%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO630-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 03:48:06 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.49s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 16
% Syntax : Number of clauses : 196 ( 12 unt; 158 nHn; 89 RR)
% Number of literals : 835 ( 0 equ; 130 neg)
% Maximal clause size : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 242 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_7_16,axiom,
( ~ iLEQ(X1,X2)
| ~ 'LE'(f(X1),s(s(s(s(s('0'))))))
| 'LE'(f(X2),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7_16) ).
cnf(clause_8_01,axiom,
( 'LE'(f(X1),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8_01) ).
cnf(clause_26_17,axiom,
( ~ iLEQ(X1,X2)
| ~ 'LE'(f(X1),s(s(s(s('0')))))
| 'LE'(f(X2),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26_17) ).
cnf(clause_18_04,axiom,
iLEQ(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18_04) ).
cnf(clause_16_15,axiom,
( ~ iLEQ(X1,X2)
| ~ 'LE'(f(X1),s(s(s('0'))))
| 'LE'(f(X2),s(s('0')))
| 'E'(s(s('0')),f(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16_15) ).
cnf(clause_17_32,axiom,
( ~ iLEQ(X1,X2)
| ~ 'LE'(f(X1),s(s('0')))
| 'LE'(f(X2),s('0'))
| 'E'(s('0'),f(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17_32) ).
cnf(clause_1_06,axiom,
( ~ iLEQ(X1,X2)
| ~ 'LE'(f(X1),s('0'))
| 'LE'(f(X2),'0')
| 'E'('0',f(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1_06) ).
cnf(clause_6_07,axiom,
~ 'LE'(f(X1),'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6_07) ).
cnf(clause_13_02,axiom,
iLEQ(X1,g(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13_02) ).
cnf(clause_29_24,axiom,
( ~ 'E'('0',f(g(X1)))
| ~ 'E'('0',f(X1))
| 'E'(f(X1),f(g(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29_24) ).
cnf(clause_31_05,axiom,
~ 'E'(f(X1),f(g(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31_05) ).
cnf(clause_30_13,axiom,
( ~ 'E'(s('0'),f(g(X1)))
| ~ 'E'(s('0'),f(X1))
| 'E'(f(X1),f(g(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30_13) ).
cnf(clause_3_10,axiom,
( ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
| ~ 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(f(X1),f(g(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3_10) ).
cnf(clause_27_12,axiom,
( ~ 'E'(s(s('0')),f(g(X1)))
| ~ 'E'(s(s('0')),f(X1))
| 'E'(f(X1),f(g(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27_12) ).
cnf(clause_12_30,axiom,
( ~ 'E'(s(s(s(s('0')))),f(g(X1)))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| 'E'(f(X1),f(g(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12_30) ).
cnf(clause_21_11,axiom,
( ~ 'E'(s(s(s('0'))),f(g(X1)))
| ~ 'E'(s(s(s('0'))),f(X1))
| 'E'(f(X1),f(g(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21_11) ).
cnf(c_0_16,plain,
( ~ iLEQ(X1,X2)
| ~ 'LE'(f(X1),s(s(s(s(s('0'))))))
| 'LE'(f(X2),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(X2)) ),
inference(fof_simplification,[status(thm)],[clause_7_16]) ).
cnf(c_0_17,plain,
( ~ iLEQ(X1,X2)
| ~ 'LE'(f(X1),s(s(s(s(s('0'))))))
| 'LE'(f(X2),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(X2)) ),
c_0_16 ).
cnf(c_0_18,axiom,
( 'LE'(f(X1),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
clause_8_01 ).
cnf(c_0_19,plain,
( ~ iLEQ(X1,X2)
| ~ 'LE'(f(X1),s(s(s(s('0')))))
| 'LE'(f(X2),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(X2)) ),
inference(fof_simplification,[status(thm)],[clause_26_17]) ).
cnf(c_0_20,plain,
( ~ iLEQ(X2,X1)
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,axiom,
iLEQ(X1,X1),
clause_18_04 ).
cnf(c_0_22,plain,
( ~ iLEQ(X1,X2)
| ~ 'LE'(f(X1),s(s(s(s('0')))))
| 'LE'(f(X2),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(X2)) ),
c_0_19 ).
cnf(c_0_23,plain,
( 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,plain,
( ~ iLEQ(X1,X2)
| ~ 'LE'(f(X1),s(s(s('0'))))
| 'LE'(f(X2),s(s('0')))
| 'E'(s(s('0')),f(X2)) ),
inference(fof_simplification,[status(thm)],[clause_16_15]) ).
cnf(c_0_25,plain,
( ~ iLEQ(X2,X1)
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s(s(s('0')))),f(X2))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'LE'(f(X1),s(s(s('0')))) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,plain,
( ~ iLEQ(X1,X2)
| ~ 'LE'(f(X1),s(s(s('0'))))
| 'LE'(f(X2),s(s('0')))
| 'E'(s(s('0')),f(X2)) ),
c_0_24 ).
