%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN687-1 : 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 : n018.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 03:20:21 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN687-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 11:14:14 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f19,negated_conjecture,(
% 0.10/0.41 p34(c36,c37) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f40,negated_conjecture,(
% 0.10/0.41 (![X130]: (~ p4(f5(X130,f7(c38,X130)),f5(f9(c39,X130),f7(c38,X130))) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f55,negated_conjecture,(
% 0.10/0.41 (![X106,X108,X107]: (( p4(f5(f9(c39,X106),X108),f5(f9(c39,X107),X108))| p35(f12(c37,f14(f16(f18(c40,X106),X107),X108)),X108) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f56,negated_conjecture,(
% 0.10/0.41 (![X106,X108,X107]: (( p4(f5(f9(c39,X106),X108),f5(f9(c39,X107),X108))| ~ p4(f5(X106,f14(f16(f18(c40,X106),X107),X108)),f5(X107,f14(f16(f18(c40,X106),X107),X108))) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f57,negated_conjecture,(
% 0.10/0.41 (![X116,X117,X118,X119]: (( p4(f5(f26(f28(c46,X116),X117),X118),f5(f26(f28(c47,X116),X117),X118))| p4(f5(f26(f28(c46,X116),X117),X119),f5(f9(X117,f26(f28(c46,X116),X117)),X119))| ~ p34(c36,X116)| ~ p35(f12(X116,X118),f30(f32(c45,X116),X117)) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f58,negated_conjecture,(
% 0.10/0.41 (![X116,X117,X119]: (( p4(f5(f26(f28(c46,X116),X117),X119),f5(f9(X117,f26(f28(c46,X116),X117)),X119))| ~ p34(c36,X116)| ~ p4(f5(f9(X117,f26(f28(c46,X116),X117)),f30(f32(c45,X116),X117)),f5(f9(X117,f26(f28(c47,X116),X117)),f30(f32(c45,X116),X117))) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f79,plain,(
% 0.10/0.41 p34(c36,c37)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.41 fof(f120,plain,(
% 0.10/0.41 ![X0]: (~p4(f5(X0,f7(c38,X0)),f5(f9(c39,X0),f7(c38,X0))))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f40])).
% 0.10/0.41 fof(f149,plain,(
% 0.10/0.41 ![X0,X1,X2]: (p4(f5(f9(c39,X0),X1),f5(f9(c39,X2),X1))|p35(f12(c37,f14(f16(f18(c40,X0),X2),X1)),X1))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f55])).
% 0.10/0.41 fof(f150,plain,(
% 0.10/0.41 ![X0,X1,X2]: (p4(f5(f9(c39,X0),X1),f5(f9(c39,X2),X1))|~p4(f5(X0,f14(f16(f18(c40,X0),X2),X1)),f5(X2,f14(f16(f18(c40,X0),X2),X1))))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f56])).
% 0.10/0.41 fof(f151,plain,(
% 0.10/0.41 ![X116,X117,X118]: (((p4(f5(f26(f28(c46,X116),X117),X118),f5(f26(f28(c47,X116),X117),X118))|(![X119]: p4(f5(f26(f28(c46,X116),X117),X119),f5(f9(X117,f26(f28(c46,X116),X117)),X119))))|~p34(c36,X116))|~p35(f12(X116,X118),f30(f32(c45,X116),X117)))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f57])).
% 0.10/0.41 fof(f152,plain,(
% 0.10/0.41 ![X0,X1,X2,X3]: (p4(f5(f26(f28(c46,X0),X1),X2),f5(f26(f28(c47,X0),X1),X2))|p4(f5(f26(f28(c46,X0),X1),X3),f5(f9(X1,f26(f28(c46,X0),X1)),X3))|~p34(c36,X0)|~p35(f12(X0,X2),f30(f32(c45,X0),X1)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f151])).
% 0.10/0.41 fof(f153,plain,(
% 0.10/0.41 ![X116,X117]: (((![X119]: p4(f5(f26(f28(c46,X116),X117),X119),f5(f9(X117,f26(f28(c46,X116),X117)),X119)))|~p34(c36,X116))|~p4(f5(f9(X117,f26(f28(c46,X116),X117)),f30(f32(c45,X116),X117)),f5(f9(X117,f26(f28(c47,X116),X117)),f30(f32(c45,X116),X117))))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f58])).
% 0.10/0.41 fof(f154,plain,(
% 0.10/0.41 ![X0,X1,X2]: (p4(f5(f26(f28(c46,X0),X1),X2),f5(f9(X1,f26(f28(c46,X0),X1)),X2))|~p34(c36,X0)|~p4(f5(f9(X1,f26(f28(c46,X0),X1)),f30(f32(c45,X0),X1)),f5(f9(X1,f26(f28(c47,X0),X1)),f30(f32(c45,X0),X1))))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f153])).
