%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL366-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 01:09:53 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL366-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 21 00:23:52 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.31 % Drodi V4.1.1
% 0.08/0.53 % Refutation found
% 0.08/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.53 fof(f1,axiom,(
% 0.08/0.53 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.08/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.53 fof(f2,axiom,(
% 0.08/0.53 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 0.08/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.53 fof(f3,axiom,(
% 0.08/0.53 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 0.08/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.53 fof(f4,axiom,(
% 0.08/0.53 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 0.08/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.53 fof(f5,negated_conjecture,(
% 0.08/0.53 ~ is_a_theorem(implies(implies(not(x),y),implies(implies(y,x),x))) ),
% 0.08/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.53 fof(f6,plain,(
% 0.08/0.53 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.08/0.53 inference(miniscoping,[status(thm)],[f1])).
% 0.08/0.53 fof(f7,plain,(
% 0.08/0.53 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.08/0.53 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.53 fof(f8,plain,(
% 0.08/0.53 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 0.08/0.53 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.53 fof(f9,plain,(
% 0.08/0.53 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 0.08/0.53 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.53 fof(f10,plain,(
% 0.08/0.53 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 0.08/0.53 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.53 fof(f11,plain,(
% 0.08/0.53 ~is_a_theorem(implies(implies(not(x),y),implies(implies(y,x),x)))),
% 0.08/0.53 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.53 fof(f23,plain,(
% 0.08/0.53 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 0.08/0.53 inference(resolution,[status(thm)],[f8,f7])).
% 0.08/0.53 fof(f24,plain,(
% 0.08/0.53 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 0.08/0.53 inference(resolution,[status(thm)],[f23,f7])).
% 0.08/0.53 fof(f26,plain,(
% 0.08/0.53 ![X0]: (~is_a_theorem(implies(implies(not(x),y),X0))|~is_a_theorem(implies(X0,implies(implies(y,x),x))))),
% 0.08/0.53 inference(resolution,[status(thm)],[f24,f11])).
% 0.08/0.53 fof(f116,plain,(
% 0.08/0.53 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 0.08/0.53 inference(resolution,[status(thm)],[f23,f10])).
% 0.08/0.53 fof(f127,plain,(
% 0.08/0.53 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 0.08/0.53 inference(resolution,[status(thm)],[f116,f7])).
% 0.08/0.53 fof(f149,plain,(
% 0.08/0.53 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 0.08/0.53 inference(resolution,[status(thm)],[f24,f9])).
% 0.08/0.53 fof(f151,plain,(
% 0.08/0.53 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3)))))),
% 0.08/0.53 inference(resolution,[status(thm)],[f24,f8])).
% 0.08/0.53 fof(f159,plain,(
% 0.08/0.53 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))))),
% 0.08/0.53 inference(resolution,[status(thm)],[f127,f8])).
% 0.08/0.53 fof(f311,plain,(
% 0.08/0.53 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 0.08/0.53 inference(resolution,[status(thm)],[f159,f7])).
% 0.08/0.53 fof(f593,plain,(
% 0.08/0.53 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 0.08/0.53 inference(resolution,[status(thm)],[f127,f311])).
% 0.08/0.53 fof(f623,plain,(
% 0.08/0.53 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 0.08/0.53 inference(resolution,[status(thm)],[f149,f23])).
% 0.08/0.53 fof(f633,plain,(
% 0.08/0.53 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 0.08/0.53 inference(resolution,[status(thm)],[f149,f593])).
% 0.08/0.53 fof(f638,plain,(
% 0.08/0.53 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 0.08/0.53 inference(resolution,[status(thm)],[f633,f9])).
% 0.08/0.53 fof(f982,plain,(
% 0.08/0.53 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 0.08/0.53 inference(resolution,[status(thm)],[f623,f638])).
% 0.08/0.53 fof(f1947,plain,(
% 0.08/0.53 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(x),y),implies(X0,X1)))|~is_a_theorem(implies(implies(implies(X1,X2),implies(X0,X2)),implies(implies(y,x),x))))),
% 1.27/0.54 inference(resolution,[status(thm)],[f151,f26])).
% 1.27/0.54 fof(f3631,plain,(
% 1.27/0.54 ~is_a_theorem(implies(implies(not(x),y),implies(implies(y,x),implies(not(x),x))))),
% 1.27/0.54 inference(resolution,[status(thm)],[f1947,f982])).
% 1.27/0.54 fof(f3638,plain,(
% 1.27/0.54 $false),
% 1.27/0.54 inference(forward_subsumption_resolution,[status(thm)],[f3631,f8])).
% 1.27/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 1.27/0.55 % Elapsed time: 0.236628 seconds
% 1.27/0.55 % CPU time: 1.650833 seconds
% 1.27/0.55 % Total memory used: 95.018 MB
% 1.27/0.55 % Net memory used: 89.189 MB
%------------------------------------------------------------------------------