cnf(c_0_27,plain,
( 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(X1),s(s(s('0')))) ),
inference(spm,[status(thm)],[c_0_25,c_0_21]) ).
cnf(c_0_28,plain,
( ~ iLEQ(X1,X2)
| ~ 'LE'(f(X1),s(s('0')))
| 'LE'(f(X2),s('0'))
| 'E'(s('0'),f(X2)) ),
inference(fof_simplification,[status(thm)],[clause_17_32]) ).
cnf(c_0_29,plain,
( ~ iLEQ(X2,X1)
| 'E'(s(s('0')),f(X1))
| 'E'(s(s(s('0'))),f(X2))
| 'E'(s(s(s(s('0')))),f(X2))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'LE'(f(X1),s(s('0'))) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,plain,
( ~ iLEQ(X1,X2)
| ~ 'LE'(f(X1),s('0'))
| 'LE'(f(X2),'0')
| 'E'('0',f(X2)) ),
inference(fof_simplification,[status(thm)],[clause_1_06]) ).
cnf(c_0_31,plain,
~ 'LE'(f(X1),'0'),
inference(fof_simplification,[status(thm)],[clause_6_07]) ).
cnf(c_0_32,plain,
( ~ iLEQ(X1,X2)
| ~ 'LE'(f(X1),s(s('0')))
| 'LE'(f(X2),s('0'))
| 'E'(s('0'),f(X2)) ),
c_0_28 ).
cnf(c_0_33,plain,
( 'E'(s(s('0')),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(X1),s(s('0'))) ),
inference(spm,[status(thm)],[c_0_29,c_0_21]) ).
cnf(c_0_34,plain,
( ~ iLEQ(X1,X2)
| ~ 'LE'(f(X1),s('0'))
| 'LE'(f(X2),'0')
| 'E'('0',f(X2)) ),
c_0_30 ).
cnf(c_0_35,plain,
~ 'LE'(f(X1),'0'),
c_0_31 ).
cnf(c_0_36,plain,
( ~ iLEQ(X2,X1)
| 'E'(s('0'),f(X1))
| 'E'(s(s('0')),f(X2))
| 'E'(s(s(s('0'))),f(X2))
| 'E'(s(s(s(s('0')))),f(X2))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'LE'(f(X1),s('0')) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,axiom,
iLEQ(X1,g(X1)),
clause_13_02 ).
cnf(c_0_38,plain,
( ~ 'E'('0',f(g(X1)))
| ~ 'E'('0',f(X1))
| 'E'(f(X1),f(g(X1))) ),
inference(fof_simplification,[status(thm)],[clause_29_24]) ).
cnf(c_0_39,plain,
~ 'E'(f(X1),f(g(X1))),
inference(fof_simplification,[status(thm)],[clause_31_05]) ).
cnf(c_0_40,plain,
( ~ 'LE'(f(X2),s('0'))
| ~ iLEQ(X2,X1)
| 'E'('0',f(X1)) ),
inference(sr,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( 'E'(s(s('0')),f(X1))
| 'E'(s('0'),f(g(X1)))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(g(X1)),s('0')) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
( ~ 'E'(s('0'),f(g(X1)))
| ~ 'E'(s('0'),f(X1))
| 'E'(f(X1),f(g(X1))) ),
inference(fof_simplification,[status(thm)],[clause_30_13]) ).
cnf(c_0_43,plain,
( ~ 'E'('0',f(g(X1)))
| ~ 'E'('0',f(X1))
| 'E'(f(X1),f(g(X1))) ),
c_0_38 ).
cnf(c_0_44,plain,
~ 'E'(f(X1),f(g(X1))),
c_0_39 ).
cnf(c_0_45,plain,
( ~ iLEQ(g(X1),X2)
| 'E'('0',f(X2))
| 'E'(s('0'),f(g(X1)))
| 'E'(s(s('0')),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
( ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
| ~ 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(f(X1),f(g(X1))) ),
inference(fof_simplification,[status(thm)],[clause_3_10]) ).
cnf(c_0_47,plain,
( ~ 'E'(s('0'),f(g(X1)))
| ~ 'E'(s('0'),f(X1))
| 'E'(f(X1),f(g(X1))) ),
c_0_42 ).
cnf(c_0_48,plain,
( ~ 'E'('0',f(X1))
| ~ 'E'('0',f(g(X1))) ),
inference(sr,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
( 'E'(s(s('0')),f(X1))
| 'E'(s('0'),f(g(X1)))
| 'E'('0',f(g(g(X1))))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_45,c_0_37]) ).
cnf(c_0_50,plain,
( 'E'('0',f(g(X1)))
| 'E'(s(s('0')),f(X1))
| 'E'(s('0'),f(g(X1)))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_45,c_0_21]) ).
