%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN347-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 03:19:26 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN347-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n017.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 10:46:13 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.38 fof(f1,negated_conjecture,(
% 0.08/0.38 (![X1,X2]: (( f(X1,y(X1,X2))| ~ f(X2,y(X1,X2))| f(a,b) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f2,negated_conjecture,(
% 0.08/0.38 (![X1,X2]: (( ~ f(X1,y(X1,X2))| f(X2,y(X1,X2))| f(a,b) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f3,negated_conjecture,(
% 0.08/0.38 (![X1,X2]: (( ~ f(X1,y(X1,X2))| ~ f(X2,y(X1,X2))| ~ f(a,b) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f4,negated_conjecture,(
% 0.08/0.38 (![X1,X2]: (( f(X1,y(X1,X2))| f(X2,y(X1,X2))| ~ f(a,b) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f5,negated_conjecture,(
% 0.08/0.38 (![X1,X2]: (( f(a,y(X1,X2))| f(b,y(X1,X2)) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f6,negated_conjecture,(
% 0.08/0.38 (![X1,X2]: (( ~ f(a,y(X1,X2))| ~ f(b,y(X1,X2)) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f7,plain,(
% 0.08/0.38 (![X1,X2]: (f(X1,y(X1,X2))|~f(X2,y(X1,X2))))|f(a,b)),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f1])).
% 0.08/0.38 fof(f8,plain,(
% 0.08/0.38 ![X0,X1]: (f(X0,y(X0,X1))|~f(X1,y(X0,X1))|f(a,b))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/0.38 fof(f9,plain,(
% 0.08/0.38 (![X1,X2]: (~f(X1,y(X1,X2))|f(X2,y(X1,X2))))|f(a,b)),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f2])).
% 0.08/0.38 fof(f10,plain,(
% 0.08/0.38 ![X0,X1]: (~f(X0,y(X0,X1))|f(X1,y(X0,X1))|f(a,b))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.08/0.38 fof(f11,plain,(
% 0.08/0.38 (![X1,X2]: (~f(X1,y(X1,X2))|~f(X2,y(X1,X2))))|~f(a,b)),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f3])).
% 0.08/0.38 fof(f12,plain,(
% 0.08/0.38 ![X0,X1]: (~f(X0,y(X0,X1))|~f(X1,y(X0,X1))|~f(a,b))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.08/0.38 fof(f13,plain,(
% 0.08/0.38 (![X1,X2]: (f(X1,y(X1,X2))|f(X2,y(X1,X2))))|~f(a,b)),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f4])).
% 0.08/0.38 fof(f14,plain,(
% 0.08/0.38 ![X0,X1]: (f(X0,y(X0,X1))|f(X1,y(X0,X1))|~f(a,b))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.08/0.38 fof(f15,plain,(
% 0.08/0.38 ![X0,X1]: (f(a,y(X0,X1))|f(b,y(X0,X1)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.38 fof(f16,plain,(
% 0.08/0.38 ![X0,X1]: (~f(a,y(X0,X1))|~f(b,y(X0,X1)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.38 fof(f17,definition,(
% 0.08/0.38 ![X0,X1]: (sQ0_spl <=> (f(X0,y(X0,X1))|~f(X1,y(X0,X1))))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f18,plain,(
% 0.08/0.38 ![X0,X1]: (f(X0,y(X0,X1))|~f(X1,y(X0,X1))|~sQ0_spl)),
% 0.08/0.38 inference(component_clause,[status(thm)],[f17])).
% 0.08/0.38 fof(f20,definition,(
% 0.08/0.38 sQ1_spl <=> (f(a,b))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f23,plain,(
% 0.08/0.38 sQ0_spl|sQ1_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f8,f17,f20])).
% 0.08/0.38 fof(f24,definition,(
% 0.08/0.38 ![X0,X1]: (sQ2_spl <=> (~f(X0,y(X0,X1))|f(X1,y(X0,X1))))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f25,plain,(
% 0.08/0.38 ![X0,X1]: (~f(X0,y(X0,X1))|f(X1,y(X0,X1))|~sQ2_spl)),
% 0.08/0.38 inference(component_clause,[status(thm)],[f24])).
% 0.08/0.38 fof(f27,plain,(
% 0.08/0.38 sQ2_spl|sQ1_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f10,f24,f20])).
% 0.08/0.38 fof(f28,definition,(
% 0.08/0.38 ![X0,X1]: (sQ3_spl <=> (~f(X0,y(X0,X1))|~f(X1,y(X0,X1))))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f29,plain,(
% 0.08/0.38 ![X0,X1]: (~f(X0,y(X0,X1))|~f(X1,y(X0,X1))|~sQ3_spl)),
% 0.08/0.38 inference(component_clause,[status(thm)],[f28])).
