%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL058-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 01:09:16 PM UTC 2026
% Result : Unsatisfiable 16.73s 2.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL058-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n013.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 00:01:50 UTC 2026
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % Drodi V4.1.1
% 16.73/2.61 % Refutation found
% 16.73/2.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 16.73/2.61 % SZS output start CNFRefutation for theBenchmark
% 16.73/2.61 fof(f1,axiom,(
% 16.73/2.61 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 16.73/2.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.73/2.61 fof(f2,axiom,(
% 16.73/2.61 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 16.73/2.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.73/2.61 fof(f3,axiom,(
% 16.73/2.61 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 16.73/2.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.73/2.61 fof(f4,axiom,(
% 16.73/2.61 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 16.73/2.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.73/2.61 fof(f5,negated_conjecture,(
% 16.73/2.61 ~ is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))) ),
% 16.73/2.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.73/2.61 fof(f6,plain,(
% 16.73/2.61 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 16.73/2.61 inference(miniscoping,[status(thm)],[f1])).
% 16.73/2.61 fof(f7,plain,(
% 16.73/2.61 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 16.73/2.61 inference(cnf_transformation,[status(thm)],[f6])).
% 16.73/2.61 fof(f8,plain,(
% 16.73/2.61 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 16.73/2.61 inference(cnf_transformation,[status(thm)],[f2])).
% 16.73/2.61 fof(f9,plain,(
% 16.73/2.61 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 16.73/2.61 inference(cnf_transformation,[status(thm)],[f3])).
% 16.73/2.61 fof(f10,plain,(
% 16.73/2.61 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 16.73/2.61 inference(cnf_transformation,[status(thm)],[f4])).
% 16.73/2.61 fof(f11,plain,(
% 16.73/2.61 ~is_a_theorem(implies(implies(a,b),implies(not(b),not(a))))),
% 16.73/2.61 inference(cnf_transformation,[status(thm)],[f5])).
% 16.73/2.61 fof(f12,plain,(
% 16.73/2.61 ![X0]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X0))),
% 16.73/2.61 inference(resolution,[status(thm)],[f7,f9])).
% 16.73/2.61 fof(f13,plain,(
% 16.73/2.61 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f7,f10])).
% 16.73/2.61 fof(f23,plain,(
% 16.73/2.61 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f8,f7])).
% 16.73/2.61 fof(f24,plain,(
% 16.73/2.61 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f23,f7])).
% 16.73/2.61 fof(f25,plain,(
% 16.73/2.61 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X1,X0))|is_a_theorem(X0))),
% 16.73/2.61 inference(resolution,[status(thm)],[f24,f12])).
% 16.73/2.61 fof(f32,plain,(
% 16.73/2.61 ![X0]: (~is_a_theorem(implies(implies(a,b),X0))|~is_a_theorem(implies(X0,implies(not(b),not(a)))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f11,f24])).
% 16.73/2.61 fof(f46,plain,(
% 16.73/2.61 ![X0,X1]: (is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f9,f13])).
% 16.73/2.61 fof(f114,plain,(
% 16.73/2.61 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f23,f9])).
% 16.73/2.61 fof(f115,plain,(
% 16.73/2.61 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f23,f8])).
% 16.73/2.61 fof(f116,plain,(
% 16.73/2.61 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f23,f10])).
% 16.73/2.61 fof(f120,plain,(
% 16.73/2.61 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f114,f7])).
% 16.73/2.61 fof(f127,plain,(
% 16.73/2.61 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f116,f7])).
% 16.73/2.61 fof(f148,plain,(
% 16.73/2.61 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f127,f8])).
% 16.73/2.61 fof(f202,plain,(
% 16.73/2.61 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f24,f116])).
% 16.73/2.61 fof(f204,plain,(
% 16.73/2.61 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f24,f9])).
% 16.73/2.61 fof(f242,plain,(
% 16.73/2.61 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f148,f7])).
% 16.73/2.61 fof(f391,plain,(
% 16.73/2.61 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f115,f7])).
% 16.73/2.61 fof(f416,plain,(
% 16.73/2.61 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f204,f23])).
