%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL082-1 : 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 : n004.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 01:09:19 PM UTC 2026
% Result : Unsatisfiable 0.13s 15.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL082-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/15.38 % Computer : n004.cluster.edu
% 0.09/15.38 % Model : x86_64 x86_64
% 0.09/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.38 % Memory : 8046.5625MB
% 0.09/15.38 % OS : Linux 6.8.0-71-generic
% 0.09/15.38 % CPULimit : 300
% 0.09/15.38 % WCLimit : 300
% 0.09/15.38 % DateTime : Mon Sep 21 00:04:22 UTC 2026
% 0.09/15.38 % CPUTime :
% 0.09/15.39 % Drodi V4.1.1
% 0.13/15.41 % Refutation found
% 0.13/15.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/15.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/15.41 fof(f1,axiom,(
% 0.13/15.41 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.13/15.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/15.41 fof(f2,axiom,(
% 0.13/15.41 (![X,Y,Z,U]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))) ))),
% 0.13/15.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/15.41 fof(f3,negated_conjecture,(
% 0.13/15.41 ~ is_a_theorem(implies(a,implies(b,a))) ),
% 0.13/15.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/15.41 fof(f4,plain,(
% 0.13/15.41 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.13/15.41 inference(miniscoping,[status(thm)],[f1])).
% 0.13/15.41 fof(f5,plain,(
% 0.13/15.41 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.13/15.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/15.41 fof(f6,plain,(
% 0.13/15.41 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))))),
% 0.13/15.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/15.41 fof(f7,plain,(
% 0.13/15.41 ~is_a_theorem(implies(a,implies(b,a)))),
% 0.13/15.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/15.41 fof(f8,plain,(
% 0.13/15.41 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(implies(X2,X0),implies(X3,X0))))),
% 0.13/15.41 inference(resolution,[status(thm)],[f6,f5])).
% 0.13/15.41 fof(f9,plain,(
% 0.13/15.41 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))))),
% 0.13/15.41 inference(resolution,[status(thm)],[f8,f6])).
% 0.13/15.41 fof(f10,plain,(
% 0.13/15.41 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1))))))),
% 0.13/15.41 inference(resolution,[status(thm)],[f9,f8])).
% 0.13/15.41 fof(f11,plain,(
% 0.13/15.41 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))|is_a_theorem(implies(X4,implies(X1,X3))))),
% 0.13/15.41 inference(resolution,[status(thm)],[f9,f5])).
% 0.13/15.41 fof(f13,plain,(
% 0.13/15.41 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X4,X1))))|is_a_theorem(implies(X5,implies(implies(X3,X1),implies(X4,X1)))))),
% 0.13/15.41 inference(resolution,[status(thm)],[f10,f5])).
% 0.13/15.41 fof(f18,plain,(
% 0.13/15.41 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,X2)))))),
% 0.13/15.41 inference(resolution,[status(thm)],[f13,f9])).
% 0.13/15.41 fof(f21,plain,(
% 0.13/15.41 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))))),
% 0.13/15.41 inference(resolution,[status(thm)],[f13,f6])).
% 0.13/15.41 fof(f25,plain,(
% 0.13/15.41 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(X2,X2))))),
% 0.13/15.41 inference(resolution,[status(thm)],[f18,f5])).
% 0.13/15.41 fof(f26,plain,(
% 0.13/15.41 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(X1,X1))))),
% 0.13/15.41 inference(resolution,[status(thm)],[f25,f9])).
% 0.13/15.41 fof(f32,plain,(
% 0.13/15.41 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 0.13/15.41 inference(resolution,[status(thm)],[f26,f8])).
% 0.13/15.41 fof(f51,plain,(
% 0.13/15.41 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X0),implies(X2,X0)),X3),implies(X4,X3))))),
% 0.13/15.41 inference(resolution,[status(thm)],[f21,f8])).
% 0.13/15.41 fof(f187,plain,(
% 0.13/15.41 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 0.13/15.41 inference(resolution,[status(thm)],[f32,f11])).
% 0.13/15.41 fof(f207,plain,(
% 0.13/15.41 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1))))),
% 0.13/15.41 inference(resolution,[status(thm)],[f187,f5])).
% 0.13/15.41 fof(f209,plain,(
% 0.13/15.41 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.13/15.41 inference(resolution,[status(thm)],[f207,f51])).
% 0.13/15.41 fof(f228,plain,(
% 0.13/15.41 $false),
% 0.13/15.41 inference(backward_subsumption_resolution,[status(thm)],[f7,f209])).
% 0.13/15.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/15.43 % Elapsed time: 0.042191 seconds
% 0.13/15.43 % CPU time: 0.137167 seconds
% 0.13/15.43 % Total memory used: 40.705 MB
% 0.13/15.43 % Net memory used: 40.230 MB
%------------------------------------------------------------------------------