%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN327-1 : 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 : n013.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 0.17s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN327-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n013.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 10:49:06 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.46 % Refutation found
% 0.17/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.46 fof(f1,negated_conjecture,(
% 0.17/0.46 (![Y]: (( f(Y,a)| f(a,Y) ) ))),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f2,negated_conjecture,(
% 0.17/0.46 (![Y]: (( f(Y,a)| ~ f(a,z(Y)) ) ))),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f4,negated_conjecture,(
% 0.17/0.46 (![Y]: (( f(a,z(Y))| ~ f(Y,a)| ~ f(z(Y),Y) ) ))),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f5,negated_conjecture,(
% 0.17/0.46 (![Y]: (( ~ f(a,Y)| ~ f(a,z(Y)) ) ))),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f7,plain,(
% 0.17/0.46 ![X0]: (f(X0,a)|f(a,X0))),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f1])).
% 0.17/0.46 fof(f8,plain,(
% 0.17/0.46 ![X0]: (f(X0,a)|~f(a,z(X0)))),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/0.46 fof(f10,plain,(
% 0.17/0.46 ![X0]: (f(a,z(X0))|~f(X0,a)|~f(z(X0),X0))),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/0.46 fof(f11,plain,(
% 0.17/0.46 ![X0]: (~f(a,X0)|~f(a,z(X0)))),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/0.46 fof(f15,plain,(
% 0.17/0.46 f(a,z(a))|~f(a,a)|f(a,z(a))),
% 0.17/0.46 inference(resolution,[status(thm)],[f10,f7])).
% 0.17/0.46 fof(f16,definition,(
% 0.17/0.46 sQ0_spl <=> (f(a,z(a)))),
% 0.17/0.46 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.17/0.46 fof(f17,plain,(
% 0.17/0.46 f(a,z(a))|~sQ0_spl),
% 0.17/0.46 inference(component_clause,[status(thm)],[f16])).
% 0.17/0.46 fof(f19,definition,(
% 0.17/0.46 sQ1_spl <=> (f(a,a))),
% 0.17/0.46 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.17/0.46 fof(f21,plain,(
% 0.17/0.46 ~f(a,a)|sQ1_spl),
% 0.17/0.46 inference(component_clause,[status(thm)],[f19])).
% 0.17/0.46 fof(f22,plain,(
% 0.17/0.46 sQ0_spl|~sQ1_spl),
% 0.17/0.46 inference(split_clause,[status(thm)],[f15,f16,f19])).
% 0.17/0.46 fof(f23,plain,(
% 0.17/0.46 f(a,a)|~sQ0_spl),
% 0.17/0.46 inference(resolution,[status(thm)],[f17,f8])).
% 0.17/0.46 fof(f24,plain,(
% 0.17/0.46 ~f(a,a)|~sQ0_spl),
% 0.17/0.46 inference(resolution,[status(thm)],[f11,f17])).
% 0.17/0.46 fof(f27,plain,(
% 0.17/0.46 $false|~sQ0_spl),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f24,f23])).
% 0.17/0.46 fof(f28,plain,(
% 0.17/0.46 ~sQ0_spl),
% 0.17/0.46 inference(contradiction_clause,[status(thm)],[f27])).
% 0.17/0.46 fof(f29,plain,(
% 0.17/0.46 $false|sQ1_spl),
% 0.17/0.46 inference(resolution,[status(thm)],[f21,f7])).
% 0.17/0.46 fof(f33,plain,(
% 0.17/0.46 sQ1_spl),
% 0.17/0.46 inference(contradiction_clause,[status(thm)],[f29])).
% 0.17/0.46 fof(f34,plain,(
% 0.17/0.46 $false),
% 0.17/0.46 inference(sat_refutation,[status(thm)],[f22,f28,f33])).
% 0.17/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.55 % Elapsed time: 0.108866 seconds
% 0.17/0.55 % CPU time: 0.063280 seconds
% 0.17/0.55 % Total memory used: 517.008 KB
% 0.17/0.55 % Net memory used: 515.616 KB
%------------------------------------------------------------------------------