%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN349-1 : 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 : 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 03:19:26 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN349-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.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 10:51:49 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,negated_conjecture,(
% 0.13/0.38 (![X,Y]: (( f(X,g(X,Y))| ~ f(w(X),g(X,Y)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,negated_conjecture,(
% 0.13/0.38 (![X,Y]: (( ~ f(X,g(X,Y))| f(w(X),g(X,Y)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,negated_conjecture,(
% 0.13/0.38 (![X,Y]: (( ~ f(X,g(X,Y))| f(g(X,Y),Y)| ~ f(Y,g(X,Y))| f(g(X,Y),w(X)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,negated_conjecture,(
% 0.13/0.38 (![X,Y]: (( f(X,g(X,Y))| f(g(X,Y),Y)| f(Y,g(X,Y))| f(g(X,Y),w(X)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f8,negated_conjecture,(
% 0.13/0.38 (![X,Y]: (( f(X,g(X,Y))| ~ f(g(X,Y),Y)| f(Y,g(X,Y))| ~ f(g(X,Y),w(X)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f10,negated_conjecture,(
% 0.13/0.38 (![X,Y]: (( ~ f(X,g(X,Y))| ~ f(g(X,Y),Y)| ~ f(Y,g(X,Y))| ~ f(g(X,Y),w(X)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f11,plain,(
% 0.13/0.38 ![X0,X1]: (f(X0,g(X0,X1))|~f(w(X0),g(X0,X1)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f12,plain,(
% 0.13/0.38 ![X0,X1]: (~f(X0,g(X0,X1))|f(w(X0),g(X0,X1)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f13,plain,(
% 0.13/0.38 ![X0,X1]: (~f(X0,g(X0,X1))|f(g(X0,X1),X1)|~f(X1,g(X0,X1))|f(g(X0,X1),w(X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f15,plain,(
% 0.13/0.38 ![X0,X1]: (f(X0,g(X0,X1))|f(g(X0,X1),X1)|f(X1,g(X0,X1))|f(g(X0,X1),w(X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.38 fof(f18,plain,(
% 0.13/0.38 ![X0,X1]: (f(X0,g(X0,X1))|~f(g(X0,X1),X1)|f(X1,g(X0,X1))|~f(g(X0,X1),w(X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.38 fof(f20,plain,(
% 0.13/0.38 ![X0,X1]: (~f(X0,g(X0,X1))|~f(g(X0,X1),X1)|~f(X1,g(X0,X1))|~f(g(X0,X1),w(X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.38 fof(f35,plain,(
% 0.13/0.38 ![X0]: (f(X0,g(X0,w(X0)))|~f(g(X0,w(X0)),w(X0))|f(w(X0),g(X0,w(X0)))|f(X0,g(X0,w(X0)))|f(w(X0),g(X0,w(X0))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f18,f15])).
% 0.13/0.38 fof(f39,plain,(
% 0.13/0.38 ![X0]: (f(X0,g(X0,w(X0)))|~f(g(X0,w(X0)),w(X0))|f(w(X0),g(X0,w(X0))))),
% 0.13/0.38 inference(duplicate_literals_removal,[status(thm)],[f35])).
% 0.13/0.38 fof(f40,plain,(
% 0.13/0.38 ![X0]: (~f(g(X0,w(X0)),w(X0))|f(w(X0),g(X0,w(X0))))),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f39,f12])).
% 0.13/0.38 fof(f43,plain,(
% 0.13/0.38 ![X0]: (f(w(X0),g(X0,w(X0)))|f(X0,g(X0,w(X0)))|f(w(X0),g(X0,w(X0))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f40,f15])).
% 0.13/0.38 fof(f47,plain,(
% 0.13/0.38 ![X0]: (f(w(X0),g(X0,w(X0)))|f(X0,g(X0,w(X0))))),
% 0.13/0.38 inference(duplicate_literals_removal,[status(thm)],[f43])).
% 0.13/0.38 fof(f48,plain,(
% 0.13/0.38 ![X0]: (f(X0,g(X0,w(X0))))),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f47,f11])).
% 0.13/0.38 fof(f55,plain,(
% 0.13/0.38 ![X0]: (f(g(X0,w(X0)),w(X0))|~f(w(X0),g(X0,w(X0)))|f(g(X0,w(X0)),w(X0)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f48,f13])).
% 0.13/0.38 fof(f56,plain,(
% 0.13/0.38 ![X0]: (f(w(X0),g(X0,w(X0))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f48,f12])).
% 0.13/0.38 fof(f57,plain,(
% 0.13/0.38 ![X0]: (f(g(X0,w(X0)),w(X0))|~f(w(X0),g(X0,w(X0))))),
% 0.13/0.38 inference(duplicate_literals_removal,[status(thm)],[f55])).
% 0.13/0.38 fof(f59,plain,(
% 0.13/0.38 ![X0]: (f(g(X0,w(X0)),w(X0)))),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f57,f56])).
% 0.13/0.38 fof(f62,plain,(
% 0.13/0.38 ![X0]: (~f(X0,g(X0,w(X0)))|~f(g(X0,w(X0)),w(X0))|~f(w(X0),g(X0,w(X0))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f59,f20])).
% 0.13/0.38 fof(f65,plain,(
% 0.13/0.38 ![X0]: (~f(g(X0,w(X0)),w(X0))|~f(w(X0),g(X0,w(X0))))),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f62,f11])).
% 0.13/0.38 fof(f67,plain,(
% 0.13/0.38 ![X0]: (~f(w(X0),g(X0,w(X0))))),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f65,f59])).
% 0.13/0.38 fof(f68,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(backward_subsumption_resolution,[status(thm)],[f56,f67])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.047097 seconds
% 0.13/0.42 % CPU time: 0.120910 seconds
% 0.13/0.42 % Total memory used: 16.763 MB
% 0.13/0.42 % Net memory used: 16.283 MB
%------------------------------------------------------------------------------