%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN352-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 0.15s 10.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN352-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/10.38 % Computer : n017.cluster.edu
% 0.11/10.38 % Model : x86_64 x86_64
% 0.11/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.38 % Memory : 8046.5625MB
% 0.11/10.38 % OS : Linux 6.8.0-71-generic
% 0.11/10.38 % CPULimit : 300
% 0.11/10.38 % WCLimit : 300
% 0.11/10.38 % DateTime : Mon Sep 21 10:46:37 UTC 2026
% 0.11/10.38 % CPUTime :
% 0.11/10.39 % Drodi V4.1.1
% 0.15/10.41 % Refutation found
% 0.15/10.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/10.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/10.41 fof(f1,negated_conjecture,(
% 0.15/10.41 f(a,b) ),
% 0.15/10.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.41 fof(f2,negated_conjecture,(
% 0.15/10.41 (![X,Y]: (( ~ f(X,Y)| f(b,z(X,Y))| f(Y,z(X,Y)) ) ))),
% 0.15/10.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.41 fof(f3,negated_conjecture,(
% 0.15/10.41 (![X,Y]: (( f(X,Y)| f(z(X,Y),z(X,Y)) ) ))),
% 0.15/10.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.41 fof(f6,negated_conjecture,(
% 0.15/10.41 (![X,Y]: (( ~ f(X,Y)| ~ f(X,z(X,Y))| ~ f(Y,z(X,Y)) ) ))),
% 0.15/10.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.41 fof(f7,negated_conjecture,(
% 0.15/10.41 (![X,Y]: (( ~ f(X,Y)| f(X,z(X,Y))| f(Y,z(X,Y)) ) ))),
% 0.15/10.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.41 fof(f8,plain,(
% 0.15/10.41 f(a,b)),
% 0.15/10.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/10.41 fof(f9,plain,(
% 0.15/10.41 ![X0,X1]: (~f(X0,X1)|f(b,z(X0,X1))|f(X1,z(X0,X1)))),
% 0.15/10.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/10.41 fof(f10,plain,(
% 0.15/10.41 ![X0,X1]: (f(X0,X1)|f(z(X0,X1),z(X0,X1)))),
% 0.15/10.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/10.41 fof(f13,plain,(
% 0.15/10.41 ![X0,X1]: (~f(X0,X1)|~f(X0,z(X0,X1))|~f(X1,z(X0,X1)))),
% 0.15/10.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/10.41 fof(f14,plain,(
% 0.15/10.41 ![X0,X1]: (~f(X0,X1)|f(X0,z(X0,X1))|f(X1,z(X0,X1)))),
% 0.15/10.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/10.41 fof(f16,plain,(
% 0.15/10.41 f(b,z(a,b))|f(b,z(a,b))),
% 0.15/10.41 inference(resolution,[status(thm)],[f9,f8])).
% 0.15/10.41 fof(f17,definition,(
% 0.15/10.41 sQ0_spl <=> (f(b,z(a,b)))),
% 0.15/10.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/10.41 fof(f18,plain,(
% 0.15/10.41 f(b,z(a,b))|~sQ0_spl),
% 0.15/10.41 inference(component_clause,[status(thm)],[f17])).
% 0.15/10.41 fof(f20,plain,(
% 0.15/10.41 sQ0_spl),
% 0.15/10.41 inference(split_clause,[status(thm)],[f16,f17])).
% 0.15/10.41 fof(f21,plain,(
% 0.15/10.41 ~f(a,b)|~f(a,z(a,b))|~sQ0_spl),
% 0.15/10.41 inference(resolution,[status(thm)],[f18,f13])).
% 0.15/10.41 fof(f23,definition,(
% 0.15/10.41 sQ1_spl <=> (f(a,b))),
% 0.15/10.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/10.41 fof(f25,plain,(
% 0.15/10.41 ~f(a,b)|sQ1_spl),
% 0.15/10.41 inference(component_clause,[status(thm)],[f23])).
% 0.15/10.41 fof(f26,definition,(
% 0.15/10.41 sQ2_spl <=> (f(a,z(a,b)))),
% 0.15/10.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/10.41 fof(f28,plain,(
% 0.15/10.41 ~f(a,z(a,b))|sQ2_spl),
% 0.15/10.41 inference(component_clause,[status(thm)],[f26])).
% 0.15/10.41 fof(f29,plain,(
% 0.15/10.41 ~sQ1_spl|~sQ2_spl|~sQ0_spl),
% 0.15/10.41 inference(split_clause,[status(thm)],[f21,f23,f26,f17])).
% 0.15/10.41 fof(f37,plain,(
% 0.15/10.41 $false|sQ1_spl),
% 0.15/10.41 inference(forward_subsumption_resolution,[status(thm)],[f25,f8])).
% 0.15/10.41 fof(f38,plain,(
% 0.15/10.41 sQ1_spl),
% 0.15/10.41 inference(contradiction_clause,[status(thm)],[f37])).
% 0.15/10.41 fof(f48,plain,(
% 0.15/10.41 ![X0,X1]: (f(z(X0,X1),z(z(X0,X1),z(X0,X1)))|f(z(X0,X1),z(z(X0,X1),z(X0,X1)))|f(X0,X1))),
% 0.15/10.41 inference(resolution,[status(thm)],[f14,f10])).
% 0.15/10.41 fof(f51,plain,(
% 0.15/10.41 ![X0,X1]: (f(z(X0,X1),z(z(X0,X1),z(X0,X1)))|f(X0,X1))),
% 0.15/10.41 inference(duplicate_literals_removal,[status(thm)],[f48])).
% 0.15/10.41 fof(f72,plain,(
% 0.15/10.41 ![X0,X1]: (f(X0,X1)|~f(z(X0,X1),z(X0,X1))|~f(z(X0,X1),z(z(X0,X1),z(X0,X1))))),
% 0.15/10.41 inference(resolution,[status(thm)],[f51,f13])).
% 0.15/10.41 fof(f75,plain,(
% 0.15/10.41 ![X0,X1]: (f(X0,X1)|~f(z(X0,X1),z(z(X0,X1),z(X0,X1))))),
% 0.15/10.41 inference(forward_subsumption_resolution,[status(thm)],[f72,f10])).
% 0.15/10.41 fof(f78,plain,(
% 0.15/10.41 $false|sQ2_spl),
% 0.15/10.41 inference(backward_subsumption_resolution,[status(thm)],[f28,f79])).
% 0.15/10.41 fof(f79,plain,(
% 0.15/10.41 ![X0,X1]: (f(X0,X1))),
% 0.15/10.41 inference(forward_subsumption_resolution,[status(thm)],[f75,f51])).
% 0.15/10.41 fof(f82,plain,(
% 0.15/10.41 sQ2_spl),
% 0.15/10.41 inference(contradiction_clause,[status(thm)],[f78])).
% 0.15/10.41 fof(f83,plain,(
% 0.15/10.41 $false),
% 0.15/10.41 inference(sat_refutation,[status(thm)],[f20,f29,f38,f82])).
% 0.15/10.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/10.43 % Elapsed time: 0.039755 seconds
% 0.15/10.43 % CPU time: 0.105132 seconds
% 0.15/10.43 % Total memory used: 15.048 MB
% 0.15/10.43 % Net memory used: 14.601 MB
%------------------------------------------------------------------------------