%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL056-1 : 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 : n019.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 13.77s 2.15s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL056-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n019.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 00:02:51 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 13.77/2.15 % Refutation found
% 13.77/2.15 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 13.77/2.15 % SZS output start CNFRefutation for theBenchmark
% 13.77/2.15 fof(f1,axiom,(
% 13.77/2.15 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 13.77/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.77/2.15 fof(f2,axiom,(
% 13.77/2.15 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 13.77/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.77/2.15 fof(f3,axiom,(
% 13.77/2.15 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 13.77/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.77/2.15 fof(f4,axiom,(
% 13.77/2.15 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 13.77/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.77/2.15 fof(f5,negated_conjecture,(
% 13.77/2.15 ~ is_a_theorem(implies(not(not(a)),a)) ),
% 13.77/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.77/2.15 fof(f6,plain,(
% 13.77/2.15 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 13.77/2.15 inference(miniscoping,[status(thm)],[f1])).
% 13.77/2.15 fof(f7,plain,(
% 13.77/2.15 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 13.77/2.15 inference(cnf_transformation,[status(thm)],[f6])).
% 13.77/2.15 fof(f8,plain,(
% 13.77/2.15 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 13.77/2.15 inference(cnf_transformation,[status(thm)],[f2])).
% 13.77/2.15 fof(f9,plain,(
% 13.77/2.15 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 13.77/2.15 inference(cnf_transformation,[status(thm)],[f3])).
% 13.77/2.15 fof(f10,plain,(
% 13.77/2.15 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 13.77/2.15 inference(cnf_transformation,[status(thm)],[f4])).
% 13.77/2.15 fof(f11,plain,(
% 13.77/2.15 ~is_a_theorem(implies(not(not(a)),a))),
% 13.77/2.15 inference(cnf_transformation,[status(thm)],[f5])).
% 13.77/2.15 fof(f12,plain,(
% 13.77/2.15 ![X0]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X0))),
% 13.77/2.15 inference(resolution,[status(thm)],[f7,f9])).
% 13.77/2.15 fof(f13,plain,(
% 13.77/2.15 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 13.77/2.15 inference(resolution,[status(thm)],[f7,f10])).
% 13.77/2.15 fof(f14,plain,(
% 13.77/2.15 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 13.77/2.15 inference(resolution,[status(thm)],[f8,f7])).
% 13.77/2.15 fof(f25,plain,(
% 13.77/2.15 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 13.77/2.15 inference(resolution,[status(thm)],[f14,f7])).
% 13.77/2.15 fof(f27,plain,(
% 13.77/2.15 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X1,X0))|is_a_theorem(X0))),
% 13.77/2.15 inference(resolution,[status(thm)],[f25,f12])).
% 13.77/2.15 fof(f28,plain,(
% 13.77/2.15 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X0)|is_a_theorem(X2))),
% 13.77/2.15 inference(resolution,[status(thm)],[f25,f7])).
% 13.77/2.15 fof(f48,plain,(
% 13.77/2.15 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(implies(not(X1),X2)))),
% 13.77/2.15 inference(resolution,[status(thm)],[f28,f10])).
% 13.77/2.15 fof(f68,plain,(
% 13.77/2.15 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 13.77/2.15 inference(resolution,[status(thm)],[f14,f9])).
% 13.77/2.15 fof(f69,plain,(
% 13.77/2.15 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 13.77/2.15 inference(resolution,[status(thm)],[f14,f8])).
% 13.77/2.15 fof(f70,plain,(
% 13.77/2.15 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 13.77/2.15 inference(resolution,[status(thm)],[f14,f10])).
% 13.77/2.15 fof(f104,plain,(
% 13.77/2.15 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(not(implies(not(X0),X1)),X2)))),
% 13.77/2.15 inference(resolution,[status(thm)],[f48,f10])).
% 13.77/2.15 fof(f114,plain,(
% 13.77/2.15 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 13.77/2.15 inference(resolution,[status(thm)],[f25,f9])).
% 13.77/2.15 fof(f128,plain,(
% 13.77/2.15 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 13.77/2.15 inference(resolution,[status(thm)],[f68,f7])).
% 13.77/2.15 fof(f132,plain,(
% 13.77/2.15 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 13.77/2.15 inference(resolution,[status(thm)],[f70,f25])).
% 13.77/2.15 fof(f135,plain,(
% 13.77/2.15 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 13.77/2.15 inference(resolution,[status(thm)],[f70,f7])).
% 13.77/2.15 fof(f161,plain,(
% 13.77/2.15 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 13.77/2.15 inference(resolution,[status(thm)],[f114,f10])).
% 13.77/2.15 fof(f171,plain,(
% 13.77/2.15 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,X0)),X1)))),
% 13.77/2.15 inference(resolution,[status(thm)],[f161,f13])).
% 13.77/2.15 fof(f180,plain,(
% 13.77/2.15 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X2)),X1))))),
% 13.77/2.15 inference(resolution,[status(thm)],[f171,f14])).
