%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYO631-1 : TPTP v9.3.1. Released v7.1.0.
% 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 03:44:40 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO631-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 12:05:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.42 fof(f1,axiom,(
% 0.13/0.42 (![E,A_5]: (( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(A_5))| ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(A_5)))| 'E'(f(A_5),f(g(A_5))) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f2,axiom,(
% 0.13/0.42 (![A_23]: (iLEQ(A_23,g(A_23)) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f3,axiom,(
% 0.13/0.42 (![LE,A_19,B_12,E]: (( ~ 'LE'(f(A_19),s(s(s(s('0')))))| ~ iLEQ(A_19,B_12)| 'E'(s(s(s('0'))),f(B_12))| 'LE'(f(B_12),s(s(s('0')))) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f4,axiom,(
% 0.13/0.42 (![LE,A_1,B_0,E]: (( ~ 'LE'(f(A_1),s(s(s(s(s(s(s(s(s(s('0')))))))))))| ~ iLEQ(A_1,B_0)| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(B_0))| 'LE'(f(B_0),s(s(s(s(s(s(s(s(s('0')))))))))) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f5,axiom,(
% 0.13/0.42 (![E,A_26]: (~ 'E'(f(A_26),f(g(A_26))) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f6,axiom,(
% 0.13/0.42 (![A_14]: (iLEQ(A_14,A_14) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f7,axiom,(
% 0.13/0.42 (![E,A_11]: (( ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(A_11))| ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(A_11)))| 'E'(f(A_11),f(g(A_11))) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f11,axiom,(
% 0.13/0.42 (![LE,A_13,B_8,E]: (( ~ 'LE'(f(A_13),s(s(s(s(s(s('0')))))))| ~ iLEQ(A_13,B_8)| 'E'(s(s(s(s(s('0'))))),f(B_8))| 'LE'(f(B_8),s(s(s(s(s('0')))))) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f12,axiom,(
% 0.13/0.42 (![E,A_23]: (( ~ 'E'(s(s(s('0'))),f(A_23))| ~ 'E'(s(s(s('0'))),f(g(A_23)))| 'E'(f(A_23),f(g(A_23))) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f13,axiom,(
% 0.13/0.42 (![LE,A_4,B_2,E]: (( ~ 'LE'(f(A_4),s(s(s(s(s(s(s(s(s('0'))))))))))| ~ iLEQ(A_4,B_2)| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(B_2))| 'LE'(f(B_2),s(s(s(s(s(s(s(s('0'))))))))) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f16,axiom,(
% 0.13/0.42 (![E,A_14]: (( ~ 'E'(s(s(s(s(s(s('0')))))),f(A_14))| ~ 'E'(s(s(s(s(s(s('0')))))),f(g(A_14)))| 'E'(f(A_14),f(g(A_14))) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f19,axiom,(
% 0.13/0.42 (![LE,A_7,B_4,E]: (( ~ 'LE'(f(A_7),s(s(s(s(s(s(s(s('0')))))))))| ~ iLEQ(A_7,B_4)| 'E'(s(s(s(s(s(s(s('0'))))))),f(B_4))| 'LE'(f(B_4),s(s(s(s(s(s(s('0')))))))) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f21,axiom,(
% 0.13/0.42 (![LE,A_25,B_16,E]: (( ~ 'LE'(f(A_25),s(s('0')))| ~ iLEQ(A_25,B_16)| 'E'(s('0'),f(B_16))| 'LE'(f(B_16),s('0')) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f22,axiom,(
% 0.13/0.42 (![E,A_26]: (( ~ 'E'(s(s('0')),f(A_26))| ~ 'E'(s(s('0')),f(g(A_26)))| 'E'(f(A_26),f(g(A_26))) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f23,axiom,(
% 0.13/0.42 (![E,A_17]: (( ~ 'E'(s(s(s(s(s('0'))))),f(A_17))| ~ 'E'(s(s(s(s(s('0'))))),f(g(A_17)))| 'E'(f(A_17),f(g(A_17))) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f25,axiom,(
% 0.13/0.42 (![E,A_30]: (( ~ 'E'('0',f(A_30))| ~ 'E'('0',f(g(A_30)))| 'E'(f(A_30),f(g(A_30))) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f31,axiom,(
% 0.13/0.42 (![LE,A_28,B_18,E]: (( ~ 'LE'(f(A_28),s('0'))| ~ iLEQ(A_28,B_18)| 'E'('0',f(B_18))| 'LE'(f(B_18),'0') ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f32,axiom,(
% 0.13/0.42 (![E,A_2]: (( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(A_2))| ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(A_2)))| 'E'(f(A_2),f(g(A_2))) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f35,axiom,(
