%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN054+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 : n003.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 0.13s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN054+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
% 0.10/0.34 % Computer : n003.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Mon Sep 21 10:42:15 UTC 2026
% 0.10/0.34 % CPUTime :
% 0.10/0.35 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f1,axiom,(
% 0.13/0.37 ~ (? [X] :( big_s(X)& big_q(X) ) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f2,axiom,(
% 0.13/0.37 (! [X] :( big_p(X)=> ( big_q(X)| big_r(X) ) ) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f3,axiom,(
% 0.13/0.37 ( ~ (? [X] : big_p(X))=> (? [Y] : big_q(Y) )) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f4,axiom,(
% 0.13/0.37 (! [X] :( ( big_q(X)| big_r(X) )=> big_s(X) ) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f5,conjecture,(
% 0.13/0.37 (? [X] :( big_p(X)& big_r(X) ) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f6,negated_conjecture,(
% 0.13/0.37 ~((? [X] :( big_p(X)& big_r(X) ) ))),
% 0.13/0.37 inference(negated_conjecture,[status(cth)],[f5])).
% 0.13/0.37 fof(f7,plain,(
% 0.13/0.37 (![X]: (~big_s(X)|~big_q(X)))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.13/0.37 fof(f8,plain,(
% 0.13/0.37 ![X0]: (~big_s(X0)|~big_q(X0))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.37 fof(f9,plain,(
% 0.13/0.37 ![X]: (~big_p(X)|(big_q(X)|big_r(X)))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.37 fof(f10,plain,(
% 0.13/0.37 ![X0]: (~big_p(X0)|big_q(X0)|big_r(X0))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.37 fof(f11,plain,(
% 0.13/0.37 (?[X]: big_p(X))|(?[Y]: big_q(Y))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.13/0.37 fof(f12,plain,(
% 0.13/0.37 big_p(sK0_skl)|big_q(sK1_skl)),
% 0.13/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl)],[f11])).
% 0.13/0.37 fof(f13,plain,(
% 0.13/0.37 big_p(sK0_skl)|big_q(sK1_skl)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.37 fof(f14,plain,(
% 0.13/0.37 ![X]: ((~big_q(X)&~big_r(X))|big_s(X))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.13/0.37 fof(f15,plain,(
% 0.13/0.37 ![X0]: (~big_q(X0)|big_s(X0))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.37 fof(f17,plain,(
% 0.13/0.37 (![X]: (~big_p(X)|~big_r(X)))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.13/0.37 fof(f18,plain,(
% 0.13/0.37 ![X0]: (~big_p(X0)|~big_r(X0))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.37 fof(f19,definition,(
% 0.13/0.37 sQ0_spl <=> (big_p(sK0_skl))),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.37 fof(f20,plain,(
% 0.13/0.37 big_p(sK0_skl)|~sQ0_spl),
% 0.13/0.37 inference(component_clause,[status(thm)],[f19])).
% 0.13/0.37 fof(f22,definition,(
% 0.13/0.37 sQ1_spl <=> (big_q(sK1_skl))),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.37 fof(f23,plain,(
% 0.13/0.37 big_q(sK1_skl)|~sQ1_spl),
% 0.13/0.37 inference(component_clause,[status(thm)],[f22])).
% 0.13/0.37 fof(f25,plain,(
% 0.13/0.37 sQ0_spl|sQ1_spl),
% 0.13/0.37 inference(split_clause,[status(thm)],[f13,f19,f22])).
% 0.13/0.37 fof(f26,plain,(
% 0.13/0.37 ![X0]: (~big_p(X0)|big_q(X0))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f10,f18])).
% 0.13/0.37 fof(f27,plain,(
% 0.13/0.37 big_q(sK0_skl)|~sQ0_spl),
% 0.13/0.37 inference(resolution,[status(thm)],[f20,f26])).
% 0.13/0.37 fof(f30,plain,(
% 0.13/0.37 $false|~sQ0_spl),
% 0.13/0.37 inference(backward_subsumption_resolution,[status(thm)],[f27,f31])).
% 0.13/0.37 fof(f31,plain,(
% 0.13/0.37 ![X0]: (~big_q(X0))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f15,f8])).
% 0.13/0.37 fof(f32,plain,(
% 0.13/0.37 ~sQ0_spl),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f30])).
% 0.13/0.37 fof(f33,plain,(
% 0.13/0.37 $false|~sQ1_spl),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f23,f31])).
% 0.13/0.37 fof(f34,plain,(
% 0.13/0.37 ~sQ1_spl),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f33])).
% 0.13/0.37 fof(f35,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(sat_refutation,[status(thm)],[f25,f32,f34])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.039539 seconds
% 0.13/0.40 % CPU time: 0.102509 seconds
% 0.13/0.40 % Total memory used: 16.504 MB
% 0.13/0.40 % Net memory used: 15.919 MB
%------------------------------------------------------------------------------