cnf(c_0_51,plain,
( ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
| ~ 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(f(X1),f(g(X1))) ),
c_0_46 ).
cnf(c_0_52,plain,
( ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(g(X1))) ),
inference(sr,[status(thm)],[c_0_47,c_0_44]) ).
cnf(c_0_53,plain,
( 'E'(s('0'),f(g(X1)))
| 'E'(s(s('0')),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_54,plain,
( ~ 'E'(s(s(s(s(s('0'))))),f(X1))
| ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
inference(sr,[status(thm)],[c_0_51,c_0_44]) ).
cnf(c_0_55,plain,
( ~ 'E'(s('0'),f(X1))
| 'E'(s(s('0')),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'LE'(f(g(X1)),s(s(s(s('0'))))) ),
inference(spm,[status(thm)],[c_0_20,c_0_37]) ).
cnf(c_0_57,plain,
( 'E'(s('0'),f(X1))
| 'E'(s(s('0')),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(X1),s('0')) ),
inference(spm,[status(thm)],[c_0_36,c_0_21]) ).
cnf(c_0_58,plain,
( ~ 'E'(s('0'),f(g(X1)))
| ~ 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,plain,
( 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(g(X1)),s(s('0'))) ),
inference(spm,[status(thm)],[c_0_29,c_0_37]) ).
cnf(c_0_60,plain,
( ~ iLEQ(g(X2),X1)
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s(s(s('0')))),f(g(X2)))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'LE'(f(X1),s(s(s('0')))) ),
inference(spm,[status(thm)],[c_0_22,c_0_56]) ).
cnf(c_0_61,plain,
( ~ 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'LE'(f(g(X1)),s('0')) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_57]),c_0_58]) ).
cnf(c_0_62,plain,
( ~ iLEQ(g(X2),X1)
| 'E'(s('0'),f(X1))
| 'E'(s(s('0')),f(g(X2)))
| 'E'(s(s(s('0'))),f(X2))
| 'E'(s(s(s(s('0')))),f(X2))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'LE'(f(X1),s('0')) ),
inference(spm,[status(thm)],[c_0_32,c_0_59]) ).
cnf(c_0_63,plain,
( 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'LE'(f(g(X1)),s(s(s('0')))) ),
inference(spm,[status(thm)],[c_0_60,c_0_21]) ).
cnf(c_0_64,plain,
( ~ 'E'(s(s(s(s(s('0'))))),f(X1))
| ~ iLEQ(g(X1),X2)
| 'E'('0',f(X2))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_40,c_0_61]) ).
cnf(c_0_65,plain,
( ~ 'E'(s(s('0')),f(g(X1)))
| ~ 'E'(s(s('0')),f(X1))
| 'E'(f(X1),f(g(X1))) ),
inference(fof_simplification,[status(thm)],[clause_27_12]) ).
cnf(c_0_66,plain,
( 'E'(s('0'),f(g(X1)))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(g(X1)),s('0')) ),
inference(spm,[status(thm)],[c_0_62,c_0_21]) ).
cnf(c_0_67,plain,
( ~ iLEQ(g(X2),X1)
| 'E'(s(s('0')),f(X1))
| 'E'(s(s(s('0'))),f(g(X2)))
| 'E'(s(s(s(s('0')))),f(g(X2)))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'LE'(f(X1),s(s('0'))) ),
inference(spm,[status(thm)],[c_0_26,c_0_63]) ).
cnf(c_0_68,plain,
( ~ 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'('0',f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_64,c_0_37]) ).
cnf(c_0_69,plain,
( ~ 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'('0',f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_64,c_0_21]) ).
cnf(c_0_70,plain,
( ~ 'E'(s(s('0')),f(g(X1)))
| ~ 'E'(s(s('0')),f(X1))
| 'E'(f(X1),f(g(X1))) ),
c_0_65 ).
cnf(c_0_71,plain,
( ~ iLEQ(g(X1),X2)
| 'E'('0',f(X2))
| 'E'(s('0'),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_66]) ).
cnf(c_0_72,plain,
( 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'LE'(f(g(X1)),s(s('0'))) ),
inference(spm,[status(thm)],[c_0_67,c_0_21]) ).
cnf(c_0_73,plain,
( ~ 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_68]),c_0_69]) ).
cnf(c_0_74,plain,
( ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(g(X1))) ),
inference(sr,[status(thm)],[c_0_70,c_0_44]) ).
cnf(c_0_75,plain,
( 'E'('0',f(g(X1)))
| 'E'(s('0'),f(g(X1)))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_71,c_0_21]) ).
cnf(c_0_76,plain,
( ~ iLEQ(g(X2),X1)
| 'E'(s('0'),f(X1))
| 'E'(s(s('0')),f(g(X2)))
| 'E'(s(s(s('0'))),f(g(X2)))
| 'E'(s(s(s(s('0')))),f(g(X2)))
| 'LE'(f(X1),s('0')) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_72]),c_0_73]) ).