% 0.13/0.42 (![E,A_29]: (( ~ 'E'(s('0'),f(A_29))| ~ 'E'(s('0'),f(g(A_29)))| 'E'(f(A_29),f(g(A_29))) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f36,axiom,(
% 0.13/0.42 (![LE,A_16,B_10,E]: (( ~ 'LE'(f(A_16),s(s(s(s(s('0'))))))| ~ iLEQ(A_16,B_10)| 'E'(s(s(s(s('0')))),f(B_10))| 'LE'(f(B_10),s(s(s(s('0'))))) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f39,axiom,(
% 0.13/0.42 (![E,A,LE]: (( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(A))| 'LE'(f(A),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f45,axiom,(
% 0.13/0.42 (![LE,A_10,B_6,E]: (( ~ 'LE'(f(A_10),s(s(s(s(s(s(s('0'))))))))| ~ iLEQ(A_10,B_6)| 'E'(s(s(s(s(s(s('0')))))),f(B_6))| 'LE'(f(B_6),s(s(s(s(s(s('0'))))))) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f48,axiom,(
% 0.13/0.42 (![E,A_20]: (( ~ 'E'(s(s(s(s('0')))),f(A_20))| ~ 'E'(s(s(s(s('0')))),f(g(A_20)))| 'E'(f(A_20),f(g(A_20))) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f50,axiom,(
% 0.13/0.42 (![LE,A_22,B_14,E]: (( ~ 'LE'(f(A_22),s(s(s('0'))))| ~ iLEQ(A_22,B_14)| 'E'(s(s('0')),f(B_14))| 'LE'(f(B_14),s(s('0'))) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f52,axiom,(
% 0.13/0.42 (![LE,A_30]: (~ 'LE'(f(A_30),'0') ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f54,axiom,(
% 0.13/0.42 (![E,A_8]: (( ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(A_8))| ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(A_8)))| 'E'(f(A_8),f(g(A_8))) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f58,plain,(
% 0.13/0.42 ![A_5]: ((~'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(A_5))|~'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(A_5))))|'E'(f(A_5),f(g(A_5))))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f1])).
% 0.13/0.42 fof(f59,plain,(
% 0.13/0.42 ![E,X0]: (~'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X0))|~'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))|'E'(f(X0),f(g(X0))))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f58])).
% 0.13/0.42 fof(f60,plain,(
% 0.13/0.42 ![X0]: (iLEQ(X0,g(X0)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.42 fof(f61,plain,(
% 0.13/0.42 ![B_12]: (((![A_19]: (~'LE'(f(A_19),s(s(s(s('0')))))|~iLEQ(A_19,B_12)))|'E'(s(s(s('0'))),f(B_12)))|'LE'(f(B_12),s(s(s('0')))))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f3])).
% 0.13/0.42 fof(f62,plain,(
% 0.13/0.42 ![LE,X0,X1,E]: (~'LE'(f(X0),s(s(s(s('0')))))|~iLEQ(X0,X1)|'E'(s(s(s('0'))),f(X1))|'LE'(f(X1),s(s(s('0')))))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f61])).
% 0.13/0.42 fof(f63,plain,(
% 0.13/0.42 ![B_0]: (((![A_1]: (~'LE'(f(A_1),s(s(s(s(s(s(s(s(s(s('0')))))))))))|~iLEQ(A_1,B_0)))|'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(B_0)))|'LE'(f(B_0),s(s(s(s(s(s(s(s(s('0')))))))))))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f4])).
% 0.13/0.42 fof(f64,plain,(
% 0.13/0.42 ![LE,X0,X1,E]: (~'LE'(f(X0),s(s(s(s(s(s(s(s(s(s('0')))))))))))|~iLEQ(X0,X1)|'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))|'LE'(f(X1),s(s(s(s(s(s(s(s(s('0')))))))))))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f63])).
% 0.13/0.42 fof(f65,plain,(
% 0.13/0.42 ![A_26]: ~'E'(f(A_26),f(g(A_26)))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f5])).
% 0.13/0.42 fof(f66,plain,(
% 0.13/0.42 ![E,X0]: (~'E'(f(X0),f(g(X0))))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f65])).
% 0.13/0.42 fof(f67,plain,(
% 0.13/0.42 ![X0]: (iLEQ(X0,X0))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.42 fof(f68,plain,(
% 0.13/0.42 ![A_11]: ((~'E'(s(s(s(s(s(s(s('0'))))))),f(A_11))|~'E'(s(s(s(s(s(s(s('0'))))))),f(g(A_11))))|'E'(f(A_11),f(g(A_11))))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f7])).
