%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN619-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 03:20:14 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN619-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 11:10:26 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f5,negated_conjecture,(
% 0.14/0.39 (![X18]: (p2(X18,X18) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f6,negated_conjecture,(
% 0.14/0.39 (![X9]: (p17(X9,X9) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f7,negated_conjecture,(
% 0.14/0.39 p18(c24,f6(c25)) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f8,negated_conjecture,(
% 0.14/0.39 ~ p18(c24,f6(f7(c22,c23))) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f9,negated_conjecture,(
% 0.14/0.39 (![X10,X11]: (( p17(X10,X11)| ~ p17(f3(X10),X11) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f24,negated_conjecture,(
% 0.14/0.39 (![X12]: (( p18(X12,f6(c19))| p2(f14(X12),c20)| ~ p18(X12,f6(c25)) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f27,negated_conjecture,(
% 0.14/0.39 (![X12]: (( p18(X12,f6(c19))| p17(f3(c21),f15(X12))| ~ p18(X12,f6(c25)) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f32,negated_conjecture,(
% 0.14/0.39 (![X59,X58,X60]: (( ~ p2(X59,c20)| ~ p17(c21,X58)| ~ p8(c24,f9(f13(X59,X58),X60)) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f33,negated_conjecture,(
% 0.14/0.39 (![X12]: (( p18(X12,f6(c19))| p8(X12,f9(f13(f14(X12),f15(X12)),f16(X12)))| ~ p18(X12,f6(c25)) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f34,negated_conjecture,(
% 0.14/0.39 (![X17]: (( p18(X17,f6(f7(c22,c23)))| p8(X17,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))| ~ p18(X17,f6(c19)) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f39,plain,(
% 0.14/0.39 ![X0]: (p2(X0,X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f40,plain,(
% 0.14/0.39 ![X0]: (p17(X0,X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.39 fof(f41,plain,(
% 0.14/0.39 p18(c24,f6(c25))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.39 fof(f42,plain,(
% 0.14/0.39 ~p18(c24,f6(f7(c22,c23)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.39 fof(f43,plain,(
% 0.14/0.39 ![X0,X1]: (p17(X0,X1)|~p17(f3(X0),X1))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.39 fof(f65,plain,(
% 0.14/0.39 ![X0]: (p18(X0,f6(c19))|p2(f14(X0),c20)|~p18(X0,f6(c25)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.39 fof(f70,plain,(
% 0.14/0.39 ![X0]: (p18(X0,f6(c19))|p17(f3(c21),f15(X0))|~p18(X0,f6(c25)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.39 fof(f79,plain,(
% 0.14/0.39 ![X59,X58]: ((~p2(X59,c20)|~p17(c21,X58))|(![X60]: ~p8(c24,f9(f13(X59,X58),X60))))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f32])).
% 0.14/0.39 fof(f80,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~p2(X0,c20)|~p17(c21,X1)|~p8(c24,f9(f13(X0,X1),X2)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f79])).
% 0.14/0.39 fof(f81,plain,(
% 0.14/0.39 ![X0]: (p18(X0,f6(c19))|p8(X0,f9(f13(f14(X0),f15(X0)),f16(X0)))|~p18(X0,f6(c25)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.39 fof(f82,plain,(
% 0.14/0.39 ![X0]: (p18(X0,f6(f7(c22,c23)))|p8(X0,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))|~p18(X0,f6(c19)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.14/0.39 fof(f106,plain,(
% 0.14/0.39 ![X0]: (p18(X0,f6(c19))|~p18(X0,f6(c25))|p17(c21,f15(X0)))),
% 0.14/0.39 inference(resolution,[status(thm)],[f70,f43])).
% 0.14/0.39 fof(f121,definition,(
% 0.14/0.39 sQ3_spl <=> (p2(f14(c24),c20))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f124,definition,(
% 0.14/0.39 sQ4_spl <=> (p18(c24,f6(c25)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f126,plain,(
% 0.14/0.39 ~p18(c24,f6(c25))|sQ4_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f124])).
