%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL052-1 : 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 : n010.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 0.15s 6.10s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL052-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.37 % Computer : n010.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Mon Sep 21 00:02:16 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.38 % Drodi V4.1.1
% 0.15/6.10 % Refutation found
% 0.15/6.10 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/6.10 % SZS output start CNFRefutation for theBenchmark
% 0.15/6.10 fof(f1,axiom,(
% 0.15/6.10 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.15/6.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/6.10 fof(f2,axiom,(
% 0.15/6.10 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 0.15/6.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/6.10 fof(f3,axiom,(
% 0.15/6.10 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 0.15/6.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/6.10 fof(f4,axiom,(
% 0.15/6.10 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 0.15/6.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/6.10 fof(f5,negated_conjecture,(
% 0.15/6.10 ~ is_a_theorem(implies(implies(implies(a,b),a),a)) ),
% 0.15/6.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/6.10 fof(f6,plain,(
% 0.15/6.10 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.15/6.10 inference(miniscoping,[status(thm)],[f1])).
% 0.15/6.10 fof(f7,plain,(
% 0.15/6.10 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.15/6.10 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/6.10 fof(f8,plain,(
% 0.15/6.10 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 0.15/6.10 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/6.10 fof(f9,plain,(
% 0.15/6.10 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 0.15/6.10 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/6.10 fof(f10,plain,(
% 0.15/6.10 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 0.15/6.10 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/6.10 fof(f11,plain,(
% 0.15/6.10 ~is_a_theorem(implies(implies(implies(a,b),a),a))),
% 0.15/6.10 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/6.10 fof(f12,plain,(
% 0.15/6.10 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 0.15/6.10 inference(resolution,[status(thm)],[f8,f7])).
% 0.15/6.10 fof(f13,plain,(
% 0.15/6.10 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 0.15/6.10 inference(resolution,[status(thm)],[f12,f8])).
% 0.15/6.10 fof(f15,plain,(
% 0.15/6.10 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 0.15/6.10 inference(resolution,[status(thm)],[f13,f7])).
% 0.15/6.10 fof(f20,plain,(
% 0.15/6.10 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))))),
% 0.15/6.10 inference(resolution,[status(thm)],[f15,f8])).
% 0.15/6.10 fof(f26,plain,(
% 0.15/6.10 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3))))),
% 0.15/6.10 inference(resolution,[status(thm)],[f20,f7])).
% 0.15/6.10 fof(f35,plain,(
% 0.15/6.10 ![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)))),
% 0.15/6.10 inference(resolution,[status(thm)],[f26,f7])).
% 0.15/6.10 fof(f42,plain,(
% 0.15/6.10 ![X0]: (~is_a_theorem(implies(X0,implies(a,b)))|~is_a_theorem(implies(implies(X0,a),a)))),
% 0.15/6.10 inference(resolution,[status(thm)],[f35,f11])).
% 0.15/6.10 fof(f52,plain,(
% 0.15/6.10 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 0.15/6.10 inference(resolution,[status(thm)],[f9,f12])).
% 0.15/6.10 fof(f55,plain,(
% 0.15/6.10 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 0.15/6.10 inference(resolution,[status(thm)],[f10,f12])).
% 0.15/6.10 fof(f56,plain,(
% 0.15/6.10 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 0.15/6.10 inference(resolution,[status(thm)],[f10,f7])).
% 0.15/6.10 fof(f59,plain,(
% 0.15/6.10 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 0.15/6.10 inference(resolution,[status(thm)],[f56,f12])).
% 0.15/6.10 fof(f70,plain,(
% 0.15/6.10 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 0.15/6.10 inference(resolution,[status(thm)],[f52,f7])).
% 0.15/6.10 fof(f73,plain,(
% 0.15/6.10 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 0.15/6.10 inference(resolution,[status(thm)],[f55,f7])).
% 0.15/6.10 fof(f78,plain,(
% 0.15/6.10 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X1))),
% 0.15/6.10 inference(resolution,[status(thm)],[f70,f7])).
% 0.15/6.10 fof(f85,plain,(
% 0.15/6.10 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 0.15/6.10 inference(resolution,[status(thm)],[f73,f59])).
% 0.15/6.10 fof(f125,plain,(
% 0.15/6.10 ~is_a_theorem(implies(not(a),implies(a,b)))),
% 0.15/6.10 inference(resolution,[status(thm)],[f42,f9])).
