%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL069-1 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 01:09:18 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.69s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL069-1 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n007.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 00:01:20 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.40 % Drodi V4.1.1
% 0.17/0.69 % Refutation found
% 0.17/0.69 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.69 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.69 fof(f1,axiom,(
% 0.17/0.69 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.69 fof(f2,axiom,(
% 0.17/0.69 (![X,Y,Z]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))) ))),
% 0.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.69 fof(f3,axiom,(
% 0.17/0.69 (![X,Y,Z]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))) ))),
% 0.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.69 fof(f4,axiom,(
% 0.17/0.69 (![X,Z,Y]: (is_a_theorem(implies(implies(not(X),Z),implies(implies(Y,Z),implies(implies(X,Y),Z)))) ))),
% 0.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.69 fof(f5,negated_conjecture,(
% 0.17/0.69 ~ is_a_theorem(implies(a,implies(not(a),b))) ),
% 0.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.69 fof(f6,plain,(
% 0.17/0.69 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.17/0.69 inference(miniscoping,[status(thm)],[f1])).
% 0.17/0.69 fof(f7,plain,(
% 0.17/0.69 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.17/0.69 inference(cnf_transformation,[status(thm)],[f6])).
% 0.17/0.69 fof(f8,plain,(
% 0.17/0.69 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 0.17/0.69 inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/0.69 fof(f9,plain,(
% 0.17/0.69 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))))),
% 0.17/0.69 inference(cnf_transformation,[status(thm)],[f3])).
% 0.17/0.69 fof(f10,plain,(
% 0.17/0.69 ![X0,X1,X2]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X2,X1),implies(implies(X0,X2),X1)))))),
% 0.17/0.69 inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/0.69 fof(f11,plain,(
% 0.17/0.69 ~is_a_theorem(implies(a,implies(not(a),b)))),
% 0.17/0.69 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/0.69 fof(f12,plain,(
% 0.17/0.69 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 0.17/0.69 inference(resolution,[status(thm)],[f8,f7])).
% 0.17/0.69 fof(f13,plain,(
% 0.17/0.69 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.17/0.69 inference(resolution,[status(thm)],[f12,f8])).
% 0.17/0.69 fof(f17,plain,(
% 0.17/0.69 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(not(X0),X2)))),
% 0.17/0.69 inference(resolution,[status(thm)],[f9,f7])).
% 0.17/0.69 fof(f43,plain,(
% 0.17/0.69 ![X0,X1,X2]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X2,X1),implies(implies(X0,X2),X1))))),
% 0.17/0.69 inference(resolution,[status(thm)],[f7,f10])).
% 0.17/0.69 fof(f68,plain,(
% 0.17/0.69 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(X0,X1)),implies(X1,X2))))),
% 0.17/0.69 inference(resolution,[status(thm)],[f17,f8])).
% 0.17/0.69 fof(f74,plain,(
% 0.17/0.69 ![X0,X1,X2]: (is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))))),
% 0.17/0.69 inference(resolution,[status(thm)],[f17,f13])).
% 0.17/0.69 fof(f84,plain,(
% 0.17/0.69 ![X0,X1,X2]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X2,X1))|is_a_theorem(implies(implies(X0,X2),X1)))),
% 0.17/0.69 inference(resolution,[status(thm)],[f43,f7])).
% 0.17/0.69 fof(f100,plain,(
% 0.17/0.69 ![X0,X1,X2]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X2,X1))|~is_a_theorem(implies(X0,X2))|is_a_theorem(X1))),
% 0.17/0.69 inference(resolution,[status(thm)],[f84,f7])).
% 0.17/0.69 fof(f115,plain,(
% 0.17/0.69 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(implies(X3,X1),X0))|is_a_theorem(implies(X1,X2)))),
% 0.17/0.69 inference(resolution,[status(thm)],[f100,f68])).
% 0.17/0.69 fof(f120,plain,(
% 0.17/0.69 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))|~is_a_theorem(implies(X2,X0))|is_a_theorem(implies(X1,implies(X2,X3))))),
% 0.17/0.69 inference(resolution,[status(thm)],[f100,f74])).
% 0.17/0.69 fof(f171,plain,(
% 0.17/0.69 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),implies(X1,X2)))|is_a_theorem(implies(X1,X2)))),
% 0.17/0.69 inference(resolution,[status(thm)],[f115,f8])).
% 0.17/0.69 fof(f187,plain,(
% 0.17/0.69 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 0.17/0.69 inference(resolution,[status(thm)],[f171,f8])).
% 0.17/0.69 fof(f204,plain,(
% 0.17/0.69 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 0.17/0.69 inference(resolution,[status(thm)],[f187,f17])).
% 0.17/0.69 fof(f1589,plain,(
% 0.17/0.69 ![X0,X1,X2]: (~is_a_theorem(implies(X0,not(X1)))|is_a_theorem(implies(X1,implies(X0,X2))))),
% 0.17/0.69 inference(resolution,[status(thm)],[f120,f204])).
% 0.17/0.70 fof(f2037,plain,(
% 0.17/0.70 ~is_a_theorem(implies(not(a),not(a)))),
% 0.17/0.70 inference(resolution,[status(thm)],[f1589,f11])).
% 0.17/0.70 fof(f2049,plain,(
% 0.17/0.70 $false),
% 0.17/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2037,f187])).
% 0.17/0.70 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.75 % Elapsed time: 0.344456 seconds
% 0.17/0.75 % CPU time: 2.236758 seconds
% 0.17/0.75 % Total memory used: 81.934 MB
% 0.17/0.75 % Net memory used: 78.028 MB
%------------------------------------------------------------------------------