%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL064-2 : 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 01:09:17 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL064-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n020.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % 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 00:03:49 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.15/0.39 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.41 fof(f1,axiom,(
% 0.15/0.41 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f2,axiom,(
% 0.15/0.41 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f3,axiom,(
% 0.15/0.41 (![X,Y,Z]: (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f4,negated_conjecture,(
% 0.15/0.41 ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f5,plain,(
% 0.15/0.41 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f1])).
% 0.15/0.41 fof(f6,plain,(
% 0.15/0.41 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.41 fof(f7,plain,(
% 0.15/0.41 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.41 fof(f8,plain,(
% 0.15/0.41 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.41 fof(f9,plain,(
% 0.15/0.41 ~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.41 fof(f10,plain,(
% 0.15/0.41 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 0.15/0.41 inference(resolution,[status(thm)],[f7,f6])).
% 0.15/0.41 fof(f21,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X0,X1),implies(X0,X2))))),
% 0.15/0.41 inference(resolution,[status(thm)],[f8,f6])).
% 0.15/0.41 fof(f22,plain,(
% 0.15/0.41 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))))),
% 0.15/0.41 inference(resolution,[status(thm)],[f8,f10])).
% 0.15/0.41 fof(f23,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,X2)))),
% 0.15/0.41 inference(resolution,[status(thm)],[f21,f6])).
% 0.15/0.41 fof(f24,plain,(
% 0.15/0.41 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X3,implies(implies(X0,X1),implies(X0,X2)))))),
% 0.15/0.41 inference(resolution,[status(thm)],[f21,f10])).
% 0.15/0.41 fof(f35,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X0),X2)))|is_a_theorem(implies(X0,X2)))),
% 0.15/0.41 inference(resolution,[status(thm)],[f23,f7])).
% 0.15/0.41 fof(f74,plain,(
% 0.15/0.41 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 0.15/0.41 inference(resolution,[status(thm)],[f35,f22])).
% 0.15/0.41 fof(f75,plain,(
% 0.15/0.41 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X1,implies(X0,X2))))),
% 0.15/0.41 inference(resolution,[status(thm)],[f35,f24])).
% 0.15/0.41 fof(f259,plain,(
% 0.15/0.41 ~is_a_theorem(implies(implies(b,c),implies(implies(a,b),implies(a,c))))),
% 0.15/0.41 inference(resolution,[status(thm)],[f75,f9])).
% 0.15/0.41 fof(f272,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f259,f74])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.43 % Elapsed time: 0.050481 seconds
% 0.15/0.43 % CPU time: 0.182513 seconds
% 0.15/0.43 % Total memory used: 56.959 MB
% 0.15/0.43 % Net memory used: 56.387 MB
%------------------------------------------------------------------------------