TSTP Solution File: SYO630-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYO630-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 04:12:08 EDT 2023
% Result : Unsatisfiable 0.51s 0.59s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 23
% Syntax : Number of formulae : 198 ( 11 unt; 7 typ; 0 def)
% Number of atoms : 826 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 768 ( 133 ~; 635 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 6 >; 3 *; 0 +; 0 <<)
% 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 : 232 ( 4 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
'0': $i ).
tff(decl_23,type,
s: $i > $i ).
tff(decl_24,type,
f: $i > $i ).
tff(decl_25,type,
'E': ( $i * $i ) > $o ).
tff(decl_26,type,
'LE': ( $i * $i ) > $o ).
tff(decl_27,type,
g: $i > $i ).
tff(decl_28,type,
iLEQ: ( $i * $i ) > $o ).
cnf(clause_7_16,axiom,
( 'E'(s(s(s(s('0')))),f(X2))
| 'LE'(f(X2),s(s(s(s('0')))))
| ~ 'LE'(f(X1),s(s(s(s(s('0'))))))
| ~ iLEQ(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7_16) ).
cnf(clause_8_01,axiom,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s('0')))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8_01) ).
cnf(clause_18_04,axiom,
iLEQ(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18_04) ).
cnf(clause_26_17,axiom,
( 'E'(s(s(s('0'))),f(X2))
| 'LE'(f(X2),s(s(s('0'))))
| ~ 'LE'(f(X1),s(s(s(s('0')))))
| ~ iLEQ(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26_17) ).
cnf(clause_16_15,axiom,
( 'E'(s(s('0')),f(X2))
| 'LE'(f(X2),s(s('0')))
| ~ 'LE'(f(X1),s(s(s('0'))))
| ~ iLEQ(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16_15) ).
cnf(clause_17_32,axiom,
( 'E'(s('0'),f(X2))
| 'LE'(f(X2),s('0'))
| ~ 'LE'(f(X1),s(s('0')))
| ~ iLEQ(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17_32) ).
cnf(clause_1_06,axiom,
( 'E'('0',f(X2))
| 'LE'(f(X2),'0')
| ~ 'LE'(f(X1),s('0'))
| ~ iLEQ(X1,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_3_10,axiom,
( 'E'(f(X1),f(g(X1)))
| ~ 'E'(s(s(s(s(s('0'))))),f(X1))
| ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3_10) ).
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'(f(X1),f(g(X1)))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(g(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30_13) ).
cnf(clause_29_24,axiom,
( 'E'(f(X1),f(g(X1)))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(g(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29_24) ).
cnf(clause_12_30,axiom,
( 'E'(f(X1),f(g(X1)))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12_30) ).
cnf(clause_27_12,axiom,
( 'E'(f(X1),f(g(X1)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(g(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27_12) ).
cnf(clause_21_11,axiom,
( 'E'(f(X1),f(g(X1)))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(g(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21_11) ).
cnf(c_0_16,axiom,
( 'E'(s(s(s(s('0')))),f(X2))
| 'LE'(f(X2),s(s(s(s('0')))))
| ~ 'LE'(f(X1),s(s(s(s(s('0'))))))
| ~ iLEQ(X1,X2) ),
clause_7_16 ).
cnf(c_0_17,axiom,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s('0')))))) ),
clause_8_01 ).
cnf(c_0_18,plain,
( 'LE'(f(X1),s(s(s(s('0')))))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'E'(s(s(s(s('0')))),f(X1))
| ~ iLEQ(X2,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,axiom,
iLEQ(X1,X1),
clause_18_04 ).
cnf(c_0_20,axiom,
( 'E'(s(s(s('0'))),f(X2))
| 'LE'(f(X2),s(s(s('0'))))
| ~ 'LE'(f(X1),s(s(s(s('0')))))
| ~ iLEQ(X1,X2) ),
clause_26_17 ).
cnf(c_0_21,plain,
( 'LE'(f(X1),s(s(s(s('0')))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
( 'LE'(f(X1),s(s(s('0'))))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'E'(s(s(s(s('0')))),f(X2))
| 'E'(s(s(s('0'))),f(X1))
| ~ iLEQ(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,axiom,
( 'E'(s(s('0')),f(X2))
| 'LE'(f(X2),s(s('0')))
| ~ 'LE'(f(X1),s(s(s('0'))))
| ~ iLEQ(X1,X2) ),
clause_16_15 ).
