%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL102-1 : 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 : n017.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 55.67s 12.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL102-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n017.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Mon Sep 21 00:00:17 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 % Drodi V4.1.1
% 55.67/12.47 % Refutation found
% 55.67/12.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 55.67/12.47 % SZS output start CNFRefutation for theBenchmark
% 55.67/12.47 fof(f1,axiom,(
% 55.67/12.47 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 55.67/12.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 55.67/12.47 fof(f2,axiom,(
% 55.67/12.47 (![X,Y,Z,U]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z)),U),U)) ))),
% 55.67/12.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 55.67/12.47 fof(f3,axiom,(
% 55.67/12.47 (![X,Y,Z]: (is_a_theorem(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,Y),X)))) ))),
% 55.67/12.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 55.67/12.47 fof(f4,axiom,(
% 55.67/12.47 (![X,Y,Z]: (is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,X),equivalent(Z,Y)))) ))),
% 55.67/12.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 55.67/12.47 fof(f5,negated_conjecture,(
% 55.67/12.47 ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))) ),
% 55.67/12.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 55.67/12.47 fof(f6,plain,(
% 55.67/12.47 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 55.67/12.47 inference(miniscoping,[status(thm)],[f1])).
% 55.67/12.47 fof(f7,plain,(
% 55.67/12.47 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 55.67/12.47 inference(cnf_transformation,[status(thm)],[f6])).
% 55.67/12.47 fof(f8,plain,(
% 55.67/12.47 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)))),
% 55.67/12.47 inference(cnf_transformation,[status(thm)],[f2])).
% 55.67/12.47 fof(f9,plain,(
% 55.67/12.47 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0)))))),
% 55.67/12.47 inference(cnf_transformation,[status(thm)],[f3])).
% 55.67/12.47 fof(f10,plain,(
% 55.67/12.47 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))))),
% 55.67/12.47 inference(cnf_transformation,[status(thm)],[f4])).
% 55.67/12.47 fof(f11,plain,(
% 55.67/12.47 ~is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),
% 55.67/12.47 inference(cnf_transformation,[status(thm)],[f5])).
% 55.67/12.47 fof(f12,plain,(
% 55.67/12.47 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3))|is_a_theorem(X3))),
% 55.67/12.47 inference(resolution,[status(thm)],[f8,f7])).
% 55.67/12.47 fof(f15,plain,(
% 55.67/12.47 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X2,X3)))))),
% 55.67/12.47 inference(resolution,[status(thm)],[f10,f12])).
% 55.67/12.47 fof(f16,plain,(
% 55.67/12.47 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X2,X1))))),
% 55.67/12.47 inference(resolution,[status(thm)],[f10,f7])).
% 55.67/12.47 fof(f20,plain,(
% 55.67/12.47 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(X2,X0))|is_a_theorem(equivalent(X2,X1)))),
% 55.67/12.47 inference(resolution,[status(thm)],[f16,f7])).
% 55.67/12.47 fof(f24,plain,(
% 55.67/12.47 ![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)))),
% 55.67/12.47 inference(resolution,[status(thm)],[f20,f11])).
% 55.67/12.47 fof(f43,plain,(
% 55.67/12.47 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))))|is_a_theorem(equivalent(X0,equivalent(X2,X3))))),
% 55.67/12.47 inference(resolution,[status(thm)],[f15,f7])).
% 55.67/12.47 fof(f71,plain,(
% 55.67/12.47 ![X0,X1]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),equivalent(equivalent(a,b),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),
% 55.67/12.47 inference(resolution,[status(thm)],[f24,f9])).
% 55.67/12.47 fof(f115,plain,(
% 55.67/12.47 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(X3,X4),equivalent(X3,X5))),equivalent(X4,X5))))),
% 55.67/12.47 inference(resolution,[status(thm)],[f43,f8])).
% 55.67/12.47 fof(f306,plain,(
% 55.67/12.47 ~is_a_theorem(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(a,b),c)),equivalent(equivalent(a,e),c)))),
% 55.67/12.47 inference(resolution,[status(thm)],[f71,f16])).
% 55.67/12.47 fof(f363,plain,(
% 55.67/12.49 ![X0]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(a,e),c)))|~is_a_theorem(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(a,b),c)),X0)))),
% 55.67/12.49 inference(resolution,[status(thm)],[f306,f20])).
% 55.67/12.49 fof(f1537,plain,(
% 55.67/12.49 ![X0]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(b,e)),equivalent(X0,equivalent(equivalent(a,b),c))),equivalent(equivalent(a,e),c))))),
% 55.67/12.49 inference(resolution,[status(thm)],[f363,f10])).
% 55.67/12.49 fof(f4322,plain,(
% 55.67/12.49 $false),
% 55.67/12.49 inference(resolution,[status(thm)],[f1537,f115])).
% 55.67/12.49 % SZS output end CNFRefutation for theBenchmark.p
% 12.53/12.53 % Elapsed time: 7.146221 seconds
% 12.53/12.53 % CPU time: 56.502845 seconds
% 12.53/12.53 % Total memory used: 375.899 MB
% 12.53/12.53 % Net memory used: 318.702 MB
%------------------------------------------------------------------------------