%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN729+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 03:20:26 PM UTC 2026
% Result : Theorem 0.07s 5.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN729+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/5.36 % Computer : n002.cluster.edu
% 0.07/5.36 % Model : x86_64 x86_64
% 0.07/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/5.36 % Memory : 8046.5625MB
% 0.07/5.36 % OS : Linux 6.8.0-71-generic
% 0.07/5.36 % CPULimit : 300
% 0.07/5.36 % WCLimit : 300
% 0.07/5.36 % DateTime : Mon Sep 21 11:16:08 UTC 2026
% 0.07/5.36 % CPUTime :
% 0.07/5.37 % Drodi V4.1.1
% 0.07/5.39 % Refutation found
% 0.07/5.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/5.39 % SZS output start CNFRefutation for theBenchmark
% 0.07/5.39 fof(f1,conjecture,(
% 0.07/5.39 ( ( (! [X] :(? [Y] :( p(X)=> ( l(X,g(h(Y)))& p(Y) ) )))& (! [W] :( p(W)=> ( p(g(W))& p(h(W)) ) ) ))=> (! [X] :( p(X)=> (? [Y] :( l(X,Y)& p(Y) ) )) )) ),
% 0.07/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f2,negated_conjecture,(
% 0.07/5.39 ~(( ( (! [X] :(? [Y] :( p(X)=> ( l(X,g(h(Y)))& p(Y) ) )))& (! [W] :( p(W)=> ( p(g(W))& p(h(W)) ) ) ))=> (! [X] :( p(X)=> (? [Y] :( l(X,Y)& p(Y) ) )) )) )),
% 0.07/5.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.07/5.39 fof(f3,plain,(
% 0.07/5.39 (((![X]: ?[Y]: (~p(X)|(l(X,g(h(Y)))&p(Y))))&(![W]: (~p(W)|(p(g(W))&p(h(W))))))&(?[X]: (p(X)&(![Y]: (~l(X,Y)|~p(Y))))))),
% 0.07/5.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.07/5.39 fof(f4,plain,(
% 0.07/5.39 ((![X]: (~p(X)|(?[Y]: (l(X,g(h(Y)))&p(Y)))))&(![W]: (~p(W)|(p(g(W))&p(h(W))))))&(?[X]: (p(X)&(![Y]: (~l(X,Y)|~p(Y)))))),
% 0.07/5.39 inference(miniscoping,[status(thm)],[f3])).
% 0.07/5.39 fof(f5,plain,(
% 0.07/5.39 ((![X]: (~p(X)|(l(X,g(h(sK0_skl(X))))&p(sK0_skl(X)))))&(![W]: (~p(W)|(p(g(W))&p(h(W))))))&(p(sK1_skl)&(![Y]: (~l(sK1_skl,Y)|~p(Y))))),
% 0.07/5.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl(X)),skolemize(X,sK1_skl)],[f4])).
% 0.07/5.39 fof(f6,plain,(
% 0.07/5.39 ![X0]: (~p(X0)|l(X0,g(h(sK0_skl(X0)))))),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.07/5.39 fof(f7,plain,(
% 0.07/5.39 ![X0]: (~p(X0)|p(sK0_skl(X0)))),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.07/5.39 fof(f8,plain,(
% 0.07/5.39 ![X0]: (~p(X0)|p(g(X0)))),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.07/5.39 fof(f9,plain,(
% 0.07/5.39 ![X0]: (~p(X0)|p(h(X0)))),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.07/5.39 fof(f10,plain,(
% 0.07/5.39 p(sK1_skl)),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.07/5.39 fof(f11,plain,(
% 0.07/5.39 ![X0]: (~l(sK1_skl,X0)|~p(X0))),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.07/5.39 fof(f12,plain,(
% 0.07/5.39 ~p(g(h(sK0_skl(sK1_skl))))|~p(sK1_skl)),
% 0.07/5.39 inference(resolution,[status(thm)],[f11,f6])).
% 0.07/5.39 fof(f13,plain,(
% 0.07/5.39 ~p(g(h(sK0_skl(sK1_skl))))),
% 0.07/5.39 inference(forward_subsumption_resolution,[status(thm)],[f12,f10])).
% 0.07/5.39 fof(f14,plain,(
% 0.07/5.39 ~p(h(sK0_skl(sK1_skl)))),
% 0.07/5.39 inference(resolution,[status(thm)],[f13,f8])).
% 0.07/5.39 fof(f15,plain,(
% 0.07/5.39 ~p(sK0_skl(sK1_skl))),
% 0.07/5.39 inference(resolution,[status(thm)],[f14,f9])).
% 0.07/5.39 fof(f16,plain,(
% 0.07/5.39 ~p(sK1_skl)),
% 0.07/5.39 inference(resolution,[status(thm)],[f15,f7])).
% 0.07/5.39 fof(f17,plain,(
% 0.07/5.39 $false),
% 0.07/5.39 inference(forward_subsumption_resolution,[status(thm)],[f16,f10])).
% 0.07/5.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.41 % Elapsed time: 0.045298 seconds
% 0.14/5.41 % CPU time: 0.130128 seconds
% 0.14/5.41 % Total memory used: 51.844 MB
% 0.14/5.41 % Net memory used: 51.327 MB
%------------------------------------------------------------------------------