% 13.77/2.15 fof(f194,plain,(
% 13.77/2.15 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 13.77/2.15 inference(resolution,[status(thm)],[f69,f7])).
% 13.77/2.15 fof(f314,plain,(
% 13.77/2.15 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X1))),
% 13.77/2.15 inference(resolution,[status(thm)],[f128,f7])).
% 13.77/2.15 fof(f335,plain,(
% 13.77/2.15 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))))),
% 13.77/2.15 inference(resolution,[status(thm)],[f180,f135])).
% 13.77/2.15 fof(f364,plain,(
% 13.77/2.15 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1))))),
% 13.77/2.15 inference(resolution,[status(thm)],[f335,f114])).
% 13.77/2.15 fof(f412,plain,(
% 13.77/2.15 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(X0,implies(X1,X1))),X2)))),
% 13.77/2.15 inference(resolution,[status(thm)],[f13,f364])).
% 13.77/2.15 fof(f524,plain,(
% 13.77/2.15 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))|is_a_theorem(X2))),
% 13.77/2.15 inference(resolution,[status(thm)],[f314,f412])).
% 13.77/2.15 fof(f548,plain,(
% 13.77/2.15 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 13.77/2.15 inference(resolution,[status(thm)],[f524,f8])).
% 13.77/2.15 fof(f558,plain,(
% 13.77/2.15 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(X2,X1)))),
% 13.77/2.15 inference(resolution,[status(thm)],[f548,f7])).
% 13.77/2.15 fof(f563,plain,(
% 13.77/2.15 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 13.77/2.15 inference(resolution,[status(thm)],[f558,f68])).
% 13.77/2.15 fof(f565,plain,(
% 13.77/2.15 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X1,X2)))),
% 13.77/2.15 inference(resolution,[status(thm)],[f558,f14])).
% 13.77/2.15 fof(f988,plain,(
% 13.77/2.15 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 13.77/2.15 inference(resolution,[status(thm)],[f114,f14])).
% 13.77/2.15 fof(f1004,plain,(
% 13.77/2.15 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X1),X1)))),
% 13.77/2.15 inference(resolution,[status(thm)],[f114,f565])).
% 13.77/2.15 fof(f1044,plain,(
% 13.77/2.15 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 13.77/2.15 inference(resolution,[status(thm)],[f1004,f104])).
% 13.77/2.15 fof(f1078,plain,(
% 13.77/2.15 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 13.77/2.15 inference(resolution,[status(thm)],[f1044,f114])).
% 13.77/2.15 fof(f1745,plain,(
% 13.77/2.15 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 13.77/2.15 inference(resolution,[status(thm)],[f988,f563])).
% 13.77/2.15 fof(f2581,plain,(
% 13.77/2.15 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 13.77/2.15 inference(resolution,[status(thm)],[f1745,f194])).
% 13.77/2.15 fof(f2758,plain,(
% 13.77/2.15 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 13.77/2.15 inference(resolution,[status(thm)],[f2581,f194])).
% 13.77/2.15 fof(f3216,plain,(
% 13.77/2.15 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 13.77/2.15 inference(resolution,[status(thm)],[f2758,f135])).
% 13.77/2.15 fof(f3269,plain,(
% 13.77/2.15 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 13.77/2.15 inference(resolution,[status(thm)],[f3216,f132])).
% 13.77/2.15 fof(f3301,plain,(
% 13.77/2.15 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 13.77/2.15 inference(resolution,[status(thm)],[f3269,f1078])).
% 13.77/2.15 fof(f3368,plain,(
% 13.77/2.15 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 13.77/2.15 inference(resolution,[status(thm)],[f3301,f27])).
% 13.77/2.15 fof(f5197,plain,(
% 13.77/2.15 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 13.77/2.15 inference(resolution,[status(thm)],[f3368,f8])).
% 13.77/2.15 fof(f5732,plain,(
% 13.77/2.15 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 13.77/2.15 inference(resolution,[status(thm)],[f5197,f7])).
% 13.77/2.15 fof(f5861,plain,(
% 13.77/2.15 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 13.77/2.15 inference(resolution,[status(thm)],[f5732,f2758])).
% 13.77/2.15 fof(f5943,plain,(
% 13.77/2.15 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 13.77/2.17 inference(resolution,[status(thm)],[f5861,f132])).
% 13.77/2.17 fof(f6006,plain,(
% 13.77/2.17 ![X0]: (is_a_theorem(implies(not(not(X0)),X0)))),
% 13.77/2.17 inference(resolution,[status(thm)],[f5943,f114])).
% 13.77/2.17 fof(f6012,plain,(
% 13.77/2.17 $false),
% 13.77/2.17 inference(backward_subsumption_resolution,[status(thm)],[f11,f6006])).
% 13.77/2.17 % SZS output end CNFRefutation for theBenchmark.p
% 13.77/2.19 % Elapsed time: 1.838675 seconds
% 13.77/2.19 % CPU time: 14.301809 seconds
% 13.77/2.19 % Total memory used: 182.552 MB
% 13.77/2.19 % Net memory used: 160.897 MB
%------------------------------------------------------------------------------