%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL050-1 : 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 : 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 01:09:15 PM UTC 2026
% Result : Unsatisfiable 4.00s 1.00s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL050-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n020.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 00:03:03 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 4.00/1.00 % Refutation found
% 4.00/1.00 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.00/1.00 % SZS output start CNFRefutation for theBenchmark
% 4.00/1.00 fof(f1,axiom,(
% 4.00/1.00 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 4.00/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.00/1.00 fof(f2,axiom,(
% 4.00/1.00 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 4.00/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.00/1.00 fof(f3,axiom,(
% 4.00/1.00 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 4.00/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.00/1.00 fof(f4,axiom,(
% 4.00/1.00 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 4.00/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.00/1.00 fof(f5,negated_conjecture,(
% 4.00/1.00 ~ is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))) ),
% 4.00/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.00/1.00 fof(f6,plain,(
% 4.00/1.00 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 4.00/1.00 inference(miniscoping,[status(thm)],[f1])).
% 4.00/1.00 fof(f7,plain,(
% 4.00/1.00 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 4.00/1.00 inference(cnf_transformation,[status(thm)],[f6])).
% 4.00/1.00 fof(f8,plain,(
% 4.00/1.00 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 4.00/1.00 inference(cnf_transformation,[status(thm)],[f2])).
% 4.00/1.00 fof(f9,plain,(
% 4.00/1.00 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 4.00/1.00 inference(cnf_transformation,[status(thm)],[f3])).
% 4.00/1.00 fof(f10,plain,(
% 4.00/1.00 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 4.00/1.00 inference(cnf_transformation,[status(thm)],[f4])).
% 4.00/1.00 fof(f11,plain,(
% 4.00/1.00 ~is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c))))),
% 4.00/1.00 inference(cnf_transformation,[status(thm)],[f5])).
% 4.00/1.00 fof(f12,plain,(
% 4.00/1.00 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 4.00/1.00 inference(resolution,[status(thm)],[f8,f7])).
% 4.00/1.00 fof(f13,plain,(
% 4.00/1.00 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 4.00/1.00 inference(resolution,[status(thm)],[f12,f8])).
% 4.00/1.00 fof(f15,plain,(
% 4.00/1.00 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 4.00/1.00 inference(resolution,[status(thm)],[f13,f7])).
% 4.00/1.00 fof(f18,plain,(
% 4.00/1.00 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))))),
% 4.00/1.00 inference(resolution,[status(thm)],[f15,f13])).
% 4.00/1.00 fof(f23,plain,(
% 4.00/1.00 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2)))))),
% 4.00/1.00 inference(resolution,[status(thm)],[f18,f7])).
% 4.00/1.00 fof(f31,plain,(
% 4.00/1.00 ~is_a_theorem(implies(b,implies(implies(b,c),c)))),
% 4.00/1.00 inference(resolution,[status(thm)],[f23,f11])).
% 4.00/1.00 fof(f52,plain,(
% 4.00/1.00 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 4.00/1.00 inference(resolution,[status(thm)],[f9,f12])).
% 4.00/1.00 fof(f56,plain,(
% 4.00/1.00 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 4.00/1.00 inference(resolution,[status(thm)],[f10,f12])).
% 4.00/1.00 fof(f71,plain,(
% 4.00/1.00 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 4.00/1.00 inference(resolution,[status(thm)],[f52,f7])).
% 4.00/1.00 fof(f72,plain,(
% 4.00/1.00 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))))),
% 4.00/1.00 inference(resolution,[status(thm)],[f56,f15])).
% 4.00/1.00 fof(f74,plain,(
% 4.00/1.00 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 4.00/1.00 inference(resolution,[status(thm)],[f56,f7])).
% 4.00/1.00 fof(f79,plain,(
% 4.00/1.00 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X1))),
% 4.00/1.00 inference(resolution,[status(thm)],[f71,f7])).
% 4.00/1.00 fof(f84,plain,(
% 4.00/1.00 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))))),
% 4.00/1.00 inference(resolution,[status(thm)],[f74,f72])).
% 4.00/1.00 fof(f102,plain,(
% 4.00/1.00 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(not(X0),X2))))),
% 4.00/1.00 inference(resolution,[status(thm)],[f84,f7])).
