%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL053-1 : 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 : n006.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 6.83s 1.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL053-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n006.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 00:01:43 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.43 % Drodi V4.1.1
% 6.83/1.39 % Refutation found
% 6.83/1.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.83/1.39 % SZS output start CNFRefutation for theBenchmark
% 6.83/1.39 fof(f1,axiom,(
% 6.83/1.39 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 6.83/1.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.83/1.39 fof(f2,axiom,(
% 6.83/1.39 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 6.83/1.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.83/1.39 fof(f3,axiom,(
% 6.83/1.39 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 6.83/1.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.83/1.39 fof(f4,axiom,(
% 6.83/1.39 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 6.83/1.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.83/1.39 fof(f5,negated_conjecture,(
% 6.83/1.39 ~ is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b))) ),
% 6.83/1.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.83/1.39 fof(f6,plain,(
% 6.83/1.39 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 6.83/1.39 inference(miniscoping,[status(thm)],[f1])).
% 6.83/1.39 fof(f7,plain,(
% 6.83/1.39 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 6.83/1.39 inference(cnf_transformation,[status(thm)],[f6])).
% 6.83/1.39 fof(f8,plain,(
% 6.83/1.39 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 6.83/1.39 inference(cnf_transformation,[status(thm)],[f2])).
% 6.83/1.39 fof(f9,plain,(
% 6.83/1.39 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 6.83/1.39 inference(cnf_transformation,[status(thm)],[f3])).
% 6.83/1.39 fof(f10,plain,(
% 6.83/1.39 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 6.83/1.39 inference(cnf_transformation,[status(thm)],[f4])).
% 6.83/1.39 fof(f11,plain,(
% 6.83/1.39 ~is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b)))),
% 6.83/1.39 inference(cnf_transformation,[status(thm)],[f5])).
% 6.83/1.39 fof(f12,plain,(
% 6.83/1.39 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 6.83/1.39 inference(resolution,[status(thm)],[f8,f7])).
% 6.83/1.39 fof(f13,plain,(
% 6.83/1.39 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 6.83/1.39 inference(resolution,[status(thm)],[f12,f8])).
% 6.83/1.39 fof(f15,plain,(
% 6.83/1.39 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 6.83/1.39 inference(resolution,[status(thm)],[f13,f7])).
% 6.83/1.39 fof(f17,plain,(
% 6.83/1.39 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))))),
% 6.83/1.39 inference(resolution,[status(thm)],[f15,f8])).
% 6.83/1.39 fof(f23,plain,(
% 6.83/1.39 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3))))),
% 6.83/1.39 inference(resolution,[status(thm)],[f17,f7])).
% 6.83/1.39 fof(f32,plain,(
% 6.83/1.39 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X0,X2),X3))|is_a_theorem(implies(implies(X1,X2),X3)))),
% 6.83/1.39 inference(resolution,[status(thm)],[f23,f7])).
% 6.83/1.39 fof(f46,plain,(
% 6.83/1.39 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 6.83/1.39 inference(resolution,[status(thm)],[f9,f12])).
% 6.83/1.39 fof(f49,plain,(
% 6.83/1.39 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 6.83/1.39 inference(resolution,[status(thm)],[f10,f12])).
% 6.83/1.39 fof(f50,plain,(
% 6.83/1.39 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 6.83/1.39 inference(resolution,[status(thm)],[f10,f7])).
% 6.83/1.39 fof(f53,plain,(
% 6.83/1.39 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 6.83/1.39 inference(resolution,[status(thm)],[f50,f12])).
% 6.83/1.39 fof(f57,plain,(
% 6.83/1.39 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 6.83/1.39 inference(resolution,[status(thm)],[f46,f7])).
% 6.83/1.39 fof(f58,plain,(
% 6.83/1.39 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))))),
% 6.83/1.39 inference(resolution,[status(thm)],[f49,f15])).
% 6.83/1.39 fof(f59,plain,(
% 6.83/1.39 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(not(X0),X3),X1),X2))))),
% 6.83/1.39 inference(resolution,[status(thm)],[f49,f12])).
% 6.83/1.39 fof(f60,plain,(
% 6.83/1.39 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 6.83/1.39 inference(resolution,[status(thm)],[f49,f7])).
% 6.83/1.39 fof(f65,plain,(
% 6.83/1.39 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X1))),
% 6.83/1.39 inference(resolution,[status(thm)],[f57,f7])).
% 6.83/1.39 fof(f70,plain,(
% 6.83/1.39 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))))),
% 6.83/1.39 inference(resolution,[status(thm)],[f60,f58])).
