%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL009-1 : 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 : n026.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 01:09:12 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 00:02:36 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,axiom,(
% 0.13/0.40 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f2,axiom,(
% 0.13/0.40 (![X,Y,Z]: (is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(X,Z)))) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f3,negated_conjecture,(
% 0.13/0.40 ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c)))) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f4,plain,(
% 0.13/0.40 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f1])).
% 0.13/0.40 fof(f5,plain,(
% 0.13/0.40 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.40 fof(f6,plain,(
% 0.13/0.40 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X0,X2)))))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.40 fof(f7,plain,(
% 0.13/0.40 ~is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.40 fof(f8,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X2,X1),equivalent(X0,X2))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f6,f5])).
% 0.13/0.40 fof(f9,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X1))),equivalent(equivalent(X3,X2),X0))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f8,f6])).
% 0.13/0.40 fof(f11,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X1))))|is_a_theorem(equivalent(equivalent(X3,X2),X0)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f9,f5])).
% 0.13/0.40 fof(f12,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(equivalent(X3,X1),equivalent(X2,X3))))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f11,f9])).
% 0.13/0.40 fof(f13,plain,(
% 0.13/0.40 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f11,f6])).
% 0.13/0.40 fof(f15,plain,(
% 0.13/0.40 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X1,X2),X0))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f13,f8])).
% 0.13/0.40 fof(f17,plain,(
% 0.13/0.40 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X2,X1)))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f15,f11])).
% 0.13/0.40 fof(f19,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,equivalent(X1,X2)))|is_a_theorem(equivalent(equivalent(X1,X2),X0)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f15,f5])).
% 0.13/0.40 fof(f20,plain,(
% 0.13/0.40 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X1))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f17,f11])).
% 0.13/0.40 fof(f22,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X2,X1))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f17,f5])).
% 0.13/0.41 fof(f25,plain,(
% 0.13/0.41 ![X0,X1]: (~is_a_theorem(equivalent(X0,X0))|is_a_theorem(equivalent(X1,X1)))),
% 0.13/0.41 inference(resolution,[status(thm)],[f20,f5])).
% 0.13/0.41 fof(f27,plain,(
% 0.13/0.41 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X0))|is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X2,X1))))),
% 0.13/0.41 inference(resolution,[status(thm)],[f25,f8])).
% 0.13/0.41 fof(f32,plain,(
% 0.13/0.41 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,equivalent(X1,X2)))|~is_a_theorem(equivalent(X1,X2))|is_a_theorem(X0))),
% 0.13/0.41 inference(resolution,[status(thm)],[f19,f5])).
% 0.13/0.41 fof(f35,plain,(
% 0.13/0.41 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(X0,X2))|is_a_theorem(equivalent(X2,X1)))),
% 0.13/0.41 inference(resolution,[status(thm)],[f22,f5])).
% 0.13/0.41 fof(f39,plain,(
% 0.13/0.41 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X2,X0),X1))))),
% 0.13/0.41 inference(resolution,[status(thm)],[f12,f11])).
% 0.13/0.41 fof(f57,plain,(
% 0.13/0.41 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X1),equivalent(X2,X2))))|is_a_theorem(X0))),
% 0.13/0.41 inference(resolution,[status(thm)],[f32,f20])).
% 0.13/0.41 fof(f61,plain,(
% 0.13/0.41 ![X0]: (~is_a_theorem(equivalent(X0,equivalent(a,equivalent(b,c))))|~is_a_theorem(equivalent(X0,equivalent(equivalent(a,b),c))))),
% 0.13/0.41 inference(resolution,[status(thm)],[f35,f7])).
% 0.13/0.41 fof(f88,plain,(
% 0.13/0.41 ![X0]: (is_a_theorem(equivalent(X0,X0)))),
% 0.13/0.41 inference(resolution,[status(thm)],[f57,f12])).
% 0.13/0.41 fof(f102,plain,(
% 0.13/0.41 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))))),
% 0.13/0.41 inference(backward_subsumption_resolution,[status(thm)],[f27,f88])).
% 0.13/0.41 fof(f152,plain,(
% 0.13/0.41 ~is_a_theorem(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c)))),
% 0.13/0.41 inference(resolution,[status(thm)],[f102,f61])).
% 0.13/0.41 fof(f158,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f152,f39])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.053103 seconds
% 0.13/0.43 % CPU time: 0.184401 seconds
% 0.13/0.43 % Total memory used: 57.835 MB
% 0.13/0.43 % Net memory used: 57.155 MB
%------------------------------------------------------------------------------