%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL051-1 : 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 : n026.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 01:09:16 PM UTC 2026
% Result : Unsatisfiable 31.83s 4.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL051-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 00:04:38 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 31.83/4.59 % Refutation found
% 31.83/4.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 31.83/4.59 % SZS output start CNFRefutation for theBenchmark
% 31.83/4.59 fof(f1,axiom,(
% 31.83/4.59 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 31.83/4.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.83/4.59 fof(f2,axiom,(
% 31.83/4.59 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 31.83/4.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.83/4.59 fof(f3,axiom,(
% 31.83/4.59 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 31.83/4.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.83/4.59 fof(f4,axiom,(
% 31.83/4.59 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 31.83/4.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.83/4.59 fof(f5,negated_conjecture,(
% 31.83/4.59 ~ is_a_theorem(implies(implies(b,c),implies(implies(a,b),implies(a,c)))) ),
% 31.83/4.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.83/4.59 fof(f6,plain,(
% 31.83/4.59 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 31.83/4.59 inference(miniscoping,[status(thm)],[f1])).
% 31.83/4.59 fof(f7,plain,(
% 31.83/4.59 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 31.83/4.59 inference(cnf_transformation,[status(thm)],[f6])).
% 31.83/4.59 fof(f8,plain,(
% 31.83/4.59 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 31.83/4.59 inference(cnf_transformation,[status(thm)],[f2])).
% 31.83/4.59 fof(f9,plain,(
% 31.83/4.59 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 31.83/4.59 inference(cnf_transformation,[status(thm)],[f3])).
% 31.83/4.59 fof(f10,plain,(
% 31.83/4.59 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 31.83/4.59 inference(cnf_transformation,[status(thm)],[f4])).
% 31.83/4.59 fof(f11,plain,(
% 31.83/4.59 ~is_a_theorem(implies(implies(b,c),implies(implies(a,b),implies(a,c))))),
% 31.83/4.59 inference(cnf_transformation,[status(thm)],[f5])).
% 31.83/4.59 fof(f12,plain,(
% 31.83/4.59 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 31.83/4.59 inference(resolution,[status(thm)],[f8,f7])).
% 31.83/4.59 fof(f13,plain,(
% 31.83/4.59 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 31.83/4.59 inference(resolution,[status(thm)],[f12,f8])).
% 31.83/4.59 fof(f15,plain,(
% 31.83/4.59 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 31.83/4.59 inference(resolution,[status(thm)],[f13,f7])).
% 31.83/4.59 fof(f16,plain,(
% 31.83/4.59 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))))),
% 31.83/4.59 inference(resolution,[status(thm)],[f15,f13])).
% 31.83/4.59 fof(f23,plain,(
% 31.83/4.59 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2)))))),
% 31.83/4.59 inference(resolution,[status(thm)],[f16,f7])).
% 31.83/4.59 fof(f32,plain,(
% 31.83/4.59 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X3,X1))|is_a_theorem(implies(X0,implies(X3,X2))))),
% 31.83/4.59 inference(resolution,[status(thm)],[f23,f7])).
% 31.83/4.59 fof(f40,plain,(
% 31.83/4.59 ![X0]: (~is_a_theorem(implies(implies(b,c),implies(X0,implies(a,c))))|~is_a_theorem(implies(implies(a,b),X0)))),
% 31.83/4.59 inference(resolution,[status(thm)],[f32,f11])).
% 31.83/4.59 fof(f76,plain,(
% 31.83/4.59 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 31.83/4.59 inference(resolution,[status(thm)],[f9,f12])).
% 31.83/4.59 fof(f80,plain,(
% 31.83/4.59 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 31.83/4.59 inference(resolution,[status(thm)],[f10,f12])).
% 31.83/4.59 fof(f81,plain,(
% 31.83/4.59 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 31.83/4.59 inference(resolution,[status(thm)],[f10,f7])).
% 31.83/4.59 fof(f86,plain,(
% 31.83/4.59 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 31.83/4.59 inference(resolution,[status(thm)],[f81,f12])).
% 31.83/4.59 fof(f98,plain,(
% 31.83/4.59 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 31.83/4.59 inference(resolution,[status(thm)],[f76,f7])).
% 31.83/4.59 fof(f101,plain,(
% 31.83/4.59 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(not(X0),X3),X1),X2))))),
% 31.83/4.59 inference(resolution,[status(thm)],[f80,f12])).
