%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL060-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 81.57s 10.74s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL060-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n020.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 00:03:17 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 81.57/10.74 % Refutation found
% 81.57/10.74 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 81.57/10.74 % SZS output start CNFRefutation for theBenchmark
% 81.57/10.74 fof(f1,axiom,(
% 81.57/10.74 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 81.57/10.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.74 fof(f2,axiom,(
% 81.57/10.74 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 81.57/10.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.74 fof(f3,axiom,(
% 81.57/10.74 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 81.57/10.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.74 fof(f4,axiom,(
% 81.57/10.74 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 81.57/10.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.74 fof(f5,negated_conjecture,(
% 81.57/10.74 ~ is_a_theorem(implies(implies(a,b),implies(implies(not(a),b),b))) ),
% 81.57/10.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.74 fof(f6,plain,(
% 81.57/10.74 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 81.57/10.74 inference(miniscoping,[status(thm)],[f1])).
% 81.57/10.74 fof(f7,plain,(
% 81.57/10.74 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 81.57/10.74 inference(cnf_transformation,[status(thm)],[f6])).
% 81.57/10.74 fof(f8,plain,(
% 81.57/10.74 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 81.57/10.74 inference(cnf_transformation,[status(thm)],[f2])).
% 81.57/10.74 fof(f9,plain,(
% 81.57/10.74 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 81.57/10.74 inference(cnf_transformation,[status(thm)],[f3])).
% 81.57/10.74 fof(f10,plain,(
% 81.57/10.74 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 81.57/10.74 inference(cnf_transformation,[status(thm)],[f4])).
% 81.57/10.74 fof(f11,plain,(
% 81.57/10.74 ~is_a_theorem(implies(implies(a,b),implies(implies(not(a),b),b)))),
% 81.57/10.74 inference(cnf_transformation,[status(thm)],[f5])).
% 81.57/10.74 fof(f13,plain,(
% 81.57/10.74 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 81.57/10.74 inference(resolution,[status(thm)],[f7,f10])).
% 81.57/10.74 fof(f14,plain,(
% 81.57/10.74 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 81.57/10.74 inference(resolution,[status(thm)],[f8,f7])).
% 81.57/10.74 fof(f24,plain,(
% 81.57/10.74 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 81.57/10.74 inference(resolution,[status(thm)],[f14,f7])).
% 81.57/10.74 fof(f26,plain,(
% 81.57/10.74 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X0)|is_a_theorem(X2))),
% 81.57/10.74 inference(resolution,[status(thm)],[f24,f7])).
% 81.57/10.74 fof(f28,plain,(
% 81.57/10.74 ![X0]: (~is_a_theorem(implies(implies(a,b),X0))|~is_a_theorem(implies(X0,implies(implies(not(a),b),b))))),
% 81.57/10.74 inference(resolution,[status(thm)],[f11,f24])).
% 81.57/10.74 fof(f36,plain,(
% 81.57/10.74 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 81.57/10.74 inference(resolution,[status(thm)],[f26,f9])).
% 81.57/10.74 fof(f39,plain,(
% 81.57/10.74 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(implies(not(X1),X2)))),
% 81.57/10.74 inference(resolution,[status(thm)],[f26,f10])).
% 81.57/10.74 fof(f48,plain,(
% 81.57/10.74 ![X0,X1]: (is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)))),
% 81.57/10.74 inference(resolution,[status(thm)],[f9,f13])).
% 81.57/10.74 fof(f62,definition,(
% 81.57/10.74 ![X1]: (sQ4_spl <=> (~is_a_theorem(X1)))),
% 81.57/10.74 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 81.57/10.74 fof(f63,plain,(
% 81.57/10.74 ![X0]: (~is_a_theorem(X0)|~sQ4_spl)),
% 81.57/10.74 inference(component_clause,[status(thm)],[f62])).
