%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYO656-1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 03:44:43 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO656-1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n013.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 12:07:21 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.12/0.50 % Refutation found
% 0.12/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.50 fof(f6,axiom,(
% 0.12/0.50 (![B_25,B_26,E,B_27,B_24,A_1,B_28]: (( ~ iLEQ(suc(B_25),suc(B_26))| ~ 'E'('0',f(suc(B_25)))| ~ 'E'('0',f(suc(B_27)))| ~ iLEQ(suc(B_24),suc(B_25))| ~ 'E'('0',f(suc(A_1)))| ~ 'E'('0',f(A_1))| ~ 'E'('0',f(suc(B_26)))| ~ 'E'('0',f(B_28))| ~ iLEQ(suc(A_1),suc(B_24))| ~ iLEQ(suc(B_26),suc(B_27))| ~ 'E'('0',f(B_26))| ~ 'E'('0',f(suc(B_24)))| ~ 'E'('0',f(B_24))| ~ 'E'('0',f(suc(B_28)))| ~ 'E'('0',f(B_27))| ~ 'E'('0',f(B_25))| ~ iLEQ(suc(B_27),suc(B_28))| 'E'(f(B_24),f(suc(B_24)))| 'E'(f(B_26),f(suc(B_26)))| 'E'(f(B_27),f(suc(B_27)))| 'E'(f(B_25),f(suc(B_25)))| 'E'(f(A_1),f(suc(A_1)))| 'E'(f(B_28),f(suc(B_28))) ) ))),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f10,axiom,(
% 0.12/0.50 (![E,A_1]: (( ~ 'E'('0',f(A_1))| ~ 'E'('0',f(suc(A_1)))| 'E'(f(A_1),f(suc(A_1)))| iLEQ(suc(A_1),suc(A_1)) ) ))),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f13,axiom,(
% 0.12/0.50 (![LE]: (~ 'LE'(f(z),'0') ))),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f15,axiom,(
% 0.12/0.50 (![LE,B_23,E]: (( ~ 'LE'(f(suc(suc(B_23))),s('0'))| 'E'('0',f(suc(suc(B_23))))| 'LE'(f(B_23),'0') ) ))),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f36,axiom,(
% 0.12/0.50 (![E,B_28,B_25,B_26,B_27,B_24,A_1]: (( ~ 'E'('0',f(suc(suc(B_28))))| ~ iLEQ(suc(B_25),suc(B_26))| ~ 'E'('0',f(suc(B_25)))| ~ 'E'('0',f(suc(B_27)))| ~ iLEQ(suc(B_24),suc(B_25))| ~ 'E'(f(B_24),f(suc(B_24)))| ~ 'E'('0',f(suc(suc(B_24))))| ~ 'E'('0',f(suc(A_1)))| ~ 'E'(f(B_26),f(suc(B_26)))| ~ 'E'('0',f(suc(suc(A_1))))| ~ 'E'('0',f(suc(suc(B_25))))| ~ 'E'('0',f(A_1))| ~ 'E'('0',f(suc(B_26)))| ~ 'E'('0',f(B_28))| ~ iLEQ(suc(A_1),suc(B_24))| ~ 'E'(f(B_27),f(suc(B_27)))| ~ iLEQ(suc(B_26),suc(B_27))| ~ 'E'(f(B_25),f(suc(B_25)))| ~ 'E'('0',f(suc(suc(B_27))))| ~ 'E'(f(A_1),f(suc(A_1)))| ~ 'E'('0',f(B_26))| ~ 'E'(f(B_28),f(suc(B_28)))| ~ 'E'('0',f(suc(B_24)))| ~ 'E'('0',f(B_24))| ~ 'E'('0',f(suc(B_28)))| ~ 'E'('0',f(B_27))| ~ 'E'('0',f(suc(suc(B_26))))| ~ 'E'('0',f(B_25))| ~ iLEQ(suc(B_27),suc(B_28)) ) ))),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f46,axiom,(
