%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN321-1 : 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 : n012.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 03:19:20 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN321-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n012.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 10:49:07 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.15/0.37 % Drodi V4.1.1
% 0.15/0.37 % Refutation found
% 0.15/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.37 fof(f1,negated_conjecture,(
% 0.15/0.37 (![Z,U]: (( ~ f(a,Z)| g(a,U) ) ))),
% 0.15/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f2,negated_conjecture,(
% 0.15/0.37 (![U]: (( ~ g(U,U)| f(U,b) ) ))),
% 0.15/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f3,negated_conjecture,(
% 0.15/0.37 (![U]: (( f(a,b)| g(a,U) ) ))),
% 0.15/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f4,negated_conjecture,(
% 0.15/0.37 ( ~ f(a,b)| ~ g(a,d) ) ),
% 0.15/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f5,plain,(
% 0.15/0.37 (![Z]: ~f(a,Z))|(![U]: g(a,U))),
% 0.15/0.37 inference(miniscoping,[status(thm)],[f1])).
% 0.15/0.37 fof(f6,plain,(
% 0.15/0.37 ![X0,X1]: (~f(a,X0)|g(a,X1))),
% 0.15/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.37 fof(f7,plain,(
% 0.15/0.37 ![X0]: (~g(X0,X0)|f(X0,b))),
% 0.15/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.37 fof(f8,plain,(
% 0.15/0.37 f(a,b)|(![U]: g(a,U))),
% 0.15/0.37 inference(miniscoping,[status(thm)],[f3])).
% 0.15/0.37 fof(f9,plain,(
% 0.15/0.37 ![X0]: (f(a,b)|g(a,X0))),
% 0.15/0.37 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/0.37 fof(f10,plain,(
% 0.15/0.37 ~f(a,b)|~g(a,d)),
% 0.15/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.37 fof(f11,definition,(
% 0.15/0.37 ![X0]: (sQ0_spl <=> (~f(a,X0)))),
% 0.15/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/0.37 fof(f12,plain,(
% 0.15/0.37 ![X0]: (~f(a,X0)|~sQ0_spl)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f11])).
% 0.15/0.37 fof(f14,definition,(
% 0.15/0.37 ![X1]: (sQ1_spl <=> (g(a,X1)))),
% 0.15/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/0.37 fof(f15,plain,(
% 0.15/0.37 ![X0]: (g(a,X0)|~sQ1_spl)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f14])).
% 0.15/0.37 fof(f17,plain,(
% 0.15/0.37 sQ0_spl|sQ1_spl),
% 0.15/0.37 inference(split_clause,[status(thm)],[f6,f11,f14])).
% 0.15/0.37 fof(f18,definition,(
% 0.15/0.37 sQ2_spl <=> (f(a,b))),
% 0.15/0.37 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/0.37 fof(f19,plain,(
% 0.15/0.37 f(a,b)|~sQ2_spl),
% 0.15/0.37 inference(component_clause,[status(thm)],[f18])).
% 0.15/0.37 fof(f21,plain,(
% 0.15/0.37 sQ2_spl|sQ1_spl),
% 0.15/0.37 inference(split_clause,[status(thm)],[f9,f18,f14])).
% 0.15/0.37 fof(f22,definition,(
% 0.15/0.37 sQ3_spl <=> (g(a,d))),
% 0.15/0.37 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.15/0.37 fof(f24,plain,(
% 0.15/0.37 ~g(a,d)|sQ3_spl),
% 0.15/0.37 inference(component_clause,[status(thm)],[f22])).
% 0.15/0.37 fof(f25,plain,(
% 0.15/0.37 ~sQ2_spl|~sQ3_spl),
% 0.15/0.37 inference(split_clause,[status(thm)],[f10,f18,f22])).
% 0.15/0.37 fof(f26,plain,(
% 0.15/0.37 $false|~sQ1_spl|sQ3_spl),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f24,f15])).
% 0.15/0.37 fof(f27,plain,(
% 0.15/0.37 ~sQ1_spl|sQ3_spl),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f26])).
% 0.15/0.37 fof(f28,plain,(
% 0.15/0.37 $false|~sQ0_spl|~sQ2_spl),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f19,f12])).
% 0.15/0.37 fof(f29,plain,(
% 0.15/0.37 ~sQ0_spl|~sQ2_spl),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f28])).
% 0.15/0.37 fof(f30,plain,(
% 0.15/0.37 f(a,b)|~sQ1_spl),
% 0.15/0.37 inference(resolution,[status(thm)],[f15,f7])).
% 0.15/0.37 fof(f31,plain,(
% 0.15/0.37 sQ2_spl|~sQ1_spl),
% 0.15/0.37 inference(split_clause,[status(thm)],[f30,f18,f14])).
% 0.15/0.37 fof(f32,plain,(
% 0.15/0.37 $false),
% 0.15/0.37 inference(sat_refutation,[status(thm)],[f17,f21,f25,f27,f29,f31])).
% 0.15/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.41 % Elapsed time: 0.043062 seconds
% 0.15/0.41 % CPU time: 0.030295 seconds
% 0.15/0.41 % Total memory used: 513.584 KB
% 0.15/0.41 % Net memory used: 502.192 KB
%------------------------------------------------------------------------------