%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL064-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 01:09:17 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL064-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n018.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 00:04:59 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.47 % Refutation found
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.47 fof(f1,axiom,(
% 0.16/0.47 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f2,axiom,(
% 0.16/0.47 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f3,axiom,(
% 0.16/0.47 (![X,Y,Z]: (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) ))),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f5,negated_conjecture,(
% 0.16/0.47 ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) ),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f6,plain,(
% 0.16/0.47 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.16/0.47 inference(miniscoping,[status(thm)],[f1])).
% 0.16/0.47 fof(f7,plain,(
% 0.16/0.47 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/0.47 fof(f8,plain,(
% 0.16/0.47 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/0.47 fof(f9,plain,(
% 0.16/0.47 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/0.47 fof(f11,plain,(
% 0.16/0.47 ~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f5])).
% 0.16/0.47 fof(f12,plain,(
% 0.16/0.47 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 0.16/0.47 inference(resolution,[status(thm)],[f7,f8])).
% 0.16/0.47 fof(f14,plain,(
% 0.16/0.47 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X0,X1),implies(X0,X2))))),
% 0.16/0.47 inference(resolution,[status(thm)],[f9,f7])).
% 0.16/0.47 fof(f15,plain,(
% 0.16/0.47 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))))),
% 0.16/0.47 inference(resolution,[status(thm)],[f9,f12])).
% 0.16/0.47 fof(f22,plain,(
% 0.16/0.47 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,X2)))),
% 0.16/0.47 inference(resolution,[status(thm)],[f14,f7])).
% 0.16/0.47 fof(f23,plain,(
% 0.16/0.47 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X3,implies(implies(X0,X1),implies(X0,X2)))))),
% 0.16/0.47 inference(resolution,[status(thm)],[f14,f12])).
% 0.16/0.47 fof(f32,plain,(
% 0.16/0.47 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X0),X2)))|is_a_theorem(implies(X0,X2)))),
% 0.16/0.47 inference(resolution,[status(thm)],[f22,f8])).
% 0.16/0.47 fof(f41,plain,(
% 0.16/0.47 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 0.16/0.47 inference(resolution,[status(thm)],[f15,f32])).
% 0.16/0.47 fof(f45,plain,(
% 0.16/0.47 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X1,implies(X0,X2))))),
% 0.16/0.47 inference(resolution,[status(thm)],[f23,f32])).
% 0.16/0.47 fof(f159,plain,(
% 0.16/0.47 ~is_a_theorem(implies(implies(b,c),implies(implies(a,b),implies(a,c))))),
% 0.16/0.47 inference(resolution,[status(thm)],[f45,f11])).
% 0.16/0.47 fof(f167,plain,(
% 0.16/0.47 $false),
% 0.16/0.47 inference(forward_subsumption_resolution,[status(thm)],[f159,f41])).
% 0.16/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.50 % Elapsed time: 0.066851 seconds
% 0.16/0.50 % CPU time: 0.227019 seconds
% 0.16/0.50 % Total memory used: 50.140 MB
% 0.16/0.50 % Net memory used: 49.667 MB
%------------------------------------------------------------------------------