cnf(c_0_77,plain,
( 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(g(g(X1))),s('0')) ),
inference(spm,[status(thm)],[c_0_62,c_0_37]) ).
cnf(c_0_78,plain,
( 'E'(s('0'),f(g(X1)))
| 'E'('0',f(g(g(X1))))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_71,c_0_37]) ).
cnf(c_0_79,plain,
( 'E'('0',f(g(X1)))
| 'E'(s('0'),f(g(X1)))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_53]) ).
cnf(c_0_80,plain,
( 'E'(s('0'),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'LE'(f(g(X1)),s('0')) ),
inference(spm,[status(thm)],[c_0_76,c_0_21]) ).
cnf(c_0_81,plain,
( ~ iLEQ(g(g(X1)),X2)
| 'E'('0',f(X2))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_77]) ).
cnf(c_0_82,plain,
( 'E'(s('0'),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_78]),c_0_79]) ).
cnf(c_0_83,plain,
( 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'LE'(f(g(g(X1))),s('0')) ),
inference(spm,[status(thm)],[c_0_76,c_0_37]) ).
cnf(c_0_84,plain,
( ~ iLEQ(g(X1),X2)
| 'E'('0',f(X2))
| 'E'(s('0'),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_40,c_0_80]) ).
cnf(c_0_85,plain,
( 'E'('0',f(g(g(X1))))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_81,c_0_21]) ).
cnf(c_0_86,plain,
( 'E'(s('0'),f(g(X1)))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_82]),c_0_53]) ).
cnf(c_0_87,plain,
( ~ iLEQ(g(g(X1)),X2)
| 'E'('0',f(X2))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_40,c_0_83]) ).
cnf(c_0_88,plain,
( 'E'(s('0'),f(g(X1)))
| 'E'('0',f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_84,c_0_37]) ).
cnf(c_0_89,plain,
( 'E'('0',f(g(X1)))
| 'E'(s('0'),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_84,c_0_21]) ).
cnf(c_0_90,plain,
( 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(g(X1))))
| 'E'('0',f(g(g(g(X1)))))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_81,c_0_37]) ).
cnf(c_0_91,plain,
( 'E'('0',f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_85]),c_0_86]) ).
cnf(c_0_92,plain,
( 'E'('0',f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_87,c_0_21]) ).
cnf(c_0_93,plain,
( 'E'(s('0'),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_88]),c_0_89]) ).
cnf(c_0_94,plain,
( 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_90]),c_0_91]) ).
cnf(c_0_95,plain,
( 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(g(X1))))
| 'E'('0',f(g(g(g(X1)))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_87,c_0_37]) ).
cnf(c_0_96,plain,
( 'E'('0',f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_92]),c_0_93]) ).
cnf(c_0_97,plain,
( 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_94]),c_0_86]) ).
cnf(c_0_98,plain,
( 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_95]),c_0_96]) ).
cnf(c_0_99,plain,
( 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'LE'(f(g(g(X1))),s(s('0'))) ),
inference(spm,[status(thm)],[c_0_67,c_0_37]) ).
cnf(c_0_100,plain,
( ~ 'E'(s(s('0')),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_74,c_0_97]) ).
cnf(c_0_101,plain,
( 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_98]),c_0_93]) ).
cnf(c_0_102,plain,
( ~ iLEQ(g(g(X2)),X1)
| 'E'(s('0'),f(X1))
| 'E'(s(s('0')),f(g(g(X2))))
| 'E'(s(s(s('0'))),f(g(X2)))
| 'E'(s(s(s(s('0')))),f(g(X2)))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'LE'(f(X1),s('0')) ),
inference(spm,[status(thm)],[c_0_32,c_0_99]) ).
cnf(c_0_103,plain,
( ~ 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_100]),c_0_101]) ).
cnf(c_0_104,plain,
( 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'LE'(f(g(g(X1))),s('0')) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_21]),c_0_103]) ).
cnf(c_0_105,plain,
( ~ iLEQ(g(g(X1)),X2)
| 'E'('0',f(X2))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_40,c_0_104]) ).
cnf(c_0_106,plain,
( 'E'('0',f(g(g(X1))))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_105,c_0_21]) ).
cnf(c_0_107,plain,
( 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'LE'(f(g(g(g(X1)))),s('0')) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_37]),c_0_103]) ).
cnf(c_0_108,plain,
( 'E'(s('0'),f(g(g(X1))))
| 'E'('0',f(g(g(g(X1)))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_105,c_0_37]) ).
cnf(c_0_109,plain,
( 'E'('0',f(g(g(X1))))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_106]),c_0_101]) ).
cnf(c_0_110,plain,
( ~ iLEQ(g(g(g(X1))),X2)
| 'E'('0',f(X2))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_40,c_0_107]) ).
cnf(c_0_111,plain,
( 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_108]),c_0_109]) ).
