%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL047-1 : 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 : n005.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 3.95s 1.10s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL047-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 00:01:33 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 3.95/1.10 % Refutation found
% 3.95/1.10 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.95/1.10 % SZS output start CNFRefutation for theBenchmark
% 3.95/1.10 fof(f1,axiom,(
% 3.95/1.10 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 3.95/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.95/1.10 fof(f2,axiom,(
% 3.95/1.10 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 3.95/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.95/1.10 fof(f3,axiom,(
% 3.95/1.10 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 3.95/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.95/1.10 fof(f4,axiom,(
% 3.95/1.10 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 3.95/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.95/1.10 fof(f5,negated_conjecture,(
% 3.95/1.10 ~ is_a_theorem(implies(a,implies(b,a))) ),
% 3.95/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.95/1.10 fof(f6,plain,(
% 3.95/1.10 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 3.95/1.10 inference(miniscoping,[status(thm)],[f1])).
% 3.95/1.10 fof(f7,plain,(
% 3.95/1.10 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 3.95/1.10 inference(cnf_transformation,[status(thm)],[f6])).
% 3.95/1.10 fof(f8,plain,(
% 3.95/1.10 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 3.95/1.10 inference(cnf_transformation,[status(thm)],[f2])).
% 3.95/1.10 fof(f9,plain,(
% 3.95/1.10 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 3.95/1.10 inference(cnf_transformation,[status(thm)],[f3])).
% 3.95/1.10 fof(f10,plain,(
% 3.95/1.10 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 3.95/1.10 inference(cnf_transformation,[status(thm)],[f4])).
% 3.95/1.10 fof(f11,plain,(
% 3.95/1.10 ~is_a_theorem(implies(a,implies(b,a)))),
% 3.95/1.10 inference(cnf_transformation,[status(thm)],[f5])).
% 3.95/1.10 fof(f12,plain,(
% 3.95/1.10 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 3.95/1.10 inference(resolution,[status(thm)],[f8,f7])).
% 3.95/1.10 fof(f13,plain,(
% 3.95/1.10 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 3.95/1.10 inference(resolution,[status(thm)],[f12,f8])).
% 3.95/1.10 fof(f15,plain,(
% 3.95/1.10 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 3.95/1.10 inference(resolution,[status(thm)],[f13,f7])).
% 3.95/1.10 fof(f18,plain,(
% 3.95/1.10 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))))),
% 3.95/1.10 inference(resolution,[status(thm)],[f15,f13])).
% 3.95/1.10 fof(f23,plain,(
% 3.95/1.10 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2)))))),
% 3.95/1.10 inference(resolution,[status(thm)],[f18,f7])).
% 3.95/1.10 fof(f32,plain,(
% 3.95/1.10 ![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))))),
% 3.95/1.10 inference(resolution,[status(thm)],[f23,f7])).
% 3.95/1.10 fof(f40,plain,(
% 3.95/1.10 ![X0]: (~is_a_theorem(implies(a,implies(X0,a)))|~is_a_theorem(implies(b,X0)))),
% 3.95/1.10 inference(resolution,[status(thm)],[f32,f11])).
% 3.95/1.10 fof(f50,plain,(
% 3.95/1.10 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 3.95/1.10 inference(resolution,[status(thm)],[f9,f12])).
% 3.95/1.10 fof(f54,plain,(
% 3.95/1.10 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 3.95/1.10 inference(resolution,[status(thm)],[f10,f12])).
% 3.95/1.10 fof(f55,plain,(
% 3.95/1.10 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 3.95/1.10 inference(resolution,[status(thm)],[f10,f7])).
% 3.95/1.10 fof(f58,plain,(
% 3.95/1.10 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 3.95/1.10 inference(resolution,[status(thm)],[f55,f12])).
% 3.95/1.10 fof(f68,plain,(
% 3.95/1.10 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))))),
% 3.95/1.10 inference(resolution,[status(thm)],[f50,f12])).
% 3.95/1.10 fof(f69,plain,(
% 3.95/1.10 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 3.95/1.10 inference(resolution,[status(thm)],[f50,f7])).
