%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN403+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 : n007.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 03:19:34 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN403+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
% 0.08/0.35 % Computer : n007.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 10:51:20 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f1,conjecture,(
% 0.12/0.38 (! [X] :( ( ( f(X)=> g(X) )& ( g(X)=> h(X) ) )=> ( f(X)=> h(X) ) ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f2,negated_conjecture,(
% 0.12/0.38 ~((! [X] :( ( ( f(X)=> g(X) )& ( g(X)=> h(X) ) )=> ( f(X)=> h(X) ) ) ))),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.12/0.38 fof(f3,plain,(
% 0.12/0.38 (?[X]: (((~f(X)|g(X))&(~g(X)|h(X)))&(f(X)&~h(X))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.12/0.38 fof(f4,plain,(
% 0.12/0.38 (((~f(sK0_skl)|g(sK0_skl))&(~g(sK0_skl)|h(sK0_skl)))&(f(sK0_skl)&~h(sK0_skl)))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f3])).
% 0.12/0.38 fof(f5,plain,(
% 0.12/0.38 ~f(sK0_skl)|g(sK0_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.38 fof(f6,plain,(
% 0.12/0.38 ~g(sK0_skl)|h(sK0_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.38 fof(f7,plain,(
% 0.12/0.38 f(sK0_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.38 fof(f8,plain,(
% 0.12/0.38 ~h(sK0_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.38 fof(f9,plain,(
% 0.12/0.38 g(sK0_skl)),
% 0.12/0.38 inference(backward_subsumption_resolution,[status(thm)],[f5,f7])).
% 0.12/0.38 fof(f10,plain,(
% 0.12/0.38 ~g(sK0_skl)),
% 0.12/0.38 inference(backward_subsumption_resolution,[status(thm)],[f6,f8])).
% 0.12/0.38 fof(f11,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f10,f9])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.043287 seconds
% 0.12/0.40 % CPU time: 0.129711 seconds
% 0.12/0.40 % Total memory used: 48.317 MB
% 0.12/0.40 % Net memory used: 47.761 MB
%------------------------------------------------------------------------------