% 0.12/0.50 (![LE,B_23,E]: (( ~ 'LE'(f(suc(B_23)),s('0'))| 'E'('0',f(suc(B_23)))| 'LE'(f(B_23),'0') ) ))),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f63,axiom,(
% 0.12/0.50 (![LE,B_23,E]: (( ~ 'LE'(f(B_23),s('0'))| 'E'('0',f(B_23))| 'LE'(f(B_23),'0') ) ))),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f65,axiom,(
% 0.12/0.50 (![LE,A]: ('LE'(f(A),s('0')) ))),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f70,axiom,(
% 0.12/0.50 (![E,A_1]: (( ~ 'E'('0',f(suc(suc(A_1))))| ~ 'E'('0',f(suc(A_1)))| ~ 'E'(f(A_1),f(suc(A_1)))| ~ 'E'('0',f(A_1))| iLEQ(suc(A_1),suc(A_1)) ) ))),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f82,plain,(
% 0.12/0.50 ![B_28]: ((![A_1]: ((![B_25]: ((![B_27]: ((![B_26]: ((![B_24]: (((((((((((((((((~iLEQ(suc(B_25),suc(B_26))|~'E'('0',f(suc(B_25))))|~'E'('0',f(suc(B_27))))|~iLEQ(suc(B_24),suc(B_25)))|~'E'('0',f(suc(A_1))))|~'E'('0',f(A_1)))|~'E'('0',f(suc(B_26))))|~'E'('0',f(B_28)))|~iLEQ(suc(A_1),suc(B_24)))|~iLEQ(suc(B_26),suc(B_27)))|~'E'('0',f(B_26)))|~'E'('0',f(suc(B_24))))|~'E'('0',f(B_24)))|~'E'('0',f(suc(B_28))))|~'E'('0',f(B_27)))|~'E'('0',f(B_25)))|~iLEQ(suc(B_27),suc(B_28)))|'E'(f(B_24),f(suc(B_24)))))|'E'(f(B_26),f(suc(B_26)))))|'E'(f(B_27),f(suc(B_27)))))|'E'(f(B_25),f(suc(B_25)))))|'E'(f(A_1),f(suc(A_1)))))|'E'(f(B_28),f(suc(B_28))))),
% 0.12/0.50 inference(miniscoping,[status(thm)],[f6])).
% 0.12/0.50 fof(f83,plain,(
% 0.12/0.50 ![X0,X1,E,X2,X3,X4,X5]: (~iLEQ(suc(X0),suc(X1))|~'E'('0',f(suc(X0)))|~'E'('0',f(suc(X2)))|~iLEQ(suc(X3),suc(X0))|~'E'('0',f(suc(X4)))|~'E'('0',f(X4))|~'E'('0',f(suc(X1)))|~'E'('0',f(X5))|~iLEQ(suc(X4),suc(X3))|~iLEQ(suc(X1),suc(X2))|~'E'('0',f(X1))|~'E'('0',f(suc(X3)))|~'E'('0',f(X3))|~'E'('0',f(suc(X5)))|~'E'('0',f(X2))|~'E'('0',f(X0))|~iLEQ(suc(X2),suc(X5))|'E'(f(X3),f(suc(X3)))|'E'(f(X1),f(suc(X1)))|'E'(f(X2),f(suc(X2)))|'E'(f(X0),f(suc(X0)))|'E'(f(X4),f(suc(X4)))|'E'(f(X5),f(suc(X5))))),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f82])).
% 0.12/0.50 fof(f90,plain,(
% 0.12/0.50 ![A_1]: (((~'E'('0',f(A_1))|~'E'('0',f(suc(A_1))))|'E'(f(A_1),f(suc(A_1))))|iLEQ(suc(A_1),suc(A_1)))),
% 0.12/0.50 inference(miniscoping,[status(thm)],[f10])).
% 0.12/0.50 fof(f91,plain,(
% 0.12/0.50 ![E,X0]: (~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f90])).
% 0.12/0.50 fof(f96,plain,(
% 0.12/0.50 ![LE]: (~'LE'(f(z),'0'))),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.50 fof(f99,plain,(
% 0.12/0.50 ![B_23]: ((~'LE'(f(suc(suc(B_23))),s('0'))|'E'('0',f(suc(suc(B_23)))))|'LE'(f(B_23),'0'))),
% 0.12/0.50 inference(miniscoping,[status(thm)],[f15])).