cnf(c_0_24,plain,
( 'LE'(f(X1),s(s(s('0'))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(X1)) ),
inference(spm,[status(thm)],[c_0_22,c_0_19]) ).
cnf(c_0_25,plain,
( 'LE'(f(X1),s(s('0')))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'E'(s(s(s(s('0')))),f(X2))
| 'E'(s(s(s('0'))),f(X2))
| 'E'(s(s('0')),f(X1))
| ~ iLEQ(X2,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,axiom,
( 'E'(s('0'),f(X2))
| 'LE'(f(X2),s('0'))
| ~ 'LE'(f(X1),s(s('0')))
| ~ iLEQ(X1,X2) ),
clause_17_32 ).
cnf(c_0_27,plain,
( 'LE'(f(X1),s(s('0')))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s('0')),f(X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_19]) ).
cnf(c_0_28,axiom,
( 'E'('0',f(X2))
| 'LE'(f(X2),'0')
| ~ 'LE'(f(X1),s('0'))
| ~ iLEQ(X1,X2) ),
clause_1_06 ).
cnf(c_0_29,axiom,
~ 'LE'(f(X1),'0'),
clause_6_07 ).
cnf(c_0_30,plain,
( 'LE'(f(X1),s('0'))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'E'(s(s(s(s('0')))),f(X2))
| 'E'(s(s(s('0'))),f(X2))
| 'E'(s(s('0')),f(X2))
| 'E'(s('0'),f(X1))
| ~ iLEQ(X2,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,axiom,
iLEQ(X1,g(X1)),
clause_13_02 ).
cnf(c_0_32,axiom,
( 'E'(f(X1),f(g(X1)))
| ~ 'E'(s(s(s(s(s('0'))))),f(X1))
| ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
clause_3_10 ).
cnf(c_0_33,axiom,
~ 'E'(f(X1),f(g(X1))),
clause_31_05 ).
cnf(c_0_34,plain,
( 'E'('0',f(X1))
| ~ iLEQ(X2,X1)
| ~ 'LE'(f(X2),s('0')) ),
inference(sr,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,plain,
( 'LE'(f(g(X1)),s('0'))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s('0'),f(g(X1)))
| 'E'(s(s('0')),f(X1)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
( ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
| ~ 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(sr,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
( 'LE'(f(X1),s('0'))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s('0')),f(X1))
| 'E'(s('0'),f(X1)) ),
inference(spm,[status(thm)],[c_0_30,c_0_19]) ).
cnf(c_0_38,axiom,
( 'E'(f(X1),f(g(X1)))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(g(X1))) ),
clause_30_13 ).
cnf(c_0_39,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s('0')),f(X1))
| 'E'(s('0'),f(g(X1)))
| 'E'('0',f(X2))
| ~ iLEQ(g(X1),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,plain,
( 'LE'(f(g(X1)),s('0'))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(X1)))
| ~ 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,axiom,
( 'E'(f(X1),f(g(X1)))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(g(X1))) ),
clause_29_24 ).
cnf(c_0_42,plain,
( 'LE'(f(g(X1)),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_18,c_0_31]) ).
cnf(c_0_43,plain,
( ~ 'E'(s('0'),f(g(X1)))
| ~ 'E'(s('0'),f(X1)) ),
inference(sr,[status(thm)],[c_0_38,c_0_33]) ).
cnf(c_0_44,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s('0'),f(g(X1)))
| 'E'(s(s('0')),f(X1))
| 'E'('0',f(g(X1))) ),
inference(spm,[status(thm)],[c_0_39,c_0_19]) ).
cnf(c_0_45,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(X1)))
| 'E'('0',f(X2))
| ~ iLEQ(g(X1),X2)
| ~ 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_34,c_0_40]) ).
cnf(c_0_46,plain,
( ~ 'E'('0',f(g(X1)))
| ~ 'E'('0',f(X1)) ),
inference(sr,[status(thm)],[c_0_41,c_0_33]) ).