% 0.08/0.38 fof(f31,plain,(
% 0.08/0.38 sQ3_spl|~sQ1_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f12,f28,f20])).
% 0.08/0.38 fof(f32,definition,(
% 0.08/0.38 ![X0,X1]: (sQ4_spl <=> (f(X0,y(X0,X1))|f(X1,y(X0,X1))))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f33,plain,(
% 0.08/0.38 ![X0,X1]: (f(X0,y(X0,X1))|f(X1,y(X0,X1))|~sQ4_spl)),
% 0.08/0.38 inference(component_clause,[status(thm)],[f32])).
% 0.08/0.38 fof(f35,plain,(
% 0.08/0.38 sQ4_spl|~sQ1_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f14,f32,f20])).
% 0.08/0.38 fof(f36,plain,(
% 0.08/0.38 ![X0]: (~f(X0,y(X0,X0))|~sQ3_spl|~sQ4_spl)),
% 0.08/0.38 inference(resolution,[status(thm)],[f29,f33])).
% 0.08/0.38 fof(f40,plain,(
% 0.08/0.38 $false|~sQ3_spl|~sQ4_spl),
% 0.08/0.38 inference(resolution,[status(thm)],[f36,f33])).
% 0.08/0.38 fof(f44,plain,(
% 0.08/0.38 ~sQ3_spl|~sQ4_spl),
% 0.08/0.38 inference(contradiction_clause,[status(thm)],[f40])).
% 0.08/0.38 fof(f45,plain,(
% 0.08/0.38 ![X0]: (~f(b,y(a,X0))|~f(X0,y(a,X0))|~sQ0_spl)),
% 0.08/0.38 inference(resolution,[status(thm)],[f16,f18])).
% 0.08/0.38 fof(f48,plain,(
% 0.08/0.38 ~f(b,y(a,b))|~f(a,y(a,b))|~sQ0_spl|~sQ2_spl),
% 0.08/0.38 inference(resolution,[status(thm)],[f45,f25])).
% 0.08/0.38 fof(f49,definition,(
% 0.08/0.38 sQ5_spl <=> (f(b,y(a,b)))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f50,plain,(
% 0.08/0.38 f(b,y(a,b))|~sQ5_spl),
% 0.08/0.38 inference(component_clause,[status(thm)],[f49])).
% 0.08/0.38 fof(f51,plain,(
% 0.08/0.38 ~f(b,y(a,b))|sQ5_spl),
% 0.08/0.38 inference(component_clause,[status(thm)],[f49])).
% 0.08/0.38 fof(f52,definition,(
% 0.08/0.38 sQ6_spl <=> (f(a,y(a,b)))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f54,plain,(
% 0.08/0.38 ~f(a,y(a,b))|sQ6_spl),
% 0.08/0.38 inference(component_clause,[status(thm)],[f52])).
% 0.08/0.38 fof(f55,plain,(
% 0.08/0.38 ~sQ5_spl|~sQ6_spl|~sQ0_spl|~sQ2_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f48,f49,f52,f17,f24])).
% 0.08/0.38 fof(f63,plain,(
% 0.08/0.38 f(a,y(a,b))|sQ5_spl),
% 0.08/0.38 inference(resolution,[status(thm)],[f51,f15])).
% 0.08/0.38 fof(f66,plain,(
% 0.08/0.38 f(b,y(a,b))|~sQ2_spl|sQ5_spl),
% 0.08/0.38 inference(resolution,[status(thm)],[f25,f63])).
% 0.08/0.38 fof(f68,plain,(
% 0.08/0.38 $false|~sQ2_spl|sQ5_spl),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f66,f51])).
% 0.08/0.38 fof(f69,plain,(
% 0.08/0.38 ~sQ2_spl|sQ5_spl),
% 0.08/0.38 inference(contradiction_clause,[status(thm)],[f68])).
% 0.08/0.38 fof(f70,plain,(
% 0.08/0.38 f(a,y(a,b))|~sQ5_spl|~sQ0_spl),
% 0.08/0.38 inference(resolution,[status(thm)],[f50,f18])).
% 0.08/0.38 fof(f71,plain,(
% 0.08/0.38 $false|sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f70,f54])).
% 0.08/0.38 fof(f72,plain,(
% 0.08/0.38 sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.08/0.38 inference(contradiction_clause,[status(thm)],[f71])).
% 0.08/0.38 fof(f73,plain,(
% 0.08/0.38 $false),
% 0.08/0.38 inference(sat_refutation,[status(thm)],[f23,f27,f31,f35,f44,f55,f69,f72])).
% 0.08/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.40 % Elapsed time: 0.035331 seconds
% 0.08/0.40 % CPU time: 0.083657 seconds
% 0.08/0.40 % Total memory used: 10.873 MB
% 0.08/0.40 % Net memory used: 10.550 MB
%------------------------------------------------------------------------------