% 0.12/0.50 fof(f100,plain,(
% 0.12/0.50 ![LE,X0,E]: (~'LE'(f(suc(suc(X0))),s('0'))|'E'('0',f(suc(suc(X0))))|'LE'(f(X0),'0'))),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f99])).
% 0.12/0.50 fof(f141,plain,(
% 0.12/0.50 ![B_28,B_27]: ((![B_25]: ((![B_26]: ((((![B_24]: (((((![A_1]: (((((((((((((((((((~'E'('0',f(suc(suc(B_28))))|~iLEQ(suc(B_25),suc(B_26)))|~'E'('0',f(suc(B_25))))|~'E'('0',f(suc(B_27))))|~iLEQ(suc(B_24),suc(B_25)))|~'E'(f(B_24),f(suc(B_24))))|~'E'('0',f(suc(suc(B_24)))))|~'E'('0',f(suc(A_1))))|~'E'(f(B_26),f(suc(B_26))))|~'E'('0',f(suc(suc(A_1)))))|~'E'('0',f(suc(suc(B_25)))))|~'E'('0',f(A_1)))|~'E'('0',f(suc(B_26))))|~'E'('0',f(B_28)))|~iLEQ(suc(A_1),suc(B_24)))|~'E'(f(B_27),f(suc(B_27))))|~iLEQ(suc(B_26),suc(B_27)))|~'E'(f(B_25),f(suc(B_25))))|~'E'('0',f(suc(suc(B_27)))))|~'E'(f(A_1),f(suc(A_1)))))|~'E'('0',f(B_26)))|~'E'(f(B_28),f(suc(B_28))))|~'E'('0',f(suc(B_24))))|~'E'('0',f(B_24))))|~'E'('0',f(suc(B_28))))|~'E'('0',f(B_27)))|~'E'('0',f(suc(suc(B_26))))))|~'E'('0',f(B_25))))|~iLEQ(suc(B_27),suc(B_28)))),
% 0.12/0.50 inference(miniscoping,[status(thm)],[f36])).
% 0.12/0.50 fof(f142,plain,(
% 0.12/0.50 ![E,X0,X1,X2,X3,X4,X5]: (~'E'('0',f(suc(suc(X0))))|~iLEQ(suc(X1),suc(X2))|~'E'('0',f(suc(X1)))|~'E'('0',f(suc(X3)))|~iLEQ(suc(X4),suc(X1))|~'E'(f(X4),f(suc(X4)))|~'E'('0',f(suc(suc(X4))))|~'E'('0',f(suc(X5)))|~'E'(f(X2),f(suc(X2)))|~'E'('0',f(suc(suc(X5))))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(X5))|~'E'('0',f(suc(X2)))|~'E'('0',f(X0))|~iLEQ(suc(X5),suc(X4))|~'E'(f(X3),f(suc(X3)))|~iLEQ(suc(X2),suc(X3))|~'E'(f(X1),f(suc(X1)))|~'E'('0',f(suc(suc(X3))))|~'E'(f(X5),f(suc(X5)))|~'E'('0',f(X2))|~'E'(f(X0),f(suc(X0)))|~'E'('0',f(suc(X4)))|~'E'('0',f(X4))|~'E'('0',f(suc(X0)))|~'E'('0',f(X3))|~'E'('0',f(suc(suc(X2))))|~'E'('0',f(X1))|~iLEQ(suc(X3),suc(X0)))),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f141])).
% 0.12/0.50 fof(f161,plain,(
% 0.12/0.50 ![B_23]: ((~'LE'(f(suc(B_23)),s('0'))|'E'('0',f(suc(B_23))))|'LE'(f(B_23),'0'))),
% 0.12/0.50 inference(miniscoping,[status(thm)],[f46])).
% 0.12/0.50 fof(f162,plain,(
% 0.12/0.50 ![LE,X0,E]: (~'LE'(f(suc(X0)),s('0'))|'E'('0',f(suc(X0)))|'LE'(f(X0),'0'))),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f161])).
