%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL044-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 01:09:15 PM UTC 2026
% Result : Unsatisfiable 0.14s 10.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL044-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.38 % Computer : n018.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Mon Sep 21 00:03:53 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.39 % Drodi V4.1.1
% 0.14/10.42 % Refutation found
% 0.14/10.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/10.42 % SZS output start CNFRefutation for theBenchmark
% 0.14/10.42 fof(f1,axiom,(
% 0.14/10.42 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.14/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.42 fof(f2,axiom,(
% 0.14/10.42 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 0.14/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.42 fof(f3,axiom,(
% 0.14/10.42 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 0.14/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.42 fof(f4,axiom,(
% 0.14/10.42 (![X,Y,Z]: (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))) ))),
% 0.14/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.42 fof(f5,axiom,(
% 0.14/10.42 (![Y,Z,X]: (is_a_theorem(implies(implies(Y,Z),implies(implies(X,Y),implies(X,Z)))) ))),
% 0.14/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.42 fof(f6,axiom,(
% 0.14/10.42 (![X,Y]: (is_a_theorem(implies(implies(X,Y),implies(implies(not(X),Y),Y))) ))),
% 0.14/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.42 fof(f7,negated_conjecture,(
% 0.14/10.42 ~ is_a_theorem(implies(a,not(not(a)))) ),
% 0.14/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.42 fof(f8,plain,(
% 0.14/10.42 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.14/10.42 inference(miniscoping,[status(thm)],[f1])).
% 0.14/10.42 fof(f9,plain,(
% 0.14/10.42 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/10.42 fof(f10,plain,(
% 0.14/10.42 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/10.42 fof(f11,plain,(
% 0.14/10.42 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/10.42 fof(f12,plain,(
% 0.14/10.42 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))))),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/10.42 fof(f13,plain,(
% 0.14/10.42 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/10.42 fof(f14,plain,(
% 0.14/10.42 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))))),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/10.42 fof(f15,plain,(
% 0.14/10.42 ~is_a_theorem(implies(a,not(not(a))))),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/10.42 fof(f18,plain,(
% 0.14/10.42 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X1,implies(X0,X2))))),
% 0.14/10.42 inference(resolution,[status(thm)],[f12,f9])).
% 0.14/10.42 fof(f22,plain,(
% 0.14/10.42 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X1),X1)))),
% 0.14/10.42 inference(resolution,[status(thm)],[f14,f9])).
% 0.14/10.42 fof(f23,plain,(
% 0.14/10.42 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X1))|is_a_theorem(X1))),
% 0.14/10.42 inference(resolution,[status(thm)],[f22,f9])).
% 0.14/10.42 fof(f28,plain,(
% 0.14/10.42 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X2,X0),implies(X2,X1))))),
% 0.14/10.42 inference(resolution,[status(thm)],[f13,f9])).
% 0.14/10.42 fof(f29,plain,(
% 0.14/10.42 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(implies(X1,implies(X0,X2)))|is_a_theorem(implies(X0,X2)))),
% 0.14/10.42 inference(resolution,[status(thm)],[f18,f23])).
% 0.14/10.42 fof(f30,plain,(
% 0.14/10.42 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(X1)|is_a_theorem(implies(X0,X2)))),
% 0.14/10.42 inference(resolution,[status(thm)],[f18,f9])).
% 0.14/10.42 fof(f31,plain,(
% 0.14/10.42 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X2,X0))|is_a_theorem(implies(X2,X1)))),
% 0.14/10.42 inference(resolution,[status(thm)],[f28,f9])).
% 0.14/10.42 fof(f35,plain,(
% 0.14/10.42 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X0,X1),X1)))),
% 0.14/10.42 inference(resolution,[status(thm)],[f30,f14])).
% 0.14/10.42 fof(f67,plain,(
% 0.14/10.42 ![X0]: (~is_a_theorem(implies(X0,not(not(a))))|~is_a_theorem(implies(a,X0)))),
% 0.14/10.42 inference(resolution,[status(thm)],[f31,f15])).
% 0.14/10.42 fof(f91,plain,(
% 0.14/10.42 ![X0,X1]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X0,X1)))),
% 0.14/10.42 inference(resolution,[status(thm)],[f29,f10])).
% 0.14/10.42 fof(f98,plain,(
% 0.14/10.42 ![X0]: (~is_a_theorem(implies(implies(not(a),X0),not(not(a)))))),
% 0.14/10.42 inference(resolution,[status(thm)],[f67,f10])).
% 0.14/10.42 fof(f109,plain,(
% 0.14/10.42 ~is_a_theorem(implies(not(not(a)),not(not(a))))),
% 0.14/10.42 inference(resolution,[status(thm)],[f98,f35])).
% 0.14/10.42 fof(f183,plain,(
% 0.14/10.42 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 0.14/10.42 inference(resolution,[status(thm)],[f91,f11])).
% 0.14/10.42 fof(f226,plain,(
% 0.14/10.42 $false),
% 0.14/10.42 inference(forward_subsumption_resolution,[status(thm)],[f109,f183])).
% 0.14/10.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/10.44 % Elapsed time: 0.048510 seconds
% 0.14/10.44 % CPU time: 0.191778 seconds
% 0.14/10.44 % Total memory used: 47.477 MB
% 0.14/10.44 % Net memory used: 46.837 MB
%------------------------------------------------------------------------------