%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL118-1 : 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 : n026.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 01:09:24 PM UTC 2026
% Result : Unsatisfiable 0.95s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL118-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 00:08:51 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.95/0.58 % Refutation found
% 0.95/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.95/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.95/0.58 fof(f1,axiom,(
% 0.95/0.58 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.95/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.95/0.58 fof(f2,axiom,(
% 0.95/0.58 (![X,Y,Z]: (is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(Z,equivalent(Y,X)))) ))),
% 0.95/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.95/0.58 fof(f3,negated_conjecture,(
% 0.95/0.58 ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))) ),
% 0.95/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.95/0.58 fof(f4,plain,(
% 0.95/0.58 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.95/0.58 inference(miniscoping,[status(thm)],[f1])).
% 0.95/0.58 fof(f5,plain,(
% 0.95/0.58 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.95/0.58 inference(cnf_transformation,[status(thm)],[f4])).
% 0.95/0.58 fof(f6,plain,(
% 0.95/0.58 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,equivalent(X1,X0)))))),
% 0.95/0.58 inference(cnf_transformation,[status(thm)],[f2])).
% 0.95/0.58 fof(f7,plain,(
% 0.95/0.58 ~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))))),
% 0.95/0.58 inference(cnf_transformation,[status(thm)],[f3])).
% 0.95/0.58 fof(f8,plain,(
% 0.95/0.58 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,equivalent(X1,X2)))|is_a_theorem(equivalent(X2,equivalent(X1,X0))))),
% 0.95/0.58 inference(resolution,[status(thm)],[f6,f5])).
% 0.95/0.58 fof(f9,plain,(
% 0.95/0.58 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,equivalent(X0,X2))))))),
% 0.95/0.58 inference(resolution,[status(thm)],[f8,f6])).
% 0.95/0.58 fof(f11,plain,(
% 0.95/0.58 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(X2,equivalent(X1,equivalent(X0,X2)))))),
% 0.95/0.58 inference(resolution,[status(thm)],[f9,f5])).
% 0.95/0.58 fof(f12,plain,(
% 0.95/0.58 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(X3,equivalent(X2,X1)),X0)))))),
% 0.95/0.58 inference(resolution,[status(thm)],[f11,f6])).
% 0.95/0.58 fof(f13,plain,(
% 0.95/0.58 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,equivalent(X3,X1))),equivalent(equivalent(X3,X2),X0)))))),
% 0.95/0.58 inference(resolution,[status(thm)],[f11,f9])).
% 0.95/0.58 fof(f14,plain,(
% 0.95/0.58 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X3),equivalent(equivalent(X2,equivalent(X1,X0)),X3))))),
% 0.95/0.58 inference(resolution,[status(thm)],[f12,f8])).
% 0.95/0.58 fof(f17,plain,(
% 0.95/0.58 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,equivalent(X1,equivalent(X0,X3))),X2))))),
% 0.95/0.58 inference(resolution,[status(thm)],[f13,f8])).
% 0.95/0.58 fof(f22,plain,(
% 0.95/0.58 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X3))|is_a_theorem(equivalent(equivalent(X2,equivalent(X1,X0)),X3)))),
% 0.95/0.58 inference(resolution,[status(thm)],[f14,f5])).
% 0.95/0.58 fof(f28,plain,(
% 0.95/0.58 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),X2))|is_a_theorem(equivalent(equivalent(X3,equivalent(X1,equivalent(X0,X3))),X2)))),
% 0.95/0.58 inference(resolution,[status(thm)],[f17,f5])).
% 0.95/0.58 fof(f32,plain,(
% 0.95/0.58 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,X4)))|is_a_theorem(equivalent(X4,equivalent(X3,equivalent(X2,equivalent(X1,X0))))))),
% 0.95/0.58 inference(resolution,[status(thm)],[f22,f8])).
% 0.95/0.58 fof(f44,plain,(
% 0.95/0.58 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),X2))|~is_a_theorem(equivalent(X3,equivalent(X1,equivalent(X0,X3))))|is_a_theorem(X2))),
% 0.95/0.58 inference(resolution,[status(thm)],[f28,f5])).
