%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN328-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 03:19:22 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN328-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n017.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 10:44:42 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37 fof(f2,negated_conjecture,(
% 0.09/0.37 (![X]: (( f(y(X))| f(X) ) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f3,negated_conjecture,(
% 0.09/0.37 (![X]: (( ~ g(y(X))| f(X) ) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f4,negated_conjecture,(
% 0.09/0.37 (![X]: (( ~ f(y(X))| h(y(X))| ~ g(X) ) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f6,negated_conjecture,(
% 0.09/0.37 (![X]: (( ~ h(y(X))| g(X) ) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f9,negated_conjecture,(
% 0.09/0.37 (![X]: (( ~ f(y(X))| g(y(X))| h(X) ) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f10,negated_conjecture,(
% 0.09/0.37 (![X]: (( ~ h(y(X))| h(X) ) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f11,negated_conjecture,(
% 0.09/0.37 (![X]: (( ~ f(z(X))| ~ g(z(X))| ~ h(z(X)) ) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f13,plain,(
% 0.09/0.37 ![X0]: (f(y(X0))|f(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.37 fof(f14,plain,(
% 0.09/0.37 ![X0]: (~g(y(X0))|f(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.37 fof(f15,plain,(
% 0.09/0.37 ![X0]: (~f(y(X0))|h(y(X0))|~g(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.37 fof(f17,plain,(
% 0.09/0.37 ![X0]: (~h(y(X0))|g(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.37 fof(f20,plain,(
% 0.09/0.37 ![X0]: (~f(y(X0))|g(y(X0))|h(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.37 fof(f21,plain,(
% 0.09/0.37 ![X0]: (~h(y(X0))|h(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.37 fof(f22,plain,(
% 0.09/0.37 ![X0]: (~f(z(X0))|~g(z(X0))|~h(z(X0)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.37 fof(f25,plain,(
% 0.09/0.37 ![X0]: (~f(y(X0))|h(X0)|f(X0))),
% 0.09/0.37 inference(resolution,[status(thm)],[f20,f14])).
% 0.09/0.37 fof(f27,plain,(
% 0.09/0.37 ![X0]: (h(X0)|f(X0))),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f25,f13])).
% 0.09/0.37 fof(f31,plain,(
% 0.09/0.37 ![X0]: (h(y(X0))|~g(X0))),
% 0.09/0.37 inference(backward_subsumption_resolution,[status(thm)],[f15,f27])).
% 0.09/0.37 fof(f33,plain,(
% 0.09/0.37 ![X0]: (f(y(X0))|h(X0))),
% 0.09/0.37 inference(resolution,[status(thm)],[f27,f21])).
% 0.09/0.37 fof(f38,plain,(
% 0.09/0.37 ![X0]: (g(y(X0))|h(X0))),
% 0.09/0.37 inference(backward_subsumption_resolution,[status(thm)],[f20,f33])).
% 0.09/0.37 fof(f40,plain,(
% 0.09/0.37 ![X0]: (h(X0)|h(y(y(X0))))),
% 0.09/0.37 inference(resolution,[status(thm)],[f38,f31])).
% 0.09/0.37 fof(f41,plain,(
% 0.09/0.37 ![X0]: (h(X0)|h(y(X0)))),
% 0.09/0.37 inference(resolution,[status(thm)],[f40,f21])).
% 0.09/0.37 fof(f44,plain,(
% 0.09/0.37 ![X0]: (h(X0))),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f41,f21])).
% 0.09/0.37 fof(f45,plain,(
% 0.09/0.37 ![X0]: (~f(z(X0))|~g(z(X0)))),
% 0.09/0.37 inference(backward_subsumption_resolution,[status(thm)],[f22,f44])).
% 0.09/0.37 fof(f46,plain,(
% 0.09/0.37 ![X0]: (g(X0))),
% 0.09/0.37 inference(backward_subsumption_resolution,[status(thm)],[f17,f44])).
% 0.09/0.37 fof(f47,plain,(
% 0.09/0.37 ![X0]: (f(X0))),
% 0.09/0.37 inference(backward_subsumption_resolution,[status(thm)],[f14,f46])).
% 0.09/0.37 fof(f48,plain,(
% 0.09/0.37 ![X0]: (~g(z(X0)))),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f45,f47])).
% 0.09/0.37 fof(f49,plain,(
% 0.09/0.37 $false),
% 0.09/0.37 inference(resolution,[status(thm)],[f48,f46])).
% 0.09/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.042044 seconds
% 0.13/0.40 % CPU time: 0.041370 seconds
% 0.13/0.40 % Total memory used: 1.583 MB
% 0.13/0.40 % Net memory used: 1.551 MB
%------------------------------------------------------------------------------