%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL381-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 01:09:56 PM UTC 2026
% Result : Unsatisfiable 24.93s 3.64s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL381-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 00:31:28 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 24.93/3.64 % Refutation found
% 24.93/3.64 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 24.93/3.64 % SZS output start CNFRefutation for theBenchmark
% 24.93/3.64 fof(f1,axiom,(
% 24.93/3.64 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 24.93/3.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.93/3.64 fof(f2,axiom,(
% 24.93/3.64 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 24.93/3.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.93/3.64 fof(f3,axiom,(
% 24.93/3.64 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 24.93/3.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.93/3.64 fof(f4,axiom,(
% 24.93/3.64 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 24.93/3.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.93/3.64 fof(f5,negated_conjecture,(
% 24.93/3.64 ~ is_a_theorem(implies(implies(implies(not(not(x)),y),z),implies(implies(x,y),z))) ),
% 24.93/3.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.93/3.64 fof(f6,plain,(
% 24.93/3.64 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 24.93/3.64 inference(miniscoping,[status(thm)],[f1])).
% 24.93/3.64 fof(f7,plain,(
% 24.93/3.64 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 24.93/3.64 inference(cnf_transformation,[status(thm)],[f6])).
% 24.93/3.64 fof(f8,plain,(
% 24.93/3.64 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 24.93/3.64 inference(cnf_transformation,[status(thm)],[f2])).
% 24.93/3.64 fof(f9,plain,(
% 24.93/3.64 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 24.93/3.64 inference(cnf_transformation,[status(thm)],[f3])).
% 24.93/3.64 fof(f10,plain,(
% 24.93/3.64 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 24.93/3.64 inference(cnf_transformation,[status(thm)],[f4])).
% 24.93/3.64 fof(f11,plain,(
% 24.93/3.64 ~is_a_theorem(implies(implies(implies(not(not(x)),y),z),implies(implies(x,y),z)))),
% 24.93/3.64 inference(cnf_transformation,[status(thm)],[f5])).
% 24.93/3.64 fof(f14,plain,(
% 24.93/3.64 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 24.93/3.64 inference(resolution,[status(thm)],[f8,f7])).
% 24.93/3.64 fof(f24,plain,(
% 24.93/3.64 ~is_a_theorem(implies(implies(x,y),implies(not(not(x)),y)))),
% 24.93/3.64 inference(resolution,[status(thm)],[f14,f11])).
% 24.93/3.64 fof(f25,plain,(
% 24.93/3.64 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 24.93/3.64 inference(resolution,[status(thm)],[f14,f7])).
% 24.93/3.64 fof(f115,plain,(
% 24.93/3.64 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 24.93/3.64 inference(resolution,[status(thm)],[f14,f9])).
% 24.93/3.64 fof(f116,plain,(
% 24.93/3.64 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 24.93/3.64 inference(resolution,[status(thm)],[f14,f8])).
% 24.93/3.64 fof(f117,plain,(
% 24.93/3.64 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 24.93/3.64 inference(resolution,[status(thm)],[f14,f10])).
% 24.93/3.64 fof(f124,plain,(
% 24.93/3.64 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 24.93/3.64 inference(resolution,[status(thm)],[f115,f7])).
% 24.93/3.64 fof(f132,plain,(
% 24.93/3.64 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 24.93/3.64 inference(resolution,[status(thm)],[f117,f7])).
% 24.93/3.64 fof(f153,plain,(
% 24.93/3.64 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))))),
% 24.93/3.64 inference(resolution,[status(thm)],[f132,f8])).
% 24.93/3.64 fof(f234,plain,(
% 24.93/3.64 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 24.93/3.64 inference(resolution,[status(thm)],[f25,f117])).
% 24.93/3.64 fof(f236,plain,(
% 24.93/3.64 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 24.93/3.64 inference(resolution,[status(thm)],[f25,f9])).
% 24.93/3.64 fof(f250,plain,(
% 24.93/3.64 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 24.93/3.64 inference(resolution,[status(thm)],[f153,f7])).