% 6.83/1.39 fof(f73,plain,(
% 6.83/1.39 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 6.83/1.39 inference(resolution,[status(thm)],[f60,f53])).
% 6.83/1.39 fof(f91,plain,(
% 6.83/1.39 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(implies(implies(not(X0),X3),X1),X2)))),
% 6.83/1.39 inference(resolution,[status(thm)],[f59,f7])).
% 6.83/1.39 fof(f107,plain,(
% 6.83/1.39 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))))),
% 6.83/1.39 inference(resolution,[status(thm)],[f70,f12])).
% 6.83/1.39 fof(f116,plain,(
% 6.83/1.39 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X3,X2))))),
% 6.83/1.39 inference(resolution,[status(thm)],[f73,f12])).
% 6.83/1.39 fof(f218,plain,(
% 6.83/1.39 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))|is_a_theorem(implies(X1,X3)))),
% 6.83/1.39 inference(resolution,[status(thm)],[f107,f7])).
% 6.83/1.39 fof(f221,plain,(
% 6.83/1.39 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X3,X2)))),
% 6.83/1.39 inference(resolution,[status(thm)],[f116,f7])).
% 6.83/1.39 fof(f442,plain,(
% 6.83/1.39 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(X1,X2)),X3))|is_a_theorem(implies(implies(X1,not(X0)),X3)))),
% 6.83/1.39 inference(resolution,[status(thm)],[f91,f15])).
% 6.83/1.39 fof(f914,plain,(
% 6.83/1.39 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 6.83/1.39 inference(resolution,[status(thm)],[f221,f9])).
% 6.83/1.39 fof(f952,plain,(
% 6.83/1.39 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 6.83/1.39 inference(resolution,[status(thm)],[f914,f9])).
% 6.83/1.39 fof(f1214,plain,(
% 6.83/1.39 ![X0,X1]: (~is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1))|is_a_theorem(X1))),
% 6.83/1.39 inference(resolution,[status(thm)],[f952,f65])).
% 6.83/1.39 fof(f2660,plain,(
% 6.83/1.39 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 6.83/1.39 inference(resolution,[status(thm)],[f1214,f23])).
% 6.83/1.39 fof(f4176,plain,(
% 6.83/1.39 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 6.83/1.39 inference(resolution,[status(thm)],[f2660,f952])).
% 6.83/1.39 fof(f5729,plain,(
% 6.83/1.39 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 6.83/1.39 inference(resolution,[status(thm)],[f4176,f15])).
% 6.83/1.39 fof(f6356,plain,(
% 6.83/1.39 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 6.83/1.39 inference(resolution,[status(thm)],[f5729,f218])).
% 6.83/1.39 fof(f6357,plain,(
% 6.83/1.39 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 6.83/1.39 inference(resolution,[status(thm)],[f5729,f442])).
% 6.83/1.39 fof(f6407,plain,(
% 6.83/1.39 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 6.83/1.39 inference(resolution,[status(thm)],[f6356,f12])).
% 6.83/1.39 fof(f6478,plain,(
% 6.83/1.39 ![X0]: (~is_a_theorem(implies(X0,a))|~is_a_theorem(implies(implies(X0,implies(a,b)),implies(a,b))))),
% 6.83/1.39 inference(resolution,[status(thm)],[f32,f11])).
% 6.83/1.39 fof(f7052,plain,(
% 6.83/1.39 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 6.83/1.39 inference(resolution,[status(thm)],[f6407,f7])).
% 6.83/1.39 fof(f8294,plain,(
% 6.83/1.39 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 6.83/1.39 inference(resolution,[status(thm)],[f6357,f7052])).
% 6.83/1.39 fof(f8311,plain,(
% 6.83/1.39 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),X0)))),
% 6.83/1.39 inference(resolution,[status(thm)],[f8294,f2660])).
% 6.83/1.39 fof(f8449,plain,(
% 6.83/1.39 ![X0]: (~is_a_theorem(implies(implies(implies(a,b),X0),a)))),
% 6.83/1.39 inference(resolution,[status(thm)],[f8311,f6478])).
% 6.83/1.39 fof(f10250,plain,(
% 6.83/1.39 $false),
% 6.83/1.39 inference(resolution,[status(thm)],[f8449,f8311])).
% 6.83/1.39 % SZS output end CNFRefutation for theBenchmark.p
% 1.61/1.44 % Elapsed time: 1.005286 seconds
% 1.61/1.44 % CPU time: 7.685062 seconds
% 1.61/1.44 % Total memory used: 130.108 MB
% 1.61/1.44 % Net memory used: 117.464 MB
%------------------------------------------------------------------------------