%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN623-1 : 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 : n015.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 03:20:15 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN623-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.53 % Computer : n015.cluster.edu
% 0.09/0.53 % Model : x86_64 x86_64
% 0.09/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.53 % Memory : 8046.5625MB
% 0.09/0.53 % OS : Linux 6.8.0-71-generic
% 0.09/0.53 % CPULimit : 300
% 0.09/0.53 % WCLimit : 300
% 0.09/0.53 % DateTime : Mon Sep 21 11:13:06 UTC 2026
% 0.09/0.54 % CPUTime :
% 0.09/0.54 % Drodi V4.1.1
% 0.09/0.57 % Refutation found
% 0.09/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.57 fof(f2,negated_conjecture,(
% 0.09/0.57 (![X58]: (p8(X58,X58) ))),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f5,negated_conjecture,(
% 0.09/0.57 (![X37]: (p3(X37,X37) ))),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f10,negated_conjecture,(
% 0.09/0.57 p18(c26,c25) ),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f11,negated_conjecture,(
% 0.09/0.57 p3(c22,c23) ),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f12,negated_conjecture,(
% 0.09/0.57 p2(c24,c25) ),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f13,negated_conjecture,(
% 0.09/0.57 ~ p16(c22,c21) ),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f14,negated_conjecture,(
% 0.09/0.57 p3(c23,f4(c24,c20)) ),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f15,negated_conjecture,(
% 0.09/0.57 p16(f4(c19,c20),c21) ),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f20,negated_conjecture,(
% 0.09/0.57 (![X38,X39,X37]: (( p3(X38,X39)| ~ p3(X37,X38)| ~ p3(X37,X39) ) ))),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f25,negated_conjecture,(
% 0.09/0.57 (![X21,X22]: (( p16(f4(c25,X21),X22)| ~ p16(f4(f6(c27,c25),X21),X22) ) ))),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f26,negated_conjecture,(
% 0.09/0.57 (![X13,X14,X15,X16]: (( p16(X13,X14)| ~ p3(X15,X13)| ~ p8(X16,X14)| ~ p16(X15,X16) ) ))),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f34,negated_conjecture,(
% 0.09/0.57 (![X17,X18,X19,X20]: (( p16(f4(X17,X18),X19)| ~ p2(X17,X20)| ~ p18(c26,X20)| ~ p16(f4(c19,X18),X19)| ~ p16(f4(X20,f13(f15(c28,X17),X20)),f9(f11(c29,X17),X20)) ) ))),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f35,negated_conjecture,(
% 0.09/0.57 (![X17,X18,X19,X20]: (( p16(f4(X17,X18),X19)| p16(f4(f6(c27,X20),f13(f15(c28,X17),X20)),f9(f11(c29,X17),X20))| ~ p2(X17,X20)| ~ p18(c26,X20)| ~ p16(f4(c19,X18),X19) ) ))),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f37,plain,(
% 0.09/0.57 ![X0]: (p8(X0,X0))),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.57 fof(f40,plain,(
% 0.09/0.57 ![X0]: (p3(X0,X0))),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.57 fof(f45,plain,(
% 0.09/0.57 p18(c26,c25)),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.57 fof(f46,plain,(
% 0.09/0.57 p3(c22,c23)),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.57 fof(f47,plain,(
% 0.09/0.57 p2(c24,c25)),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.57 fof(f48,plain,(
% 0.09/0.57 ~p16(c22,c21)),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.57 fof(f49,plain,(
% 0.09/0.57 p3(c23,f4(c24,c20))),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.57 fof(f50,plain,(
% 0.09/0.57 p16(f4(c19,c20),c21)),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.57 fof(f59,plain,(
% 0.09/0.57 ![X39,X37]: ((![X38]: (p3(X38,X39)|~p3(X37,X38)))|~p3(X37,X39))),
% 0.09/0.57 inference(miniscoping,[status(thm)],[f20])).
% 0.09/0.57 fof(f60,plain,(
% 0.09/0.57 ![X0,X1,X2]: (p3(X0,X1)|~p3(X2,X0)|~p3(X2,X1))),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f59])).
% 0.09/0.57 fof(f69,plain,(
% 0.09/0.57 ![X0,X1]: (p16(f4(c25,X0),X1)|~p16(f4(f6(c27,c25),X0),X1))),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.57 fof(f70,plain,(
% 0.09/0.57 ![X15,X16]: ((![X14]: ((![X13]: (p16(X13,X14)|~p3(X15,X13)))|~p8(X16,X14)))|~p16(X15,X16))),
% 0.09/0.57 inference(miniscoping,[status(thm)],[f26])).
% 0.09/0.57 fof(f71,plain,(
% 0.09/0.57 ![X0,X1,X2,X3]: (p16(X0,X1)|~p3(X2,X0)|~p8(X3,X1)|~p16(X2,X3))),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f70])).