cnf(c_0_47,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'('0',f(g(g(X1))))
| 'E'(s('0'),f(g(X1)))
| 'E'(s(s('0')),f(X1)) ),
inference(spm,[status(thm)],[c_0_39,c_0_31]) ).
cnf(c_0_48,plain,
( 'LE'(f(X1),s(s(s('0'))))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'E'(s(s(s(s('0')))),f(g(X2)))
| 'E'(s(s(s('0'))),f(X1))
| ~ iLEQ(g(X2),X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_42]) ).
cnf(c_0_49,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s('0')),f(X1))
| 'E'('0',f(g(X1)))
| ~ 'E'(s('0'),f(X1)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'('0',f(g(g(X1))))
| 'E'(s('0'),f(g(X1)))
| ~ 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_45,c_0_31]) ).
cnf(c_0_51,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s('0')),f(X1))
| 'E'(s('0'),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_44]) ).
cnf(c_0_52,plain,
( 'LE'(f(g(X1)),s(s(s('0'))))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_48,c_0_19]) ).
cnf(c_0_53,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'('0',f(g(g(X1))))
| ~ 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,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('0')))),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s('0')),f(X1))
| ~ 'E'(s('0'),f(X1)) ),
inference(spm,[status(thm)],[c_0_43,c_0_51]) ).
cnf(c_0_55,plain,
( 'LE'(f(X1),s(s('0')))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'E'(s(s(s(s('0')))),f(g(X2)))
| 'E'(s(s(s('0'))),f(g(X2)))
| 'E'(s(s('0')),f(X1))
| ~ iLEQ(g(X2),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_52]) ).
cnf(c_0_56,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| ~ 'E'(s(s(s(s(s('0'))))),f(X1))
| ~ 'E'('0',f(g(X1))) ),
inference(spm,[status(thm)],[c_0_46,c_0_53]) ).
cnf(c_0_57,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| ~ 'E'(s(s(s(s(s('0'))))),f(X1))
| ~ 'E'(s('0'),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_36,c_0_54]) ).
cnf(c_0_58,plain,
( 'LE'(f(g(X1)),s(s('0')))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_55,c_0_19]) ).
cnf(c_0_59,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| ~ 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_19]),c_0_56]),c_0_57]) ).
cnf(c_0_60,plain,
( 'LE'(f(X1),s('0'))
| 'E'(s(s(s(s('0')))),f(g(X2)))
| 'E'(s(s(s('0'))),f(g(X2)))
| 'E'(s(s('0')),f(g(X2)))
| 'E'(s('0'),f(X1))
| ~ iLEQ(g(X2),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_58]),c_0_59]) ).
cnf(c_0_61,plain,
( 'LE'(f(g(X1)),s('0'))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_60,c_0_19]) ).
cnf(c_0_62,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(X1)))
| 'E'('0',f(X2))
| ~ iLEQ(g(X1),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_61]) ).
cnf(c_0_63,plain,
( 'LE'(f(g(g(X1))),s('0'))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_60,c_0_31]) ).
cnf(c_0_64,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'('0',f(g(g(X1))))
| 'E'(s('0'),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_62,c_0_31]) ).
cnf(c_0_65,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(g(X1))))
| 'E'('0',f(X2))
| ~ iLEQ(g(g(X1)),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_63]) ).
cnf(c_0_66,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(X1)))
| ~ 'E'('0',f(g(X1))) ),
inference(spm,[status(thm)],[c_0_46,c_0_64]) ).
cnf(c_0_67,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1)))
| 'E'('0',f(g(g(X1)))) ),
inference(spm,[status(thm)],[c_0_65,c_0_19]) ).
cnf(c_0_68,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_19]),c_0_66]) ).
cnf(c_0_69,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'('0',f(g(g(g(X1)))))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_65,c_0_31]) ).
cnf(c_0_70,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'('0',f(g(g(X1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_67]),c_0_68]) ).
cnf(c_0_71,plain,
( 'LE'(f(g(g(X1))),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_48,c_0_31]) ).
cnf(c_0_72,axiom,
( 'E'(f(X1),f(g(X1)))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
clause_12_30 ).
cnf(c_0_73,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(g(X1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_69]),c_0_70]) ).
cnf(c_0_74,plain,
( 'LE'(f(g(X1)),s(s(s('0'))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(X1)) ),
inference(spm,[status(thm)],[c_0_22,c_0_31]) ).
