%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN365+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 : n015.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 03:19:29 PM UTC 2026
% Result : Theorem 0.08s 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN365+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
% 0.08/0.52 % Computer : n015.cluster.edu
% 0.08/0.52 % Model : x86_64 x86_64
% 0.08/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.52 % Memory : 8046.5625MB
% 0.08/0.52 % OS : Linux 6.8.0-71-generic
% 0.08/0.52 % CPULimit : 300
% 0.08/0.52 % WCLimit : 300
% 0.08/0.52 % DateTime : Mon Sep 21 10:55:08 UTC 2026
% 0.08/0.52 % CPUTime :
% 0.08/0.53 % Drodi V4.1.1
% 0.08/0.55 % Refutation found
% 0.08/0.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.55 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.55 fof(f1,conjecture,(
% 0.08/0.55 ( ( (! [X] :(? [Y] :( big_p(X)=> ( big_r(X,g(h(Y)))& big_p(Y) ) )))& (! [W] :( big_p(W)=> ( big_p(g(W))& big_p(h(W)) ) ) ))=> (! [X] :( big_p(X)=> (? [Y] :( big_r(X,Y)& big_p(Y) ) )) )) ),
% 0.08/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.55 fof(f2,negated_conjecture,(
% 0.08/0.55 ~(( ( (! [X] :(? [Y] :( big_p(X)=> ( big_r(X,g(h(Y)))& big_p(Y) ) )))& (! [W] :( big_p(W)=> ( big_p(g(W))& big_p(h(W)) ) ) ))=> (! [X] :( big_p(X)=> (? [Y] :( big_r(X,Y)& big_p(Y) ) )) )) )),
% 0.08/0.55 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.55 fof(f3,plain,(
% 0.08/0.55 (((![X]: ?[Y]: (~big_p(X)|(big_r(X,g(h(Y)))&big_p(Y))))&(![W]: (~big_p(W)|(big_p(g(W))&big_p(h(W))))))&(?[X]: (big_p(X)&(![Y]: (~big_r(X,Y)|~big_p(Y))))))),
% 0.08/0.55 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.55 fof(f4,plain,(
% 0.08/0.55 ((![X]: (~big_p(X)|(?[Y]: (big_r(X,g(h(Y)))&big_p(Y)))))&(![W]: (~big_p(W)|(big_p(g(W))&big_p(h(W))))))&(?[X]: (big_p(X)&(![Y]: (~big_r(X,Y)|~big_p(Y)))))),
% 0.08/0.55 inference(miniscoping,[status(thm)],[f3])).
% 0.08/0.55 fof(f5,plain,(
% 0.08/0.55 ((![X]: (~big_p(X)|(big_r(X,g(h(sK0_skl(X))))&big_p(sK0_skl(X)))))&(![W]: (~big_p(W)|(big_p(g(W))&big_p(h(W))))))&(big_p(sK1_skl)&(![Y]: (~big_r(sK1_skl,Y)|~big_p(Y))))),
% 0.08/0.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl(X)),skolemize(X,sK1_skl)],[f4])).
% 0.08/0.55 fof(f6,plain,(
% 0.08/0.55 ![X0]: (~big_p(X0)|big_r(X0,g(h(sK0_skl(X0)))))),
% 0.08/0.55 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.55 fof(f7,plain,(
% 0.08/0.55 ![X0]: (~big_p(X0)|big_p(sK0_skl(X0)))),
% 0.08/0.55 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.55 fof(f8,plain,(
% 0.08/0.55 ![X0]: (~big_p(X0)|big_p(g(X0)))),
% 0.08/0.55 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.55 fof(f9,plain,(
% 0.08/0.55 ![X0]: (~big_p(X0)|big_p(h(X0)))),
% 0.08/0.55 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.55 fof(f10,plain,(
% 0.08/0.55 big_p(sK1_skl)),
% 0.08/0.55 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.55 fof(f11,plain,(
% 0.08/0.55 ![X0]: (~big_r(sK1_skl,X0)|~big_p(X0))),
% 0.08/0.55 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.55 fof(f12,plain,(
% 0.08/0.55 ~big_p(g(h(sK0_skl(sK1_skl))))|~big_p(sK1_skl)),
% 0.08/0.55 inference(resolution,[status(thm)],[f11,f6])).
% 0.08/0.55 fof(f13,plain,(
% 0.08/0.55 ~big_p(g(h(sK0_skl(sK1_skl))))),
% 0.08/0.55 inference(forward_subsumption_resolution,[status(thm)],[f12,f10])).
% 0.08/0.55 fof(f14,plain,(
% 0.08/0.55 ~big_p(h(sK0_skl(sK1_skl)))),
% 0.08/0.55 inference(resolution,[status(thm)],[f13,f8])).
% 0.08/0.55 fof(f15,plain,(
% 0.08/0.55 ~big_p(sK0_skl(sK1_skl))),
% 0.08/0.55 inference(resolution,[status(thm)],[f14,f9])).
% 0.08/0.55 fof(f16,plain,(
% 0.08/0.55 ~big_p(sK1_skl)),
% 0.08/0.55 inference(resolution,[status(thm)],[f15,f7])).
% 0.08/0.55 fof(f17,plain,(
% 0.08/0.55 $false),
% 0.08/0.55 inference(forward_subsumption_resolution,[status(thm)],[f16,f10])).
% 0.08/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.58 % Elapsed time: 0.053992 seconds
% 0.08/0.58 % CPU time: 0.141087 seconds
% 0.08/0.58 % Total memory used: 55.310 MB
% 0.08/0.58 % Net memory used: 54.750 MB
%------------------------------------------------------------------------------