%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN625-1 : 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 : n017.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 0.10s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN625-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 11:05:12 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.44 % Refutation found
% 0.10/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.44 fof(f1,negated_conjecture,(
% 0.10/0.44 p15(c21) ),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f8,negated_conjecture,(
% 0.10/0.44 ~ p15(f4(f7(c19,c20),c21)) ),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f10,negated_conjecture,(
% 0.10/0.44 (![X7,X76]: (( ~ p15(X7)| ~ p18(f9(X7),X76,X76) ) ))),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f15,negated_conjecture,(
% 0.10/0.44 (![X7]: (( p15(X7)| p18(f9(X7),f14(X7),f14(X7)) ) ))),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f16,negated_conjecture,(
% 0.10/0.44 (![X77]: (( ~ p17(X77,f11(c20))| ~ p16(f9(c21),X77,c19) ) ))),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f23,negated_conjecture,(
% 0.10/0.44 (![X14,X15,X16,X17]: (( p16(X14,X15,X16)| ~ p16(X14,X15,X17)| ~ p16(X14,X17,X16) ) ))),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f32,negated_conjecture,(
% 0.10/0.44 (![X18,X19,X20,X21,X22]: (( p16(f9(X18),X19,X20)| p18(f9(X18),X19,X21)| ~ p18(f9(f4(f7(X20,X22),X18)),X19,X21) ) ))),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f33,negated_conjecture,(
% 0.10/0.44 (![X18,X19,X21,X20,X22]: (( p18(f9(X18),X19,X21)| p17(f12(X18,X20,X22,X19,X21),f11(X22))| ~ p18(f9(f4(f7(X20,X22),X18)),X19,X21) ) ))),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f34,negated_conjecture,(
% 0.10/0.44 (![X18,X19,X21,X20,X22]: (( p18(f9(X18),X19,X21)| p16(f9(X18),f12(X18,X20,X22,X19,X21),X21)| ~ p18(f9(f4(f7(X20,X22),X18)),X19,X21) ) ))),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f36,plain,(
% 0.10/0.44 p15(c21)),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.44 fof(f43,plain,(
% 0.10/0.44 ~p15(f4(f7(c19,c20),c21))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.44 fof(f46,plain,(
% 0.10/0.44 ![X7]: (~p15(X7)|(![X76]: ~p18(f9(X7),X76,X76)))),
% 0.10/0.44 inference(miniscoping,[status(thm)],[f10])).
% 0.10/0.44 fof(f47,plain,(
% 0.10/0.44 ![X0,X1]: (~p15(X0)|~p18(f9(X0),X1,X1))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f46])).
% 0.10/0.44 fof(f52,plain,(
% 0.10/0.44 ![X0]: (p15(X0)|p18(f9(X0),f14(X0),f14(X0)))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.44 fof(f53,plain,(
% 0.10/0.44 ![X0]: (~p17(X0,f11(c20))|~p16(f9(c21),X0,c19))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.44 fof(f66,plain,(
% 0.10/0.44 ![X14,X16,X17]: ((![X15]: (p16(X14,X15,X16)|~p16(X14,X15,X17)))|~p16(X14,X17,X16))),
% 0.10/0.44 inference(miniscoping,[status(thm)],[f23])).
% 0.10/0.44 fof(f67,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (p16(X0,X1,X2)|~p16(X0,X1,X3)|~p16(X0,X3,X2))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f66])).
% 0.10/0.44 fof(f82,plain,(
% 0.10/0.44 ![X18,X19,X20,X21]: ((p16(f9(X18),X19,X20)|p18(f9(X18),X19,X21))|(![X22]: ~p18(f9(f4(f7(X20,X22),X18)),X19,X21)))),
% 0.10/0.44 inference(miniscoping,[status(thm)],[f32])).
% 0.10/0.44 fof(f83,plain,(
% 0.10/0.44 ![X0,X1,X2,X3,X4]: (p16(f9(X0),X1,X2)|p18(f9(X0),X1,X3)|~p18(f9(f4(f7(X2,X4),X0)),X1,X3))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f82])).
% 0.10/0.44 fof(f84,plain,(
% 0.10/0.44 ![X0,X1,X2,X3,X4]: (p18(f9(X0),X1,X2)|p17(f12(X0,X3,X4,X1,X2),f11(X4))|~p18(f9(f4(f7(X3,X4),X0)),X1,X2))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f33])).
% 0.10/0.44 fof(f85,plain,(
% 0.10/0.44 ![X0,X1,X2,X3,X4]: (p18(f9(X0),X1,X2)|p16(f9(X0),f12(X0,X3,X4,X1,X2),X2)|~p18(f9(f4(f7(X3,X4),X0)),X1,X2))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f34])).
% 0.10/0.44 fof(f89,plain,(
% 0.10/0.44 ![X0]: (~p18(f9(c21),X0,X0))),
% 0.10/0.44 inference(resolution,[status(thm)],[f47,f36])).
% 0.10/0.44 fof(f143,plain,(
% 0.10/0.44 ![X0,X1,X2]: (p16(f9(X0),f14(f4(f7(X1,X2),X0)),X1)|p18(f9(X0),f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0)))|p15(f4(f7(X1,X2),X0)))),
% 0.10/0.44 inference(resolution,[status(thm)],[f83,f52])).
% 0.10/0.44 fof(f144,plain,(
% 0.10/0.44 ![X0,X1,X2]: (p18(f9(X0),f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0)))|p17(f12(X0,X1,X2,f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0))),f11(X2))|p15(f4(f7(X1,X2),X0)))),
% 0.10/0.44 inference(resolution,[status(thm)],[f84,f52])).