cnf(c_0_112,plain,
( 'E'('0',f(g(g(g(X1)))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_110,c_0_21]) ).
cnf(c_0_113,plain,
( 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_111]),c_0_101]) ).
cnf(c_0_114,plain,
( 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(g(X1)),s(s(s('0')))) ),
inference(spm,[status(thm)],[c_0_25,c_0_37]) ).
cnf(c_0_115,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'LE'(f(g(g(X1))),s(s(s('0')))) ),
inference(spm,[status(thm)],[c_0_60,c_0_37]) ).
cnf(c_0_116,plain,
( ~ 'E'(s(s(s(s('0')))),f(g(X1)))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| 'E'(f(X1),f(g(X1))) ),
inference(fof_simplification,[status(thm)],[clause_12_30]) ).
cnf(c_0_117,plain,
( 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'('0',f(g(g(g(g(X1))))))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_110,c_0_37]) ).
cnf(c_0_118,plain,
( 'E'('0',f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_112]),c_0_113]) ).
cnf(c_0_119,plain,
( ~ iLEQ(g(X2),X1)
| 'E'(s(s('0')),f(X1))
| 'E'(s(s(s('0'))),f(g(X2)))
| 'E'(s(s(s(s('0')))),f(X2))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'LE'(f(X1),s(s('0'))) ),
inference(spm,[status(thm)],[c_0_26,c_0_114]) ).
cnf(c_0_120,plain,
( ~ iLEQ(g(g(X2)),X1)
| 'E'(s(s('0')),f(X1))
| 'E'(s(s(s('0'))),f(g(g(X2))))
| 'E'(s(s(s(s('0')))),f(g(X2)))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'LE'(f(X1),s(s('0'))) ),
inference(spm,[status(thm)],[c_0_26,c_0_115]) ).
cnf(c_0_121,plain,
( ~ 'E'(s(s(s(s('0')))),f(g(X1)))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| 'E'(f(X1),f(g(X1))) ),
c_0_116 ).
cnf(c_0_122,plain,
( 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_117]),c_0_118]) ).
cnf(c_0_123,plain,
( 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(g(X1)),s(s('0'))) ),
inference(spm,[status(thm)],[c_0_119,c_0_21]) ).
cnf(c_0_124,plain,
( 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'LE'(f(g(g(X1))),s(s('0'))) ),
inference(spm,[status(thm)],[c_0_120,c_0_21]) ).
cnf(c_0_125,plain,
( ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(sr,[status(thm)],[c_0_121,c_0_44]) ).
cnf(c_0_126,plain,
( 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_122]),c_0_113]) ).
cnf(c_0_127,plain,
( ~ iLEQ(g(X2),X1)
| 'E'(s('0'),f(X1))
| 'E'(s(s('0')),f(g(X2)))
| 'E'(s(s(s('0'))),f(g(X2)))
| 'E'(s(s(s(s('0')))),f(X2))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'LE'(f(X1),s('0')) ),
inference(spm,[status(thm)],[c_0_32,c_0_123]) ).
cnf(c_0_128,plain,
( ~ iLEQ(g(g(X2)),X1)
| 'E'(s('0'),f(X1))
| 'E'(s(s('0')),f(g(g(X2))))
| 'E'(s(s(s('0'))),f(g(g(X2))))
| 'E'(s(s(s(s('0')))),f(g(X2)))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'LE'(f(X1),s('0')) ),
inference(spm,[status(thm)],[c_0_32,c_0_124]) ).
cnf(c_0_129,plain,
( ~ 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_125,c_0_101]) ).
cnf(c_0_130,plain,
( 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_126]),c_0_101]) ).
cnf(c_0_131,plain,
( 'E'(s('0'),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(g(X1)),s('0')) ),
inference(spm,[status(thm)],[c_0_127,c_0_21]) ).
cnf(c_0_132,plain,
( 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(g(g(X1))),s(s('0'))) ),
inference(spm,[status(thm)],[c_0_119,c_0_37]) ).
cnf(c_0_133,plain,
( ~ 'E'(s(s(s('0'))),f(g(X1)))
| ~ 'E'(s(s(s('0'))),f(X1))
| 'E'(f(X1),f(g(X1))) ),
inference(fof_simplification,[status(thm)],[clause_21_11]) ).
cnf(c_0_134,plain,
( 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'LE'(f(g(g(X1))),s('0')) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_21]),c_0_129]) ).
cnf(c_0_135,plain,
( 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(g(g(X1))),s('0')) ),
inference(spm,[status(thm)],[c_0_127,c_0_37]) ).
cnf(c_0_136,plain,
( ~ 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_125,c_0_130]) ).
cnf(c_0_137,plain,
( ~ iLEQ(g(X1),X2)
| 'E'('0',f(X2))
| 'E'(s('0'),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_131]),c_0_129]) ).