% 0.12/0.50 fof(f195,plain,(
% 0.12/0.50 ![B_23]: ((~'LE'(f(B_23),s('0'))|'E'('0',f(B_23)))|'LE'(f(B_23),'0'))),
% 0.12/0.50 inference(miniscoping,[status(thm)],[f63])).
% 0.12/0.50 fof(f196,plain,(
% 0.12/0.50 ![LE,X0,E]: (~'LE'(f(X0),s('0'))|'E'('0',f(X0))|'LE'(f(X0),'0'))),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f195])).
% 0.12/0.50 fof(f199,plain,(
% 0.12/0.50 ![A]: 'LE'(f(A),s('0'))),
% 0.12/0.50 inference(miniscoping,[status(thm)],[f65])).
% 0.12/0.50 fof(f200,plain,(
% 0.12/0.50 ![LE,X0]: ('LE'(f(X0),s('0')))),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f199])).
% 0.12/0.50 fof(f209,plain,(
% 0.12/0.50 ![A_1]: ((((~'E'('0',f(suc(suc(A_1))))|~'E'('0',f(suc(A_1))))|~'E'(f(A_1),f(suc(A_1))))|~'E'('0',f(A_1)))|iLEQ(suc(A_1),suc(A_1)))),
% 0.12/0.50 inference(miniscoping,[status(thm)],[f70])).
% 0.12/0.50 fof(f210,plain,(
% 0.12/0.50 ![E,X0]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~'E'(f(X0),f(suc(X0)))|~'E'('0',f(X0))|iLEQ(suc(X0),suc(X0)))),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f209])).
% 0.12/0.50 fof(f213,plain,(
% 0.12/0.50 ![E,X0,LE]: ('E'('0',f(X0))|'LE'(f(X0),'0'))),
% 0.12/0.50 inference(forward_subsumption_resolution,[status(thm)],[f196,f200])).
% 0.12/0.50 fof(f217,plain,(
% 0.12/0.50 ![E,X0,LE]: ('E'('0',f(suc(X0)))|'LE'(f(X0),'0'))),
% 0.12/0.50 inference(forward_subsumption_resolution,[status(thm)],[f162,f200])).
% 0.12/0.50 fof(f235,plain,(
% 0.12/0.50 ![E,X0,LE]: ('E'('0',f(suc(suc(X0))))|'LE'(f(X0),'0'))),
% 0.12/0.50 inference(forward_subsumption_resolution,[status(thm)],[f100,f200])).
% 0.12/0.50 fof(f281,plain,(
% 0.12/0.50 ![E,X0]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|iLEQ(suc(X0),suc(X0)))),
% 0.12/0.50 inference(forward_subsumption_resolution,[status(thm)],[f210,f91])).
% 0.12/0.50 fof(f282,plain,(
% 0.12/0.50 ![E,X0,LE]: (~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|iLEQ(suc(X0),suc(X0))|'LE'(f(X0),'0'))),
% 0.12/0.50 inference(resolution,[status(thm)],[f281,f235])).
% 0.12/0.50 fof(f284,plain,(
% 0.12/0.50 ![E,X0,LE]: (~'E'('0',f(suc(X0)))|iLEQ(suc(X0),suc(X0))|'LE'(f(X0),'0'))),
% 0.12/0.50 inference(forward_subsumption_resolution,[status(thm)],[f282,f213])).
% 0.12/0.50 fof(f325,plain,(
% 0.12/0.50 ![X0,LE]: (iLEQ(suc(X0),suc(X0))|'LE'(f(X0),'0'))),
% 0.12/0.50 inference(forward_subsumption_resolution,[status(thm)],[f284,f217])).
% 0.12/0.50 fof(f338,plain,(
% 0.12/0.50 ![X0,E]: (~iLEQ(suc(X0),suc(X0))|~'E'('0',f(suc(X0)))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|~'E'('0',f(X0))|'E'(f(X0),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|'E'(f(X0),f(suc(X0))))),
% 0.12/0.50 inference(factoring,[status(thm)],[f83])).