% 81.57/10.74 fof(f86,plain,(
% 81.57/10.74 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(not(implies(not(X0),X1)),X2)))),
% 81.57/10.74 inference(resolution,[status(thm)],[f39,f10])).
% 81.57/10.74 fof(f97,plain,(
% 81.57/10.74 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 81.57/10.74 inference(resolution,[status(thm)],[f14,f8])).
% 81.57/10.74 fof(f98,plain,(
% 81.57/10.74 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 81.57/10.74 inference(resolution,[status(thm)],[f14,f10])).
% 81.57/10.74 fof(f115,plain,(
% 81.57/10.74 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 81.57/10.74 inference(resolution,[status(thm)],[f98,f7])).
% 81.57/10.74 fof(f133,plain,(
% 81.57/10.74 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 81.57/10.74 inference(resolution,[status(thm)],[f115,f9])).
% 81.57/10.74 fof(f135,plain,(
% 81.57/10.74 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))))),
% 81.57/10.74 inference(resolution,[status(thm)],[f115,f8])).
% 81.57/10.74 fof(f145,plain,(
% 81.57/10.74 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(not(implies(X0,X0)),X1)),X2)))),
% 81.57/10.74 inference(resolution,[status(thm)],[f133,f86])).
% 81.57/10.74 fof(f149,plain,(
% 81.57/10.74 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 81.57/10.74 inference(resolution,[status(thm)],[f24,f98])).
% 81.57/10.74 fof(f151,plain,(
% 81.57/10.74 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 81.57/10.74 inference(resolution,[status(thm)],[f24,f9])).
% 81.57/10.74 fof(f154,plain,(
% 81.57/10.74 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,implies(not(X1),X2))))),
% 81.57/10.74 inference(resolution,[status(thm)],[f24,f10])).
% 81.57/10.74 fof(f229,plain,(
% 81.57/10.74 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 81.57/10.74 inference(resolution,[status(thm)],[f135,f7])).
% 81.57/10.74 fof(f247,plain,(
% 81.57/10.74 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 81.57/10.74 inference(resolution,[status(thm)],[f97,f7])).
% 81.57/10.74 fof(f328,plain,(
% 81.57/10.74 $false|~sQ4_spl),
% 81.57/10.74 inference(backward_subsumption_resolution,[status(thm)],[f145,f63])).
% 81.57/10.74 fof(f345,plain,(
% 81.57/10.74 ~sQ4_spl),
% 81.57/10.74 inference(contradiction_clause,[status(thm)],[f328])).
% 81.57/10.74 fof(f439,plain,(
% 81.57/10.74 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(implies(not(X1),X2)))),
% 81.57/10.74 inference(resolution,[status(thm)],[f154,f7])).
% 81.57/10.74 fof(f477,plain,(
% 81.57/10.74 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 81.57/10.74 inference(resolution,[status(thm)],[f98,f7])).
% 81.57/10.74 fof(f511,plain,(
% 81.57/10.74 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 81.57/10.74 inference(resolution,[status(thm)],[f115,f229])).
% 81.57/10.74 fof(f545,plain,(
% 81.57/10.74 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 81.57/10.74 inference(resolution,[status(thm)],[f151,f14])).
% 81.57/10.74 fof(f557,plain,(
% 81.57/10.74 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 81.57/10.74 inference(resolution,[status(thm)],[f151,f511])).
% 81.57/10.74 fof(f571,plain,(
% 81.57/10.74 ![X0,X1]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(implies(X1,X0)))),
% 81.57/10.74 inference(resolution,[status(thm)],[f557,f151])).
% 81.57/10.74 fof(f1399,plain,(
% 81.57/10.74 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 81.57/10.74 inference(resolution,[status(thm)],[f48,f571])).
% 81.57/10.74 fof(f1961,plain,(
% 81.57/10.74 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 81.57/10.74 inference(resolution,[status(thm)],[f545,f1399])).
% 81.57/10.74 fof(f1965,plain,(
% 81.57/10.74 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),X2))|~is_a_theorem(X0))),
% 81.57/10.74 inference(resolution,[status(thm)],[f545,f511])).
