%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN594-1 : 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 : n019.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 03:20:12 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN594-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n019.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 11:09:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f1,negated_conjecture,(
% 0.09/0.40 (![X10]: (p2(X10,X10) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f4,negated_conjecture,(
% 0.09/0.40 p14(c18,f3(f4(f5(c17)))) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f5,negated_conjecture,(
% 0.09/0.40 (![X4,X5]: (( p15(X4,X5)| ~ p14(X4,X5) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f7,negated_conjecture,(
% 0.09/0.40 p14(c19,f6(f3(f4(f5(c17))),c16)) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f13,negated_conjecture,(
% 0.09/0.40 (![X4,X5]: (( p14(X4,X5)| p2(X4,X5)| ~ p15(X4,X5) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f15,negated_conjecture,(
% 0.09/0.40 (![X11,X12,X10]: (( p2(X11,X12)| ~ p2(X10,X11)| ~ p2(X10,X12) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f16,negated_conjecture,(
% 0.09/0.40 p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f17,negated_conjecture,(
% 0.09/0.40 ~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f25,negated_conjecture,(
% 0.09/0.40 p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f27,negated_conjecture,(
% 0.09/0.40 (![X46,X47,X48]: (( ~ p14(X46,f3(f4(f5(c17))))| ~ p15(X47,f6(f3(f4(f5(c17))),c16))| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X47)| ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X46),f8(f10(f11(f3(f4(f5(c17)))),X48),f9(f11(X47),f10(f11(f3(f4(f5(c17)))),c22))))) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f28,plain,(
% 0.09/0.40 ![X0]: (p2(X0,X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.40 fof(f31,plain,(
% 0.09/0.40 p14(c18,f3(f4(f5(c17))))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.40 fof(f32,plain,(
% 0.09/0.40 ![X0,X1]: (p15(X0,X1)|~p14(X0,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.40 fof(f34,plain,(
% 0.09/0.40 p14(c19,f6(f3(f4(f5(c17))),c16))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.40 fof(f40,plain,(
% 0.09/0.40 ![X0,X1]: (p14(X0,X1)|p2(X0,X1)|~p15(X0,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.40 fof(f43,plain,(
% 0.09/0.40 ![X12,X10]: ((![X11]: (p2(X11,X12)|~p2(X10,X11)))|~p2(X10,X12))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f15])).
% 0.09/0.40 fof(f44,plain,(
% 0.09/0.40 ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f43])).
% 0.09/0.40 fof(f45,plain,(
% 0.09/0.40 p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.40 fof(f46,plain,(
% 0.09/0.40 ~p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.40 fof(f61,plain,(
% 0.09/0.40 p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.40 fof(f63,plain,(
% 0.09/0.40 ![X46,X47]: (((~p14(X46,f3(f4(f5(c17))))|~p15(X47,f6(f3(f4(f5(c17))),c16)))|~p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X47))|(![X48]: ~p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X46),f8(f10(f11(f3(f4(f5(c17)))),X48),f9(f11(X47),f10(f11(f3(f4(f5(c17)))),c22)))))))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f27])).
% 0.09/0.40 fof(f64,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~p14(X0,f3(f4(f5(c17))))|~p15(X1,f6(f3(f4(f5(c17))),c16))|~p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X1)|~p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X0),f8(f10(f11(f3(f4(f5(c17)))),X2),f9(f11(X1),f10(f11(f3(f4(f5(c17)))),c22))))))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f63])).
% 0.09/0.40 fof(f67,plain,(
% 0.09/0.40 p15(c19,f6(f3(f4(f5(c17))),c16))),
% 0.09/0.40 inference(resolution,[status(thm)],[f34,f32])).
% 0.09/0.40 fof(f75,plain,(
% 0.09/0.40 ![X0,X1]: (p2(X0,X1)|~p2(X1,X0))),
% 0.09/0.40 inference(resolution,[status(thm)],[f44,f28])).
% 0.09/0.40 fof(f76,plain,(
% 0.09/0.40 p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)|p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)),
% 0.09/0.40 inference(resolution,[status(thm)],[f40,f45])).
% 0.09/0.40 fof(f77,definition,(
% 0.09/0.40 sQ0_spl <=> (p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f80,definition,(
% 0.09/0.40 sQ1_spl <=> (p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f81,plain,(
% 0.09/0.40 p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)|~sQ1_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f80])).
% 0.09/0.40 fof(f83,plain,(
% 0.09/0.40 sQ0_spl|sQ1_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f76,f77,f80])).
% 0.09/0.40 fof(f86,definition,(
% 0.09/0.40 sQ2_spl <=> (p14(c18,f3(f4(f5(c17)))))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f88,plain,(
% 0.09/0.40 ~p14(c18,f3(f4(f5(c17))))|sQ2_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f86])).
% 0.09/0.40 fof(f172,definition,(
% 0.09/0.40 sQ7_spl <=> (p15(c19,f6(f3(f4(f5(c17))),c16)))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f174,plain,(
% 0.09/0.40 ~p15(c19,f6(f3(f4(f5(c17))),c16))|sQ7_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f172])).
% 0.09/0.40 fof(f176,plain,(
% 0.09/0.40 $false|sQ7_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f174,f67])).
% 0.09/0.40 fof(f177,plain,(
% 0.09/0.40 sQ7_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f176])).
% 0.09/0.40 fof(f178,plain,(
% 0.09/0.40 ~p14(c18,f3(f4(f5(c17))))|~p15(c19,f6(f3(f4(f5(c17))),c16))|~p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)),
% 0.09/0.40 inference(resolution,[status(thm)],[f64,f61])).
% 0.09/0.40 fof(f179,plain,(
% 0.09/0.40 ~sQ2_spl|~sQ7_spl|~sQ0_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f178,f86,f172,f77])).
% 0.09/0.40 fof(f180,plain,(
% 0.09/0.40 $false|sQ2_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f88,f31])).
% 0.09/0.40 fof(f181,plain,(
% 0.09/0.40 sQ2_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f180])).
% 0.09/0.40 fof(f205,plain,(
% 0.09/0.40 p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))))|~sQ1_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f81,f75])).
% 0.09/0.40 fof(f212,plain,(
% 0.09/0.40 $false|~sQ1_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f205,f46])).
% 0.09/0.40 fof(f213,plain,(
% 0.09/0.40 ~sQ1_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f212])).
% 0.09/0.40 fof(f214,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(sat_refutation,[status(thm)],[f83,f177,f179,f181,f213])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.040506 seconds
% 0.09/0.42 % CPU time: 0.135139 seconds
% 0.09/0.42 % Total memory used: 18.874 MB
% 0.09/0.42 % Net memory used: 18.596 MB
%------------------------------------------------------------------------------