% 0.10/0.44 fof(f146,plain,(
% 0.10/0.44 ![X0,X1,X2]: (p18(f9(X0),f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0)))|p16(f9(X0),f12(X0,X1,X2,f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0))),f14(f4(f7(X1,X2),X0)))|p15(f4(f7(X1,X2),X0)))),
% 0.10/0.44 inference(resolution,[status(thm)],[f85,f52])).
% 0.10/0.44 fof(f154,plain,(
% 0.10/0.44 ![X0,X1]: (p16(f9(c21),f14(f4(f7(X0,X1),c21)),X0)|p15(f4(f7(X0,X1),c21)))),
% 0.10/0.44 inference(resolution,[status(thm)],[f143,f89])).
% 0.10/0.44 fof(f158,plain,(
% 0.10/0.44 ![X0,X1,X2]: (p15(f4(f7(X0,X1),c21))|p16(f9(c21),X2,X0)|~p16(f9(c21),X2,f14(f4(f7(X0,X1),c21))))),
% 0.10/0.44 inference(resolution,[status(thm)],[f154,f67])).
% 0.10/0.44 fof(f180,plain,(
% 0.10/0.44 ![X0,X1]: (p15(f4(f7(X0,X1),c21))|p16(f9(c21),f12(c21,X0,X1,f14(f4(f7(X0,X1),c21)),f14(f4(f7(X0,X1),c21))),X0)|p18(f9(c21),f14(f4(f7(X0,X1),c21)),f14(f4(f7(X0,X1),c21)))|p15(f4(f7(X0,X1),c21)))),
% 0.10/0.44 inference(resolution,[status(thm)],[f158,f146])).
% 0.10/0.44 fof(f182,plain,(
% 0.10/0.44 ![X0,X1]: (p15(f4(f7(X0,X1),c21))|p16(f9(c21),f12(c21,X0,X1,f14(f4(f7(X0,X1),c21)),f14(f4(f7(X0,X1),c21))),X0)|p18(f9(c21),f14(f4(f7(X0,X1),c21)),f14(f4(f7(X0,X1),c21))))),
% 0.10/0.44 inference(duplicate_literals_removal,[status(thm)],[f180])).
% 0.10/0.44 fof(f183,plain,(
% 0.10/0.44 ![X0,X1]: (p15(f4(f7(X0,X1),c21))|p16(f9(c21),f12(c21,X0,X1,f14(f4(f7(X0,X1),c21)),f14(f4(f7(X0,X1),c21))),X0))),
% 0.10/0.44 inference(forward_subsumption_resolution,[status(thm)],[f182,f89])).
% 0.10/0.44 fof(f191,plain,(
% 0.10/0.44 ![X0]: (p15(f4(f7(c19,X0),c21))|~p17(f12(c21,c19,X0,f14(f4(f7(c19,X0),c21)),f14(f4(f7(c19,X0),c21))),f11(c20)))),
% 0.10/0.44 inference(resolution,[status(thm)],[f183,f53])).
% 0.10/0.44 fof(f213,plain,(
% 0.10/0.44 p15(f4(f7(c19,c20),c21))|p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)))|p15(f4(f7(c19,c20),c21))),
% 0.10/0.44 inference(resolution,[status(thm)],[f191,f144])).
% 0.10/0.44 fof(f214,definition,(
% 0.10/0.44 sQ0_spl <=> (p15(f4(f7(c19,c20),c21)))),
% 0.10/0.44 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.44 fof(f215,plain,(
% 0.10/0.44 p15(f4(f7(c19,c20),c21))|~sQ0_spl),
% 0.10/0.44 inference(component_clause,[status(thm)],[f214])).
% 0.10/0.44 fof(f217,definition,(
% 0.10/0.44 sQ1_spl <=> (p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))))),
% 0.10/0.44 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.44 fof(f218,plain,(
% 0.10/0.44 p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)))|~sQ1_spl),
% 0.10/0.44 inference(component_clause,[status(thm)],[f217])).
% 0.10/0.44 fof(f220,plain,(
% 0.10/0.44 sQ0_spl|sQ1_spl),
% 0.10/0.44 inference(split_clause,[status(thm)],[f213,f214,f217])).
% 0.10/0.44 fof(f221,plain,(
% 0.10/0.44 $false|~sQ0_spl),
% 0.10/0.44 inference(forward_subsumption_resolution,[status(thm)],[f215,f43])).
% 0.10/0.44 fof(f222,plain,(
% 0.10/0.44 ~sQ0_spl),
% 0.10/0.44 inference(contradiction_clause,[status(thm)],[f221])).
% 0.10/0.44 fof(f223,plain,(
% 0.10/0.44 $false|~sQ1_spl),
% 0.10/0.44 inference(forward_subsumption_resolution,[status(thm)],[f218,f89])).
% 0.10/0.44 fof(f224,plain,(
% 0.10/0.44 ~sQ1_spl),
% 0.10/0.44 inference(contradiction_clause,[status(thm)],[f223])).
% 0.10/0.44 fof(f225,plain,(
% 0.10/0.44 $false),
% 0.10/0.44 inference(sat_refutation,[status(thm)],[f220,f222,f224])).
% 0.10/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.46 % Elapsed time: 0.086258 seconds
% 0.10/0.46 % CPU time: 0.485509 seconds
% 0.10/0.46 % Total memory used: 28.436 MB
% 0.10/0.46 % Net memory used: 27.491 MB
%------------------------------------------------------------------------------