%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL104-1 : 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 : n012.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 0.03s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL104-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 00:04:38 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.03/0.35 % Refutation found
% 0.03/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.35 fof(f1,axiom,(
% 0.03/0.35 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.03/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.35 fof(f2,axiom,(
% 0.03/0.35 (![X,Y,Z,U]: (is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),X))) ))),
% 0.03/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.35 fof(f3,axiom,(
% 0.03/0.35 (![X,Y,Z]: (is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(Y,X),Z)),Z)) ))),
% 0.03/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.35 fof(f4,negated_conjecture,(
% 0.03/0.35 ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))) ),
% 0.03/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.35 fof(f5,plain,(
% 0.03/0.35 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.03/0.35 inference(miniscoping,[status(thm)],[f1])).
% 0.03/0.35 fof(f6,plain,(
% 0.03/0.35 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.03/0.35 inference(cnf_transformation,[status(thm)],[f5])).
% 0.03/0.35 fof(f7,plain,(
% 0.03/0.35 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0))))),
% 0.03/0.35 inference(cnf_transformation,[status(thm)],[f2])).
% 0.03/0.35 fof(f8,plain,(
% 0.03/0.35 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)),X2)))),
% 0.03/0.35 inference(cnf_transformation,[status(thm)],[f3])).
% 0.03/0.35 fof(f9,plain,(
% 0.03/0.35 ~is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),
% 0.03/0.35 inference(cnf_transformation,[status(thm)],[f4])).
% 0.03/0.35 fof(f10,plain,(
% 0.03/0.35 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)))|is_a_theorem(X2))),
% 0.03/0.35 inference(resolution,[status(thm)],[f8,f6])).
% 0.03/0.35 fof(f11,plain,(
% 0.03/0.35 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))))),
% 0.03/0.35 inference(resolution,[status(thm)],[f7,f10])).
% 0.03/0.35 fof(f12,plain,(
% 0.03/0.35 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0)))),
% 0.03/0.35 inference(resolution,[status(thm)],[f7,f6])).
% 0.03/0.35 fof(f14,plain,(
% 0.03/0.35 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X2,X1))))),
% 0.03/0.35 inference(resolution,[status(thm)],[f11,f6])).
% 0.03/0.35 fof(f16,plain,(
% 0.03/0.35 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(X2,X0))|is_a_theorem(equivalent(X2,X1)))),
% 0.03/0.35 inference(resolution,[status(thm)],[f14,f6])).
% 0.03/0.35 fof(f17,plain,(
% 0.03/0.35 ![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)))),
% 0.03/0.35 inference(resolution,[status(thm)],[f16,f9])).
% 0.03/0.35 fof(f18,plain,(
% 0.03/0.35 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X3)))|~is_a_theorem(equivalent(equivalent(X2,X1),X0))|is_a_theorem(X3))),
% 0.03/0.35 inference(resolution,[status(thm)],[f16,f10])).
% 0.03/0.35 fof(f26,plain,(
% 0.03/0.35 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1))),X3))|is_a_theorem(X3))),
% 0.03/0.35 inference(resolution,[status(thm)],[f12,f10])).
% 0.03/0.35 fof(f30,plain,(
% 0.03/0.35 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),X0),equivalent(X2,X1)),X3)))|is_a_theorem(X3))),
% 0.03/0.35 inference(resolution,[status(thm)],[f18,f8])).
% 0.03/0.35 fof(f41,plain,(
% 0.03/0.35 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(equivalent(X3,X1),equivalent(X3,X2))))))),
% 0.03/0.35 inference(resolution,[status(thm)],[f26,f11])).
% 0.03/0.35 fof(f42,plain,(
% 0.03/0.35 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,X1),X2))|~is_a_theorem(equivalent(equivalent(equivalent(X3,X0),equivalent(X3,X1)),X2)))),
% 0.03/0.35 inference(resolution,[status(thm)],[f26,f14])).
% 0.03/0.35 fof(f46,plain,(
% 0.03/0.35 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,equivalent(X3,X0)),equivalent(X2,equivalent(X3,X1))))))),
% 0.03/0.35 inference(resolution,[status(thm)],[f41,f26])).
% 0.03/0.35 fof(f114,plain,(
% 0.03/0.35 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X3)))|~is_a_theorem(equivalent(equivalent(X2,X1),X3)))),
% 0.03/0.35 inference(resolution,[status(thm)],[f42,f14])).
% 0.03/0.35 fof(f124,plain,(
% 0.03/0.35 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))))),
% 0.03/0.35 inference(resolution,[status(thm)],[f46,f30])).
% 0.03/0.35 fof(f165,plain,(
% 0.03/0.35 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(a,b),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),
% 0.03/0.35 inference(resolution,[status(thm)],[f17,f7])).
% 0.03/0.35 fof(f278,plain,(
% 0.03/0.35 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(equivalent(X1,X3),X0),equivalent(X3,X2)))))),
% 0.03/0.35 inference(resolution,[status(thm)],[f114,f124])).
% 0.03/0.35 fof(f377,plain,(
% 0.03/0.35 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,X3)),equivalent(X2,equivalent(X0,X3)))))),
% 0.03/0.35 inference(resolution,[status(thm)],[f278,f26])).
% 0.03/0.35 fof(f712,plain,(
% 0.03/0.35 $false),
% 0.03/0.35 inference(resolution,[status(thm)],[f377,f165])).
% 0.03/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.36 % Elapsed time: 0.060889 seconds
% 0.07/0.36 % CPU time: 0.293499 seconds
% 0.07/0.36 % Total memory used: 65.436 MB
% 0.07/0.36 % Net memory used: 63.918 MB
%------------------------------------------------------------------------------