% 0.12/0.50 fof(f353,plain,(
% 0.12/0.50 ![X0,E]: (~iLEQ(suc(X0),suc(X0))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|'E'(f(X0),f(suc(X0))))),
% 0.12/0.50 inference(duplicate_literals_removal,[status(thm)],[f338])).
% 0.12/0.50 fof(f354,plain,(
% 0.12/0.50 ![E,X0]: (~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|'E'(f(X0),f(suc(X0))))),
% 0.12/0.50 inference(forward_subsumption_resolution,[status(thm)],[f353,f91])).
% 0.12/0.50 fof(f356,plain,(
% 0.12/0.50 ![E,X0,LE]: (~'E'('0',f(X0))|'E'(f(X0),f(suc(X0)))|'LE'(f(X0),'0'))),
% 0.12/0.50 inference(resolution,[status(thm)],[f354,f217])).
% 0.12/0.50 fof(f358,plain,(
% 0.12/0.50 ![E,X0,LE]: ('E'(f(X0),f(suc(X0)))|'LE'(f(X0),'0'))),
% 0.12/0.50 inference(forward_subsumption_resolution,[status(thm)],[f356,f213])).
% 0.12/0.50 fof(f359,plain,(
% 0.12/0.50 ![E,X0,X1,X2,X3,X4,X5]: (~'E'('0',f(suc(suc(X0))))|~iLEQ(suc(X1),suc(X2))|~'E'('0',f(suc(X1)))|~'E'('0',f(suc(X3)))|~iLEQ(suc(X4),suc(X1))|~'E'(f(X4),f(suc(X4)))|~'E'('0',f(suc(suc(X4))))|~'E'('0',f(suc(X5)))|~'E'(f(X2),f(suc(X2)))|~'E'('0',f(suc(suc(X5))))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(X5))|~'E'('0',f(suc(X2)))|~'E'('0',f(X0))|~iLEQ(suc(X5),suc(X4))|~'E'(f(X3),f(suc(X3)))|~iLEQ(suc(X2),suc(X3))|~'E'(f(X1),f(suc(X1)))|~'E'('0',f(suc(suc(X3))))|~'E'(f(X5),f(suc(X5)))|~'E'('0',f(X2))|~'E'('0',f(suc(X4)))|~'E'('0',f(X4))|~'E'('0',f(suc(X0)))|~'E'('0',f(X3))|~'E'('0',f(suc(suc(X2))))|~'E'('0',f(X1))|~iLEQ(suc(X3),suc(X0)))),
% 0.12/0.50 inference(forward_subsumption_resolution,[status(thm)],[f142,f354])).
% 0.12/0.50 fof(f360,plain,(
% 0.12/0.50 ![E,X0,X1,LE]: (~'E'('0',f(suc(suc(X0))))|~iLEQ(suc(X1),suc(X1))|~'E'('0',f(suc(X1)))|~'E'('0',f(suc(X1)))|~iLEQ(suc(X1),suc(X1))|~'E'(f(X1),f(suc(X1)))|~'E'('0',f(suc(X1)))|~'E'(f(X1),f(suc(X1)))|~'E'('0',f(X1))|~'E'('0',f(suc(X1)))|~'E'('0',f(X0))|~iLEQ(suc(X1),suc(X1))|~'E'(f(X1),f(suc(X1)))|~iLEQ(suc(X1),suc(X1))|~'E'(f(X1),f(suc(X1)))|~'E'(f(X1),f(suc(X1)))|~'E'('0',f(X1))|~'E'('0',f(suc(X1)))|~'E'('0',f(X1))|~'E'('0',f(suc(X0)))|~'E'('0',f(X1))|~'E'('0',f(X1))|~iLEQ(suc(X1),suc(X0))|'LE'(f(X1),'0'))),
% 0.12/0.50 inference(resolution,[status(thm)],[f359,f235])).