cnf(c_0_75,plain,
( 'LE'(f(X1),s(s('0')))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'E'(s(s(s(s('0')))),f(g(X2)))
| 'E'(s(s(s('0'))),f(g(g(X2))))
| 'E'(s(s('0')),f(X1))
| ~ iLEQ(g(g(X2)),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_71]) ).
cnf(c_0_76,plain,
( ~ 'E'(s(s(s(s('0')))),f(g(X1)))
| ~ 'E'(s(s(s(s('0')))),f(X1)) ),
inference(sr,[status(thm)],[c_0_72,c_0_33]) ).
cnf(c_0_77,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_73]),c_0_68]) ).
cnf(c_0_78,plain,
( 'LE'(f(X1),s(s('0')))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'E'(s(s(s(s('0')))),f(X2))
| 'E'(s(s(s('0'))),f(g(X2)))
| 'E'(s(s('0')),f(X1))
| ~ iLEQ(g(X2),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_74]) ).
cnf(c_0_79,plain,
( 'LE'(f(g(g(X1))),s(s('0')))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(g(X1)))) ),
inference(spm,[status(thm)],[c_0_75,c_0_19]) ).
cnf(c_0_80,plain,
( 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| ~ 'E'(s(s(s(s('0')))),f(X1)) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_81,plain,
( 'LE'(f(g(X1)),s(s('0')))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s('0')),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_78,c_0_19]) ).
cnf(c_0_82,plain,
( 'LE'(f(X1),s('0'))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'E'(s(s(s('0'))),f(g(g(X2))))
| 'E'(s(s('0')),f(g(g(X2))))
| 'E'(s('0'),f(X1))
| ~ iLEQ(g(g(X2)),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_79]),c_0_80]) ).
cnf(c_0_83,plain,
( 'LE'(f(X1),s('0'))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'E'(s(s(s(s('0')))),f(X2))
| 'E'(s(s(s('0'))),f(g(X2)))
| 'E'(s(s('0')),f(g(X2)))
| 'E'(s('0'),f(X1))
| ~ iLEQ(g(X2),X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_81]) ).
cnf(c_0_84,plain,
( 'LE'(f(g(g(X1))),s('0'))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s('0'),f(g(g(X1)))) ),
inference(spm,[status(thm)],[c_0_82,c_0_19]) ).
cnf(c_0_85,plain,
( 'LE'(f(g(X1)),s(s('0')))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_31]) ).
cnf(c_0_86,plain,
( 'LE'(f(g(X1)),s('0'))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_83,c_0_19]) ).
cnf(c_0_87,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(X1))))
| 'E'(s('0'),f(g(g(X1))))
| 'E'('0',f(X2))
| ~ iLEQ(g(g(X1)),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_84]) ).
cnf(c_0_88,plain,
( 'LE'(f(X1),s('0'))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'E'(s(s(s(s('0')))),f(X2))
| 'E'(s(s(s('0'))),f(X2))
| 'E'(s(s('0')),f(g(X2)))
| 'E'(s('0'),f(X1))
| ~ iLEQ(g(X2),X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_85]) ).
cnf(c_0_89,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(X1)))
| 'E'('0',f(X2))
| ~ iLEQ(g(X1),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_86]) ).
cnf(c_0_90,plain,
( 'LE'(f(g(g(g(X1)))),s('0'))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(X1)))) ),
inference(spm,[status(thm)],[c_0_82,c_0_31]) ).
cnf(c_0_91,plain,
( 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'('0',f(g(g(g(X1)))))
| 'E'(s('0'),f(g(g(X1)))) ),
inference(spm,[status(thm)],[c_0_87,c_0_31]) ).
cnf(c_0_92,plain,
( 'LE'(f(g(X1)),s('0'))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s('0'),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_88,c_0_19]) ).
cnf(c_0_93,plain,
( 'LE'(f(g(g(X1))),s('0'))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_31]),c_0_80]) ).
cnf(c_0_94,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'('0',f(g(g(X1))))
| 'E'(s('0'),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_31]),c_0_80]) ).
cnf(c_0_95,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(X1))))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'('0',f(X2))
| ~ iLEQ(g(g(g(X1))),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_90]) ).