% 24.93/3.64 fof(f348,plain,(
% 24.93/3.64 ~is_a_theorem(implies(not(not(x)),x))),
% 24.93/3.64 inference(resolution,[status(thm)],[f14,f24])).
% 24.93/3.64 fof(f405,plain,(
% 24.93/3.64 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 24.93/3.64 inference(resolution,[status(thm)],[f116,f7])).
% 24.93/3.64 fof(f428,plain,(
% 24.93/3.64 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 2.01/3.68 inference(resolution,[status(thm)],[f236,f14])).
% 2.01/3.68 fof(f459,plain,(
% 2.01/3.68 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X0),X0)))),
% 2.01/3.68 inference(resolution,[status(thm)],[f250,f236])).
% 2.01/3.68 fof(f630,plain,(
% 2.01/3.68 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 2.01/3.68 inference(resolution,[status(thm)],[f132,f459])).
% 2.01/3.68 fof(f688,plain,(
% 2.01/3.68 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 2.01/3.68 inference(resolution,[status(thm)],[f630,f9])).
% 2.01/3.68 fof(f929,plain,(
% 2.01/3.68 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X1))),
% 2.01/3.68 inference(resolution,[status(thm)],[f124,f7])).
% 2.01/3.68 fof(f1092,plain,(
% 2.01/3.68 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 2.01/3.68 inference(resolution,[status(thm)],[f428,f688])).
% 2.01/3.68 fof(f2024,plain,(
% 2.01/3.68 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 2.01/3.68 inference(resolution,[status(thm)],[f405,f1092])).
% 2.01/3.68 fof(f2366,plain,(
% 2.01/3.68 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 2.01/3.68 inference(resolution,[status(thm)],[f2024,f405])).
% 2.01/3.68 fof(f2488,plain,(
% 2.01/3.68 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 2.01/3.68 inference(resolution,[status(thm)],[f2366,f132])).
% 2.01/3.68 fof(f2512,plain,(
% 2.01/3.68 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 2.01/3.68 inference(resolution,[status(thm)],[f2488,f234])).
% 2.01/3.68 fof(f2538,plain,(
% 2.01/3.68 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 2.01/3.68 inference(resolution,[status(thm)],[f2512,f630])).
% 2.01/3.68 fof(f2551,plain,(
% 2.01/3.68 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 2.01/3.68 inference(resolution,[status(thm)],[f2538,f929])).
% 2.01/3.68 fof(f4042,plain,(
% 2.01/3.68 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 2.01/3.68 inference(resolution,[status(thm)],[f2551,f8])).
% 2.01/3.68 fof(f4895,plain,(
% 2.01/3.68 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 2.01/3.68 inference(resolution,[status(thm)],[f4042,f7])).
% 2.01/3.68 fof(f5219,plain,(
% 2.01/3.68 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 2.01/3.68 inference(resolution,[status(thm)],[f4895,f2366])).
% 2.01/3.68 fof(f5293,plain,(
% 2.01/3.68 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 2.01/3.68 inference(resolution,[status(thm)],[f5219,f234])).
% 2.01/3.68 fof(f5305,plain,(
% 2.01/3.68 ![X0]: (is_a_theorem(implies(not(not(X0)),X0)))),
% 2.01/3.68 inference(resolution,[status(thm)],[f5293,f236])).
% 2.01/3.68 fof(f5312,plain,(
% 2.01/3.68 $false),
% 2.01/3.68 inference(backward_subsumption_resolution,[status(thm)],[f348,f5305])).
% 2.01/3.68 % SZS output end CNFRefutation for theBenchmark.p
% 2.01/3.68 % Elapsed time: 3.295121 seconds
% 2.01/3.68 % CPU time: 25.748733 seconds
% 2.01/3.68 % Total memory used: 228.486 MB
% 2.01/3.68 % Net memory used: 201.366 MB
%------------------------------------------------------------------------------