%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN350-1 : 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 03:19:27 PM UTC 2026
% Result : Unsatisfiable 0.14s 15.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN350-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/15.37 % Computer : n013.cluster.edu
% 0.09/15.37 % Model : x86_64 x86_64
% 0.09/15.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.37 % Memory : 8046.5625MB
% 0.09/15.37 % OS : Linux 6.8.0-71-generic
% 0.09/15.37 % CPULimit : 300
% 0.09/15.37 % WCLimit : 300
% 0.09/15.37 % DateTime : Mon Sep 21 10:50:38 UTC 2026
% 0.09/15.38 % CPUTime :
% 0.09/15.38 % Drodi V4.1.1
% 0.14/15.40 % Refutation found
% 0.14/15.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/15.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/15.40 fof(f1,negated_conjecture,(
% 0.14/15.40 (![X,Y]: (( ~ f(a,z(X,Y))| f(z(X,Y),a) ) ))),
% 0.14/15.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.40 fof(f3,negated_conjecture,(
% 0.14/15.40 (![X,Y]: (( f(a,z(X,Y))| f(Y,z(X,Y))| f(X,z(X,Y)) ) ))),
% 0.14/15.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.40 fof(f5,negated_conjecture,(
% 0.14/15.40 (![X,Y]: (( f(a,z(X,Y))| f(Y,z(X,Y))| ~ f(X,Y) ) ))),
% 0.14/15.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.40 fof(f6,negated_conjecture,(
% 0.14/15.40 (![X,Y]: (( ~ f(a,z(X,Y))| ~ f(Y,z(X,Y))| ~ f(X,Y) ) ))),
% 0.14/15.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.40 fof(f7,plain,(
% 0.14/15.40 ![X0,X1]: (~f(a,z(X0,X1))|f(z(X0,X1),a))),
% 0.14/15.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/15.40 fof(f9,plain,(
% 0.14/15.40 ![X0,X1]: (f(a,z(X0,X1))|f(X1,z(X0,X1))|f(X0,z(X0,X1)))),
% 0.14/15.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/15.40 fof(f11,plain,(
% 0.14/15.40 ![X0,X1]: (f(a,z(X0,X1))|f(X1,z(X0,X1))|~f(X0,X1))),
% 0.14/15.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/15.40 fof(f12,plain,(
% 0.14/15.40 ![X0,X1]: (~f(a,z(X0,X1))|~f(X1,z(X0,X1))|~f(X0,X1))),
% 0.14/15.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/15.40 fof(f13,plain,(
% 0.14/15.40 f(z(a,a),a)),
% 0.14/15.40 inference(resolution,[status(thm)],[f9,f7])).
% 0.14/15.40 fof(f33,definition,(
% 0.14/15.40 sQ3_spl <=> (f(z(a,a),a))),
% 0.14/15.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/15.40 fof(f35,plain,(
% 0.14/15.40 ~f(z(a,a),a)|sQ3_spl),
% 0.14/15.40 inference(component_clause,[status(thm)],[f33])).
% 0.14/15.40 fof(f40,plain,(
% 0.14/15.40 f(a,z(z(a,a),a))|f(a,z(z(a,a),a))),
% 0.14/15.40 inference(resolution,[status(thm)],[f13,f11])).
% 0.14/15.40 fof(f41,definition,(
% 0.14/15.40 sQ4_spl <=> (f(a,z(z(a,a),a)))),
% 0.14/15.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/15.40 fof(f42,plain,(
% 0.14/15.40 f(a,z(z(a,a),a))|~sQ4_spl),
% 0.14/15.40 inference(component_clause,[status(thm)],[f41])).
% 0.14/15.40 fof(f44,plain,(
% 0.14/15.40 sQ4_spl),
% 0.14/15.40 inference(split_clause,[status(thm)],[f40,f41])).
% 0.14/15.40 fof(f74,plain,(
% 0.14/15.40 ~f(a,z(z(a,a),a))|~f(z(a,a),a)|~sQ4_spl),
% 0.14/15.40 inference(resolution,[status(thm)],[f12,f42])).
% 0.14/15.40 fof(f83,plain,(
% 0.14/15.40 ~sQ4_spl|~sQ3_spl),
% 0.14/15.40 inference(split_clause,[status(thm)],[f74,f41,f33])).
% 0.14/15.40 fof(f92,plain,(
% 0.14/15.40 $false|sQ3_spl),
% 0.14/15.40 inference(forward_subsumption_resolution,[status(thm)],[f35,f13])).
% 0.14/15.40 fof(f93,plain,(
% 0.14/15.40 sQ3_spl),
% 0.14/15.40 inference(contradiction_clause,[status(thm)],[f92])).
% 0.14/15.40 fof(f94,plain,(
% 0.14/15.40 $false),
% 0.14/15.40 inference(sat_refutation,[status(thm)],[f44,f83,f93])).
% 0.14/15.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/15.42 % Elapsed time: 0.034664 seconds
% 0.14/15.42 % CPU time: 0.097843 seconds
% 0.14/15.42 % Total memory used: 12.585 MB
% 0.14/15.42 % Net memory used: 12.236 MB
%------------------------------------------------------------------------------