%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN012-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 03:18:43 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN012-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 10:40:17 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.39 fof(f1,negated_conjecture,(
% 0.11/0.39 (![X,Y]: (( ~ big_f(X,Y)| ~ big_f(X,g(X,Y))| big_g(Y,g(X,Y)) ) ))),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f2,negated_conjecture,(
% 0.11/0.39 (![X,Y]: (( ~ big_f(X,Y)| big_f(X,g(X,Y))| ~ big_g(Y,g(X,Y)) ) ))),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f3,negated_conjecture,(
% 0.11/0.39 (![X,Y]: (( ~ big_f(X,Y)| ~ big_f(g(X,Y),g(X,Y))| big_g(g(X,Y),g(X,Y)) ) ))),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f4,negated_conjecture,(
% 0.11/0.39 (![X,Y]: (( big_f(X,Y)| big_f(g(X,Y),g(X,Y)) ) ))),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f5,negated_conjecture,(
% 0.11/0.39 (![X,Y]: (( big_f(X,Y)| ~ big_g(g(X,Y),g(X,Y)) ) ))),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f6,negated_conjecture,(
% 0.11/0.39 (![X,Y]: (( big_g(X,Y)| big_g(g(X,Y),g(X,Y)) ) ))),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f7,negated_conjecture,(
% 0.11/0.39 (![X,Y]: (( ~ big_g(X,Y)| ~ big_g(g(X,Y),g(X,Y)) ) ))),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f8,plain,(
% 0.11/0.39 ![X0,X1]: (~big_f(X0,X1)|~big_f(X0,g(X0,X1))|big_g(X1,g(X0,X1)))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.39 fof(f9,plain,(
% 0.11/0.39 ![X0,X1]: (~big_f(X0,X1)|big_f(X0,g(X0,X1))|~big_g(X1,g(X0,X1)))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.39 fof(f10,plain,(
% 0.11/0.39 ![X0,X1]: (~big_f(X0,X1)|~big_f(g(X0,X1),g(X0,X1))|big_g(g(X0,X1),g(X0,X1)))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.39 fof(f11,plain,(
% 0.11/0.39 ![X0,X1]: (big_f(X0,X1)|big_f(g(X0,X1),g(X0,X1)))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.39 fof(f12,plain,(
% 0.11/0.39 ![X0,X1]: (big_f(X0,X1)|~big_g(g(X0,X1),g(X0,X1)))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.39 fof(f13,plain,(
% 0.11/0.39 ![X0,X1]: (big_g(X0,X1)|big_g(g(X0,X1),g(X0,X1)))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.39 fof(f14,plain,(
% 0.11/0.39 ![X0,X1]: (~big_g(X0,X1)|~big_g(g(X0,X1),g(X0,X1)))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.39 fof(f17,plain,(
% 0.11/0.39 ![X0,X1]: (big_g(X0,X1)|big_f(X0,X1))),
% 0.11/0.39 inference(resolution,[status(thm)],[f13,f12])).
% 0.11/0.39 fof(f18,plain,(
% 0.11/0.39 ![X0,X1]: (~big_f(X0,X1)|big_g(g(X0,X1),g(X0,X1)))),
% 0.11/0.39 inference(backward_subsumption_resolution,[status(thm)],[f10,f17])).
% 0.11/0.39 fof(f22,plain,(
% 0.11/0.39 ![X0,X1]: (big_f(X0,g(X1,X0))|~big_f(X1,X0)|big_f(X1,g(X1,X0)))),
% 0.11/0.39 inference(resolution,[status(thm)],[f17,f9])).
% 0.11/0.39 fof(f28,plain,(
% 0.11/0.39 ![X0,X1]: (big_f(g(X0,X1),g(g(X0,X1),g(X0,X1)))|big_f(g(X0,X1),g(g(X0,X1),g(X0,X1)))|big_f(X0,X1))),
% 0.11/0.39 inference(resolution,[status(thm)],[f22,f11])).
% 0.11/0.39 fof(f29,plain,(
% 0.11/0.39 ![X0,X1]: (big_f(g(X0,X1),g(g(X0,X1),g(X0,X1)))|big_f(X0,X1))),
% 0.11/0.39 inference(duplicate_literals_removal,[status(thm)],[f28])).
% 0.11/0.39 fof(f30,plain,(
% 0.11/0.39 ![X0,X1]: (big_f(X0,X1)|~big_f(g(X0,X1),g(X0,X1))|big_g(g(X0,X1),g(g(X0,X1),g(X0,X1))))),
% 0.11/0.39 inference(resolution,[status(thm)],[f29,f8])).
% 0.11/0.39 fof(f32,plain,(
% 0.11/0.39 ![X0,X1]: (big_f(X0,X1)|big_g(g(g(X0,X1),g(g(X0,X1),g(X0,X1))),g(g(X0,X1),g(g(X0,X1),g(X0,X1)))))),
% 0.11/0.39 inference(resolution,[status(thm)],[f29,f18])).
% 0.11/0.39 fof(f33,plain,(
% 0.11/0.39 ![X0,X1]: (big_f(X0,X1)|big_g(g(X0,X1),g(g(X0,X1),g(X0,X1))))),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f30,f11])).
% 0.11/0.39 fof(f39,plain,(
% 0.11/0.39 ![X0,X1]: (big_f(X0,X1)|~big_g(g(X0,X1),g(g(X0,X1),g(X0,X1))))),
% 0.11/0.39 inference(resolution,[status(thm)],[f32,f14])).
% 0.11/0.39 fof(f43,plain,(
% 0.11/0.39 ![X0,X1]: (big_g(g(X0,X1),g(X0,X1)))),
% 0.11/0.39 inference(backward_subsumption_resolution,[status(thm)],[f18,f44])).
% 0.11/0.39 fof(f44,plain,(
% 0.11/0.39 ![X0,X1]: (big_f(X0,X1))),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f39,f33])).
% 0.11/0.39 fof(f46,plain,(
% 0.11/0.39 ![X0,X1]: (~big_g(X0,X1))),
% 0.11/0.39 inference(backward_subsumption_resolution,[status(thm)],[f14,f43])).
% 0.11/0.39 fof(f48,plain,(
% 0.11/0.39 $false),
% 0.11/0.39 inference(backward_subsumption_resolution,[status(thm)],[f43,f46])).
% 0.11/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.032546 seconds
% 0.11/0.42 % CPU time: 0.099760 seconds
% 0.11/0.42 % Total memory used: 16.700 MB
% 0.11/0.42 % Net memory used: 16.212 MB
%------------------------------------------------------------------------------