%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN009-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 03:18:43 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 10:40:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.39 fof(f1,negated_conjecture,(
% 0.15/0.39 (![X,Y]: (~ p(c,X,Y) ))),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f2,negated_conjecture,(
% 0.15/0.39 (![X,Y]: (~ q(X,c,Y) ))),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f3,negated_conjecture,(
% 0.15/0.39 (![X,Y]: (~ r(X,Y,c) ))),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f6,negated_conjecture,(
% 0.15/0.39 s(c) ),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f7,negated_conjecture,(
% 0.15/0.39 (![X,Y,Z]: (( ~ s(X)| ~ s(Y)| ~ s(Z)| p(X,Y,Z)| q(X,Y,Z)| r(X,Y,Z) ) ))),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f8,plain,(
% 0.15/0.39 ![X0,X1]: (~p(c,X0,X1))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.39 fof(f9,plain,(
% 0.15/0.39 ![X0,X1]: (~q(X0,c,X1))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.39 fof(f10,plain,(
% 0.15/0.39 ![X0,X1]: (~r(X0,X1,c))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.39 fof(f13,plain,(
% 0.15/0.39 s(c)),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.39 fof(f14,plain,(
% 0.15/0.39 ![X0,X1,X2]: (~s(X0)|~s(X1)|~s(X2)|p(X0,X1,X2)|q(X0,X1,X2)|r(X0,X1,X2))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.39 fof(f15,plain,(
% 0.15/0.39 ![X0,X1]: (~s(X0)|~s(X1)|~s(c)|p(X0,X1,c)|q(X0,X1,c))),
% 0.15/0.39 inference(resolution,[status(thm)],[f14,f10])).
% 0.15/0.39 fof(f16,definition,(
% 0.15/0.39 ![X0,X1]: (sQ0_spl <=> (~s(X0)|~s(X1)|p(X0,X1,c)|q(X0,X1,c)))),
% 0.15/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/0.39 fof(f17,plain,(
% 0.15/0.39 ![X0,X1]: (~s(X0)|~s(X1)|p(X0,X1,c)|q(X0,X1,c)|~sQ0_spl)),
% 0.15/0.39 inference(component_clause,[status(thm)],[f16])).
% 0.15/0.39 fof(f19,definition,(
% 0.15/0.39 sQ1_spl <=> (s(c))),
% 0.15/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/0.39 fof(f21,plain,(
% 0.15/0.39 ~s(c)|sQ1_spl),
% 0.15/0.39 inference(component_clause,[status(thm)],[f19])).
% 0.15/0.39 fof(f22,plain,(
% 0.15/0.39 sQ0_spl|~sQ1_spl),
% 0.15/0.39 inference(split_clause,[status(thm)],[f15,f16,f19])).
% 0.15/0.39 fof(f23,plain,(
% 0.15/0.39 ![X0]: (~s(X0)|~s(c)|p(X0,c,c)|~sQ0_spl)),
% 0.15/0.39 inference(resolution,[status(thm)],[f17,f9])).
% 0.15/0.39 fof(f24,definition,(
% 0.15/0.39 ![X0]: (sQ2_spl <=> (~s(X0)|p(X0,c,c)))),
% 0.15/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/0.39 fof(f25,plain,(
% 0.15/0.39 ![X0]: (~s(X0)|p(X0,c,c)|~sQ2_spl)),
% 0.15/0.39 inference(component_clause,[status(thm)],[f24])).
% 0.15/0.39 fof(f27,plain,(
% 0.15/0.39 sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.15/0.39 inference(split_clause,[status(thm)],[f23,f24,f19,f16])).
% 0.15/0.39 fof(f28,plain,(
% 0.15/0.39 $false|sQ1_spl),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f21,f13])).
% 0.15/0.39 fof(f29,plain,(
% 0.15/0.39 sQ1_spl),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f28])).
% 0.15/0.39 fof(f30,plain,(
% 0.15/0.39 ~s(c)|~sQ2_spl),
% 0.15/0.39 inference(resolution,[status(thm)],[f25,f8])).
% 0.15/0.39 fof(f31,plain,(
% 0.15/0.39 ~sQ1_spl|~sQ2_spl),
% 0.15/0.39 inference(split_clause,[status(thm)],[f30,f19,f24])).
% 0.15/0.39 fof(f32,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(sat_refutation,[status(thm)],[f22,f27,f29,f31])).
% 0.15/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.42 % Elapsed time: 0.040656 seconds
% 0.15/0.42 % CPU time: 0.100843 seconds
% 0.15/0.42 % Total memory used: 16.546 MB
% 0.15/0.42 % Net memory used: 15.999 MB
%------------------------------------------------------------------------------