cnf(c_0_138,plain,
( ~ iLEQ(g(g(X2)),X1)
| 'E'(s('0'),f(X1))
| 'E'(s(s('0')),f(g(g(X2))))
| 'E'(s(s(s('0'))),f(g(X2)))
| 'E'(s(s(s(s('0')))),f(X2))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'LE'(f(X1),s('0')) ),
inference(spm,[status(thm)],[c_0_32,c_0_132]) ).
cnf(c_0_139,plain,
( ~ 'E'(s(s(s('0'))),f(g(X1)))
| ~ 'E'(s(s(s('0'))),f(X1))
| 'E'(f(X1),f(g(X1))) ),
c_0_133 ).
cnf(c_0_140,plain,
( ~ iLEQ(g(g(X1)),X2)
| 'E'('0',f(X2))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_134]) ).
cnf(c_0_141,plain,
( ~ iLEQ(g(g(X1)),X2)
| 'E'('0',f(X2))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_135]),c_0_136]) ).
cnf(c_0_142,plain,
( 'E'(s('0'),f(g(X1)))
| 'E'('0',f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_137,c_0_37]) ).
cnf(c_0_143,plain,
( 'E'('0',f(g(X1)))
| 'E'(s('0'),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_137,c_0_21]) ).
cnf(c_0_144,plain,
( 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(g(g(X1))),s('0')) ),
inference(spm,[status(thm)],[c_0_138,c_0_21]) ).
cnf(c_0_145,plain,
( ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(g(X1))) ),
inference(sr,[status(thm)],[c_0_139,c_0_44]) ).
cnf(c_0_146,plain,
( 'E'('0',f(g(g(X1))))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(g(X1)))) ),
inference(spm,[status(thm)],[c_0_140,c_0_21]) ).
cnf(c_0_147,plain,
( 'E'('0',f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_141,c_0_21]) ).
cnf(c_0_148,plain,
( 'E'(s('0'),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_142]),c_0_143]) ).
cnf(c_0_149,plain,
( ~ iLEQ(g(g(X1)),X2)
| 'E'('0',f(X2))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_144]),c_0_136]) ).
cnf(c_0_150,plain,
( ~ 'E'(s(s(s('0'))),f(g(X1)))
| 'E'('0',f(g(g(X1))))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_151,plain,
( 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(g(X1))))
| 'E'('0',f(g(g(g(X1)))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_141,c_0_37]) ).
cnf(c_0_152,plain,
( 'E'('0',f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_147]),c_0_148]) ).
cnf(c_0_153,plain,
( 'E'(s('0'),f(g(g(X1))))
| 'E'('0',f(g(g(g(X1)))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_149,c_0_37]) ).
cnf(c_0_154,plain,
( 'E'('0',f(g(g(X1))))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_21]),c_0_150]) ).
cnf(c_0_155,plain,
( 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_151]),c_0_152]) ).
cnf(c_0_156,plain,
( 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(g(g(g(X1)))),s('0')) ),
inference(spm,[status(thm)],[c_0_138,c_0_37]) ).
cnf(c_0_157,plain,
( 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'LE'(f(g(g(g(X1)))),s('0')) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_37]),c_0_129]) ).
cnf(c_0_158,plain,
( 'E'(s('0'),f(g(g(X1))))
| 'E'('0',f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(g(X1)))) ),
inference(spm,[status(thm)],[c_0_140,c_0_37]) ).
cnf(c_0_159,plain,
( 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_153]),c_0_154]) ).
cnf(c_0_160,plain,
( 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_155]),c_0_148]) ).
cnf(c_0_161,plain,
( ~ iLEQ(g(g(g(X1))),X2)
| 'E'('0',f(X2))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_156]),c_0_136]) ).
cnf(c_0_162,plain,
( ~ iLEQ(g(g(g(X1))),X2)
| 'E'('0',f(X2))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_157]) ).
cnf(c_0_163,plain,
( 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_158]),c_0_154]) ).
cnf(c_0_164,plain,
( 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_159]),c_0_160]) ).
cnf(c_0_165,plain,
( 'E'('0',f(g(g(g(X1)))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_161,c_0_21]) ).
cnf(c_0_166,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s('0')),f(g(g(g(X1)))))
| 'LE'(f(g(g(g(X1)))),s(s('0'))) ),
inference(spm,[status(thm)],[c_0_120,c_0_37]) ).
cnf(c_0_167,plain,
( 'E'('0',f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(g(X1)))) ),
inference(spm,[status(thm)],[c_0_162,c_0_21]) ).
cnf(c_0_168,plain,
( 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_163]),c_0_164]) ).
cnf(c_0_169,plain,
( 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'('0',f(g(g(g(g(X1))))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_161,c_0_37]) ).
cnf(c_0_170,plain,
( 'E'('0',f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_165]),c_0_164]) ).