% 0.95/0.58 fof(f80,plain,(
% 0.95/0.58 ![X0,X1]: (~is_a_theorem(equivalent(equivalent(X0,X0),X1))|is_a_theorem(X1))),
% 0.95/0.58 inference(resolution,[status(thm)],[f44,f9])).
% 0.95/0.58 fof(f89,plain,(
% 0.95/0.58 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X0))),equivalent(X2,X1))))),
% 0.95/0.58 inference(resolution,[status(thm)],[f80,f17])).
% 0.95/0.58 fof(f91,plain,(
% 0.95/0.58 ![X0,X1]: (is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,X0)))))),
% 0.95/0.58 inference(resolution,[status(thm)],[f80,f6])).
% 0.95/0.58 fof(f106,plain,(
% 0.95/0.58 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X1,X2)),equivalent(X2,X0)))))),
% 0.95/0.59 inference(resolution,[status(thm)],[f91,f11])).
% 0.95/0.59 fof(f107,plain,(
% 0.95/0.59 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(equivalent(X1,equivalent(X1,X0))))),
% 0.95/0.59 inference(resolution,[status(thm)],[f91,f5])).
% 0.95/0.59 fof(f124,plain,(
% 0.95/0.59 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(X1,X1),X0)))),
% 0.95/0.59 inference(resolution,[status(thm)],[f107,f80])).
% 0.95/0.59 fof(f146,plain,(
% 0.95/0.59 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(X1,equivalent(X0,equivalent(X2,X2)))))),
% 0.95/0.59 inference(resolution,[status(thm)],[f124,f8])).
% 0.95/0.59 fof(f159,plain,(
% 0.95/0.59 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X0))))|is_a_theorem(equivalent(X2,X1)))),
% 0.95/0.59 inference(resolution,[status(thm)],[f89,f5])).
% 0.95/0.59 fof(f190,plain,(
% 0.95/0.59 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),equivalent(X1,equivalent(X2,X2)))))),
% 0.95/0.59 inference(resolution,[status(thm)],[f106,f80])).
% 0.95/0.59 fof(f484,plain,(
% 0.95/0.59 ![X0,X1]: (is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(X1,X0)))),
% 0.95/0.59 inference(resolution,[status(thm)],[f159,f146])).
% 0.95/0.59 fof(f496,plain,(
% 0.95/0.59 ~is_a_theorem(equivalent(equivalent(equivalent(c,b),equivalent(c,a)),equivalent(a,b)))),
% 0.95/0.59 inference(resolution,[status(thm)],[f484,f7])).
% 0.95/0.59 fof(f768,plain,(
% 0.95/0.59 ~is_a_theorem(equivalent(equivalent(a,equivalent(c,equivalent(c,b))),equivalent(a,b)))),
% 0.95/0.59 inference(resolution,[status(thm)],[f496,f22])).
% 0.95/0.59 fof(f1106,plain,(
% 0.95/0.59 ~is_a_theorem(equivalent(equivalent(a,b),equivalent(a,equivalent(c,equivalent(c,b)))))),
% 0.95/0.59 inference(resolution,[status(thm)],[f768,f484])).
% 0.95/0.59 fof(f1112,plain,(
% 0.95/0.59 ~is_a_theorem(equivalent(equivalent(b,equivalent(c,c)),equivalent(a,equivalent(a,b))))),
% 0.95/0.59 inference(resolution,[status(thm)],[f1106,f32])).
% 0.95/0.59 fof(f1121,plain,(
% 0.95/0.59 ~is_a_theorem(equivalent(equivalent(a,equivalent(a,b)),equivalent(b,equivalent(c,c))))),
% 0.95/0.59 inference(resolution,[status(thm)],[f1112,f484])).
% 0.95/0.59 fof(f1123,plain,(
% 0.95/0.59 $false),
% 0.95/0.59 inference(forward_subsumption_resolution,[status(thm)],[f1121,f190])).
% 0.95/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.95/0.60 % Elapsed time: 0.241946 seconds
% 0.95/0.60 % CPU time: 1.678141 seconds
% 0.95/0.60 % Total memory used: 88.315 MB
% 0.95/0.60 % Net memory used: 83.047 MB
%------------------------------------------------------------------------------