% 3.95/1.10 fof(f73,plain,(
% 3.95/1.10 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 3.95/1.10 inference(resolution,[status(thm)],[f54,f7])).
% 3.95/1.10 fof(f78,plain,(
% 3.95/1.11 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X1))),
% 3.95/1.11 inference(resolution,[status(thm)],[f69,f7])).
% 3.95/1.11 fof(f82,plain,(
% 3.95/1.11 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 3.95/1.11 inference(resolution,[status(thm)],[f73,f9])).
% 3.95/1.11 fof(f85,plain,(
% 3.95/1.11 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 3.95/1.11 inference(resolution,[status(thm)],[f73,f58])).
% 3.95/1.11 fof(f92,plain,(
% 3.95/1.11 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))))),
% 3.95/1.11 inference(resolution,[status(thm)],[f73,f10])).
% 3.95/1.11 fof(f117,plain,(
% 3.95/1.11 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))))),
% 3.95/1.11 inference(resolution,[status(thm)],[f68,f15])).
% 3.95/1.11 fof(f133,plain,(
% 3.95/1.11 ![X0,X1]: (~is_a_theorem(implies(a,implies(implies(not(implies(not(b),X0)),X1),a))))),
% 3.95/1.11 inference(resolution,[status(thm)],[f92,f40])).
% 3.95/1.11 fof(f193,plain,(
% 3.95/1.11 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 3.95/1.11 inference(resolution,[status(thm)],[f12,f7])).
% 3.95/1.11 fof(f302,plain,(
% 3.95/1.11 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 3.95/1.11 inference(resolution,[status(thm)],[f193,f9])).
% 3.95/1.11 fof(f322,plain,(
% 3.95/1.11 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 3.95/1.11 inference(resolution,[status(thm)],[f302,f85])).
% 3.95/1.11 fof(f340,plain,(
% 3.95/1.11 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1))))),
% 3.95/1.11 inference(resolution,[status(thm)],[f322,f82])).
% 3.95/1.11 fof(f348,plain,(
% 3.95/1.11 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))))),
% 3.95/1.11 inference(resolution,[status(thm)],[f340,f322])).
% 3.95/1.11 fof(f385,plain,(
% 3.95/1.11 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))|is_a_theorem(X2))),
% 3.95/1.11 inference(resolution,[status(thm)],[f348,f78])).
% 3.95/1.11 fof(f480,plain,(
% 3.95/1.11 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 3.95/1.11 inference(resolution,[status(thm)],[f385,f8])).
% 3.95/1.11 fof(f531,plain,(
% 3.95/1.11 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1)))),
% 3.95/1.11 inference(resolution,[status(thm)],[f480,f302])).
% 3.95/1.11 fof(f541,plain,(
% 3.95/1.11 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))|is_a_theorem(implies(X0,X2)))),
% 3.95/1.11 inference(resolution,[status(thm)],[f531,f193])).
% 3.95/1.11 fof(f2272,plain,(
% 3.95/1.11 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 3.95/1.11 inference(resolution,[status(thm)],[f541,f117])).
% 3.95/1.11 fof(f2831,plain,(
% 3.95/1.11 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 3.95/1.11 inference(resolution,[status(thm)],[f2272,f15])).
% 3.95/1.11 fof(f3779,plain,(
% 3.95/1.11 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 3.95/1.11 inference(resolution,[status(thm)],[f2831,f73])).
% 3.95/1.11 fof(f3806,plain,(
% 3.95/1.11 $false),
% 3.95/1.11 inference(resolution,[status(thm)],[f3779,f133])).
% 3.95/1.11 % SZS output end CNFRefutation for theBenchmark.p
% 3.95/1.14 % Elapsed time: 0.766332 seconds
% 3.95/1.14 % CPU time: 5.745191 seconds
% 3.95/1.14 % Total memory used: 113.247 MB
% 3.95/1.14 % Net memory used: 103.377 MB
%------------------------------------------------------------------------------