cnf(c_0_171,plain,
( ~ iLEQ(g(g(g(X2))),X1)
| 'E'(s('0'),f(X1))
| 'E'(s(s('0')),f(g(g(g(X2)))))
| 'E'(s(s(s('0'))),f(g(g(X2))))
| 'E'(s(s(s(s('0')))),f(g(X2)))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'LE'(f(X1),s('0')) ),
inference(spm,[status(thm)],[c_0_32,c_0_166]) ).
cnf(c_0_172,plain,
( 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'('0',f(g(g(g(g(X1))))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(g(X1)))) ),
inference(spm,[status(thm)],[c_0_162,c_0_37]) ).
cnf(c_0_173,plain,
( 'E'('0',f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_167]),c_0_168]) ).
cnf(c_0_174,plain,
( 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_169]),c_0_170]) ).
cnf(c_0_175,plain,
( 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s('0')),f(g(g(g(X1)))))
| 'LE'(f(g(g(g(X1)))),s('0')) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_21]),c_0_136]) ).
cnf(c_0_176,plain,
( 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_172]),c_0_173]) ).
cnf(c_0_177,plain,
( 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_174]),c_0_164]) ).
cnf(c_0_178,plain,
( ~ iLEQ(g(g(g(X1))),X2)
| 'E'('0',f(X2))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(g(X1)))))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_175]) ).
cnf(c_0_179,plain,
( 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(g(X1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_176]),c_0_168]) ).
cnf(c_0_180,plain,
( 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_177]),c_0_160]) ).
cnf(c_0_181,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s('0')),f(g(g(g(X1)))))
| 'E'(s('0'),f(g(g(g(g(X1))))))
| 'LE'(f(g(g(g(g(X1))))),s('0')) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_37]),c_0_136]) ).
cnf(c_0_182,plain,
( 'E'('0',f(g(g(g(X1)))))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s('0')),f(g(g(g(X1))))) ),
inference(spm,[status(thm)],[c_0_178,c_0_21]) ).
cnf(c_0_183,plain,
( 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_179]),c_0_180]) ).
cnf(c_0_184,plain,
( ~ iLEQ(g(g(g(g(X1)))),X2)
| 'E'('0',f(X2))
| 'E'(s('0'),f(g(g(g(g(X1))))))
| 'E'(s(s('0')),f(g(g(g(X1)))))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_181]) ).
cnf(c_0_185,plain,
( 'E'(s('0'),f(g(g(g(X1)))))
| 'E'('0',f(g(g(g(g(X1))))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s('0')),f(g(g(g(X1))))) ),
inference(spm,[status(thm)],[c_0_178,c_0_37]) ).
cnf(c_0_186,plain,
( 'E'('0',f(g(g(g(X1)))))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_182]),c_0_183]) ).
cnf(c_0_187,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s('0')),f(g(g(g(X1)))))
| 'E'(s('0'),f(g(g(g(g(X1))))))
| 'E'('0',f(g(g(g(g(g(X1))))))) ),
inference(spm,[status(thm)],[c_0_184,c_0_37]) ).
cnf(c_0_188,plain,
( 'E'('0',f(g(g(g(g(X1))))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s('0')),f(g(g(g(X1)))))
| 'E'(s('0'),f(g(g(g(g(X1)))))) ),
inference(spm,[status(thm)],[c_0_184,c_0_21]) ).
cnf(c_0_189,plain,
( 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(g(X1)))))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_185]),c_0_186]) ).
cnf(c_0_190,plain,
( 'E'(s('0'),f(g(g(g(g(X1))))))
| 'E'(s(s('0')),f(g(g(g(X1)))))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_187]),c_0_188]) ).
cnf(c_0_191,plain,
( 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(g(X1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_189]),c_0_183]) ).
cnf(c_0_192,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s('0')),f(g(g(g(X1))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_190]),c_0_191]) ).
cnf(c_0_193,plain,
( 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_192]),c_0_183]) ).
cnf(c_0_194,plain,
'E'(s(s(s(s(s('0'))))),f(X1)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_193]),c_0_180]) ).
cnf(c_0_195,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_194]),c_0_194])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO630-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n010.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 12:06:25 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.49 % Version: 3.5.1
% 0.17/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.49 % Starting sh5l with 300s (1) cores
% 0.17/0.49 % new_bool_1 with pid 831605 completed with status 9
% 0.17/0.49 % sh5l with pid 831606 completed with status 9
% 0.17/0.49 % new_bool_3 with pid 831604 completed with status 9
% 0.17/0.49 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 831603 completed with status 0
% 0.17/0.49 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.49 % No SInE strategy applied
% 0.17/0.49 % Search class: FGUNM-FFMF11-MFFFFFNN
% 0.17/0.49 % partial match(1): FGUNM-FFMF21-MFFFFFNN
% 0.17/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.49 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.17/0.49 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.17/0.49 % Starting new_bool_3 with 136s (1) cores
% 0.17/0.49 % Starting new_bool_1 with 136s (1) cores
% 0.17/0.49 % SubtermCWHack with pid 831610 completed with status 0
% 0.17/0.49 % Result found by SubtermCWHack
% 0.17/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.49 % No SInE strategy applied
% 0.17/0.49 % Search class: FGUNM-FFMF11-MFFFFFNN
% 0.17/0.49 % partial match(1): FGUNM-FFMF21-MFFFFFNN
% 0.17/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.49 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.49 % Preprocessing time : 0.001 s
% 0.17/0.49
% 0.17/0.49 % Proof found!