% 0.09/0.57 fof(f86,plain,(
% 0.09/0.57 ![X17,X20]: ((![X18,X19]: (((p16(f4(X17,X18),X19)|~p2(X17,X20))|~p18(c26,X20))|~p16(f4(c19,X18),X19)))|~p16(f4(X20,f13(f15(c28,X17),X20)),f9(f11(c29,X17),X20)))),
% 0.09/0.57 inference(miniscoping,[status(thm)],[f34])).
% 0.09/0.57 fof(f87,plain,(
% 0.09/0.57 ![X0,X1,X2,X3]: (p16(f4(X0,X1),X2)|~p2(X0,X3)|~p18(c26,X3)|~p16(f4(c19,X1),X2)|~p16(f4(X3,f13(f15(c28,X0),X3)),f9(f11(c29,X0),X3)))),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f86])).
% 0.09/0.57 fof(f88,plain,(
% 0.09/0.57 ![X18,X19]: ((![X20]: ((![X17]: ((p16(f4(X17,X18),X19)|p16(f4(f6(c27,X20),f13(f15(c28,X17),X20)),f9(f11(c29,X17),X20)))|~p2(X17,X20)))|~p18(c26,X20)))|~p16(f4(c19,X18),X19))),
% 0.09/0.58 inference(miniscoping,[status(thm)],[f35])).
% 0.09/0.58 fof(f89,plain,(
% 0.09/0.58 ![X0,X1,X2,X3]: (p16(f4(X0,X1),X2)|p16(f4(f6(c27,X3),f13(f15(c28,X0),X3)),f9(f11(c29,X0),X3))|~p2(X0,X3)|~p18(c26,X3)|~p16(f4(c19,X1),X2))),
% 0.09/0.58 inference(cnf_transformation,[status(thm)],[f88])).
% 0.09/0.58 fof(f93,plain,(
% 0.09/0.58 ![X0,X1]: (p16(f4(X0,c20),c21)|p16(f4(f6(c27,X1),f13(f15(c28,X0),X1)),f9(f11(c29,X0),X1))|~p2(X0,X1)|~p18(c26,X1))),
% 0.09/0.58 inference(resolution,[status(thm)],[f89,f50])).
% 0.09/0.58 fof(f114,plain,(
% 0.09/0.58 ![X0]: (p16(f4(X0,c20),c21)|~p2(X0,c25)|~p18(c26,c25)|p16(f4(c25,f13(f15(c28,X0),c25)),f9(f11(c29,X0),c25)))),
% 0.09/0.58 inference(resolution,[status(thm)],[f93,f69])).
% 0.09/0.58 fof(f116,definition,(
% 0.09/0.58 ![X0]: (sQ0_spl <=> (p16(f4(X0,c20),c21)|~p2(X0,c25)|p16(f4(c25,f13(f15(c28,X0),c25)),f9(f11(c29,X0),c25))))),
% 0.09/0.58 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.58 fof(f117,plain,(
% 0.09/0.58 ![X0]: (p16(f4(X0,c20),c21)|~p2(X0,c25)|p16(f4(c25,f13(f15(c28,X0),c25)),f9(f11(c29,X0),c25))|~sQ0_spl)),
% 0.09/0.58 inference(component_clause,[status(thm)],[f116])).
% 0.09/0.58 fof(f119,definition,(
% 0.09/0.58 sQ1_spl <=> (p18(c26,c25))),
% 0.09/0.58 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.58 fof(f121,plain,(
% 0.09/0.58 ~p18(c26,c25)|sQ1_spl),
% 0.09/0.58 inference(component_clause,[status(thm)],[f119])).
% 0.09/0.58 fof(f122,plain,(
% 0.09/0.58 sQ0_spl|~sQ1_spl),
% 0.09/0.58 inference(split_clause,[status(thm)],[f114,f116,f119])).
% 0.09/0.58 fof(f125,plain,(
% 0.09/0.58 ![X0,X1,X2]: (p16(f4(X0,c20),c21)|~p2(X0,c25)|p16(f4(X0,X1),X2)|~p2(X0,c25)|~p18(c26,c25)|~p16(f4(c19,X1),X2)|~sQ0_spl)),
% 0.09/0.58 inference(resolution,[status(thm)],[f117,f87])).
% 0.09/0.58 fof(f127,definition,(
% 0.09/0.58 ![X0,X1,X2]: (sQ2_spl <=> (p16(f4(X0,c20),c21)|~p2(X0,c25)|p16(f4(X0,X1),X2)|~p2(X0,c25)|~p16(f4(c19,X1),X2)))),
% 0.09/0.58 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.58 fof(f128,plain,(
% 0.09/0.58 ![X0,X1,X2]: (p16(f4(X0,c20),c21)|~p2(X0,c25)|p16(f4(X0,X1),X2)|~p2(X0,c25)|~p16(f4(c19,X1),X2)|~sQ2_spl)),
% 0.09/0.58 inference(component_clause,[status(thm)],[f127])).
