%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL357-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 01:09:52 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL357-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n008.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 00:24:25 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41 fof(f1,axiom,(
% 0.09/0.41 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f2,axiom,(
% 0.09/0.41 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f5,negated_conjecture,(
% 0.09/0.41 ~ is_a_theorem(implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,z),u)))) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f6,plain,(
% 0.09/0.41 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.09/0.41 inference(miniscoping,[status(thm)],[f1])).
% 0.09/0.41 fof(f7,plain,(
% 0.09/0.41 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.41 fof(f8,plain,(
% 0.09/0.41 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.41 fof(f11,plain,(
% 0.09/0.41 ~is_a_theorem(implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,z),u))))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.41 fof(f12,plain,(
% 0.09/0.41 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 0.09/0.41 inference(resolution,[status(thm)],[f8,f7])).
% 0.09/0.41 fof(f13,plain,(
% 0.09/0.41 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 0.09/0.41 inference(resolution,[status(thm)],[f12,f8])).
% 0.09/0.41 fof(f15,plain,(
% 0.09/0.41 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 0.09/0.41 inference(resolution,[status(thm)],[f13,f7])).
% 0.09/0.41 fof(f17,plain,(
% 0.09/0.41 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))))),
% 0.09/0.41 inference(resolution,[status(thm)],[f15,f8])).
% 0.09/0.41 fof(f22,plain,(
% 0.09/0.41 $false),
% 0.09/0.41 inference(backward_subsumption_resolution,[status(thm)],[f11,f17])).
% 0.09/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.052425 seconds
% 0.09/0.43 % CPU time: 0.145820 seconds
% 0.09/0.43 % Total memory used: 55.428 MB
% 0.09/0.43 % Net memory used: 54.918 MB
%------------------------------------------------------------------------------