])).
% 0.09/0.39 fof(f8,plain,(
% 0.09/0.39 big_p(sK0_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.39 fof(f9,plain,(
% 0.09/0.39 ![X]: (~big_f(X)|(~big_g(X)&big_r(X)))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f10,plain,(
% 0.09/0.39 ![X0]: (~big_f(X0)|~big_g(X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.39 fof(f12,plain,(
% 0.09/0.39 ![X]: (~big_p(X)|(big_g(X)&big_f(X)))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.09/0.39 fof(f13,plain,(
% 0.09/0.39 ![X0]: (~big_p(X0)|big_g(X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.39 fof(f14,plain,(
% 0.09/0.39 ![X0]: (~big_p(X0)|big_f(X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.39 fof(f15,plain,(
% 0.09/0.39 (![X]: (~big_p(X)|big_q(X)))|(?[Z]: (big_p(Z)&big_r(Z)))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f16,plain,(
% 0.09/0.39 (![X]: (~big_p(X)|big_q(X)))|(big_p(sK1_skl)&big_r(sK1_skl))),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Z,sK1_skl)],[f15])).
% 0.09/0.39 fof(f17,plain,(
% 0.09/0.39 ![X0]: (~big_p(X0)|big_q(X0)|big_p(sK1_skl))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.39 fof(f19,plain,(
% 0.09/0.39 (![X]: (~big_q(X)|~big_p(X)))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.09/0.39 fof(f20,plain,(
% 0.09/0.39 ![X0]: (~big_q(X0)|~big_p(X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.39 fof(f21,definition,(
% 0.09/0.39 ![X0]: (sQ0_spl <=> (~big_p(X0)|big_q(X0)))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f22,plain,(
% 0.09/0.39 ![X0]: (~big_p(X0)|big_q(X0)|~sQ0_spl)),
% 0.09/0.39 inference(component_clause,[status(thm)],[f21])).
% 0.09/0.39 fof(f24,definition,(
% 0.09/0.39 sQ1_spl <=> (big_p(sK1_skl))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f25,plain,(
% 0.09/0.39 big_p(sK1_skl)|~sQ1_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f24])).
% 0.09/0.39 fof(f27,plain,(
% 0.09/0.39 sQ0_spl|sQ1_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f17,f21,f24])).
% 0.09/0.39 fof(f33,plain,(
% 0.09/0.39 $false|~sQ0_spl),
% 0.09/0.39 inference(backward_subsumption_resolution,[status(thm)],[f8,f34])).
% 0.09/0.39 fof(f34,plain,(
% 0.09/0.39 ![X0]: (~big_p(X0)|~sQ0_spl)),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f22,f20])).
% 0.09/0.39 fof(f35,plain,(
% 0.09/0.39 ~sQ0_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f33])).
% 0.09/0.39 fof(f36,plain,(
% 0.09/0.39 ![X0]: (~big_p(X0)|~big_f(X0))),
% 0.09/0.39 inference(resolution,[status(thm)],[f13,f10])).
% 0.09/0.39 fof(f37,plain,(
% 0.09/0.39 ![X0]: (~big_p(X0))),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f36,f14])).
% 0.09/0.39 fof(f38,plain,(
% 0.09/0.39 $false|~sQ1_spl),
% 0.09/0.39 inference(backward_subsumption_resolution,[status(thm)],[f25,f37])).
% 0.09/0.39 fof(f39,plain,(
% 0.09/0.39 ~sQ1_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f38])).
% 0.09/0.39 fof(f40,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(sat_refutation,[status(thm)],[f27,f35,f39])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.039176 seconds
% 0.09/0.42 % CPU time: 0.105337 seconds
% 0.09/0.42 % Total memory used: 16.022 MB
% 0.09/0.42 % Net memory used: 15.527 MB
%------------------------------------------------------------------------------