%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL402-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 01:09:59 PM UTC 2026
% Result : Unsatisfiable 18.24s 2.77s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL402-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n013.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 00:28:05 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 18.24/2.77 % Refutation found
% 18.24/2.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 18.24/2.77 % SZS output start CNFRefutation for theBenchmark
% 18.24/2.77 fof(f1,axiom,(
% 18.24/2.77 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 18.24/2.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.24/2.77 fof(f2,axiom,(
% 18.24/2.77 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 18.24/2.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.24/2.77 fof(f3,axiom,(
% 18.24/2.77 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 18.24/2.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.24/2.77 fof(f4,axiom,(
% 18.24/2.77 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 18.24/2.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.24/2.77 fof(f5,negated_conjecture,(
% 18.24/2.77 ~ is_a_theorem(implies(not(implies(x,not(y))),y)) ),
% 18.24/2.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.24/2.77 fof(f6,plain,(
% 18.24/2.77 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 18.24/2.77 inference(miniscoping,[status(thm)],[f1])).
% 18.24/2.77 fof(f7,plain,(
% 18.24/2.77 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 18.24/2.77 inference(cnf_transformation,[status(thm)],[f6])).
% 18.24/2.77 fof(f8,plain,(
% 18.24/2.77 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 18.24/2.77 inference(cnf_transformation,[status(thm)],[f2])).
% 18.24/2.77 fof(f9,plain,(
% 18.24/2.77 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 18.24/2.77 inference(cnf_transformation,[status(thm)],[f3])).
% 18.24/2.77 fof(f10,plain,(
% 18.24/2.77 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 18.24/2.77 inference(cnf_transformation,[status(thm)],[f4])).
% 18.24/2.77 fof(f11,plain,(
% 18.24/2.77 ~is_a_theorem(implies(not(implies(x,not(y))),y))),
% 18.24/2.77 inference(cnf_transformation,[status(thm)],[f5])).
% 18.24/2.77 fof(f13,plain,(
% 18.24/2.77 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f8,f7])).
% 18.24/2.77 fof(f18,plain,(
% 18.24/2.77 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f13,f9])).
% 18.24/2.77 fof(f19,plain,(
% 18.24/2.77 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f13,f8])).
% 18.24/2.77 fof(f20,plain,(
% 18.24/2.77 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f13,f10])).
% 18.24/2.77 fof(f33,plain,(
% 18.24/2.77 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f18,f13])).
% 18.24/2.77 fof(f37,plain,(
% 18.24/2.77 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 18.24/2.77 inference(resolution,[status(thm)],[f19,f7])).
% 18.24/2.77 fof(f39,plain,(
% 18.24/2.77 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(not(X0),X3),X1),X2))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f20,f13])).
% 18.24/2.77 fof(f40,plain,(
% 18.24/2.77 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 18.24/2.77 inference(resolution,[status(thm)],[f20,f7])).
% 18.24/2.77 fof(f89,plain,(
% 18.24/2.77 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X3),implies(implies(implies(implies(not(X0),X0),X1),X2),X3))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f33,f13])).
% 18.24/2.77 fof(f90,plain,(
% 18.24/2.77 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(not(X0),X0),X1),X2))|is_a_theorem(implies(implies(X0,X1),X2)))),
% 18.24/2.77 inference(resolution,[status(thm)],[f33,f7])).
% 18.24/2.77 fof(f93,plain,(
% 18.24/2.77 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 18.24/2.77 inference(resolution,[status(thm)],[f40,f9])).
% 18.24/2.77 fof(f115,plain,(
% 18.24/2.77 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f37,f20])).
% 18.24/2.77 fof(f116,plain,(
% 18.24/2.77 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f37,f33])).
% 18.24/2.77 fof(f140,plain,(
% 18.24/2.77 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(implies(not(X0),X1),X2),X3),X4),implies(implies(implies(X0,X2),X3),X4))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f39,f13])).
% 18.24/2.77 fof(f141,plain,(
% 18.24/2.77 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(implies(implies(not(X0),X3),X1),X2)))),
% 18.24/2.77 inference(resolution,[status(thm)],[f39,f7])).
% 18.24/2.77 fof(f263,plain,(
% 18.24/2.77 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f115,f40])).
% 18.24/2.77 fof(f266,plain,(
% 18.24/2.77 ![X0,X1,X2]: (~is_a_theorem(implies(X0,not(X1)))|is_a_theorem(implies(X1,implies(X0,X2))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f115,f7])).
% 18.24/2.77 fof(f284,plain,(
% 18.24/2.77 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f263,f13])).
% 18.24/2.77 fof(f285,plain,(
% 18.24/2.77 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(not(X0),X2))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f263,f7])).
% 18.24/2.77 fof(f342,plain,(
% 18.24/2.77 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f285,f93])).
% 18.24/2.77 fof(f363,plain,(
% 18.24/2.77 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(not(implies(X0,X0)),X1),X2),implies(X3,X2))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f342,f13])).
% 18.24/2.77 fof(f537,plain,(
% 18.24/2.77 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),X2),X3))|is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),X3)))),
% 18.24/2.77 inference(resolution,[status(thm)],[f89,f7])).
% 18.24/2.77 fof(f737,plain,(
% 18.24/2.77 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f116,f7])).