cnf(c_0_96,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(X1))))
| 'E'(s('0'),f(g(g(X1))))
| ~ 'E'('0',f(g(g(X1)))) ),
inference(spm,[status(thm)],[c_0_46,c_0_91]) ).
cnf(c_0_97,axiom,
( 'E'(f(X1),f(g(X1)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(g(X1))) ),
clause_27_12 ).
cnf(c_0_98,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(X1)))
| 'E'('0',f(X2))
| ~ iLEQ(g(X1),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_92]) ).
cnf(c_0_99,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(g(X1))))
| 'E'('0',f(X2))
| ~ iLEQ(g(g(X1)),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_93]) ).
cnf(c_0_100,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(X1)))
| ~ 'E'('0',f(g(X1))) ),
inference(spm,[status(thm)],[c_0_46,c_0_94]) ).
cnf(c_0_101,plain,
( 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'('0',f(g(g(g(X1))))) ),
inference(spm,[status(thm)],[c_0_95,c_0_19]) ).
cnf(c_0_102,plain,
( 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s('0'),f(g(g(X1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_19]),c_0_96]) ).
cnf(c_0_103,axiom,
( 'E'(f(X1),f(g(X1)))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(g(X1))) ),
clause_21_11 ).
cnf(c_0_104,plain,
( ~ 'E'(s(s('0')),f(g(X1)))
| ~ 'E'(s(s('0')),f(X1)) ),
inference(sr,[status(thm)],[c_0_97,c_0_33]) ).
cnf(c_0_105,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s('0'),f(g(X1)))
| 'E'('0',f(g(X1))) ),
inference(spm,[status(thm)],[c_0_98,c_0_19]) ).
cnf(c_0_106,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1)))
| 'E'('0',f(g(g(X1)))) ),
inference(spm,[status(thm)],[c_0_99,c_0_19]) ).
cnf(c_0_107,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_19]),c_0_100]),c_0_80]) ).
cnf(c_0_108,plain,
( 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'('0',f(g(g(g(g(X1))))))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(X1)))) ),
inference(spm,[status(thm)],[c_0_95,c_0_31]) ).
cnf(c_0_109,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(X1))))
| 'E'('0',f(g(g(g(X1))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_101]),c_0_102]) ).
cnf(c_0_110,plain,
( 'LE'(f(g(g(X1))),s(s('0')))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_55,c_0_31]) ).
cnf(c_0_111,plain,
( ~ 'E'(s(s(s('0'))),f(g(X1)))
| ~ 'E'(s(s(s('0'))),f(X1)) ),
inference(sr,[status(thm)],[c_0_103,c_0_33]) ).
cnf(c_0_112,plain,
( 'LE'(f(g(g(X1))),s('0'))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(X1)) ),
inference(spm,[status(thm)],[c_0_88,c_0_31]) ).
cnf(c_0_113,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(X1))
| 'E'('0',f(g(g(X1))))
| 'E'(s('0'),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_98,c_0_31]) ).
cnf(c_0_114,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s('0'),f(g(X1)))
| 'E'('0',f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_51]) ).
cnf(c_0_115,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'('0',f(g(g(g(X1)))))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_99,c_0_31]) ).
cnf(c_0_116,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'('0',f(g(g(X1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_106]),c_0_107]) ).
cnf(c_0_117,plain,
( 'LE'(f(g(g(X1))),s(s('0')))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s(s(s('0')))),f(X1)) ),
inference(spm,[status(thm)],[c_0_78,c_0_31]) ).
cnf(c_0_118,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(X1))))
| 'E'(s('0'),f(g(g(g(X1))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_108]),c_0_109]) ).
cnf(c_0_119,plain,
( 'LE'(f(X1),s('0'))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'E'(s(s(s(s('0')))),f(g(X2)))
| 'E'(s(s(s('0'))),f(g(X2)))
| 'E'(s(s('0')),f(g(g(X2))))
| 'E'(s('0'),f(X1))
| ~ iLEQ(g(g(X2)),X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_110]) ).
cnf(c_0_120,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s('0'),f(g(g(X1))))
| ~ 'E'(s(s(s('0'))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_111,c_0_102]) ).
cnf(c_0_121,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(g(X1))))
| 'E'('0',f(X2))
| ~ iLEQ(g(g(X1)),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_112]) ).
