%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL131-1 : 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 : n001.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 6.87s 1.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL131-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n001.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Mon Sep 21 00:12:13 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 % Drodi V4.1.1
% 6.87/1.49 % Refutation found
% 6.87/1.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.87/1.49 % SZS output start CNFRefutation for theBenchmark
% 6.87/1.49 fof(f1,axiom,(
% 6.87/1.49 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 6.87/1.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.87/1.49 fof(f2,axiom,(
% 6.87/1.49 (![X,Y,Z,U]: (is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),X)) ))),
% 6.87/1.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.87/1.49 fof(f3,negated_conjecture,(
% 6.87/1.49 ~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))) ),
% 6.87/1.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.87/1.49 fof(f4,plain,(
% 6.87/1.49 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 6.87/1.49 inference(miniscoping,[status(thm)],[f1])).
% 6.87/1.49 fof(f5,plain,(
% 6.87/1.49 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 6.87/1.49 inference(cnf_transformation,[status(thm)],[f4])).
% 6.87/1.49 fof(f6,plain,(
% 6.87/1.49 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),X0)))),
% 6.87/1.49 inference(cnf_transformation,[status(thm)],[f2])).
% 6.87/1.49 fof(f7,plain,(
% 6.87/1.49 ~is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),
% 6.87/1.49 inference(cnf_transformation,[status(thm)],[f3])).
% 6.87/1.49 fof(f8,plain,(
% 6.87/1.49 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))))|is_a_theorem(X0))),
% 6.87/1.49 inference(resolution,[status(thm)],[f6,f5])).
% 6.87/1.49 fof(f9,plain,(
% 6.87/1.49 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2)),equivalent(equivalent(equivalent(X3,X4),equivalent(X5,X4)),equivalent(X3,X5)))))),
% 6.87/1.49 inference(resolution,[status(thm)],[f8,f6])).
% 6.87/1.49 fof(f10,plain,(
% 6.87/1.49 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))))),
% 6.87/1.49 inference(resolution,[status(thm)],[f9,f8])).
% 6.87/1.49 fof(f19,plain,(
% 6.87/1.49 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3),equivalent(equivalent(X0,X2),X3))))),
% 6.87/1.49 inference(resolution,[status(thm)],[f10,f8])).
% 6.87/1.49 fof(f20,plain,(
% 6.87/1.49 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))|is_a_theorem(equivalent(X0,X2)))),
% 6.87/1.49 inference(resolution,[status(thm)],[f10,f5])).
% 6.87/1.49 fof(f23,plain,(
% 6.87/1.49 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),X2)),equivalent(X0,X3))))),
% 6.87/1.49 inference(resolution,[status(thm)],[f19,f8])).
% 6.87/1.49 fof(f24,plain,(
% 6.87/1.49 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3))|is_a_theorem(equivalent(equivalent(X0,X2),X3)))),
% 6.87/1.49 inference(resolution,[status(thm)],[f19,f5])).
% 6.87/1.49 fof(f25,plain,(
% 6.87/1.49 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(equivalent(X0,X3),equivalent(X2,X3)))))),
% 6.87/1.49 inference(resolution,[status(thm)],[f20,f9])).
% 6.87/1.49 fof(f29,plain,(
% 6.87/1.49 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),X2)))|is_a_theorem(equivalent(X0,X3)))),
% 6.87/1.49 inference(resolution,[status(thm)],[f23,f5])).
% 6.87/1.49 fof(f32,plain,(
% 6.87/1.49 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))))),
% 6.87/1.49 inference(resolution,[status(thm)],[f24,f10])).
% 6.87/1.49 fof(f33,plain,(
% 6.87/1.49 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),equivalent(X0,equivalent(X1,X3)))))),
% 6.87/1.49 inference(resolution,[status(thm)],[f24,f6])).
% 6.87/1.49 fof(f34,plain,(
% 6.87/1.49 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))))),
% 6.87/1.49 inference(resolution,[status(thm)],[f32,f24])).
% 6.87/1.49 fof(f35,plain,(
% 6.87/1.49 ![X0]: (is_a_theorem(equivalent(X0,X0)))),
% 6.87/1.49 inference(resolution,[status(thm)],[f32,f20])).
% 6.87/1.49 fof(f43,plain,(
% 6.87/1.49 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2))))),
% 6.87/1.49 inference(resolution,[status(thm)],[f34,f5])).
% 6.87/1.50 fof(f46,plain,(
% 6.87/1.50 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))|is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,X3))))),
% 6.87/1.50 inference(resolution,[status(thm)],[f25,f5])).
% 6.87/1.50 fof(f60,plain,(
% 6.87/1.50 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(X0,X2))|is_a_theorem(equivalent(X1,X2)))),
% 6.87/1.50 inference(resolution,[status(thm)],[f43,f5])).
% 6.87/1.50 fof(f64,plain,(
% 6.87/1.50 ![X0]: (~is_a_theorem(equivalent(X0,a))|~is_a_theorem(equivalent(X0,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))),
% 6.87/1.50 inference(resolution,[status(thm)],[f60,f7])).
% 6.87/1.50 fof(f124,plain,(
% 6.87/1.50 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3)))))),
% 6.87/1.50 inference(resolution,[status(thm)],[f33,f24])).
% 6.87/1.50 fof(f301,plain,(
% 6.87/1.50 ![X0,X1]: (is_a_theorem(equivalent(X0,equivalent(X0,equivalent(X1,X1)))))),
% 6.87/1.50 inference(resolution,[status(thm)],[f124,f29])).
% 6.87/1.50 fof(f545,plain,(
% 6.87/1.50 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(X1,X0)))),
% 6.87/1.50 inference(resolution,[status(thm)],[f60,f35])).
% 6.87/1.50 fof(f550,plain,(
% 6.87/1.50 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0)))),
% 6.87/1.50 inference(resolution,[status(thm)],[f545,f301])).
% 6.87/1.50 fof(f563,plain,(
% 6.87/1.50 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X2))|is_a_theorem(equivalent(X2,X0)))),
% 6.87/1.50 inference(resolution,[status(thm)],[f550,f60])).
% 6.87/1.50 fof(f837,plain,(
% 6.87/1.50 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),X4),equivalent(X0,X4))))),
% 6.87/1.50 inference(resolution,[status(thm)],[f46,f6])).
% 6.87/1.50 fof(f1733,plain,(
% 6.87/1.50 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X0)))),
% 6.87/1.50 inference(resolution,[status(thm)],[f124,f563])).
% 6.87/1.50 fof(f1917,plain,(
% 6.87/1.50 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a)))),
% 6.87/1.50 inference(resolution,[status(thm)],[f837,f64])).
% 6.87/1.50 fof(f3312,plain,(
% 6.87/1.50 $false),
% 6.87/1.50 inference(resolution,[status(thm)],[f1733,f1917])).
% 6.87/1.50 % SZS output end CNFRefutation for theBenchmark.p
% 6.87/1.52 % Elapsed time: 1.091385 seconds
% 6.87/1.52 % CPU time: 8.368194 seconds
% 6.87/1.52 % Total memory used: 111.390 MB
% 6.87/1.52 % Net memory used: 100.826 MB
%------------------------------------------------------------------------------