%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL101-1 : 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 : n015.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 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL101-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 00:08:21 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,axiom,(
% 0.13/0.39 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (![X,Y,Z,U]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z)),U),U)) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (![X,Y,Z,U]: (is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),X))) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,negated_conjecture,(
% 0.13/0.39 ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,plain,(
% 0.13/0.39 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f1])).
% 0.13/0.39 fof(f6,plain,(
% 0.13/0.39 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f7,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f8,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0))))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f9,plain,(
% 0.13/0.39 ~is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f10,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3))|is_a_theorem(X3))),
% 0.13/0.39 inference(resolution,[status(thm)],[f7,f6])).
% 0.13/0.39 fof(f11,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f8,f6])).
% 0.13/0.39 fof(f12,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),equivalent(X4,X5)))))),
% 0.13/0.39 inference(resolution,[status(thm)],[f10,f8])).
% 0.13/0.39 fof(f15,plain,(
% 0.13/0.39 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))))),
% 0.13/0.39 inference(resolution,[status(thm)],[f12,f10])).
% 0.13/0.39 fof(f17,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2)))|is_a_theorem(equivalent(X1,X2)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f15,f6])).
% 0.13/0.39 fof(f19,plain,(
% 0.13/0.39 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))))),
% 0.13/0.39 inference(resolution,[status(thm)],[f17,f12])).
% 0.13/0.39 fof(f20,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,X1),X2))|~is_a_theorem(equivalent(equivalent(equivalent(X3,X0),equivalent(X3,X1)),X2)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f17,f11])).
% 0.13/0.39 fof(f23,plain,(
% 0.13/0.39 ![X0]: (is_a_theorem(equivalent(X0,X0)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f19,f17])).
% 0.13/0.39 fof(f30,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),equivalent(equivalent(X5,X0),equivalent(X5,X1))))))),
% 0.13/0.39 inference(resolution,[status(thm)],[f20,f8])).
% 0.13/0.39 fof(f31,plain,(
% 0.13/0.39 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))))),
% 0.13/0.39 inference(resolution,[status(thm)],[f20,f23])).
% 0.13/0.39 fof(f34,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X2,X1))))),
% 0.13/0.39 inference(resolution,[status(thm)],[f31,f6])).
% 0.13/0.39 fof(f41,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(X2,X0))|is_a_theorem(equivalent(X2,X1)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f34,f6])).
% 0.13/0.40 fof(f43,plain,(
% 0.13/0.40 ![X0]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))|~is_a_theorem(equivalent(equivalent(equivalent(a,b),c),X0)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f41,f9])).
% 0.13/0.40 fof(f118,plain,(
% 0.13/0.40 ![X0]: (~is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(X0,equivalent(e,b)),equivalent(X0,equivalent(equivalent(a,e),c))))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f43,f15])).
% 0.13/0.40 fof(f126,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(resolution,[status(thm)],[f118,f30])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.053967 seconds
% 0.13/0.42 % CPU time: 0.201788 seconds
% 0.13/0.42 % Total memory used: 57.981 MB
% 0.13/0.42 % Net memory used: 57.363 MB
%------------------------------------------------------------------------------