%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL059-1 : 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 : n017.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 01:09:16 PM UTC 2026
% Result : Unsatisfiable 5.42s 1.30s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL059-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.45 % Computer : n017.cluster.edu
% 0.15/0.45 % Model : x86_64 x86_64
% 0.15/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.45 % Memory : 8046.5625MB
% 0.15/0.45 % OS : Linux 6.8.0-71-generic
% 0.15/0.45 % CPULimit : 300
% 0.15/0.46 % WCLimit : 300
% 0.15/0.46 % DateTime : Sun Sep 20 23:57:41 UTC 2026
% 0.15/0.46 % CPUTime :
% 0.15/0.47 % Drodi V4.1.1
% 5.42/1.30 % Refutation found
% 5.42/1.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.42/1.30 % SZS output start CNFRefutation for theBenchmark
% 5.42/1.30 fof(f1,axiom,(
% 5.42/1.30 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 5.42/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.42/1.30 fof(f2,axiom,(
% 5.42/1.30 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 5.42/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.42/1.30 fof(f3,axiom,(
% 5.42/1.30 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 5.42/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.42/1.30 fof(f4,axiom,(
% 5.42/1.30 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 5.42/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.42/1.30 fof(f5,negated_conjecture,(
% 5.42/1.30 ~ is_a_theorem(implies(implies(not(a),not(b)),implies(b,a))) ),
% 5.42/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.42/1.30 fof(f6,plain,(
% 5.42/1.30 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 5.42/1.30 inference(miniscoping,[status(thm)],[f1])).
% 5.42/1.30 fof(f7,plain,(
% 5.42/1.30 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 5.42/1.30 inference(cnf_transformation,[status(thm)],[f6])).
% 5.42/1.30 fof(f8,plain,(
% 5.42/1.30 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 5.42/1.30 inference(cnf_transformation,[status(thm)],[f2])).
% 5.42/1.30 fof(f9,plain,(
% 5.42/1.30 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 5.42/1.30 inference(cnf_transformation,[status(thm)],[f3])).
% 5.42/1.30 fof(f10,plain,(
% 5.42/1.30 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 5.42/1.30 inference(cnf_transformation,[status(thm)],[f4])).
% 5.42/1.30 fof(f11,plain,(
% 5.42/1.30 ~is_a_theorem(implies(implies(not(a),not(b)),implies(b,a)))),
% 5.42/1.30 inference(cnf_transformation,[status(thm)],[f5])).
% 5.42/1.30 fof(f14,plain,(
% 5.42/1.30 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 5.42/1.30 inference(resolution,[status(thm)],[f8,f7])).
% 5.42/1.30 fof(f24,plain,(
% 5.42/1.30 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 5.42/1.30 inference(resolution,[status(thm)],[f14,f7])).
% 5.42/1.30 fof(f26,plain,(
% 5.42/1.30 ![X0]: (~is_a_theorem(implies(implies(not(a),not(b)),X0))|~is_a_theorem(implies(X0,implies(b,a))))),
% 5.42/1.30 inference(resolution,[status(thm)],[f24,f11])).
% 5.42/1.30 fof(f116,plain,(
% 5.42/1.30 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 5.42/1.30 inference(resolution,[status(thm)],[f14,f10])).
% 5.42/1.30 fof(f130,plain,(
% 5.42/1.30 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 5.42/1.30 inference(resolution,[status(thm)],[f116,f7])).
% 5.42/1.30 fof(f151,plain,(
% 5.42/1.30 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))))),
% 5.42/1.30 inference(resolution,[status(thm)],[f130,f8])).
% 5.42/1.30 fof(f232,plain,(
% 5.42/1.30 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 5.42/1.30 inference(resolution,[status(thm)],[f24,f116])).
% 5.42/1.30 fof(f234,plain,(
% 5.42/1.30 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 5.42/1.30 inference(resolution,[status(thm)],[f24,f9])).
% 5.42/1.30 fof(f236,plain,(
% 5.42/1.30 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3)))))),
% 5.42/1.30 inference(resolution,[status(thm)],[f24,f8])).
% 5.42/1.30 fof(f273,plain,(
% 5.42/1.30 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 5.42/1.30 inference(resolution,[status(thm)],[f151,f7])).
% 5.42/1.30 fof(f416,plain,(
% 5.42/1.30 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 5.42/1.30 inference(resolution,[status(thm)],[f234,f14])).
% 5.42/1.30 fof(f471,plain,(
% 5.42/1.30 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X0),X0)))),
% 5.42/1.30 inference(resolution,[status(thm)],[f273,f234])).
% 5.42/1.30 fof(f594,plain,(
% 5.42/1.30 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 5.42/1.30 inference(resolution,[status(thm)],[f130,f471])).
% 5.42/1.30 fof(f605,plain,(
% 5.42/1.30 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 5.42/1.30 inference(resolution,[status(thm)],[f594,f9])).
% 5.42/1.30 fof(f1056,plain,(
% 5.42/1.30 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 5.42/1.32 inference(resolution,[status(thm)],[f416,f605])).
% 5.42/1.32 fof(f1477,plain,(
% 5.42/1.32 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))))),
% 5.42/1.32 inference(resolution,[status(thm)],[f232,f8])).
% 5.42/1.32 fof(f1616,plain,(
% 5.42/1.32 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(a),not(b)),implies(X0,X1)))|~is_a_theorem(implies(implies(implies(X1,X2),implies(X0,X2)),implies(b,a))))),
% 5.42/1.32 inference(resolution,[status(thm)],[f236,f26])).
% 5.42/1.32 fof(f2632,plain,(
% 5.42/1.32 ~is_a_theorem(implies(implies(not(a),not(b)),implies(b,implies(not(a),a))))),
% 5.42/1.32 inference(resolution,[status(thm)],[f1616,f1056])).
% 5.42/1.32 fof(f2636,plain,(
% 5.42/1.32 $false),
% 5.42/1.32 inference(forward_subsumption_resolution,[status(thm)],[f2632,f1477])).
% 5.42/1.32 % SZS output end CNFRefutation for theBenchmark.p
% 1.56/1.34 % Elapsed time: 0.864137 seconds
% 1.56/1.34 % CPU time: 6.375671 seconds
% 1.56/1.34 % Total memory used: 123.934 MB
% 1.56/1.34 % Net memory used: 114.045 MB
%------------------------------------------------------------------------------