% 81.57/10.74 fof(f1970,plain,(
% 81.57/10.74 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(X0))),
% 81.57/10.74 inference(resolution,[status(thm)],[f545,f557])).
% 81.57/10.74 fof(f2254,plain,(
% 81.57/10.74 ![X0]: (~is_a_theorem(implies(implies(X0,b),implies(implies(not(a),b),b)))|~is_a_theorem(implies(X0,a)))),
% 81.57/10.74 inference(resolution,[status(thm)],[f28,f14])).
% 81.57/10.74 fof(f3163,plain,(
% 81.57/10.74 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 81.57/10.74 inference(resolution,[status(thm)],[f1961,f247])).
% 81.57/10.74 fof(f3249,plain,(
% 81.57/10.74 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,not(X0)),implies(X1,X2))))),
% 81.57/10.74 inference(resolution,[status(thm)],[f1965,f247])).
% 81.57/10.74 fof(f3969,plain,(
% 81.57/10.74 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 81.57/10.74 inference(resolution,[status(thm)],[f3163,f247])).
% 81.57/10.74 fof(f4214,plain,(
% 81.57/10.74 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(implies(not(X1),not(X0)))|is_a_theorem(X1))),
% 81.57/10.74 inference(resolution,[status(thm)],[f3249,f36])).
% 81.57/10.74 fof(f4432,plain,(
% 81.57/10.74 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 81.57/10.74 inference(resolution,[status(thm)],[f3969,f477])).
% 81.57/10.74 fof(f4440,plain,(
% 81.57/10.74 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 81.57/10.74 inference(resolution,[status(thm)],[f3969,f149])).
% 81.57/10.74 fof(f4466,plain,(
% 81.57/10.74 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 81.57/10.74 inference(resolution,[status(thm)],[f4432,f149])).
% 81.57/10.76 fof(f4505,plain,(
% 81.57/10.76 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),X2)))),
% 81.57/10.76 inference(resolution,[status(thm)],[f4466,f1970])).
% 81.57/10.76 fof(f4912,definition,(
% 81.57/10.76 ![X2,X3]: (sQ118_spl <=> (is_a_theorem(X2)|~is_a_theorem(implies(X3,X2))|~is_a_theorem(X3)))),
% 81.57/10.76 introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition])).
% 81.57/10.76 fof(f4913,plain,(
% 81.57/10.76 ![X0,X1]: (is_a_theorem(X0)|~is_a_theorem(implies(X1,X0))|~is_a_theorem(X1)|~sQ118_spl)),
% 81.57/10.76 inference(component_clause,[status(thm)],[f4912])).
% 81.57/10.76 fof(f5495,plain,(
% 81.57/10.76 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))))),
% 81.57/10.76 inference(resolution,[status(thm)],[f4505,f247])).
% 81.57/10.76 fof(f5526,plain,(
% 81.57/10.76 ![X0,X1,X2]: (is_a_theorem(X0)|~is_a_theorem(implies(implies(X1,implies(X2,X1)),X0))|~sQ118_spl)),
% 81.57/10.76 inference(resolution,[status(thm)],[f4505,f4913])).
% 81.57/10.76 fof(f5898,plain,(
% 81.57/10.76 ![X0,X1]: (is_a_theorem(implies(implies(not(implies(X0,X1)),X1),implies(X0,X1))))),
% 81.57/10.76 inference(resolution,[status(thm)],[f5495,f151])).
% 81.57/10.76 fof(f5938,plain,(
% 81.57/10.76 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))|~sQ118_spl)),
% 81.57/10.76 inference(resolution,[status(thm)],[f5526,f8])).
% 81.57/10.76 fof(f6066,plain,(
% 81.57/10.76 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X2,X0),X1))|~sQ118_spl)),
% 81.57/10.76 inference(resolution,[status(thm)],[f5938,f4913])).
