%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN332-1 : 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 : n019.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 03:19:23 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN332-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n019.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 10:50:20 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f1,negated_conjecture,(
% 0.12/0.37 (![X,Y]: (( f(X,Y)| f(X,z(X,Y)) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f2,negated_conjecture,(
% 0.12/0.37 (![Y,X]: (( f(Y,X)| f(X,z(X,Y)) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f5,negated_conjecture,(
% 0.12/0.37 (![X,Y]: (( ~ f(X,z(X,Y))| f(z(X,Y),X) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f7,negated_conjecture,(
% 0.12/0.37 (![X,Y]: (( ~ f(X,z(X,Y))| f(Y,z(X,Y)) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f8,negated_conjecture,(
% 0.12/0.37 (![Y,X]: (( ~ f(Y,X)| f(X,Y)| ~ f(z(X,Y),z(X,Y)) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f13,negated_conjecture,(
% 0.12/0.37 (![X,Y]: (( f(X,Y)| f(Y,X)| ~ f(z(X,Y),Y) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f14,negated_conjecture,(
% 0.12/0.37 (![X,Y]: (( ~ f(X,Y)| ~ f(Y,X)| ~ f(z(X,Y),Y) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f15,plain,(
% 0.12/0.37 ![X0,X1]: (f(X0,X1)|f(X0,z(X0,X1)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.37 fof(f16,plain,(
% 0.12/0.37 ![X0,X1]: (f(X0,X1)|f(X1,z(X1,X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.37 fof(f19,plain,(
% 0.12/0.37 ![X0,X1]: (~f(X0,z(X0,X1))|f(z(X0,X1),X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.37 fof(f21,plain,(
% 0.12/0.37 ![X0,X1]: (~f(X0,z(X0,X1))|f(X1,z(X0,X1)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.37 fof(f22,plain,(
% 0.12/0.37 ![X0,X1]: (~f(X0,X1)|f(X1,X0)|~f(z(X1,X0),z(X1,X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.37 fof(f27,plain,(
% 0.12/0.37 ![X0,X1]: (f(X0,X1)|f(X1,X0)|~f(z(X0,X1),X1))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.37 fof(f28,plain,(
% 0.12/0.37 ![X0,X1]: (~f(X0,X1)|~f(X1,X0)|~f(z(X0,X1),X1))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.37 fof(f30,plain,(
% 0.12/0.37 ![X0,X1]: (f(X0,X1)|f(X1,z(X0,X1)))),
% 0.12/0.37 inference(resolution,[status(thm)],[f15,f21])).
% 0.12/0.37 fof(f37,plain,(
% 0.12/0.37 ![X0,X1]: (f(X0,X1)|f(z(X1,X0),X1))),
% 0.12/0.37 inference(resolution,[status(thm)],[f16,f19])).
% 0.12/0.37 fof(f57,plain,(
% 0.12/0.37 ![X0]: (f(X0,X0)|f(X0,X0)|f(X0,X0))),
% 0.12/0.37 inference(resolution,[status(thm)],[f27,f37])).
% 0.12/0.37 fof(f59,plain,(
% 0.12/0.37 ![X0,X1]: (~f(X0,X1)|f(X1,X0))),
% 0.12/0.37 inference(backward_subsumption_resolution,[status(thm)],[f22,f60])).
% 0.12/0.37 fof(f60,plain,(
% 0.12/0.37 ![X0]: (f(X0,X0))),
% 0.12/0.37 inference(duplicate_literals_removal,[status(thm)],[f57])).
% 0.12/0.37 fof(f62,plain,(
% 0.12/0.37 ![X0,X1]: (f(X0,X1)|~f(z(X0,X1),X1))),
% 0.12/0.37 inference(backward_subsumption_resolution,[status(thm)],[f27,f59])).
% 0.12/0.37 fof(f63,plain,(
% 0.12/0.37 ![X0,X1]: (~f(X0,X1)|~f(z(X1,X0),X0))),
% 0.12/0.37 inference(backward_subsumption_resolution,[status(thm)],[f28,f59])).
% 0.12/0.37 fof(f69,plain,(
% 0.12/0.37 ![X0,X1]: (f(X0,X1)|~f(X1,z(X0,X1)))),
% 0.12/0.37 inference(resolution,[status(thm)],[f62,f59])).
% 0.12/0.37 fof(f72,plain,(
% 0.12/0.37 ![X0,X1]: (~f(X0,X1))),
% 0.12/0.37 inference(backward_subsumption_resolution,[status(thm)],[f63,f74])).
% 0.12/0.37 fof(f74,plain,(
% 0.12/0.37 ![X0,X1]: (f(X0,X1))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f69,f30])).
% 0.12/0.37 fof(f75,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f72,f74])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.044097 seconds
% 0.12/0.39 % CPU time: 0.113096 seconds
% 0.12/0.39 % Total memory used: 16.840 MB
% 0.12/0.39 % Net memory used: 16.375 MB
%------------------------------------------------------------------------------