cnf(c_0_122,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_113]),c_0_114]) ).
cnf(c_0_123,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(g(X1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_115]),c_0_116]) ).
cnf(c_0_124,plain,
( 'LE'(f(X1),s('0'))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'E'(s(s(s(s('0')))),f(X2))
| 'E'(s(s(s('0'))),f(g(X2)))
| 'E'(s(s('0')),f(g(g(X2))))
| 'E'(s('0'),f(X1))
| ~ iLEQ(g(g(X2)),X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_117]) ).
cnf(c_0_125,plain,
( 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(g(X1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_118]),c_0_102]) ).
cnf(c_0_126,plain,
( 'LE'(f(g(g(X1))),s('0'))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s('0'),f(g(g(X1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_19]),c_0_120]) ).
cnf(c_0_127,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(X1))
| 'E'('0',f(g(g(X1)))) ),
inference(spm,[status(thm)],[c_0_121,c_0_19]) ).
cnf(c_0_128,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s('0'),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_122]),c_0_51]) ).
cnf(c_0_129,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(X1)))
| 'E'(s(s('0')),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_123]),c_0_107]) ).
cnf(c_0_130,plain,
( 'LE'(f(g(g(X1))),s('0'))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s('0'),f(g(g(X1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_19]),c_0_120]) ).
cnf(c_0_131,plain,
( 'LE'(f(g(g(g(X1)))),s('0'))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s('0'))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_119,c_0_31]) ).
cnf(c_0_132,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(g(X1))))
| ~ 'E'(s(s(s('0'))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_111,c_0_125]) ).
cnf(c_0_133,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s('0'),f(g(g(X1))))
| 'E'('0',f(X2))
| ~ iLEQ(g(g(X1)),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_126]) ).
cnf(c_0_134,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'('0',f(g(g(g(X1)))))
| 'E'(s('0'),f(g(g(X1))))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s(s(s('0'))),f(X1)) ),
inference(spm,[status(thm)],[c_0_121,c_0_31]) ).
cnf(c_0_135,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'('0',f(g(g(X1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_127]),c_0_128]) ).
cnf(c_0_136,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| ~ 'E'(s(s(s('0'))),f(X1)) ),
inference(spm,[status(thm)],[c_0_111,c_0_129]) ).
cnf(c_0_137,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s('0'),f(g(g(X1))))
| 'E'('0',f(X2))
| ~ iLEQ(g(g(X1)),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_130]) ).
cnf(c_0_138,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(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(X2))
| ~ iLEQ(g(g(g(X1))),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_131]),c_0_132]) ).
cnf(c_0_139,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'('0',f(g(g(g(X1)))))
| 'E'(s('0'),f(g(g(X1)))) ),
inference(spm,[status(thm)],[c_0_133,c_0_31]) ).
cnf(c_0_140,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s('0'),f(g(g(X1))))
| 'E'('0',f(g(g(X1)))) ),
inference(spm,[status(thm)],[c_0_133,c_0_19]) ).
cnf(c_0_141,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| 'E'(s('0'),f(g(g(X1)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_134]),c_0_135]),c_0_136]) ).
cnf(c_0_142,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s('0'),f(g(g(X1))))
| 'E'('0',f(g(g(X1)))) ),
inference(spm,[status(thm)],[c_0_137,c_0_19]) ).
cnf(c_0_143,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'('0',f(g(g(g(X1))))) ),
inference(spm,[status(thm)],[c_0_138,c_0_19]) ).
cnf(c_0_144,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s('0'),f(g(g(X1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_139]),c_0_140]) ).
cnf(c_0_145,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s('0')),f(g(X1)))
| ~ 'E'(s('0'),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_43,c_0_141]) ).
cnf(c_0_146,plain,
( 'LE'(f(g(g(g(X1)))),s('0'))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| '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(X1)) ),
inference(spm,[status(thm)],[c_0_124,c_0_31]) ).
cnf(c_0_147,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'('0',f(g(g(g(X1)))))
| 'E'(s('0'),f(g(g(X1)))) ),
inference(spm,[status(thm)],[c_0_137,c_0_31]) ).
cnf(c_0_148,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s('0'),f(g(g(X1))))
| 'E'('0',f(g(g(X1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_142]),c_0_141]) ).