% 31.83/4.59 fof(f102,plain,(
% 31.83/4.59 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 31.83/4.61 inference(resolution,[status(thm)],[f80,f7])).
% 31.83/4.61 fof(f109,plain,(
% 31.83/4.61 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X1))),
% 31.83/4.61 inference(resolution,[status(thm)],[f98,f7])).
% 31.83/4.61 fof(f118,plain,(
% 31.83/4.61 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 31.83/4.61 inference(resolution,[status(thm)],[f102,f86])).
% 31.83/4.61 fof(f178,plain,(
% 31.83/4.61 ![X0,X1]: (is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)))),
% 31.83/4.61 inference(resolution,[status(thm)],[f81,f9])).
% 31.83/4.61 fof(f250,plain,(
% 31.83/4.61 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 31.83/4.61 inference(resolution,[status(thm)],[f12,f7])).
% 31.83/4.61 fof(f269,plain,(
% 31.83/4.61 ![X0,X1]: (~is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1))|is_a_theorem(X1))),
% 31.83/4.61 inference(resolution,[status(thm)],[f109,f178])).
% 31.83/4.61 fof(f329,plain,(
% 31.83/4.61 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X0,implies(not(X1),X1))))),
% 31.83/4.61 inference(resolution,[status(thm)],[f269,f12])).
% 31.83/4.61 fof(f366,plain,(
% 31.83/4.61 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 31.83/4.61 inference(resolution,[status(thm)],[f329,f12])).
% 31.83/4.61 fof(f374,plain,(
% 31.83/4.61 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 31.83/4.61 inference(resolution,[status(thm)],[f329,f118])).
% 31.83/4.61 fof(f406,plain,(
% 31.83/4.61 ![X0,X1]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(implies(X1,X0)))),
% 31.83/4.61 inference(resolution,[status(thm)],[f374,f329])).
% 31.83/4.61 fof(f425,plain,(
% 31.83/4.61 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 31.83/4.61 inference(resolution,[status(thm)],[f406,f178])).
% 31.83/4.61 fof(f469,plain,(
% 31.83/4.61 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|~is_a_theorem(implies(X2,X3))|is_a_theorem(implies(X0,X3)))),
% 31.83/4.61 inference(resolution,[status(thm)],[f250,f102])).
% 31.83/4.61 fof(f592,plain,(
% 31.83/4.61 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(implies(implies(not(X0),X3),X1),X2)))),
% 31.83/4.61 inference(resolution,[status(thm)],[f101,f7])).
% 31.83/4.61 fof(f739,plain,(
% 31.83/4.61 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 31.83/4.61 inference(resolution,[status(thm)],[f366,f425])).
% 31.83/4.61 fof(f928,plain,(
% 31.83/4.61 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 31.83/4.61 inference(resolution,[status(thm)],[f739,f15])).
% 31.83/4.61 fof(f1265,plain,(
% 31.83/4.61 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 31.83/4.61 inference(resolution,[status(thm)],[f928,f15])).
% 31.83/4.61 fof(f3021,plain,(
% 31.83/4.61 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(X0,X1),X1),X2))|is_a_theorem(implies(X1,X2)))),
% 31.83/4.61 inference(resolution,[status(thm)],[f469,f1265])).
% 31.83/4.61 fof(f9351,plain,(
% 31.83/4.61 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X2,X0),X1)))),
% 31.83/4.61 inference(resolution,[status(thm)],[f3021,f592])).
% 31.83/4.61 fof(f10306,plain,(
% 31.83/4.61 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 31.83/4.61 inference(resolution,[status(thm)],[f9351,f1265])).
% 31.83/4.61 fof(f10387,plain,(
% 31.83/4.61 ~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))),
% 31.83/4.61 inference(resolution,[status(thm)],[f10306,f40])).
% 31.83/4.61 fof(f10422,plain,(
% 31.83/4.61 $false),
% 31.83/4.61 inference(forward_subsumption_resolution,[status(thm)],[f10387,f8])).
% 31.83/4.61 % SZS output end CNFRefutation for theBenchmark.p
% 5.40/4.65 % Elapsed time: 4.268967 seconds
% 5.40/4.65 % CPU time: 33.594736 seconds
% 5.40/4.65 % Total memory used: 356.480 MB
% 5.40/4.65 % Net memory used: 306.110 MB
%------------------------------------------------------------------------------