%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL382-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 13.04s 2.19s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL382-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n014.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 00:26:04 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.48 % Drodi V4.1.1
% 13.04/2.19 % Refutation found
% 13.04/2.19 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 13.04/2.19 % SZS output start CNFRefutation for theBenchmark
% 13.04/2.19 fof(f1,axiom,(
% 13.04/2.19 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 13.04/2.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.04/2.19 fof(f2,axiom,(
% 13.04/2.19 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 13.04/2.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.04/2.19 fof(f3,axiom,(
% 13.04/2.19 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 13.04/2.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.04/2.19 fof(f4,axiom,(
% 13.04/2.19 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 13.04/2.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.04/2.19 fof(f5,negated_conjecture,(
% 13.04/2.19 ~ is_a_theorem(implies(implies(x,y),implies(implies(y,not(x)),not(x)))) ),
% 13.04/2.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.04/2.19 fof(f6,plain,(
% 13.04/2.19 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 13.04/2.19 inference(miniscoping,[status(thm)],[f1])).
% 13.04/2.19 fof(f7,plain,(
% 13.04/2.19 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 13.04/2.19 inference(cnf_transformation,[status(thm)],[f6])).
% 13.04/2.19 fof(f8,plain,(
% 13.04/2.19 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 13.04/2.19 inference(cnf_transformation,[status(thm)],[f2])).
% 13.04/2.19 fof(f9,plain,(
% 13.04/2.19 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 13.04/2.19 inference(cnf_transformation,[status(thm)],[f3])).
% 13.04/2.19 fof(f10,plain,(
% 13.04/2.19 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 13.04/2.19 inference(cnf_transformation,[status(thm)],[f4])).
% 13.04/2.19 fof(f11,plain,(
% 13.04/2.19 ~is_a_theorem(implies(implies(x,y),implies(implies(y,not(x)),not(x))))),
% 13.04/2.19 inference(cnf_transformation,[status(thm)],[f5])).
% 13.04/2.19 fof(f23,plain,(
% 13.04/2.19 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 13.04/2.19 inference(resolution,[status(thm)],[f8,f7])).
% 13.04/2.19 fof(f24,plain,(
% 13.04/2.19 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 13.04/2.19 inference(resolution,[status(thm)],[f23,f7])).
% 13.04/2.19 fof(f26,plain,(
% 13.04/2.19 ![X0]: (~is_a_theorem(implies(implies(x,y),X0))|~is_a_theorem(implies(X0,implies(implies(y,not(x)),not(x)))))),
% 13.04/2.19 inference(resolution,[status(thm)],[f24,f11])).
% 13.04/2.19 fof(f114,plain,(
% 13.04/2.19 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 13.04/2.19 inference(resolution,[status(thm)],[f23,f9])).
% 13.04/2.19 fof(f115,plain,(
% 13.04/2.19 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 13.04/2.19 inference(resolution,[status(thm)],[f23,f8])).
% 13.04/2.19 fof(f116,plain,(
% 13.04/2.19 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 13.04/2.19 inference(resolution,[status(thm)],[f23,f10])).
% 13.04/2.19 fof(f120,plain,(
% 13.04/2.19 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 13.04/2.19 inference(resolution,[status(thm)],[f114,f7])).
% 13.04/2.19 fof(f127,plain,(
% 13.04/2.19 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 13.04/2.19 inference(resolution,[status(thm)],[f116,f7])).
% 13.04/2.19 fof(f147,plain,(
% 13.04/2.19 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 13.04/2.19 inference(resolution,[status(thm)],[f24,f116])).
% 13.04/2.19 fof(f149,plain,(
% 13.04/2.19 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 13.04/2.19 inference(resolution,[status(thm)],[f24,f9])).
% 13.04/2.19 fof(f159,plain,(
% 13.04/2.19 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))))),
% 13.04/2.19 inference(resolution,[status(thm)],[f127,f8])).
% 13.04/2.19 fof(f311,plain,(
% 13.04/2.19 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 13.04/2.19 inference(resolution,[status(thm)],[f159,f7])).
