%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN345-1 : 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 : n011.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 0.09s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN345-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 10:50:40 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37 fof(f1,negated_conjecture,(
% 0.09/0.37 (![Y1]: (( f(a,b,Y1)| ~ f(a,a,b)| f(a,b,b) ) ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f2,negated_conjecture,(
% 0.09/0.37 (![Y2,Y1]: (( ~ f(Y2,Y1,z(Y1,Y2))| ~ f(a,a,b)| f(a,b,b) ) ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f3,negated_conjecture,(
% 0.09/0.37 (![Y1,Y2]: (( f(b,Y1,Y2)| f(a,a,b)| ~ f(a,b,b) ) ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f4,negated_conjecture,(
% 0.09/0.37 (![Y1,Y2]: (( ~ f(Y1,z(Y1,Y2),z(Y1,Y2))| f(a,a,b)| ~ f(a,b,b) ) ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f5,negated_conjecture,(
% 0.09/0.37 (![Y1,Y2]: (( f(Y1,Y2,z(Y1,Y2))| f(a,a,b)| f(a,b,b) ) ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f6,negated_conjecture,(
% 0.09/0.37 (![Y1,Y2]: (( f(Y1,Y2,z(Y1,Y2))| ~ f(a,a,b)| ~ f(a,b,b) ) ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f7,negated_conjecture,(
% 0.09/0.37 (![Y1]: (( ~ f(b,b,Y1)| f(a,a,b)| f(a,b,b) ) ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f8,negated_conjecture,(
% 0.09/0.37 (![Y1]: (( ~ f(b,b,Y1)| ~ f(a,a,b)| ~ f(a,b,b) ) ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f9,plain,(
% 0.09/0.37 ((![Y1]: f(a,b,Y1))|~f(a,a,b))|f(a,b,b)),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f1])).
% 0.09/0.37 fof(f10,plain,(
% 0.09/0.37 ![X0]: (f(a,b,X0)|~f(a,a,b)|f(a,b,b))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.37 fof(f11,plain,(
% 0.09/0.37 ((![Y2,Y1]: ~f(Y2,Y1,z(Y1,Y2)))|~f(a,a,b))|f(a,b,b)),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f2])).
% 0.09/0.37 fof(f12,plain,(
% 0.09/0.37 ![X0,X1]: (~f(X0,X1,z(X1,X0))|~f(a,a,b)|f(a,b,b))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.37 fof(f13,plain,(
% 0.09/0.37 ((![Y1,Y2]: f(b,Y1,Y2))|f(a,a,b))|~f(a,b,b)),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f3])).
% 0.09/0.37 fof(f14,plain,(
% 0.09/0.37 ![X0,X1]: (f(b,X0,X1)|f(a,a,b)|~f(a,b,b))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.37 fof(f15,plain,(
% 0.09/0.37 ((![Y1,Y2]: ~f(Y1,z(Y1,Y2),z(Y1,Y2)))|f(a,a,b))|~f(a,b,b)),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f4])).
% 0.09/0.37 fof(f16,plain,(
% 0.09/0.37 ![X0,X1]: (~f(X0,z(X0,X1),z(X0,X1))|f(a,a,b)|~f(a,b,b))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.37 fof(f17,plain,(
% 0.09/0.37 ((![Y1,Y2]: f(Y1,Y2,z(Y1,Y2)))|f(a,a,b))|f(a,b,b)),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f5])).
% 0.09/0.37 fof(f18,plain,(
% 0.09/0.37 ![X0,X1]: (f(X0,X1,z(X0,X1))|f(a,a,b)|f(a,b,b))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.37 fof(f19,plain,(
% 0.09/0.37 ((![Y1,Y2]: f(Y1,Y2,z(Y1,Y2)))|~f(a,a,b))|~f(a,b,b)),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f6])).
% 0.09/0.37 fof(f20,plain,(
% 0.09/0.37 ![X0,X1]: (f(X0,X1,z(X0,X1))|~f(a,a,b)|~f(a,b,b))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.37 fof(f21,plain,(
% 0.09/0.37 ((![Y1]: ~f(b,b,Y1))|f(a,a,b))|f(a,b,b)),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f7])).
% 0.09/0.37 fof(f22,plain,(
% 0.09/0.37 ![X0]: (~f(b,b,X0)|f(a,a,b)|f(a,b,b))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f21])).
% 0.09/0.37 fof(f23,plain,(
% 0.09/0.37 ((![Y1]: ~f(b,b,Y1))|~f(a,a,b))|~f(a,b,b)),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f8])).
% 0.09/0.37 fof(f24,plain,(
% 0.09/0.37 ![X0]: (~f(b,b,X0)|~f(a,a,b)|~f(a,b,b))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.37 fof(f25,definition,(
% 0.09/0.37 ![X0]: (sQ0_spl <=> (f(a,b,X0)))),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.37 fof(f26,plain,(
% 0.09/0.37 ![X0]: (f(a,b,X0)|~sQ0_spl)),
% 0.09/0.37 inference(component_clause,[status(thm)],[f25])).
% 0.09/0.37 fof(f28,definition,(
% 0.09/0.37 sQ1_spl <=> (f(a,a,b))),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.37 fof(f31,definition,(
% 0.09/0.37 sQ2_spl <=> (f(a,b,b))),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.37 fof(f34,plain,(
% 0.09/0.37 sQ0_spl|~sQ1_spl|sQ2_spl),
% 0.09/0.37 inference(split_clause,[status(thm)],[f10,f25,f28,f31])).
