%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL075-1 : 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 01:09:18 PM UTC 2026
% Result : Unsatisfiable 8.50s 1.93s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL075-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n018.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 00:05:13 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.43 % Drodi V4.1.1
% 8.50/1.93 % Refutation found
% 8.50/1.93 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.50/1.93 % SZS output start CNFRefutation for theBenchmark
% 8.50/1.93 fof(f1,axiom,(
% 8.50/1.93 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 8.50/1.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.50/1.93 fof(f2,axiom,(
% 8.50/1.93 (![X,Y,Z,U,V]: (is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(not(Z),not(U))),Z),V),implies(implies(V,X),implies(U,X)))) ))),
% 8.50/1.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.50/1.93 fof(f3,negated_conjecture,(
% 8.50/1.93 ~ is_a_theorem(implies(a,implies(not(a),b))) ),
% 8.50/1.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.50/1.93 fof(f4,plain,(
% 8.50/1.93 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 8.50/1.93 inference(miniscoping,[status(thm)],[f1])).
% 8.50/1.93 fof(f5,plain,(
% 8.50/1.93 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 8.50/1.93 inference(cnf_transformation,[status(thm)],[f4])).
% 8.50/1.93 fof(f6,plain,(
% 8.50/1.93 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(not(X2),not(X3))),X2),X4),implies(implies(X4,X0),implies(X3,X0)))))),
% 8.50/1.93 inference(cnf_transformation,[status(thm)],[f2])).
% 8.50/1.93 fof(f7,plain,(
% 8.50/1.93 ~is_a_theorem(implies(a,implies(not(a),b)))),
% 8.50/1.93 inference(cnf_transformation,[status(thm)],[f3])).
% 8.50/1.93 fof(f8,plain,(
% 8.50/1.93 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),implies(not(X2),not(X3))),X2),X4))|is_a_theorem(implies(implies(X4,X0),implies(X3,X0))))),
% 8.50/1.93 inference(resolution,[status(thm)],[f6,f5])).
% 8.50/1.93 fof(f9,plain,(
% 8.50/1.93 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))))),
% 8.50/1.93 inference(resolution,[status(thm)],[f8,f6])).
% 8.50/1.93 fof(f10,plain,(
% 8.50/1.93 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))))),
% 8.50/1.93 inference(resolution,[status(thm)],[f9,f8])).
% 8.50/1.93 fof(f12,plain,(
% 8.50/1.93 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 8.50/1.93 inference(resolution,[status(thm)],[f10,f8])).
% 8.50/1.93 fof(f15,plain,(
% 8.50/1.93 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(X2,X1)))),
% 8.50/1.93 inference(resolution,[status(thm)],[f12,f5])).
% 8.50/1.93 fof(f18,plain,(
% 8.50/1.93 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))))),
% 8.50/1.93 inference(resolution,[status(thm)],[f15,f12])).
% 8.50/1.93 fof(f19,plain,(
% 8.50/1.93 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X1)),X2),implies(X3,X2))))),
% 8.50/1.93 inference(resolution,[status(thm)],[f18,f8])).
% 8.50/1.93 fof(f350,plain,(
% 8.50/1.93 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 8.50/1.93 inference(resolution,[status(thm)],[f19,f8])).
% 8.50/1.93 fof(f377,plain,(
% 8.50/1.93 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),not(X1)),X0),X2),implies(X1,X2))))),
% 8.50/1.93 inference(resolution,[status(thm)],[f350,f8])).
% 8.50/1.93 fof(f4462,plain,(
% 8.50/1.93 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(not(X0),not(X1)),X0),X2))|is_a_theorem(implies(X1,X2)))),
% 8.50/1.93 inference(resolution,[status(thm)],[f377,f5])).
% 8.50/1.93 fof(f8165,plain,(
% 8.50/1.93 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 8.50/1.93 inference(resolution,[status(thm)],[f4462,f350])).
% 8.50/1.93 fof(f8281,plain,(
% 8.50/1.93 $false),
% 8.50/1.93 inference(backward_subsumption_resolution,[status(thm)],[f7,f8165])).
% 8.50/1.93 % SZS output end CNFRefutation for theBenchmark.p
% 11.21/1.96 % Elapsed time: 1.516369 seconds
% 11.21/1.96 % CPU time: 11.709188 seconds
% 11.21/1.96 % Total memory used: 167.219 MB
% 11.21/1.96 % Net memory used: 151.941 MB
%------------------------------------------------------------------------------