%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL414-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 01:10:01 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL414-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n020.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 00:31:02 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.41 fof(f1,negated_conjecture,(
% 0.12/0.41 (![B,A]: (( a_truth(B)| ~ a_truth(A)| ~ a_truth(implies(A,B)) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f2,negated_conjecture,(
% 0.12/0.41 (![A,B]: (a_truth(implies(A,implies(B,A))) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f3,negated_conjecture,(
% 0.12/0.41 (![A,B,C]: (a_truth(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f5,negated_conjecture,(
% 0.12/0.41 ~ a_truth(implies(sk1,sk1)) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f6,plain,(
% 0.12/0.41 ![X0,X1]: (a_truth(X0)|~a_truth(X1)|~a_truth(implies(X1,X0)))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.41 fof(f7,plain,(
% 0.12/0.41 ![X0,X1]: (a_truth(implies(X0,implies(X1,X0))))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.41 fof(f8,plain,(
% 0.12/0.41 ![X0,X1,X2]: (a_truth(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.41 fof(f10,plain,(
% 0.12/0.41 ~a_truth(implies(sk1,sk1))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.41 fof(f11,plain,(
% 0.12/0.41 ![X0,X1]: (a_truth(implies(X0,X1))|~a_truth(X1))),
% 0.12/0.41 inference(resolution,[status(thm)],[f7,f6])).
% 0.12/0.41 fof(f12,plain,(
% 0.12/0.41 ![X0,X1,X2]: (a_truth(implies(X0,implies(X1,implies(X2,X1)))))),
% 0.12/0.41 inference(resolution,[status(thm)],[f11,f7])).
% 0.12/0.41 fof(f15,plain,(
% 0.12/0.41 ![X0,X1,X2]: (a_truth(implies(implies(X0,X1),implies(X0,X2)))|~a_truth(implies(X0,implies(X1,X2))))),
% 0.12/0.41 inference(resolution,[status(thm)],[f8,f6])).
% 0.12/0.41 fof(f22,plain,(
% 0.12/0.41 ![X0,X1]: (a_truth(implies(implies(X0,X1),implies(X0,X0))))),
% 0.12/0.41 inference(resolution,[status(thm)],[f15,f7])).
% 0.12/0.41 fof(f24,plain,(
% 0.12/0.41 ![X0,X1]: (a_truth(implies(X0,X0))|~a_truth(implies(X0,X1)))),
% 0.12/0.41 inference(resolution,[status(thm)],[f22,f6])).
% 0.12/0.41 fof(f29,plain,(
% 0.12/0.41 ![X0]: (a_truth(implies(X0,X0)))),
% 0.12/0.41 inference(resolution,[status(thm)],[f24,f12])).
% 0.12/0.41 fof(f32,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(backward_subsumption_resolution,[status(thm)],[f10,f29])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.44 % Elapsed time: 0.053639 seconds
% 0.12/0.44 % CPU time: 0.149593 seconds
% 0.12/0.44 % Total memory used: 50.187 MB
% 0.12/0.44 % Net memory used: 49.723 MB
%------------------------------------------------------------------------------