% 18.24/2.77 fof(f938,plain,(
% 18.24/2.77 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(implies(not(X0),X1),X2),X3),X4))|is_a_theorem(implies(implies(implies(X0,X2),X3),X4)))),
% 18.24/2.77 inference(resolution,[status(thm)],[f140,f7])).
% 18.24/2.77 fof(f1001,plain,(
% 18.24/2.77 ![X0,X1]: (is_a_theorem(implies(implies(implies(not(not(X0)),X1),X0),X0)))),
% 18.24/2.77 inference(resolution,[status(thm)],[f141,f9])).
% 18.24/2.77 fof(f1047,plain,(
% 18.24/2.77 ![X0,X1]: (~is_a_theorem(implies(implies(not(not(X0)),X1),X0))|is_a_theorem(X0))),
% 18.24/2.77 inference(resolution,[status(thm)],[f1001,f7])).
% 18.24/2.77 fof(f1279,plain,(
% 18.24/2.77 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))|is_a_theorem(implies(X1,X3)))),
% 18.24/2.77 inference(resolution,[status(thm)],[f284,f7])).
% 18.24/2.77 fof(f1313,plain,(
% 18.24/2.77 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f363,f90])).
% 18.24/2.77 fof(f1343,plain,(
% 18.24/2.77 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(X2,X1)))),
% 18.24/2.77 inference(resolution,[status(thm)],[f1313,f7])).
% 18.24/2.77 fof(f6868,plain,(
% 18.24/2.77 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X2),X0),X1))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f737,f1313])).
% 18.24/2.77 fof(f6991,plain,(
% 18.24/2.77 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f6868,f1343])).
% 18.24/2.77 fof(f7066,plain,(
% 18.24/2.77 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1)))),
% 18.24/2.77 inference(resolution,[status(thm)],[f6991,f1047])).
% 18.24/2.77 fof(f7133,plain,(
% 18.24/2.77 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 18.24/2.77 inference(resolution,[status(thm)],[f7066,f537])).
% 18.24/2.77 fof(f8177,plain,(
% 18.24/2.77 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f7133,f37])).
% 18.24/2.77 fof(f9448,plain,(
% 18.24/2.77 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f8177,f37])).
% 18.24/2.77 fof(f9456,plain,(
% 18.24/2.77 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f8177,f1279])).
% 18.24/2.77 fof(f9468,plain,(
% 18.24/2.77 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 18.24/2.77 inference(resolution,[status(thm)],[f8177,f7])).
% 18.24/2.77 fof(f9560,plain,(
% 18.24/2.77 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 18.24/2.77 inference(resolution,[status(thm)],[f9456,f13])).
% 18.24/2.77 fof(f10930,plain,(
% 18.24/2.77 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 18.24/2.77 inference(resolution,[status(thm)],[f9560,f7])).
% 18.24/2.81 fof(f14501,plain,(
% 18.24/2.81 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 18.24/2.81 inference(resolution,[status(thm)],[f9448,f10930])).
% 18.24/2.81 fof(f14513,plain,(
% 18.24/2.81 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X1,X0),X0)))),
% 18.24/2.81 inference(resolution,[status(thm)],[f9448,f7])).
% 18.24/2.81 fof(f21157,plain,(
% 18.24/2.81 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X1),X1),X0),X0)))),
% 18.24/2.81 inference(resolution,[status(thm)],[f14513,f14501])).
% 18.24/2.81 fof(f25677,plain,(
% 18.24/2.81 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),X0)))),
% 18.24/2.81 inference(resolution,[status(thm)],[f21157,f938])).
% 18.24/2.81 fof(f25806,plain,(
% 18.24/2.81 ![X0]: (is_a_theorem(implies(implies(X0,not(X0)),not(X0))))),
% 18.24/2.81 inference(resolution,[status(thm)],[f25677,f90])).
% 18.24/2.81 fof(f26886,plain,(
% 18.24/2.81 ![X0]: (is_a_theorem(implies(X0,not(not(X0)))))),
% 18.24/2.81 inference(resolution,[status(thm)],[f25806,f40])).
% 18.24/2.81 fof(f27022,plain,(
% 18.24/2.81 ![X0,X1]: (is_a_theorem(implies(X0,not(not(implies(X1,X0))))))),
% 18.24/2.81 inference(resolution,[status(thm)],[f26886,f10930])).
% 18.24/2.81 fof(f28946,plain,(
% 18.24/2.81 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(X0,X1)),implies(X1,X2))))),
% 18.24/2.81 inference(resolution,[status(thm)],[f27022,f266])).
% 18.24/2.81 fof(f32110,plain,(
% 18.24/2.81 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,not(X1))),X1)))),
% 18.24/2.81 inference(resolution,[status(thm)],[f28946,f9468])).
% 18.24/2.81 fof(f32238,plain,(
% 18.24/2.81 $false),
% 18.24/2.81 inference(backward_subsumption_resolution,[status(thm)],[f11,f32110])).
% 18.24/2.81 % SZS output end CNFRefutation for theBenchmark.p
% 5.64/2.84 % Elapsed time: 2.474117 seconds
% 5.64/2.84 % CPU time: 19.104460 seconds
% 5.64/2.84 % Total memory used: 198.316 MB
% 5.64/2.84 % Net memory used: 175.534 MB
%------------------------------------------------------------------------------