% 81.57/10.76 fof(f6274,plain,(
% 81.57/10.76 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))|~sQ118_spl)),
% 81.57/10.76 inference(resolution,[status(thm)],[f6066,f3969])).
% 81.57/10.76 fof(f6344,plain,(
% 81.57/10.76 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1)))|~sQ118_spl)),
% 81.57/10.76 inference(resolution,[status(thm)],[f6274,f149])).
% 81.57/10.76 fof(f6355,plain,(
% 81.57/10.76 ![X0]: (is_a_theorem(implies(not(not(X0)),X0))|~sQ118_spl)),
% 81.57/10.76 inference(resolution,[status(thm)],[f6344,f151])).
% 81.57/10.76 fof(f6364,plain,(
% 81.57/10.76 ![X0]: (is_a_theorem(implies(implies(X0,not(X0)),not(X0)))|~sQ118_spl)),
% 81.57/10.76 inference(resolution,[status(thm)],[f6355,f545])).
% 81.57/10.76 fof(f6591,plain,(
% 81.57/10.76 ![X0]: (is_a_theorem(implies(X0,not(not(X0))))|~sQ118_spl)),
% 81.57/10.76 inference(resolution,[status(thm)],[f6364,f477])).
% 81.57/10.76 fof(f6673,plain,(
% 81.57/10.76 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,not(not(X1))))|~sQ118_spl)),
% 81.57/10.76 inference(resolution,[status(thm)],[f6591,f24])).
% 81.57/10.76 fof(f8331,plain,(
% 81.57/10.76 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X1),not(X0)))|~sQ118_spl)),
% 81.57/10.76 inference(resolution,[status(thm)],[f4440,f4913])).
% 81.57/10.76 fof(f13940,plain,(
% 81.57/10.76 ![X0,X1]: (is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(not(X1),X0))|~sQ118_spl)),
% 81.57/10.76 inference(resolution,[status(thm)],[f8331,f6673])).
% 81.57/10.76 fof(f17814,plain,(
% 81.57/10.76 ![X0,X1]: (is_a_theorem(implies(not(implies(implies(not(X0),X1),X1)),X0))|~sQ118_spl)),
% 81.57/10.76 inference(resolution,[status(thm)],[f13940,f6274])).
% 81.57/10.76 fof(f20354,plain,(
% 81.57/10.76 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|~is_a_theorem(X2)|is_a_theorem(X1))),
% 81.57/10.76 inference(resolution,[status(thm)],[f439,f4214])).
% 81.57/10.76 fof(f20449,plain,(
% 81.57/10.76 sQ118_spl|sQ4_spl),
% 81.57/10.76 inference(split_clause,[status(thm)],[f20354,f4912,f62])).
% 81.57/10.76 fof(f21027,plain,(
% 81.57/10.76 ~is_a_theorem(implies(not(implies(implies(not(a),b),b)),a))),
% 81.57/10.77 inference(resolution,[status(thm)],[f5898,f2254])).
% 81.57/10.77 fof(f21055,plain,(
% 81.57/10.77 $false|~sQ118_spl),
% 81.57/10.77 inference(forward_subsumption_resolution,[status(thm)],[f21027,f17814])).
% 81.57/10.77 fof(f21056,plain,(
% 81.57/10.77 ~sQ118_spl),
% 81.57/10.77 inference(contradiction_clause,[status(thm)],[f21055])).
% 81.57/10.77 fof(f21057,plain,(
% 81.57/10.77 $false),
% 81.57/10.77 inference(sat_refutation,[status(thm)],[f345,f20449,f21056])).
% 81.57/10.77 % SZS output end CNFRefutation for theBenchmark.p
% 10.84/10.84 % Elapsed time: 10.449636 seconds
% 10.84/10.84 % CPU time: 82.258304 seconds
% 10.84/10.84 % Total memory used: 603.344 MB
% 10.84/10.84 % Net memory used: 524.561 MB
%------------------------------------------------------------------------------