% 0.10/0.41 fof(f159,plain,(
% 0.10/0.41 ![X0,X1,X2,X3]: (p4(f5(f26(f28(c46,c37),X0),f14(f16(f18(c40,X1),X2),f30(f32(c45,c37),X0))),f5(f26(f28(c47,c37),X0),f14(f16(f18(c40,X1),X2),f30(f32(c45,c37),X0))))|p4(f5(f26(f28(c46,c37),X0),X3),f5(f9(X0,f26(f28(c46,c37),X0)),X3))|~p34(c36,c37)|p4(f5(f9(c39,X1),f30(f32(c45,c37),X0)),f5(f9(c39,X2),f30(f32(c45,c37),X0))))),
% 0.10/0.41 inference(resolution,[status(thm)],[f152,f149])).
% 0.10/0.41 fof(f160,definition,(
% 0.10/0.41 ![X0,X1,X2,X3]: (sQ0_spl <=> (p4(f5(f26(f28(c46,c37),X0),f14(f16(f18(c40,X1),X2),f30(f32(c45,c37),X0))),f5(f26(f28(c47,c37),X0),f14(f16(f18(c40,X1),X2),f30(f32(c45,c37),X0))))|p4(f5(f26(f28(c46,c37),X0),X3),f5(f9(X0,f26(f28(c46,c37),X0)),X3))|p4(f5(f9(c39,X1),f30(f32(c45,c37),X0)),f5(f9(c39,X2),f30(f32(c45,c37),X0)))))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f161,plain,(
% 0.10/0.41 ![X0,X1,X2,X3]: (p4(f5(f26(f28(c46,c37),X0),f14(f16(f18(c40,X1),X2),f30(f32(c45,c37),X0))),f5(f26(f28(c47,c37),X0),f14(f16(f18(c40,X1),X2),f30(f32(c45,c37),X0))))|p4(f5(f26(f28(c46,c37),X0),X3),f5(f9(X0,f26(f28(c46,c37),X0)),X3))|p4(f5(f9(c39,X1),f30(f32(c45,c37),X0)),f5(f9(c39,X2),f30(f32(c45,c37),X0)))|~sQ0_spl)),
% 0.10/0.41 inference(component_clause,[status(thm)],[f160])).
% 0.10/0.41 fof(f163,definition,(
% 0.10/0.41 sQ1_spl <=> (p34(c36,c37))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f165,plain,(
% 0.10/0.41 ~p34(c36,c37)|sQ1_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f163])).
% 0.10/0.41 fof(f166,plain,(
% 0.10/0.41 sQ0_spl|~sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f159,f160,f163])).
% 0.10/0.41 fof(f180,plain,(
% 0.10/0.41 $false|sQ1_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f165,f79])).
% 0.10/0.41 fof(f181,plain,(
% 0.10/0.41 sQ1_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f180])).
% 0.10/0.41 fof(f269,definition,(
% 0.10/0.41 ![X2]: (sQ5_spl <=> (p4(f5(f26(f28(c46,c37),c39),X2),f5(f9(c39,f26(f28(c46,c37),c39)),X2))))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f270,plain,(
% 0.10/0.41 ![X0]: (p4(f5(f26(f28(c46,c37),c39),X0),f5(f9(c39,f26(f28(c46,c37),c39)),X0))|~sQ5_spl)),
% 0.10/0.41 inference(component_clause,[status(thm)],[f269])).
% 0.10/0.41 fof(f347,plain,(
% 0.10/0.41 ![X0,X1]: (p4(f5(f9(c39,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(c39,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0)))|p4(f5(f26(f28(c46,c37),X0),X1),f5(f9(X0,f26(f28(c46,c37),X0)),X1))|p4(f5(f9(c39,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(c39,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0)))|~sQ0_spl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f150,f161])).
% 0.10/0.41 fof(f362,plain,(
% 0.10/0.41 ![X0,X1]: (p4(f5(f9(c39,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(c39,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0)))|p4(f5(f26(f28(c46,c37),X0),X1),f5(f9(X0,f26(f28(c46,c37),X0)),X1))|~sQ0_spl)),
% 0.10/0.41 inference(duplicate_literals_removal,[status(thm)],[f347])).
% 0.10/0.41 fof(f433,plain,(
% 0.10/0.41 ![X0,X1]: (p4(f5(f26(f28(c46,c37),c39),X0),f5(f9(c39,f26(f28(c46,c37),c39)),X0))|~p34(c36,c37)|p4(f5(f26(f28(c46,c37),c39),X1),f5(f9(c39,f26(f28(c46,c37),c39)),X1))|~sQ0_spl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f154,f362])).
% 0.10/0.41 fof(f434,plain,(
% 0.10/0.41 sQ5_spl|~sQ1_spl|~sQ0_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f433,f269,f163,f160])).
% 0.10/0.41 fof(f461,plain,(
% 0.10/0.41 $false|~sQ5_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f270,f120])).
% 0.10/0.41 fof(f474,plain,(
% 0.10/0.41 ~sQ5_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f461])).
% 0.10/0.41 fof(f475,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(sat_refutation,[status(thm)],[f166,f181,f434,f474])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.44 % Elapsed time: 0.046145 seconds
% 0.10/0.44 % CPU time: 0.168918 seconds
% 0.10/0.44 % Total memory used: 8.917 MB
% 0.10/0.44 % Net memory used: 8.595 MB
%------------------------------------------------------------------------------