%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL072-1 : 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 : n011.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 01:09:18 PM UTC 2026
% Result : Unsatisfiable 6.63s 1.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL072-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n011.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 00:03:25 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 6.63/1.40 % Refutation found
% 6.63/1.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.63/1.40 % SZS output start CNFRefutation for theBenchmark
% 6.63/1.40 fof(f1,axiom,(
% 6.63/1.40 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 6.63/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.63/1.40 fof(f2,axiom,(
% 6.63/1.40 (![X,Y,Z]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))) ))),
% 6.63/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.63/1.40 fof(f3,axiom,(
% 6.63/1.40 (![X,Y,Z]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))) ))),
% 6.63/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.63/1.40 fof(f4,axiom,(
% 6.63/1.40 (![X,Y,Z,U]: (is_a_theorem(implies(implies(X,implies(not(Y),Z)),implies(X,implies(implies(U,Z),implies(implies(Y,U),Z))))) ))),
% 6.63/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.63/1.40 fof(f5,negated_conjecture,(
% 6.63/1.40 ~ is_a_theorem(implies(a,implies(not(a),b))) ),
% 6.63/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.63/1.40 fof(f6,plain,(
% 6.63/1.40 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 6.63/1.40 inference(miniscoping,[status(thm)],[f1])).
% 6.63/1.40 fof(f7,plain,(
% 6.63/1.40 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 6.63/1.40 inference(cnf_transformation,[status(thm)],[f6])).
% 6.63/1.40 fof(f8,plain,(
% 6.63/1.40 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 6.63/1.40 inference(cnf_transformation,[status(thm)],[f2])).
% 6.63/1.40 fof(f9,plain,(
% 6.63/1.40 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))))),
% 6.63/1.40 inference(cnf_transformation,[status(thm)],[f3])).
% 6.63/1.40 fof(f10,plain,(
% 6.63/1.40 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))))),
% 6.63/1.40 inference(cnf_transformation,[status(thm)],[f4])).
% 6.63/1.40 fof(f11,plain,(
% 6.63/1.40 ~is_a_theorem(implies(a,implies(not(a),b)))),
% 6.63/1.40 inference(cnf_transformation,[status(thm)],[f5])).
% 6.63/1.40 fof(f12,plain,(
% 6.63/1.40 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 6.63/1.40 inference(resolution,[status(thm)],[f8,f7])).
% 6.63/1.40 fof(f13,plain,(
% 6.63/1.40 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 6.63/1.40 inference(resolution,[status(thm)],[f12,f8])).
% 6.63/1.40 fof(f17,plain,(
% 6.63/1.40 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(not(X0),X2)))),
% 6.63/1.40 inference(resolution,[status(thm)],[f9,f7])).
% 6.63/1.40 fof(f19,plain,(
% 6.63/1.40 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(not(X1),X2)))|is_a_theorem(implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2)))))),
% 6.63/1.40 inference(resolution,[status(thm)],[f10,f7])).
% 6.63/1.40 fof(f23,plain,(
% 6.63/1.40 ![X0,X1,X2]: (is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))))),
% 6.63/1.40 inference(resolution,[status(thm)],[f17,f13])).
% 6.63/1.40 fof(f24,plain,(
% 6.63/1.40 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X3,X2),implies(implies(X0,X3),X2)))))),
% 6.63/1.40 inference(resolution,[status(thm)],[f19,f9])).
% 6.63/1.40 fof(f58,plain,(
% 6.63/1.40 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(implies(X3,X2),implies(implies(X0,X3),X2))))),
% 6.63/1.40 inference(resolution,[status(thm)],[f24,f7])).
% 6.63/1.40 fof(f147,plain,(
% 6.63/1.40 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X3,X1),X0),implies(X1,X2)))))),
% 6.63/1.40 inference(resolution,[status(thm)],[f58,f8])).
% 6.63/1.40 fof(f154,plain,(
% 6.63/1.40 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X3))),implies(implies(X2,X0),implies(X1,implies(X2,X3))))))),
% 6.63/1.40 inference(resolution,[status(thm)],[f58,f13])).
% 6.63/1.40 fof(f766,plain,(
% 6.63/1.40 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(implies(X3,X1),X0),implies(X1,X2))))),
% 6.63/1.40 inference(resolution,[status(thm)],[f147,f7])).
% 6.63/1.40 fof(f797,plain,(
% 6.63/1.40 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))|is_a_theorem(implies(implies(X2,X0),implies(X1,implies(X2,X3)))))),
% 6.63/1.40 inference(resolution,[status(thm)],[f154,f7])).
% 6.63/1.40 fof(f1656,plain,(
% 6.63/1.40 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),not(X2)),implies(X1,implies(X2,X3)))))),
% 6.63/1.40 inference(resolution,[status(thm)],[f766,f23])).
% 6.63/1.40 fof(f1663,plain,(
% 6.63/1.40 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X2,X1),X3)),implies(X1,X3))))),
% 6.63/1.42 inference(resolution,[status(thm)],[f766,f8])).
% 6.63/1.42 fof(f2117,plain,(
% 6.63/1.42 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),X3)))|is_a_theorem(implies(X1,X3)))),
% 6.63/1.42 inference(resolution,[status(thm)],[f1663,f7])).
% 6.63/1.42 fof(f2338,plain,(
% 6.63/1.42 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 6.63/1.42 inference(resolution,[status(thm)],[f2117,f1656])).
% 6.63/1.42 fof(f2343,plain,(
% 6.63/1.42 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 6.63/1.42 inference(resolution,[status(thm)],[f2117,f8])).
% 6.63/1.42 fof(f6314,plain,(
% 6.63/1.42 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))))),
% 6.63/1.42 inference(resolution,[status(thm)],[f797,f2338])).
% 6.63/1.42 fof(f6694,plain,(
% 6.63/1.42 ![X0,X1,X2]: (~is_a_theorem(implies(X0,not(X1)))|is_a_theorem(implies(X1,implies(X0,X2))))),
% 6.63/1.42 inference(resolution,[status(thm)],[f6314,f7])).
% 6.63/1.42 fof(f6700,plain,(
% 6.63/1.42 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 6.63/1.42 inference(resolution,[status(thm)],[f6694,f2343])).
% 6.63/1.42 fof(f6702,plain,(
% 6.63/1.42 $false),
% 6.63/1.42 inference(backward_subsumption_resolution,[status(thm)],[f11,f6700])).
% 6.63/1.42 % SZS output end CNFRefutation for theBenchmark.p
% 1.37/1.44 % Elapsed time: 0.989316 seconds
% 1.37/1.44 % CPU time: 7.364939 seconds
% 1.37/1.44 % Total memory used: 112.344 MB
% 1.37/1.44 % Net memory used: 103.369 MB
%------------------------------------------------------------------------------