% 0.13/0.42 fof(f69,plain,(
% 0.13/0.42 ![E,X0]: (~'E'(s(s(s(s(s(s(s('0'))))))),f(X0))|~'E'(s(s(s(s(s(s(s('0'))))))),f(g(X0)))|'E'(f(X0),f(g(X0))))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.13/0.42 fof(f74,plain,(
% 0.13/0.42 ![B_8]: (((![A_13]: (~'LE'(f(A_13),s(s(s(s(s(s('0')))))))|~iLEQ(A_13,B_8)))|'E'(s(s(s(s(s('0'))))),f(B_8)))|'LE'(f(B_8),s(s(s(s(s('0')))))))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f11])).
% 0.13/0.42 fof(f75,plain,(
% 0.13/0.42 ![LE,X0,X1,E]: (~'LE'(f(X0),s(s(s(s(s(s('0')))))))|~iLEQ(X0,X1)|'E'(s(s(s(s(s('0'))))),f(X1))|'LE'(f(X1),s(s(s(s(s('0')))))))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f74])).
% 0.13/0.42 fof(f76,plain,(
% 0.13/0.42 ![A_23]: ((~'E'(s(s(s('0'))),f(A_23))|~'E'(s(s(s('0'))),f(g(A_23))))|'E'(f(A_23),f(g(A_23))))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f12])).
% 0.13/0.42 fof(f77,plain,(
% 0.13/0.42 ![E,X0]: (~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(g(X0)))|'E'(f(X0),f(g(X0))))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f76])).
% 0.13/0.42 fof(f78,plain,(
% 0.13/0.42 ![B_2]: (((![A_4]: (~'LE'(f(A_4),s(s(s(s(s(s(s(s(s('0'))))))))))|~iLEQ(A_4,B_2)))|'E'(s(s(s(s(s(s(s(s('0')))))))),f(B_2)))|'LE'(f(B_2),s(s(s(s(s(s(s(s('0'))))))))))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f13])).
% 0.13/0.42 fof(f79,plain,(
% 0.13/0.42 ![LE,X0,X1,E]: (~'LE'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))|~iLEQ(X0,X1)|'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))|'LE'(f(X1),s(s(s(s(s(s(s(s('0'))))))))))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f78])).
% 0.13/0.42 fof(f83,plain,(
% 0.13/0.42 ![A_14]: ((~'E'(s(s(s(s(s(s('0')))))),f(A_14))|~'E'(s(s(s(s(s(s('0')))))),f(g(A_14))))|'E'(f(A_14),f(g(A_14))))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f16])).
% 0.13/0.42 fof(f84,plain,(
% 0.13/0.42 ![E,X0]: (~'E'(s(s(s(s(s(s('0')))))),f(X0))|~'E'(s(s(s(s(s(s('0')))))),f(g(X0)))|'E'(f(X0),f(g(X0))))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f83])).
% 0.13/0.42 fof(f87,plain,(
% 0.13/0.42 ![B_4]: (((![A_7]: (~'LE'(f(A_7),s(s(s(s(s(s(s(s('0')))))))))|~iLEQ(A_7,B_4)))|'E'(s(s(s(s(s(s(s('0'))))))),f(B_4)))|'LE'(f(B_4),s(s(s(s(s(s(s('0')))))))))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f19])).
% 0.13/0.42 fof(f88,plain,(
% 0.13/0.42 ![LE,X0,X1,E]: (~'LE'(f(X0),s(s(s(s(s(s(s(s('0')))))))))|~iLEQ(X0,X1)|'E'(s(s(s(s(s(s(s('0'))))))),f(X1))|'LE'(f(X1),s(s(s(s(s(s(s('0')))))))))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f87])).
% 0.13/0.42 fof(f90,plain,(
% 0.13/0.42 ![B_16]: (((![A_25]: (~'LE'(f(A_25),s(s('0')))|~iLEQ(A_25,B_16)))|'E'(s('0'),f(B_16)))|'LE'(f(B_16),s('0')))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f21])).
% 0.13/0.42 fof(f91,plain,(
% 0.13/0.42 ![LE,X0,X1,E]: (~'LE'(f(X0),s(s('0')))|~iLEQ(X0,X1)|'E'(s('0'),f(X1))|'LE'(f(X1),s('0')))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f90])).
% 0.13/0.42 fof(f92,plain,(
% 0.13/0.42 ![A_26]: ((~'E'(s(s('0')),f(A_26))|~'E'(s(s('0')),f(g(A_26))))|'E'(f(A_26),f(g(A_26))))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f22])).
