%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL126-1 : 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 : n007.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 01:09:25 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL126-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 % Computer : n007.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 00:04:21 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.49 % Drodi V4.1.1
% 0.19/0.52 % Refutation found
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.52 fof(f1,axiom,(
% 0.19/0.52 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f2,axiom,(
% 0.19/0.52 (![X,Y,Z]: (is_a_theorem(equivalent(X,equivalent(equivalent(X,equivalent(Y,Z)),equivalent(Z,Y)))) ))),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f3,axiom,(
% 0.19/0.52 (![X,Y,Z]: (is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(X,Z),equivalent(Y,Z)))) ))),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f4,negated_conjecture,(
% 0.19/0.52 ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,b)),equivalent(a,c))) ),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f5,plain,(
% 0.19/0.52 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.19/0.52 inference(miniscoping,[status(thm)],[f1])).
% 0.19/0.52 fof(f6,plain,(
% 0.19/0.52 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f5])).
% 0.19/0.52 fof(f7,plain,(
% 0.19/0.52 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)))))),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f2])).
% 0.19/0.52 fof(f8,plain,(
% 0.19/0.52 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))))),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f3])).
% 0.19/0.52 fof(f9,plain,(
% 0.19/0.52 ~is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,b)),equivalent(a,c)))),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f4])).
% 0.19/0.52 fof(f10,plain,(
% 0.19/0.52 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1))))),
% 0.19/0.52 inference(resolution,[status(thm)],[f7,f6])).
% 0.19/0.52 fof(f11,plain,(
% 0.19/0.52 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2))))),
% 0.19/0.52 inference(resolution,[status(thm)],[f8,f6])).
% 0.19/0.52 fof(f12,plain,(
% 0.19/0.52 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2))),equivalent(X3,X4)),equivalent(X4,X3))))),
% 0.19/0.52 inference(resolution,[status(thm)],[f10,f8])).
% 0.19/0.52 fof(f14,plain,(
% 0.19/0.52 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(X0,X3),equivalent(X1,X3)),X2))))),
% 0.19/0.52 inference(resolution,[status(thm)],[f11,f8])).
% 0.19/0.52 fof(f17,plain,(
% 0.19/0.52 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),X2))|is_a_theorem(equivalent(equivalent(equivalent(X0,X3),equivalent(X1,X3)),X2)))),
% 0.19/0.52 inference(resolution,[status(thm)],[f14,f6])).
% 0.19/0.52 fof(f20,plain,(
% 0.19/0.52 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2))),equivalent(X3,X4)))|is_a_theorem(equivalent(X4,X3)))),
% 0.19/0.52 inference(resolution,[status(thm)],[f12,f6])).
% 0.19/0.52 fof(f36,plain,(
% 0.19/0.52 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(equivalent(X0,X3),equivalent(X2,X3)))))),
% 0.19/0.52 inference(resolution,[status(thm)],[f17,f8])).
% 0.19/0.52 fof(f58,plain,(
% 0.19/0.52 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))|is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,X3))))),
% 0.19/0.52 inference(resolution,[status(thm)],[f36,f6])).
% 0.19/0.52 fof(f77,plain,(
% 0.19/0.52 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X0,X1),X2))))),
% 0.19/0.52 inference(resolution,[status(thm)],[f58,f36])).
% 0.19/0.52 fof(f100,plain,(
% 0.19/0.52 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))))),
% 0.19/0.52 inference(resolution,[status(thm)],[f77,f20])).
% 0.19/0.52 fof(f124,plain,(
% 0.19/0.52 $false),
% 0.19/0.52 inference(backward_subsumption_resolution,[status(thm)],[f9,f100])).
% 0.19/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.55 % Elapsed time: 0.067648 seconds
% 0.19/0.55 % CPU time: 0.154555 seconds
% 0.19/0.55 % Total memory used: 16.621 MB
% 0.19/0.55 % Net memory used: 16.438 MB
%------------------------------------------------------------------------------