%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL055-1 : 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 18.14s 2.75s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL055-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 00:01:37 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 18.14/2.75 % Refutation found
% 18.14/2.75 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 18.14/2.75 % SZS output start CNFRefutation for theBenchmark
% 18.14/2.75 fof(f1,axiom,(
% 18.14/2.75 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 18.14/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.14/2.75 fof(f2,axiom,(
% 18.14/2.75 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 18.14/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.14/2.75 fof(f3,axiom,(
% 18.14/2.75 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 18.14/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.14/2.75 fof(f4,axiom,(
% 18.14/2.75 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 18.14/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.14/2.75 fof(f5,negated_conjecture,(
% 18.14/2.75 ~ is_a_theorem(implies(implies(implies(a,b),c),implies(not(a),c))) ),
% 18.14/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.14/2.75 fof(f6,plain,(
% 18.14/2.75 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 18.14/2.75 inference(miniscoping,[status(thm)],[f1])).
% 18.14/2.75 fof(f7,plain,(
% 18.14/2.75 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 18.14/2.75 inference(cnf_transformation,[status(thm)],[f6])).
% 18.14/2.75 fof(f8,plain,(
% 18.14/2.75 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 18.14/2.75 inference(cnf_transformation,[status(thm)],[f2])).
% 18.14/2.75 fof(f9,plain,(
% 18.14/2.75 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 18.14/2.75 inference(cnf_transformation,[status(thm)],[f3])).
% 18.14/2.75 fof(f10,plain,(
% 18.14/2.75 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 18.14/2.75 inference(cnf_transformation,[status(thm)],[f4])).
% 18.14/2.75 fof(f11,plain,(
% 18.14/2.75 ~is_a_theorem(implies(implies(implies(a,b),c),implies(not(a),c)))),
% 18.14/2.75 inference(cnf_transformation,[status(thm)],[f5])).
% 18.14/2.75 fof(f12,plain,(
% 18.14/2.75 ![X0]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X0))),
% 18.14/2.75 inference(resolution,[status(thm)],[f7,f9])).
% 18.14/2.75 fof(f14,plain,(
% 18.14/2.75 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 18.14/2.75 inference(resolution,[status(thm)],[f8,f7])).
% 18.14/2.75 fof(f24,plain,(
% 18.14/2.75 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 18.14/2.75 inference(resolution,[status(thm)],[f14,f7])).
% 18.14/2.75 fof(f27,plain,(
% 18.14/2.75 ~is_a_theorem(implies(not(a),implies(a,b)))),
% 18.14/2.75 inference(resolution,[status(thm)],[f11,f14])).
% 18.14/2.75 fof(f86,plain,(
% 18.14/2.75 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 18.14/2.75 inference(resolution,[status(thm)],[f14,f9])).
% 18.14/2.75 fof(f87,plain,(
% 18.14/2.75 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 18.14/2.75 inference(resolution,[status(thm)],[f14,f8])).
% 18.14/2.75 fof(f88,plain,(
% 18.14/2.75 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 18.14/2.75 inference(resolution,[status(thm)],[f14,f10])).
% 18.14/2.75 fof(f117,plain,(
% 18.14/2.75 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 18.14/2.75 inference(resolution,[status(thm)],[f88,f7])).
% 18.14/2.75 fof(f136,plain,(
% 18.14/2.75 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 18.14/2.75 inference(resolution,[status(thm)],[f24,f88])).
% 18.14/2.75 fof(f138,plain,(
% 18.14/2.75 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 18.14/2.75 inference(resolution,[status(thm)],[f24,f9])).
% 18.14/2.75 fof(f139,plain,(
% 18.14/2.75 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X0,implies(implies(not(X1),X1),X2))))),
% 18.14/2.75 inference(resolution,[status(thm)],[f24,f86])).
% 18.14/2.75 fof(f145,plain,(
% 18.14/2.75 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))))),
% 18.14/2.75 inference(resolution,[status(thm)],[f117,f8])).