% 0.13/0.42 fof(f93,plain,(
% 0.13/0.42 ![E,X0]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(g(X0)))|'E'(f(X0),f(g(X0))))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f92])).
% 0.13/0.42 fof(f94,plain,(
% 0.13/0.42 ![A_17]: ((~'E'(s(s(s(s(s('0'))))),f(A_17))|~'E'(s(s(s(s(s('0'))))),f(g(A_17))))|'E'(f(A_17),f(g(A_17))))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f23])).
% 0.13/0.42 fof(f95,plain,(
% 0.13/0.42 ![E,X0]: (~'E'(s(s(s(s(s('0'))))),f(X0))|~'E'(s(s(s(s(s('0'))))),f(g(X0)))|'E'(f(X0),f(g(X0))))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f94])).
% 0.13/0.42 fof(f98,plain,(
% 0.13/0.42 ![A_30]: ((~'E'('0',f(A_30))|~'E'('0',f(g(A_30))))|'E'(f(A_30),f(g(A_30))))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f25])).
% 0.13/0.42 fof(f99,plain,(
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% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f109])).
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% 0.13/0.42 inference(miniscoping,[status(thm)],[f35])).
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% 0.13/0.42 inference(miniscoping,[status(thm)],[f36])).
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% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f115])).
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% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f120])).
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% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f128])).
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% 0.13/0.42 inference(miniscoping,[status(thm)],[f48])).
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% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f132])).
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% 0.13/0.42 inference(miniscoping,[status(thm)],[f50])).
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% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f136])).
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% 0.13/0.42 inference(miniscoping,[status(thm)],[f52])).
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% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f140])).
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% 0.13/0.42 inference(miniscoping,[status(thm)],[f54])).
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% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f144])).
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% 0.13/0.42 inference(backward_subsumption_resolution,[status(thm)],[f59,f66])).
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% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f69,f66])).
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% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f77,f66])).
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% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f84,f66])).
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% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f93,f66])).
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% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f99,f66])).
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% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f95,f66])).
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% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f108,f141])).
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% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f114,f66])).
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% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f110,f66])).
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% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f133,f66])).
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% 0.13/0.42 inference(resolution,[status(thm)],[f121,f64])).
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% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f145,f66])).
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% 0.13/0.42 inference(resolution,[status(thm)],[f161,f60])).
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% 0.13/0.42 inference(resolution,[status(thm)],[f161,f67])).
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% 0.13/0.42 inference(resolution,[status(thm)],[f164,f159])).
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% 0.13/0.42 inference(resolution,[status(thm)],[f167,f79])).
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% 0.13/0.42 inference(resolution,[status(thm)],[f196,f60])).
% 0.13/0.42 fof(f198,plain,(
% 0.13/0.42 ![E,X0,LE]: ('E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))|'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))|'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0'))))))),
% 0.13/0.42 inference(resolution,[status(thm)],[f196,f67])).
% 0.13/0.42 fof(f199,plain,(
% 0.13/0.42 ![E,X0,LE]: ('E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))|'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0')))))|~'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X0)))))))),
% 0.13/0.42 inference(resolution,[status(thm)],[f198,f156])).
% 0.13/0.42 fof(f201,plain,(
% 0.13/0.42 ![E,X0,LE]: ('E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))|'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0'))))))),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f197,f199])).
% 0.13/0.42 fof(f202,plain,(
% 0.13/0.42 ![E,X0,X1,LE]: ('E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))|~iLEQ(g(g(g(g(g(g(X0)))))),X1)|'E'(s(s(s('0'))),f(X1))|'LE'(f(X1),s(s(s('0')))))),
% 0.13/0.42 inference(resolution,[status(thm)],[f201,f62])).
% 0.13/0.42 fof(f203,plain,(
% 0.13/0.42 ![E,X0,LE]: ('E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))|'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))|'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s(s('0')))))),
% 0.13/0.42 inference(resolution,[status(thm)],[f202,f60])).
% 0.13/0.42 fof(f204,plain,(
% 0.13/0.42 ![E,X0,LE]: ('E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))|'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))|'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0')))))),
% 0.13/0.42 inference(resolution,[status(thm)],[f202,f67])).
% 0.13/0.42 fof(f205,plain,(
% 0.13/0.42 ![E,X0,LE]: ('E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))|'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0'))))|~'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0))))))))),
% 0.13/0.42 inference(resolution,[status(thm)],[f204,f160])).
% 0.13/0.42 fof(f207,plain,(
% 0.13/0.42 ![E,X0,LE]: ('E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))|'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s(s('0')))))),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f203,f205])).