% 0.09/0.58 fof(f130,plain,(
% 0.09/0.58 sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.09/0.58 inference(split_clause,[status(thm)],[f125,f127,f119,f116])).
% 0.09/0.58 fof(f131,plain,(
% 0.09/0.58 $false|sQ1_spl),
% 0.09/0.58 inference(forward_subsumption_resolution,[status(thm)],[f121,f45])).
% 0.09/0.58 fof(f132,plain,(
% 0.09/0.58 sQ1_spl),
% 0.09/0.58 inference(contradiction_clause,[status(thm)],[f131])).
% 0.09/0.58 fof(f133,plain,(
% 0.09/0.58 ![X0,X1,X2]: (p16(f4(X0,c20),c21)|~p2(X0,c25)|p16(f4(X0,X1),X2)|~p16(f4(c19,X1),X2)|~sQ2_spl)),
% 0.09/0.58 inference(duplicate_literals_removal,[status(thm)],[f128])).
% 0.09/0.58 fof(f194,plain,(
% 0.09/0.58 ![X0]: (p16(f4(X0,c20),c21)|~p2(X0,c25)|p16(f4(X0,c20),c21)|~sQ2_spl)),
% 0.09/0.58 inference(resolution,[status(thm)],[f133,f50])).
% 0.09/0.58 fof(f196,plain,(
% 0.09/0.58 ![X0]: (p16(f4(X0,c20),c21)|~p2(X0,c25)|~sQ2_spl)),
% 0.09/0.58 inference(duplicate_literals_removal,[status(thm)],[f194])).
% 0.09/0.58 fof(f208,plain,(
% 0.09/0.58 p16(f4(c24,c20),c21)|~sQ2_spl),
% 0.09/0.58 inference(resolution,[status(thm)],[f196,f47])).
% 0.09/0.58 fof(f230,plain,(
% 0.09/0.58 ![X0,X1]: (p16(X0,X1)|~p3(f4(c24,c20),X0)|~p8(c21,X1)|~sQ2_spl)),
% 0.09/0.58 inference(resolution,[status(thm)],[f208,f71])).
% 0.09/0.58 fof(f245,plain,(
% 0.09/0.58 ![X0]: (p16(X0,c21)|~p3(f4(c24,c20),X0)|~sQ2_spl)),
% 0.09/0.58 inference(resolution,[status(thm)],[f230,f37])).
% 0.09/0.58 fof(f247,plain,(
% 0.09/0.58 ![X0,X1]: (p16(X0,c21)|~p3(X1,f4(c24,c20))|~p3(X1,X0)|~sQ2_spl)),
% 0.09/0.58 inference(resolution,[status(thm)],[f245,f60])).
% 0.09/0.58 fof(f260,plain,(
% 0.09/0.58 ![X0]: (~p3(X0,f4(c24,c20))|~p3(X0,c22)|~sQ2_spl)),
% 0.09/0.58 inference(resolution,[status(thm)],[f247,f48])).
% 0.09/0.58 fof(f262,plain,(
% 0.09/0.58 ![X0,X1]: (~p3(X0,f4(c24,c20))|~p3(X1,X0)|~p3(X1,c22)|~sQ2_spl)),
% 0.09/0.58 inference(resolution,[status(thm)],[f260,f60])).
% 0.09/0.58 fof(f266,plain,(
% 0.09/0.58 ![X0]: (~p3(X0,f4(c24,c20))|~p3(c22,X0)|~sQ2_spl)),
% 0.09/0.58 inference(resolution,[status(thm)],[f262,f40])).
% 0.09/0.58 fof(f267,plain,(
% 0.09/0.58 ~p3(c23,f4(c24,c20))|~sQ2_spl),
% 0.09/0.58 inference(resolution,[status(thm)],[f266,f46])).
% 0.09/0.58 fof(f270,plain,(
% 0.09/0.58 $false|~sQ2_spl),
% 0.09/0.58 inference(forward_subsumption_resolution,[status(thm)],[f267,f49])).
% 0.09/0.58 fof(f271,plain,(
% 0.09/0.58 ~sQ2_spl),
% 0.09/0.58 inference(contradiction_clause,[status(thm)],[f270])).
% 0.09/0.58 fof(f272,plain,(
% 0.09/0.58 $false),
% 0.09/0.58 inference(sat_refutation,[status(thm)],[f122,f130,f132,f271])).
% 0.09/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.60 % Elapsed time: 0.050177 seconds
% 0.14/0.60 % CPU time: 0.161053 seconds
% 0.14/0.60 % Total memory used: 19.907 MB
% 0.14/0.60 % Net memory used: 19.516 MB
%------------------------------------------------------------------------------