% 16.73/2.61 fof(f465,plain,(
% 16.73/2.61 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X0),X0)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f242,f204])).
% 16.73/2.61 fof(f579,plain,(
% 16.73/2.61 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X1,not(X0))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f127,f23])).
% 16.73/2.61 fof(f580,plain,(
% 16.73/2.61 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 16.73/2.61 inference(resolution,[status(thm)],[f127,f465])).
% 16.73/2.61 fof(f599,plain,(
% 16.73/2.61 ![X0,X1]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(implies(X1,X0)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f580,f204])).
% 16.73/2.61 fof(f604,plain,(
% 16.73/2.61 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(not(implies(X1,X0)),X2)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f580,f13])).
% 16.73/2.61 fof(f659,plain,(
% 16.73/2.61 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f599,f46])).
% 16.73/2.61 fof(f690,plain,(
% 16.73/2.61 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X0))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f604,f599])).
% 16.73/2.61 fof(f732,plain,(
% 16.73/2.61 ![X0,X1,X2]: (~is_a_theorem(X0)|~is_a_theorem(implies(implies(X1,X0),X2))|is_a_theorem(X2))),
% 16.73/2.61 inference(resolution,[status(thm)],[f690,f25])).
% 16.73/2.61 fof(f774,plain,(
% 16.73/2.61 ![X0]: (~is_a_theorem(implies(implies(X0,b),implies(not(b),not(a))))|~is_a_theorem(implies(X0,a)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f32,f23])).
% 16.73/2.61 fof(f903,plain,(
% 16.73/2.61 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X0,X1),implies(X2,X1))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f732,f8])).
% 16.73/2.61 fof(f986,plain,(
% 16.73/2.61 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X0,X1),X1)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f903,f204])).
% 16.73/2.61 fof(f1014,plain,(
% 16.73/2.61 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X0,implies(not(X1),X1)),X1)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f986,f204])).
% 16.73/2.61 fof(f1022,definition,(
% 16.73/2.61 sQ42_spl <=> (is_a_theorem(implies(b,implies(not(b),not(a)))))),
% 16.73/2.61 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 16.73/2.61 fof(f1024,plain,(
% 16.73/2.61 ~is_a_theorem(implies(b,implies(not(b),not(a))))|sQ42_spl),
% 16.73/2.61 inference(component_clause,[status(thm)],[f1022])).
% 16.73/2.61 fof(f1462,plain,(
% 16.73/2.61 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X1))),
% 16.73/2.61 inference(resolution,[status(thm)],[f120,f7])).
% 16.73/2.61 fof(f1514,plain,(
% 16.73/2.61 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f416,f659])).
% 16.73/2.61 fof(f2546,plain,(
% 16.73/2.61 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),X0))|~is_a_theorem(implies(X1,X0)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f391,f1014])).
% 16.73/2.61 fof(f2867,plain,(
% 16.73/2.61 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f1514,f391])).
% 16.73/2.61 fof(f3450,plain,(
% 16.73/2.61 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f2867,f391])).
% 16.73/2.61 fof(f4228,plain,(
% 16.73/2.61 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f3450,f127])).
% 16.73/2.61 fof(f4256,plain,(
% 16.73/2.61 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f4228,f202])).
% 16.73/2.61 fof(f4287,plain,(
% 16.73/2.61 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(X0,implies(X1,X0))),X2)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f4256,f13])).
% 16.73/2.61 fof(f5277,plain,(
% 16.73/2.61 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 16.73/2.61 inference(resolution,[status(thm)],[f4287,f1462])).
% 16.73/2.61 fof(f5729,plain,(
% 16.34/2.63 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 16.34/2.63 inference(resolution,[status(thm)],[f5277,f8])).
% 16.34/2.63 fof(f5880,plain,(
% 16.34/2.63 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 16.34/2.63 inference(resolution,[status(thm)],[f5729,f7])).
% 16.34/2.63 fof(f6124,plain,(
% 16.34/2.63 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 16.34/2.63 inference(resolution,[status(thm)],[f5880,f3450])).
