%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN319-1 : 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 : n005.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 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN319-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n005.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 10:48:48 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.15/0.38 % Refutation found
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.38 fof(f1,negated_conjecture,(
% 0.15/0.38 (![Y,X]: (( f(Y)| g(X) ) ))),
% 0.15/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f5,negated_conjecture,(
% 0.15/0.38 (![X]: (( ~ f(X)| h(X) ) ))),
% 0.15/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f6,negated_conjecture,(
% 0.15/0.38 (![X]: (( ~ g(X)| h(X) ) ))),
% 0.15/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f7,negated_conjecture,(
% 0.15/0.38 (![X,Y]: (~ h(z2(X,Y)) ))),
% 0.15/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f8,plain,(
% 0.15/0.38 (![Y]: f(Y))|(![X]: g(X))),
% 0.15/0.38 inference(miniscoping,[status(thm)],[f1])).
% 0.15/0.38 fof(f9,plain,(
% 0.15/0.38 ![X0,X1]: (f(X0)|g(X1))),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/0.38 fof(f15,plain,(
% 0.15/0.38 ![X0]: (~f(X0)|h(X0))),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.38 fof(f16,plain,(
% 0.15/0.38 ![X0]: (~g(X0)|h(X0))),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.38 fof(f17,plain,(
% 0.15/0.38 ![X0,X1]: (~h(z2(X0,X1)))),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.38 fof(f18,definition,(
% 0.15/0.38 ![X0]: (sQ0_spl <=> (f(X0)))),
% 0.15/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/0.38 fof(f19,plain,(
% 0.15/0.38 ![X0]: (f(X0)|~sQ0_spl)),
% 0.15/0.38 inference(component_clause,[status(thm)],[f18])).
% 0.15/0.38 fof(f21,definition,(
% 0.15/0.38 ![X1]: (sQ1_spl <=> (g(X1)))),
% 0.15/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/0.38 fof(f22,plain,(
% 0.15/0.38 ![X0]: (g(X0)|~sQ1_spl)),
% 0.15/0.38 inference(component_clause,[status(thm)],[f21])).
% 0.15/0.38 fof(f24,plain,(
% 0.15/0.38 sQ0_spl|sQ1_spl),
% 0.15/0.38 inference(split_clause,[status(thm)],[f9,f18,f21])).
% 0.15/0.38 fof(f25,plain,(
% 0.15/0.38 ![X0]: (h(X0)|~sQ0_spl)),
% 0.15/0.38 inference(forward_subsumption_resolution,[status(thm)],[f15,f19])).
% 0.15/0.38 fof(f26,plain,(
% 0.15/0.38 $false|~sQ0_spl),
% 0.15/0.38 inference(forward_subsumption_resolution,[status(thm)],[f17,f25])).
% 0.15/0.38 fof(f27,plain,(
% 0.15/0.38 ~sQ0_spl),
% 0.15/0.38 inference(contradiction_clause,[status(thm)],[f26])).
% 0.15/0.38 fof(f28,plain,(
% 0.15/0.38 $false|~sQ1_spl),
% 0.15/0.38 inference(backward_subsumption_resolution,[status(thm)],[f17,f29])).
% 0.15/0.39 fof(f29,plain,(
% 0.15/0.39 ![X0]: (h(X0)|~sQ1_spl)),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f16,f22])).
% 0.15/0.39 fof(f30,plain,(
% 0.15/0.39 ~sQ1_spl),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f28])).
% 0.15/0.39 fof(f31,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(sat_refutation,[status(thm)],[f24,f27,f30])).
% 0.15/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.40 % Elapsed time: 0.033720 seconds
% 0.15/0.40 % CPU time: 0.101465 seconds
% 0.15/0.40 % Total memory used: 14.439 MB
% 0.15/0.40 % Net memory used: 13.933 MB
%------------------------------------------------------------------------------