%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL066-1 : 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 : n015.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 0.18s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL066-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n015.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 00:06:20 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 0.18/0.49 % Refutation found
% 0.18/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.49 fof(f1,axiom,(
% 0.18/0.49 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f2,axiom,(
% 0.18/0.49 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f3,axiom,(
% 0.18/0.49 (![X,Y,Z]: (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) ))),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f4,axiom,(
% 0.18/0.49 (![X,Y]: (is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) ))),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f5,negated_conjecture,(
% 0.18/0.49 ~ is_a_theorem(implies(a,implies(not(a),b))) ),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f6,plain,(
% 0.18/0.49 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.18/0.49 inference(miniscoping,[status(thm)],[f1])).
% 0.18/0.49 fof(f7,plain,(
% 0.18/0.49 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f6])).
% 0.18/0.49 fof(f8,plain,(
% 0.18/0.49 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f2])).
% 0.18/0.49 fof(f9,plain,(
% 0.18/0.49 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f3])).
% 0.18/0.49 fof(f10,plain,(
% 0.18/0.49 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f4])).
% 0.18/0.49 fof(f11,plain,(
% 0.18/0.49 ~is_a_theorem(implies(a,implies(not(a),b)))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f5])).
% 0.18/0.49 fof(f12,plain,(
% 0.18/0.49 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 0.18/0.49 inference(resolution,[status(thm)],[f7,f8])).
% 0.18/0.49 fof(f14,plain,(
% 0.18/0.49 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X0,X1),implies(X0,X2))))),
% 0.18/0.49 inference(resolution,[status(thm)],[f9,f7])).
% 0.18/0.49 fof(f21,plain,(
% 0.18/0.49 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(not(X1),not(X2)),implies(X2,X1)))))),
% 0.18/0.49 inference(resolution,[status(thm)],[f10,f12])).
% 0.18/0.49 fof(f26,plain,(
% 0.18/0.49 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,X2)))),
% 0.18/0.49 inference(resolution,[status(thm)],[f14,f7])).
% 0.18/0.49 fof(f27,plain,(
% 0.18/0.49 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X3,implies(implies(X0,X1),implies(X0,X2)))))),
% 0.18/0.49 inference(resolution,[status(thm)],[f14,f12])).
% 0.18/0.49 fof(f41,plain,(
% 0.18/0.49 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X0),X2)))|is_a_theorem(implies(X0,X2)))),
% 0.18/0.49 inference(resolution,[status(thm)],[f26,f8])).
% 0.18/0.49 fof(f42,plain,(
% 0.18/0.49 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 0.18/0.49 inference(resolution,[status(thm)],[f41,f21])).
% 0.18/0.49 fof(f93,plain,(
% 0.18/0.49 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X1,implies(X0,X2))))),
% 0.18/0.49 inference(resolution,[status(thm)],[f27,f41])).
% 0.18/0.49 fof(f304,plain,(
% 0.18/0.49 ~is_a_theorem(implies(not(a),implies(a,b)))),
% 0.18/0.49 inference(resolution,[status(thm)],[f93,f11])).
% 0.18/0.49 fof(f311,plain,(
% 0.18/0.49 $false),
% 0.18/0.49 inference(forward_subsumption_resolution,[status(thm)],[f304,f42])).
% 0.18/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.53 % Elapsed time: 0.077639 seconds
% 0.25/0.53 % CPU time: 0.276835 seconds
% 0.25/0.53 % Total memory used: 58.184 MB
% 0.25/0.53 % Net memory used: 57.580 MB
%------------------------------------------------------------------------------