% 0.15/6.10 fof(f199,plain,(
% 0.15/6.10 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 0.15/6.10 inference(resolution,[status(thm)],[f12,f7])).
% 0.15/6.10 fof(f319,plain,(
% 0.15/6.10 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 0.15/6.10 inference(resolution,[status(thm)],[f199,f55])).
% 0.15/6.10 fof(f321,plain,(
% 0.15/6.10 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X2))|~is_a_theorem(implies(X1,X2)))),
% 0.15/6.10 inference(resolution,[status(thm)],[f199,f70])).
% 0.15/6.10 fof(f322,plain,(
% 0.15/6.10 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 0.15/6.10 inference(resolution,[status(thm)],[f199,f9])).
% 0.15/6.10 fof(f339,plain,(
% 0.15/6.10 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 0.15/6.10 inference(resolution,[status(thm)],[f322,f12])).
% 0.15/6.10 fof(f343,plain,(
% 0.15/6.10 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 0.15/6.10 inference(resolution,[status(thm)],[f322,f85])).
% 0.15/6.10 fof(f350,plain,(
% 0.15/6.10 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 0.15/6.10 inference(resolution,[status(thm)],[f343,f9])).
% 0.15/6.10 fof(f360,plain,(
% 0.15/6.10 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))))),
% 0.15/6.10 inference(resolution,[status(thm)],[f343,f10])).
% 0.15/6.10 fof(f706,plain,(
% 0.15/6.10 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 0.15/6.10 inference(resolution,[status(thm)],[f339,f350])).
% 0.15/6.10 fof(f712,plain,(
% 0.15/6.10 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,implies(not(X0),X1)),X2),X2)))),
% 0.15/6.10 inference(resolution,[status(thm)],[f339,f360])).
% 0.15/6.10 fof(f1384,plain,(
% 0.15/6.10 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 0.15/6.10 inference(resolution,[status(thm)],[f706,f15])).
% 0.15/6.10 fof(f1457,plain,(
% 0.15/6.10 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(X0,implies(not(X1),X2)))))),
% 0.15/6.10 inference(resolution,[status(thm)],[f712,f15])).
% 0.15/6.10 fof(f1623,plain,(
% 0.15/6.10 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 0.15/6.10 inference(resolution,[status(thm)],[f1384,f15])).
% 0.15/6.10 fof(f2403,plain,(
% 0.15/6.10 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 0.15/6.10 inference(resolution,[status(thm)],[f1623,f73])).
% 0.15/6.10 fof(f2429,plain,(
% 0.15/6.10 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.15/6.10 inference(resolution,[status(thm)],[f2403,f319])).
% 0.15/6.10 fof(f2455,plain,(
% 0.15/6.10 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 0.15/6.10 inference(resolution,[status(thm)],[f2429,f343])).
% 0.15/6.10 fof(f2475,plain,(
% 0.15/6.10 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 0.15/6.10 inference(resolution,[status(thm)],[f2455,f78])).
% 0.15/6.10 fof(f2795,plain,(
% 0.15/6.10 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X0)),X2))))),
% 0.15/6.10 inference(resolution,[status(thm)],[f2475,f1457])).
% 0.15/6.10 fof(f2974,plain,(
% 0.15/6.10 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X2,X0),X1)))),
% 0.15/6.10 inference(resolution,[status(thm)],[f321,f2795])).
% 0.15/6.10 fof(f3599,plain,(
% 0.15/6.10 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 0.15/6.10 inference(resolution,[status(thm)],[f2974,f1623])).
% 0.15/6.10 fof(f3681,plain,(
% 0.15/6.10 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 0.15/6.10 inference(resolution,[status(thm)],[f3599,f319])).
% 0.15/6.10 fof(f3687,plain,(
% 0.15/6.10 $false),
% 0.15/6.10 inference(backward_subsumption_resolution,[status(thm)],[f125,f3681])).
% 0.15/6.10 % SZS output end CNFRefutation for theBenchmark.p
% 3.04/6.12 % Elapsed time: 0.734740 seconds
% 3.04/6.12 % CPU time: 5.605915 seconds
% 3.04/6.12 % Total memory used: 137.321 MB
% 3.04/6.12 % Net memory used: 123.060 MB
%------------------------------------------------------------------------------