% 13.04/2.19 fof(f320,plain,(
% 13.04/2.19 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 13.04/2.19 inference(resolution,[status(thm)],[f115,f7])).
% 13.04/2.19 fof(f442,plain,(
% 13.04/2.19 ![X0]: (~is_a_theorem(implies(implies(X0,y),implies(implies(y,not(x)),not(x))))|~is_a_theorem(implies(X0,x)))),
% 13.04/2.21 inference(resolution,[status(thm)],[f26,f23])).
% 13.04/2.21 fof(f593,plain,(
% 13.04/2.21 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 13.04/2.21 inference(resolution,[status(thm)],[f127,f311])).
% 13.04/2.21 fof(f623,plain,(
% 13.04/2.21 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 13.04/2.21 inference(resolution,[status(thm)],[f149,f23])).
% 13.04/2.21 fof(f633,plain,(
% 13.04/2.21 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 13.04/2.21 inference(resolution,[status(thm)],[f149,f593])).
% 13.04/2.21 fof(f638,plain,(
% 13.04/2.21 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 13.04/2.21 inference(resolution,[status(thm)],[f633,f9])).
% 13.04/2.21 fof(f878,plain,(
% 13.04/2.21 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X1))),
% 13.04/2.21 inference(resolution,[status(thm)],[f120,f7])).
% 13.04/2.21 fof(f982,plain,(
% 13.04/2.21 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 13.04/2.21 inference(resolution,[status(thm)],[f623,f638])).
% 13.04/2.21 fof(f2881,plain,(
% 13.04/2.21 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 13.04/2.21 inference(resolution,[status(thm)],[f320,f982])).
% 13.04/2.21 fof(f3977,plain,(
% 13.04/2.21 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 13.04/2.21 inference(resolution,[status(thm)],[f2881,f320])).
% 13.04/2.21 fof(f5401,plain,(
% 13.04/2.21 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 13.04/2.21 inference(resolution,[status(thm)],[f3977,f127])).
% 13.04/2.21 fof(f5402,plain,(
% 13.04/2.21 ~is_a_theorem(implies(not(not(x)),x))),
% 13.04/2.21 inference(resolution,[status(thm)],[f3977,f442])).
% 13.04/2.21 fof(f5433,plain,(
% 13.04/2.21 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 13.04/2.21 inference(resolution,[status(thm)],[f5401,f147])).
% 13.04/2.21 fof(f5466,plain,(
% 13.04/2.21 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 13.04/2.21 inference(resolution,[status(thm)],[f5433,f633])).
% 13.04/2.21 fof(f5556,plain,(
% 13.04/2.21 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 13.04/2.21 inference(resolution,[status(thm)],[f5466,f878])).
% 13.04/2.21 fof(f6902,plain,(
% 13.04/2.21 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 13.04/2.21 inference(resolution,[status(thm)],[f5556,f8])).
% 13.04/2.21 fof(f7277,plain,(
% 13.04/2.21 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 13.04/2.21 inference(resolution,[status(thm)],[f6902,f7])).
% 13.04/2.21 fof(f7363,plain,(
% 13.04/2.21 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 13.04/2.21 inference(resolution,[status(thm)],[f7277,f3977])).
% 13.04/2.21 fof(f7446,plain,(
% 13.04/2.21 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 13.04/2.21 inference(resolution,[status(thm)],[f7363,f147])).
% 13.04/2.21 fof(f7465,plain,(
% 13.04/2.21 ![X0]: (is_a_theorem(implies(not(not(X0)),X0)))),
% 13.04/2.21 inference(resolution,[status(thm)],[f7446,f149])).
% 13.04/2.21 fof(f7473,plain,(
% 13.04/2.21 $false),
% 13.04/2.21 inference(backward_subsumption_resolution,[status(thm)],[f5402,f7465])).
% 13.04/2.21 % SZS output end CNFRefutation for theBenchmark.p
% 13.04/2.24 % Elapsed time: 1.760824 seconds
% 13.04/2.24 % CPU time: 13.440118 seconds
% 13.04/2.24 % Total memory used: 153.441 MB
% 13.04/2.24 % Net memory used: 136.136 MB
%------------------------------------------------------------------------------