% 0.12/0.50 fof(f379,plain,(
% 0.12/0.50 ![E,X0,X1,LE]: (~'E'('0',f(suc(suc(X0))))|~iLEQ(suc(X1),suc(X1))|~'E'('0',f(suc(X1)))|~'E'(f(X1),f(suc(X1)))|~'E'('0',f(X1))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|'LE'(f(X1),'0'))),
% 0.12/0.50 inference(duplicate_literals_removal,[status(thm)],[f360])).
% 0.12/0.50 fof(f380,plain,(
% 0.12/0.50 ![E,X0,X1,LE]: (~'E'('0',f(suc(suc(X0))))|~iLEQ(suc(X1),suc(X1))|~'E'('0',f(suc(X1)))|~'E'(f(X1),f(suc(X1)))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|'LE'(f(X1),'0'))),
% 0.12/0.50 inference(forward_subsumption_resolution,[status(thm)],[f379,f213])).
% 0.12/0.50 fof(f407,plain,(
% 0.12/0.50 ![E,X0,X1,LE]: (~'E'('0',f(suc(suc(X0))))|~iLEQ(suc(X1),suc(X1))|~'E'(f(X1),f(suc(X1)))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|'LE'(f(X1),'0'))),
% 0.12/0.50 inference(forward_subsumption_resolution,[status(thm)],[f380,f217])).
% 0.12/0.50 fof(f408,plain,(
% 0.12/0.50 ![X0,E,X1,LE]: (~iLEQ(suc(X0),suc(X0))|~'E'(f(X0),f(suc(X0)))|~'E'('0',f(X1))|~'E'('0',f(suc(X1)))|~iLEQ(suc(X0),suc(X1))|'LE'(f(X0),'0')|'LE'(f(X1),'0'))),
% 0.12/0.50 inference(resolution,[status(thm)],[f407,f235])).
% 0.12/0.50 fof(f410,plain,(
% 0.12/0.50 ![E,X0,X1,LE]: (~'E'(f(X0),f(suc(X0)))|~'E'('0',f(X1))|~'E'('0',f(suc(X1)))|~iLEQ(suc(X0),suc(X1))|'LE'(f(X0),'0')|'LE'(f(X1),'0'))),
% 0.12/0.51 inference(forward_subsumption_resolution,[status(thm)],[f408,f325])).
% 0.12/0.51 fof(f412,plain,(
% 0.12/0.51 ![E,X0,X1,LE]: (~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|'LE'(f(X1),'0')|'LE'(f(X0),'0'))),
% 0.12/0.51 inference(forward_subsumption_resolution,[status(thm)],[f410,f358])).
% 0.12/0.51 fof(f415,plain,(
% 0.12/0.51 ![E,X0,LE]: (~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|'LE'(f(X0),'0')|'LE'(f(X0),'0')|'LE'(f(X0),'0'))),
% 0.12/0.51 inference(resolution,[status(thm)],[f412,f325])).
% 0.12/0.51 fof(f420,plain,(
% 0.12/0.51 ![E,X0,LE]: (~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|'LE'(f(X0),'0'))),
% 0.12/0.51 inference(duplicate_literals_removal,[status(thm)],[f415])).
% 0.12/0.51 fof(f421,plain,(
% 0.12/0.51 ![E,X0,LE]: (~'E'('0',f(suc(X0)))|'LE'(f(X0),'0'))),
% 0.12/0.51 inference(forward_subsumption_resolution,[status(thm)],[f420,f213])).
% 0.12/0.51 fof(f423,plain,(
% 0.12/0.51 ![LE,X0]: ('LE'(f(X0),'0'))),
% 0.12/0.51 inference(forward_subsumption_resolution,[status(thm)],[f421,f217])).
% 0.12/0.51 fof(f424,plain,(
% 0.12/0.51 $false),
% 0.12/0.51 inference(backward_subsumption_resolution,[status(thm)],[f96,f423])).
% 0.12/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.52 % Elapsed time: 0.168314 seconds
% 0.12/0.52 % CPU time: 0.918150 seconds
% 0.12/0.52 % Total memory used: 23.362 MB
% 0.12/0.52 % Net memory used: 21.838 MB
%------------------------------------------------------------------------------