% 0.13/0.42 fof(f208,plain,(
% 0.13/0.42 ![E,X0,X1,LE]: ('E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))|~iLEQ(g(g(g(g(g(g(g(X0))))))),X1)|'E'(s(s('0')),f(X1))|'LE'(f(X1),s(s('0'))))),
% 0.13/0.42 inference(resolution,[status(thm)],[f207,f137])).
% 0.13/0.42 fof(f209,plain,(
% 0.13/0.42 ![E,X0,LE]: ('E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))|'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))|'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s(s('0'))))),
% 0.13/0.42 inference(resolution,[status(thm)],[f208,f60])).
% 0.13/0.42 fof(f210,plain,(
% 0.13/0.42 ![E,X0,LE]: ('E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))|'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))|'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0'))))),
% 0.13/0.42 inference(resolution,[status(thm)],[f208,f67])).
% 0.13/0.42 fof(f211,plain,(
% 0.13/0.42 ![E,X0,LE]: ('E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))|'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))|~'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0)))))))))),
% 0.13/0.42 inference(resolution,[status(thm)],[f210,f152])).
% 0.13/0.42 fof(f213,plain,(
% 0.13/0.42 ![E,X0,LE]: ('E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))|'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s(s('0'))))),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f209,f211])).
% 0.13/0.42 fof(f214,plain,(
% 0.13/0.42 ![E,X0,X1,LE]: ('E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))|~iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)|'E'(s('0'),f(X1))|'LE'(f(X1),s('0')))),
% 0.13/0.43 inference(resolution,[status(thm)],[f213,f91])).
% 0.13/0.43 fof(f215,plain,(
% 0.13/0.43 ![E,X0,LE]: ('E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))|'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))|'LE'(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s('0')))),
% 0.13/0.43 inference(resolution,[status(thm)],[f214,f60])).
% 0.13/0.43 fof(f216,plain,(
% 0.13/0.43 ![E,X0,LE]: ('E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))|'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))|'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0')))),
% 0.13/0.43 inference(resolution,[status(thm)],[f214,f67])).
% 0.13/0.43 fof(f217,plain,(
% 0.13/0.43 ![E,X0,LE]: ('E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))|'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))|~'E'(s(s('0')),f(g(g(g(g(g(g(g(X0))))))))))),
% 0.13/0.43 inference(resolution,[status(thm)],[f216,f154])).
% 0.13/0.43 fof(f219,plain,(
% 0.13/0.43 ![E,X0,LE]: ('E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))|'LE'(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s('0')))),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f215,f217])).
% 0.13/0.43 fof(f220,plain,(
% 0.13/0.43 ![E,X0,X1]: ('E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))|~iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)|'E'('0',f(X1)))),
% 0.13/0.43 inference(resolution,[status(thm)],[f219,f157])).
% 0.13/0.43 fof(f221,plain,(
% 0.13/0.43 ![E,X0]: ('E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))|'E'('0',f(g(g(g(g(g(g(g(g(g(g(X0)))))))))))))),
% 0.13/0.43 inference(resolution,[status(thm)],[f220,f60])).
% 0.13/0.43 fof(f222,plain,(
% 0.13/0.43 ![E,X0]: ('E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))|'E'('0',f(g(g(g(g(g(g(g(g(g(X0))))))))))))),
% 0.13/0.43 inference(resolution,[status(thm)],[f220,f67])).
% 0.13/0.43 fof(f223,plain,(
% 0.13/0.43 ![E,X0]: ('E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))|~'E'(s('0'),f(g(g(g(g(g(g(g(g(X0)))))))))))),
% 0.13/0.43 inference(resolution,[status(thm)],[f222,f158])).
% 0.13/0.43 fof(f225,plain,(
% 0.13/0.43 ![E,X0]: ('E'('0',f(g(g(g(g(g(g(g(g(g(g(X0)))))))))))))),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f221,f223])).
% 0.13/0.43 fof(f226,plain,(
% 0.13/0.43 ![E,X0]: (~'E'('0',f(g(g(g(g(g(g(g(g(g(X0))))))))))))),
% 0.13/0.43 inference(resolution,[status(thm)],[f225,f155])).
% 0.13/0.43 fof(f230,plain,(
% 0.13/0.43 $false),
% 0.13/0.43 inference(backward_subsumption_resolution,[status(thm)],[f225,f226])).
% 0.13/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.066691 seconds
% 0.13/0.43 % CPU time: 0.305828 seconds
% 0.13/0.43 % Total memory used: 10.788 MB
% 0.13/0.43 % Net memory used: 10.227 MB
%------------------------------------------------------------------------------