% 0.09/0.37 fof(f35,definition,(
% 0.09/0.37 ![X0,X1]: (sQ3_spl <=> (~f(X0,X1,z(X1,X0))))),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.37 fof(f36,plain,(
% 0.09/0.37 ![X0,X1]: (~f(X0,X1,z(X1,X0))|~sQ3_spl)),
% 0.09/0.37 inference(component_clause,[status(thm)],[f35])).
% 0.09/0.37 fof(f38,plain,(
% 0.09/0.37 sQ3_spl|~sQ1_spl|sQ2_spl),
% 0.09/0.37 inference(split_clause,[status(thm)],[f12,f35,f28,f31])).
% 0.09/0.37 fof(f39,definition,(
% 0.09/0.37 ![X0,X1]: (sQ4_spl <=> (f(b,X0,X1)))),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.37 fof(f40,plain,(
% 0.09/0.37 ![X0,X1]: (f(b,X0,X1)|~sQ4_spl)),
% 0.09/0.37 inference(component_clause,[status(thm)],[f39])).
% 0.09/0.37 fof(f42,plain,(
% 0.09/0.37 sQ4_spl|sQ1_spl|~sQ2_spl),
% 0.09/0.37 inference(split_clause,[status(thm)],[f14,f39,f28,f31])).
% 0.09/0.37 fof(f43,definition,(
% 0.09/0.37 ![X0,X1]: (sQ5_spl <=> (~f(X0,z(X0,X1),z(X0,X1))))),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.37 fof(f44,plain,(
% 0.09/0.37 ![X0,X1]: (~f(X0,z(X0,X1),z(X0,X1))|~sQ5_spl)),
% 0.09/0.37 inference(component_clause,[status(thm)],[f43])).
% 0.09/0.37 fof(f46,plain,(
% 0.09/0.37 sQ5_spl|sQ1_spl|~sQ2_spl),
% 0.09/0.37 inference(split_clause,[status(thm)],[f16,f43,f28,f31])).
% 0.09/0.37 fof(f47,definition,(
% 0.09/0.37 ![X0,X1]: (sQ6_spl <=> (f(X0,X1,z(X0,X1))))),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.37 fof(f48,plain,(
% 0.09/0.37 ![X0,X1]: (f(X0,X1,z(X0,X1))|~sQ6_spl)),
% 0.09/0.37 inference(component_clause,[status(thm)],[f47])).
% 0.09/0.37 fof(f50,plain,(
% 0.09/0.37 sQ6_spl|sQ1_spl|sQ2_spl),
% 0.09/0.37 inference(split_clause,[status(thm)],[f18,f47,f28,f31])).
% 0.09/0.37 fof(f51,plain,(
% 0.09/0.37 sQ6_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.37 inference(split_clause,[status(thm)],[f20,f47,f28,f31])).
% 0.09/0.37 fof(f52,definition,(
% 0.09/0.37 ![X0]: (sQ7_spl <=> (~f(b,b,X0)))),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.37 fof(f53,plain,(
% 0.09/0.37 ![X0]: (~f(b,b,X0)|~sQ7_spl)),
% 0.09/0.37 inference(component_clause,[status(thm)],[f52])).
% 0.09/0.37 fof(f55,plain,(
% 0.09/0.37 sQ7_spl|sQ1_spl|sQ2_spl),
% 0.09/0.37 inference(split_clause,[status(thm)],[f22,f52,f28,f31])).
% 0.09/0.37 fof(f56,plain,(
% 0.09/0.37 sQ7_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.37 inference(split_clause,[status(thm)],[f24,f52,f28,f31])).
% 0.09/0.37 fof(f59,plain,(
% 0.09/0.37 $false|~sQ3_spl|~sQ0_spl),
% 0.09/0.37 inference(resolution,[status(thm)],[f36,f26])).
% 0.09/0.37 fof(f60,plain,(
% 0.09/0.37 ~sQ3_spl|~sQ0_spl),
% 0.09/0.37 inference(contradiction_clause,[status(thm)],[f59])).
% 0.09/0.37 fof(f61,plain,(
% 0.09/0.37 $false|~sQ5_spl|~sQ4_spl),
% 0.09/0.37 inference(resolution,[status(thm)],[f44,f40])).
% 0.09/0.37 fof(f62,plain,(
% 0.09/0.37 ~sQ5_spl|~sQ4_spl),
% 0.09/0.37 inference(contradiction_clause,[status(thm)],[f61])).
% 0.09/0.37 fof(f63,plain,(
% 0.09/0.37 $false|~sQ6_spl|~sQ7_spl),
% 0.09/0.37 inference(resolution,[status(thm)],[f48,f53])).
% 0.09/0.37 fof(f64,plain,(
% 0.09/0.37 ~sQ6_spl|~sQ7_spl),
% 0.09/0.37 inference(contradiction_clause,[status(thm)],[f63])).
% 0.09/0.37 fof(f65,plain,(
% 0.09/0.37 $false),
% 0.09/0.37 inference(sat_refutation,[status(thm)],[f34,f38,f42,f46,f50,f51,f55,f56,f60,f62,f64])).
% 0.09/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.39 % Elapsed time: 0.027813 seconds
% 0.09/0.39 % CPU time: 0.028580 seconds
% 0.09/0.39 % Total memory used: 519.152 KB
% 0.09/0.39 % Net memory used: 516.336 KB
%------------------------------------------------------------------------------