% 4.00/1.00 fof(f232,plain,(
% 4.00/1.00 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 2.64/1.01 inference(resolution,[status(thm)],[f12,f7])).
% 2.64/1.01 fof(f278,plain,(
% 2.64/1.01 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 2.64/1.01 inference(resolution,[status(thm)],[f232,f56])).
% 2.64/1.01 fof(f279,plain,(
% 2.64/1.01 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X2))|~is_a_theorem(implies(X1,X2)))),
% 2.64/1.01 inference(resolution,[status(thm)],[f232,f71])).
% 2.64/1.01 fof(f280,plain,(
% 2.64/1.01 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 2.64/1.01 inference(resolution,[status(thm)],[f232,f9])).
% 2.64/1.01 fof(f297,plain,(
% 2.64/1.01 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 2.64/1.01 inference(resolution,[status(thm)],[f280,f12])).
% 2.64/1.01 fof(f299,plain,(
% 2.64/1.01 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 2.64/1.01 inference(resolution,[status(thm)],[f280,f102])).
% 2.64/1.01 fof(f339,plain,(
% 2.64/1.01 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 2.64/1.01 inference(resolution,[status(thm)],[f299,f9])).
% 2.64/1.01 fof(f347,plain,(
% 2.64/1.01 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))))),
% 2.64/1.01 inference(resolution,[status(thm)],[f299,f10])).
% 2.64/1.01 fof(f764,plain,(
% 2.64/1.01 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 2.64/1.01 inference(resolution,[status(thm)],[f297,f339])).
% 2.64/1.01 fof(f771,plain,(
% 2.64/1.01 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,implies(not(X0),X1)),X2),X2)))),
% 2.64/1.01 inference(resolution,[status(thm)],[f297,f347])).
% 2.64/1.01 fof(f1451,plain,(
% 2.64/1.01 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 2.64/1.01 inference(resolution,[status(thm)],[f764,f15])).
% 2.64/1.01 fof(f1794,plain,(
% 2.64/1.01 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(X0,implies(not(X1),X2)))))),
% 2.64/1.01 inference(resolution,[status(thm)],[f771,f15])).
% 2.64/1.01 fof(f2564,plain,(
% 2.64/1.01 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 2.64/1.01 inference(resolution,[status(thm)],[f1451,f15])).
% 2.64/1.01 fof(f3964,plain,(
% 2.64/1.01 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 2.64/1.01 inference(resolution,[status(thm)],[f2564,f74])).
% 2.64/1.01 fof(f4066,plain,(
% 2.64/1.01 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 2.64/1.01 inference(resolution,[status(thm)],[f3964,f278])).
% 2.64/1.01 fof(f4102,plain,(
% 2.64/1.01 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 2.64/1.01 inference(resolution,[status(thm)],[f4066,f299])).
% 2.64/1.01 fof(f4239,plain,(
% 2.64/1.01 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 2.64/1.01 inference(resolution,[status(thm)],[f4102,f79])).
% 2.64/1.01 fof(f5134,plain,(
% 2.64/1.01 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X0)),X2))))),
% 2.64/1.01 inference(resolution,[status(thm)],[f4239,f1794])).
% 2.64/1.01 fof(f5220,plain,(
% 2.64/1.01 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X2,X0),X1)))),
% 2.64/1.01 inference(resolution,[status(thm)],[f5134,f279])).
% 2.64/1.01 fof(f5486,plain,(
% 2.64/1.01 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 2.64/1.01 inference(resolution,[status(thm)],[f5220,f2564])).
% 2.64/1.01 fof(f5562,plain,(
% 2.64/1.01 $false),
% 2.64/1.01 inference(backward_subsumption_resolution,[status(thm)],[f31,f5486])).
% 2.64/1.01 % SZS output end CNFRefutation for theBenchmark.p
% 2.64/1.03 % Elapsed time: 0.657030 seconds
% 2.64/1.03 % CPU time: 4.890114 seconds
% 2.64/1.03 % Total memory used: 131.870 MB
% 2.64/1.03 % Net memory used: 119.779 MB
%------------------------------------------------------------------------------