% 16.34/2.63 fof(f6206,plain,(
% 16.34/2.63 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 16.34/2.63 inference(resolution,[status(thm)],[f6124,f202])).
% 16.34/2.63 fof(f6216,plain,(
% 16.34/2.63 ![X0]: (is_a_theorem(implies(not(not(X0)),X0)))),
% 16.34/2.63 inference(resolution,[status(thm)],[f6206,f204])).
% 16.34/2.63 fof(f6273,plain,(
% 16.34/2.63 ![X0]: (is_a_theorem(implies(implies(X0,not(X0)),not(X0))))),
% 16.34/2.63 inference(resolution,[status(thm)],[f6216,f416])).
% 16.34/2.63 fof(f6470,plain,(
% 16.34/2.63 ![X0]: (is_a_theorem(implies(X0,not(not(X0)))))),
% 16.34/2.63 inference(resolution,[status(thm)],[f6273,f127])).
% 16.34/2.63 fof(f6503,plain,(
% 16.34/2.63 ![X0,X1]: (is_a_theorem(implies(X0,not(not(implies(X1,X0))))))),
% 16.34/2.63 inference(resolution,[status(thm)],[f6470,f5880])).
% 16.34/2.63 fof(f6664,plain,(
% 16.34/2.63 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(X0,X1)),implies(X1,X2))))),
% 16.34/2.63 inference(resolution,[status(thm)],[f6503,f579])).
% 16.34/2.63 fof(f6943,plain,(
% 16.34/2.63 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,not(X1))),X1)))),
% 16.34/2.63 inference(resolution,[status(thm)],[f6664,f204])).
% 16.34/2.63 fof(f8357,plain,(
% 16.34/2.63 ~is_a_theorem(implies(not(implies(not(b),not(a))),a))|~is_a_theorem(implies(b,implies(not(b),not(a))))),
% 16.34/2.63 inference(resolution,[status(thm)],[f774,f2546])).
% 16.34/2.63 fof(f8374,definition,(
% 16.34/2.63 sQ221_spl <=> (is_a_theorem(implies(not(implies(not(b),not(a))),a)))),
% 16.34/2.63 introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition])).
% 16.34/2.63 fof(f8376,plain,(
% 16.34/2.63 ~is_a_theorem(implies(not(implies(not(b),not(a))),a))|sQ221_spl),
% 16.34/2.63 inference(component_clause,[status(thm)],[f8374])).
% 16.34/2.63 fof(f8377,plain,(
% 16.34/2.63 ~sQ221_spl|~sQ42_spl),
% 16.34/2.63 inference(split_clause,[status(thm)],[f8357,f8374,f1022])).
% 16.34/2.63 fof(f8392,plain,(
% 16.34/2.63 $false|sQ42_spl),
% 16.34/2.63 inference(forward_subsumption_resolution,[status(thm)],[f1024,f10])).
% 16.34/2.63 fof(f8393,plain,(
% 16.34/2.63 sQ42_spl),
% 16.34/2.63 inference(contradiction_clause,[status(thm)],[f8392])).
% 16.34/2.63 fof(f8394,plain,(
% 16.34/2.63 $false|sQ221_spl),
% 16.34/2.63 inference(forward_subsumption_resolution,[status(thm)],[f8376,f6943])).
% 16.34/2.63 fof(f8395,plain,(
% 16.34/2.63 sQ221_spl),
% 16.34/2.63 inference(contradiction_clause,[status(thm)],[f8394])).
% 16.34/2.63 fof(f8396,plain,(
% 16.34/2.63 $false),
% 16.34/2.63 inference(sat_refutation,[status(thm)],[f8377,f8393,f8395])).
% 16.34/2.63 % SZS output end CNFRefutation for theBenchmark.p
% 16.34/2.67 % Elapsed time: 2.285913 seconds
% 16.34/2.67 % CPU time: 17.828626 seconds
% 16.34/2.67 % Total memory used: 211.078 MB
% 16.34/2.67 % Net memory used: 187.373 MB
%------------------------------------------------------------------------------