%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN002-1.007.008 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 03:18:42 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN002-1.007.008 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.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 10:34:12 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,negated_conjecture,(
% 0.12/0.39 (![X]: (( p(X)| p(f(f(f(f(f(f(f(X)))))))) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f2,negated_conjecture,(
% 0.12/0.39 (![X]: (( ~ p(X)| ~ p(f(f(f(f(f(f(f(f(X))))))))) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f3,plain,(
% 0.12/0.39 ![X0]: (p(X0)|p(f(f(f(f(f(f(f(X0)))))))))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.39 fof(f4,plain,(
% 0.12/0.39 ![X0]: (~p(X0)|~p(f(f(f(f(f(f(f(f(X0))))))))))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.39 fof(f5,plain,(
% 0.12/0.39 ![X0]: (~p(X0)|p(f(X0)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f4,f3])).
% 0.12/0.39 fof(f6,plain,(
% 0.12/0.39 ![X0]: (~p(f(f(f(f(f(f(f(X0))))))))|~p(X0))),
% 0.12/0.39 inference(resolution,[status(thm)],[f5,f4])).
% 0.12/0.39 fof(f8,plain,(
% 0.12/0.39 ![X0]: (~p(X0)|~p(f(f(f(f(f(f(X0))))))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f6,f5])).
% 0.12/0.39 fof(f10,plain,(
% 0.12/0.39 ![X0]: (~p(X0)|~p(f(f(f(f(f(X0)))))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f8,f5])).
% 0.12/0.39 fof(f14,plain,(
% 0.12/0.39 ![X0]: (~p(X0)|~p(f(f(f(f(X0))))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f10,f5])).
% 0.12/0.39 fof(f17,plain,(
% 0.12/0.39 ![X0]: (~p(f(f(f(X0))))|p(X0))),
% 0.12/0.39 inference(resolution,[status(thm)],[f14,f3])).
% 0.12/0.39 fof(f18,plain,(
% 0.12/0.39 ![X0]: (~p(X0)|~p(f(f(f(X0)))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f14,f5])).
% 0.12/0.39 fof(f19,plain,(
% 0.12/0.39 ![X0]: (p(X0))),
% 0.12/0.39 inference(backward_subsumption_resolution,[status(thm)],[f3,f22])).
% 0.12/0.39 fof(f22,plain,(
% 0.12/0.39 ![X0]: (~p(f(f(f(X0)))))),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f18,f17])).
% 0.12/0.39 fof(f24,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(backward_subsumption_resolution,[status(thm)],[f22,f19])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.046931 seconds
% 0.12/0.42 % CPU time: 0.121995 seconds
% 0.12/0.42 % Total memory used: 16.632 MB
% 0.12/0.42 % Net memory used: 16.033 MB
%------------------------------------------------------------------------------