%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL096-1 : 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 : n013.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 01:09:21 PM UTC 2026
% Result : Unsatisfiable 1.16s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL096-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 00:04:05 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 1.16/0.59 % Refutation found
% 1.16/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.16/0.59 % SZS output start CNFRefutation for theBenchmark
% 1.16/0.59 fof(f1,axiom,(
% 1.16/0.59 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 1.16/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.16/0.59 fof(f2,axiom,(
% 1.16/0.59 (![X,Y,Z,U]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z)),U),U)) ))),
% 1.16/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.16/0.59 fof(f3,axiom,(
% 1.16/0.59 (![X,Y,Z,U,V]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U)),V),V)) ))),
% 1.16/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.16/0.59 fof(f4,axiom,(
% 1.16/0.59 (![X,Y,Z,U,V]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),U),equivalent(equivalent(equivalent(X,V),Z),equivalent(equivalent(Y,V),U)))) ))),
% 1.16/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.16/0.59 fof(f5,negated_conjecture,(
% 1.16/0.59 ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)) ),
% 1.16/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.16/0.59 fof(f6,plain,(
% 1.16/0.59 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 1.16/0.59 inference(miniscoping,[status(thm)],[f1])).
% 1.16/0.59 fof(f7,plain,(
% 1.16/0.59 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 1.16/0.59 inference(cnf_transformation,[status(thm)],[f6])).
% 1.16/0.59 fof(f8,plain,(
% 1.16/0.59 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)))),
% 1.16/0.59 inference(cnf_transformation,[status(thm)],[f2])).
% 1.16/0.59 fof(f9,plain,(
% 1.16/0.59 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)))),
% 1.16/0.59 inference(cnf_transformation,[status(thm)],[f3])).
% 1.16/0.59 fof(f10,plain,(
% 1.16/0.59 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3)))))),
% 1.16/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 1.16/0.59 fof(f11,plain,(
% 1.16/0.59 ~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c))),
% 1.16/0.59 inference(cnf_transformation,[status(thm)],[f5])).
% 1.16/0.59 fof(f15,plain,(
% 1.16/0.59 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3))|is_a_theorem(equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),
% 1.16/0.59 inference(resolution,[status(thm)],[f10,f7])).
% 1.16/0.59 fof(f19,plain,(
% 1.16/0.59 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5))))),
% 1.16/0.59 inference(resolution,[status(thm)],[f15,f9])).
% 1.16/0.59 fof(f20,plain,(
% 1.16/0.59 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4))))),
% 1.16/0.59 inference(resolution,[status(thm)],[f15,f8])).
% 1.16/0.59 fof(f43,plain,(
% 1.16/0.59 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5))|is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))),
% 1.16/0.59 inference(resolution,[status(thm)],[f19,f7])).
% 1.16/0.59 fof(f47,plain,(
% 1.16/0.59 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4))|is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X4)))),
% 1.16/0.59 inference(resolution,[status(thm)],[f20,f7])).
% 1.16/0.59 fof(f155,plain,(
% 1.16/0.59 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),X4),X4)))),
% 1.16/0.59 inference(resolution,[status(thm)],[f43,f9])).
% 1.16/0.59 fof(f1487,plain,(
% 1.16/0.59 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X0)),X2),X2)))),
% 1.16/0.59 inference(resolution,[status(thm)],[f155,f47])).
% 1.16/0.59 fof(f2723,plain,(
% 1.16/0.59 $false),
% 1.16/0.59 inference(backward_subsumption_resolution,[status(thm)],[f11,f1487])).
% 1.16/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 1.16/0.61 % Elapsed time: 0.238249 seconds
% 1.16/0.61 % CPU time: 1.670657 seconds
% 1.16/0.61 % Total memory used: 83.546 MB
% 1.16/0.61 % Net memory used: 79.093 MB
%------------------------------------------------------------------------------