%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN009-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN009-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n002.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 10:41:17 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f1,negated_conjecture,(
% 0.12/0.37 (![X,Y,Z]: (( ~ p(X,Y,Z)| ~ t(X,Y,Z) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f2,negated_conjecture,(
% 0.12/0.37 (![X,Y,Z]: (( ~ q(X,Y,Z)| ~ t(Y,Z,X) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f3,negated_conjecture,(
% 0.12/0.37 (![X,Y,Z]: (( ~ r(X,Y,Z)| ~ t(Z,X,Y) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f6,negated_conjecture,(
% 0.12/0.37 s(c) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f7,negated_conjecture,(
% 0.12/0.37 t(c,c,c) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f8,negated_conjecture,(
% 0.12/0.37 (![X,Y,Z]: (( ~ s(X)| ~ s(Y)| ~ s(Z)| p(X,Y,Z)| q(Y,Z,X)| r(Z,X,Y) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f9,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~p(X0,X1,X2)|~t(X0,X1,X2))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.37 fof(f10,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~q(X0,X1,X2)|~t(X1,X2,X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.37 fof(f11,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~r(X0,X1,X2)|~t(X2,X0,X1))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.37 fof(f14,plain,(
% 0.12/0.37 s(c)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.37 fof(f15,plain,(
% 0.12/0.37 t(c,c,c)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.37 fof(f16,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~s(X0)|~s(X1)|~s(X2)|p(X0,X1,X2)|q(X1,X2,X0)|r(X2,X0,X1))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.37 fof(f17,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~s(X0)|~s(X1)|~s(X2)|q(X1,X2,X0)|r(X2,X0,X1)|~t(X0,X1,X2))),
% 0.12/0.37 inference(resolution,[status(thm)],[f16,f9])).
% 0.12/0.37 fof(f18,plain,(
% 0.12/0.37 ~s(c)|~s(c)|~s(c)|q(c,c,c)|r(c,c,c)),
% 0.12/0.37 inference(resolution,[status(thm)],[f17,f15])).
% 0.12/0.37 fof(f19,definition,(
% 0.12/0.37 sQ0_spl <=> (s(c))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f21,plain,(
% 0.12/0.37 ~s(c)|sQ0_spl),
% 0.12/0.37 inference(component_clause,[status(thm)],[f19])).
% 0.12/0.37 fof(f22,definition,(
% 0.12/0.37 sQ1_spl <=> (q(c,c,c))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f23,plain,(
% 0.12/0.37 q(c,c,c)|~sQ1_spl),
% 0.12/0.37 inference(component_clause,[status(thm)],[f22])).
% 0.12/0.37 fof(f25,definition,(
% 0.12/0.37 sQ2_spl <=> (r(c,c,c))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f26,plain,(
% 0.12/0.37 r(c,c,c)|~sQ2_spl),
% 0.12/0.37 inference(component_clause,[status(thm)],[f25])).
% 0.12/0.37 fof(f28,plain,(
% 0.12/0.37 ~sQ0_spl|sQ1_spl|sQ2_spl),
% 0.12/0.37 inference(split_clause,[status(thm)],[f18,f19,f22,f25])).
% 0.12/0.37 fof(f29,plain,(
% 0.12/0.37 ~t(c,c,c)|~sQ2_spl),
% 0.12/0.37 inference(resolution,[status(thm)],[f26,f11])).
% 0.12/0.37 fof(f30,plain,(
% 0.12/0.37 $false|~sQ2_spl),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f29,f15])).
% 0.12/0.37 fof(f31,plain,(
% 0.12/0.37 ~sQ2_spl),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f30])).
% 0.12/0.37 fof(f32,plain,(
% 0.12/0.37 $false|sQ0_spl),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f21,f14])).
% 0.12/0.37 fof(f33,plain,(
% 0.12/0.37 sQ0_spl),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f32])).
% 0.12/0.37 fof(f34,plain,(
% 0.12/0.37 ~t(c,c,c)|~sQ1_spl),
% 0.12/0.37 inference(resolution,[status(thm)],[f23,f10])).
% 0.12/0.37 fof(f35,plain,(
% 0.12/0.37 $false|~sQ1_spl),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f34,f15])).
% 0.12/0.37 fof(f36,plain,(
% 0.12/0.37 ~sQ1_spl),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f35])).
% 0.12/0.37 fof(f37,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(sat_refutation,[status(thm)],[f28,f31,f33,f36])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.040542 seconds
% 0.12/0.40 % CPU time: 0.106814 seconds
% 0.12/0.40 % Total memory used: 16.582 MB
% 0.12/0.40 % Net memory used: 16.075 MB
%------------------------------------------------------------------------------