% 0.14/0.39 fof(f128,plain,(
% 0.14/0.39 $false|sQ4_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f126,f41])).
% 0.14/0.39 fof(f129,plain,(
% 0.14/0.39 sQ4_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f128])).
% 0.14/0.39 fof(f134,plain,(
% 0.14/0.39 p18(c24,f6(c19))|~p18(c24,f6(c25))|~p2(f14(c24),c20)|~p17(c21,f15(c24))),
% 0.14/0.39 inference(resolution,[status(thm)],[f81,f80])).
% 0.14/0.39 fof(f135,definition,(
% 0.14/0.39 sQ5_spl <=> (p18(c24,f6(c19)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f137,plain,(
% 0.14/0.39 ~p18(c24,f6(c19))|sQ5_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f135])).
% 0.14/0.40 fof(f138,definition,(
% 0.14/0.40 sQ6_spl <=> (p17(c21,f15(c24)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f141,plain,(
% 0.14/0.40 sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f134,f135,f124,f121,f138])).
% 0.14/0.40 fof(f142,plain,(
% 0.14/0.40 p18(c24,f6(f7(c22,c23)))|~p18(c24,f6(c19))|~p2(c20,c20)|~p17(c21,c21)),
% 0.14/0.40 inference(resolution,[status(thm)],[f82,f80])).
% 0.14/0.40 fof(f143,definition,(
% 0.14/0.40 sQ7_spl <=> (p18(c24,f6(f7(c22,c23))))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f144,plain,(
% 0.14/0.40 p18(c24,f6(f7(c22,c23)))|~sQ7_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f143])).
% 0.14/0.40 fof(f146,definition,(
% 0.14/0.40 sQ8_spl <=> (p2(c20,c20))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f148,plain,(
% 0.14/0.40 ~p2(c20,c20)|sQ8_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f146])).
% 0.14/0.40 fof(f149,definition,(
% 0.14/0.40 sQ9_spl <=> (p17(c21,c21))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f151,plain,(
% 0.14/0.40 ~p17(c21,c21)|sQ9_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f149])).
% 0.14/0.40 fof(f152,plain,(
% 0.14/0.40 sQ7_spl|~sQ5_spl|~sQ8_spl|~sQ9_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f142,f143,f135,f146,f149])).
% 0.14/0.40 fof(f153,plain,(
% 0.14/0.40 $false|sQ9_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f151,f40])).
% 0.14/0.40 fof(f154,plain,(
% 0.14/0.40 sQ9_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f153])).
% 0.14/0.40 fof(f155,plain,(
% 0.14/0.40 $false|sQ8_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f148,f39])).
% 0.14/0.40 fof(f156,plain,(
% 0.14/0.40 sQ8_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f155])).
% 0.14/0.40 fof(f157,plain,(
% 0.14/0.40 $false|~sQ7_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f144,f42])).
% 0.14/0.40 fof(f158,plain,(
% 0.14/0.40 ~sQ7_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f157])).
% 0.14/0.40 fof(f161,plain,(
% 0.14/0.40 p2(f14(c24),c20)|~p18(c24,f6(c25))|sQ5_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f137,f65])).
% 0.14/0.40 fof(f163,plain,(
% 0.14/0.40 sQ3_spl|~sQ4_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f161,f121,f124,f135])).
% 0.14/0.40 fof(f164,plain,(
% 0.14/0.40 ~p18(c24,f6(c25))|p17(c21,f15(c24))|sQ5_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f106,f137])).
% 0.14/0.40 fof(f166,plain,(
% 0.14/0.40 ~sQ4_spl|sQ6_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f164,f124,f138,f135])).
% 0.14/0.40 fof(f168,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f129,f141,f152,f154,f156,f158,f163,f166])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.034132 seconds
% 0.14/0.42 % CPU time: 0.116431 seconds
% 0.14/0.42 % Total memory used: 16.344 MB
% 0.14/0.42 % Net memory used: 16.139 MB
%------------------------------------------------------------------------------