% 0.17/0.49 % SZS status Unsatisfiable
% 0.17/0.49 % SZS output start CNFRefutation
% See solution above
% 0.17/0.50 % Parsed axioms : 32
% 0.17/0.50 % Removed by relevancy pruning/SinE : 0
% 0.17/0.50 % Initial clauses : 32
% 0.17/0.50 % Removed in clause preprocessing : 0
% 0.17/0.50 % Initial clauses in saturation : 32
% 0.17/0.50 % Processed clauses : 300
% 0.17/0.50 % ...of these trivial : 10
% 0.17/0.50 % ...subsumed : 32
% 0.17/0.50 % ...remaining for further processing : 258
% 0.17/0.50 % Other redundant clauses eliminated : 0
% 0.17/0.50 % Clauses deleted for lack of memory : 0
% 0.17/0.50 % Backward-subsumed : 221
% 0.17/0.50 % Backward-rewritten : 16
% 0.17/0.50 % Generated clauses : 412
% 0.17/0.50 % ...of the previous two non-redundant : 316
% 0.17/0.50 % ...aggressively subsumed : 0
% 0.17/0.50 % Contextual simplify-reflections : 66
% 0.17/0.50 % Paramodulations : 412
% 0.17/0.50 % Factorizations : 0
% 0.17/0.50 % NegExts : 0
% 0.17/0.50 % Equation resolutions : 0
% 0.17/0.50 % Disequality decompositions : 0
% 0.17/0.50 % Total rewrite steps : 28
% 0.17/0.50 % ...of those cached : 23
% 0.17/0.50 % Propositional unsat checks : 0
% 0.17/0.50 % Propositional check models : 0
% 0.17/0.50 % Propositional check unsatisfiable : 0
% 0.17/0.50 % Propositional clauses : 0
% 0.17/0.50 % Propositional clauses after purity: 0
% 0.17/0.50 % Propositional unsat core size : 0
% 0.17/0.50 % Propositional preprocessing time : 0.000
% 0.17/0.50 % Propositional encoding time : 0.000
% 0.17/0.50 % Propositional solver time : 0.000
% 0.17/0.50 % Success case prop preproc time : 0.000
% 0.17/0.50 % Success case prop encoding time : 0.000
% 0.17/0.50 % Success case prop solver time : 0.000
% 0.17/0.50 % Current number of processed clauses : 21
% 0.17/0.50 % Positive orientable unit clauses : 3
% 0.17/0.50 % Positive unorientable unit clauses: 0
% 0.17/0.50 % Negative unit clauses : 2
% 0.17/0.50 % Non-unit-clauses : 16
% 0.17/0.50 % Current number of unprocessed clauses: 7
% 0.17/0.50 % ...number of literals in the above : 28
% 0.17/0.50 % Current number of archived formulas : 0
% 0.17/0.50 % Current number of archived clauses : 237
% 0.17/0.50 % Clause-clause subsumption calls (NU) : 5175
% 0.17/0.50 % Rec. Clause-clause subsumption calls : 2087
% 0.17/0.50 % Non-unit clause-clause subsumptions : 311
% 0.17/0.50 % Unit Clause-clause subsumption calls : 5
% 0.17/0.50 % Rewrite failures with RHS unbound : 0
% 0.17/0.50 % BW rewrite match attempts : 13
% 0.17/0.50 % BW rewrite match successes : 3
% 0.17/0.50 % Condensation attempts : 0
% 0.17/0.50 % Condensation successes : 0
% 0.17/0.50 % Termbank termtop insertions : 23433
% 0.17/0.50 % Search garbage collected termcells : 61
% 0.17/0.50
% 0.17/0.50 % -------------------------------------------------
% 0.17/0.50 % User time : 0.042 s
% 0.17/0.50 % System time : 0.003 s
% 0.17/0.50 % Total time : 0.045 s
% 0.17/0.50 % Maximum resident set size: 3652 pages
% 0.17/0.50
% 0.17/0.50 % -------------------------------------------------
% 0.17/0.50 % User time : 0.256 s
% 0.17/0.50 % System time : 0.047 s
% 0.17/0.50 % Total time : 0.303 s
% 0.17/0.50 % Maximum resident set size: 4864 pages
% 0.17/0.50 % E exiting
%------------------------------------------------------------------------------