% 18.14/2.75 fof(f229,plain,(
% 18.14/2.75 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 18.14/2.75 inference(resolution,[status(thm)],[f87,f7])).
% 18.14/2.75 fof(f275,plain,(
% 18.14/2.75 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 18.14/2.75 inference(resolution,[status(thm)],[f145,f7])).
% 18.14/2.75 fof(f1035,plain,(
% 18.14/2.75 ![X0,X1]: (~is_a_theorem(implies(not(implies(implies(not(X0),X0),X1)),implies(X0,X1)))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 18.14/2.77 inference(resolution,[status(thm)],[f139,f12])).
% 18.14/2.77 fof(f1107,plain,(
% 18.14/2.77 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 18.14/2.77 inference(resolution,[status(thm)],[f117,f275])).
% 18.14/2.77 fof(f1117,plain,(
% 18.14/2.77 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(not(X0),X2),X3))|~is_a_theorem(implies(X3,X1)))),
% 18.14/2.77 inference(resolution,[status(thm)],[f117,f24])).
% 18.14/2.77 fof(f1172,plain,(
% 18.14/2.77 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 18.14/2.77 inference(resolution,[status(thm)],[f138,f14])).
% 18.14/2.77 fof(f1187,plain,(
% 18.14/2.77 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 18.14/2.77 inference(resolution,[status(thm)],[f138,f1107])).
% 18.14/2.77 fof(f1213,plain,(
% 18.14/2.77 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 18.14/2.77 inference(resolution,[status(thm)],[f1187,f9])).
% 18.14/2.77 fof(f3565,plain,(
% 18.14/2.77 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 18.14/2.77 inference(resolution,[status(thm)],[f1172,f1213])).
% 18.14/2.77 fof(f5661,plain,(
% 18.14/2.77 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 18.14/2.77 inference(resolution,[status(thm)],[f3565,f229])).
% 18.14/2.77 fof(f6117,plain,(
% 18.14/2.77 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 18.14/2.77 inference(resolution,[status(thm)],[f5661,f229])).
% 18.14/2.77 fof(f7069,plain,(
% 18.14/2.77 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 18.14/2.77 inference(resolution,[status(thm)],[f6117,f117])).
% 18.14/2.77 fof(f7127,plain,(
% 18.14/2.77 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 18.14/2.77 inference(resolution,[status(thm)],[f7069,f136])).
% 18.14/2.77 fof(f7195,plain,(
% 18.14/2.77 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 18.14/2.77 inference(resolution,[status(thm)],[f7127,f1187])).
% 18.14/2.77 fof(f7991,plain,(
% 18.14/2.77 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0))))),
% 18.14/2.77 inference(resolution,[status(thm)],[f1035,f7195])).
% 18.14/2.77 fof(f8674,plain,(
% 18.14/2.77 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X2,X0),X1)))),
% 18.14/2.77 inference(resolution,[status(thm)],[f1117,f7991])).
% 18.14/2.77 fof(f9794,plain,(
% 18.14/2.77 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 18.14/2.77 inference(resolution,[status(thm)],[f8674,f6117])).
% 18.14/2.77 fof(f9892,plain,(
% 18.14/2.77 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 18.14/2.77 inference(resolution,[status(thm)],[f9794,f136])).
% 18.14/2.77 fof(f9909,plain,(
% 18.14/2.77 $false),
% 18.14/2.77 inference(backward_subsumption_resolution,[status(thm)],[f27,f9892])).
% 18.14/2.77 % SZS output end CNFRefutation for theBenchmark.p
% 18.14/2.80 % Elapsed time: 2.409830 seconds
% 18.14/2.80 % CPU time: 18.835545 seconds
% 18.14/2.80 % Total memory used: 224.721 MB
% 18.14/2.80 % Net memory used: 199.814 MB
%------------------------------------------------------------------------------