cnf(c_0_149,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'('0',f(g(g(g(g(X1))))))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(X1)))) ),
inference(spm,[status(thm)],[c_0_138,c_0_31]) ).
cnf(c_0_150,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'('0',f(g(g(g(X1))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_143]),c_0_144]) ).
cnf(c_0_151,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s('0'),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_104,c_0_145]) ).
cnf(c_0_152,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s('0')),f(X1)) ),
inference(spm,[status(thm)],[c_0_104,c_0_136]) ).
cnf(c_0_153,plain,
( 'E'(s(s(s(s(s('0'))))),f(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('0'),f(g(g(g(X1)))))
| 'E'('0',f(X2))
| ~ iLEQ(g(g(g(X1))),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_146]) ).
cnf(c_0_154,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s('0'),f(g(g(X1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_147]),c_0_148]) ).
cnf(c_0_155,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s('0'),f(g(g(g(X1))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_149]),c_0_150]) ).
cnf(c_0_156,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(s(s('0')),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_128]),c_0_152]) ).
cnf(c_0_157,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'('0',f(g(g(g(X1))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_19]),c_0_132]) ).
cnf(c_0_158,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s('0'),f(g(g(X1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_154]),c_0_141]) ).
cnf(c_0_159,plain,
( 'LE'(f(g(g(g(X1)))),s(s('0')))
| 'E'(s(s('0')),f(g(g(g(X1)))))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_75,c_0_31]) ).
cnf(c_0_160,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(g(X1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_155]),c_0_144]) ).
cnf(c_0_161,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| ~ 'E'(s(s(s(s(s('0'))))),f(X1))
| ~ 'E'(s(s('0')),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_36,c_0_156]) ).
cnf(c_0_162,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'('0',f(g(g(g(g(X1))))))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s('0')))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_31]),c_0_132]) ).
cnf(c_0_163,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'('0',f(g(g(g(X1))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_157]),c_0_158]) ).
cnf(c_0_164,plain,
( 'LE'(f(X1),s('0'))
| 'E'(s(s(s(s(s('0'))))),f(X2))
| 'E'(s(s(s(s('0')))),f(g(X2)))
| 'E'(s(s(s('0'))),f(g(g(X2))))
| 'E'(s(s('0')),f(g(g(g(X2)))))
| 'E'(s('0'),f(X1))
| ~ iLEQ(g(g(g(X2))),X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_159]) ).
cnf(c_0_165,plain,
( 'E'(s(s(s(s('0')))),f(g(X1)))
| ~ 'E'(s(s('0')),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_160]),c_0_161]) ).
cnf(c_0_166,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s(s('0')))),f(X1))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s('0'),f(g(g(g(X1))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_162]),c_0_163]) ).
cnf(c_0_167,plain,
( 'LE'(f(g(g(g(g(X1))))),s('0'))
| '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('0')))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_164,c_0_31]) ).
cnf(c_0_168,plain,
( ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(s(s('0')),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_76,c_0_165]) ).
cnf(c_0_169,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s('0')),f(g(g(X1))))
| 'E'(s(s(s(s('0')))),f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_166]),c_0_158]) ).
cnf(c_0_170,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)))))
| 'E'(s('0'),f(g(g(g(g(X1))))))
| 'E'('0',f(X2))
| ~ iLEQ(g(g(g(g(X1)))),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_167]) ).
cnf(c_0_171,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_76]) ).
cnf(c_0_172,plain,
( 'LE'(f(g(g(g(X1)))),s('0'))
| 'E'(s(s('0')),f(g(g(g(X1)))))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s('0')))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s('0'),f(g(g(g(X1))))) ),
inference(spm,[status(thm)],[c_0_164,c_0_19]) ).
cnf(c_0_173,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))
| 'E'('0',f(g(g(g(g(X1)))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_19]),c_0_171]) ).
cnf(c_0_174,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)))))
| 'E'(s('0'),f(g(g(g(X1)))))
| 'E'('0',f(X2))
| ~ iLEQ(g(g(g(X1))),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_172]) ).
cnf(c_0_175,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'('0',f(g(g(g(g(X1))))))
| ~ 'E'(s('0'),f(g(g(g(X1))))) ),
inference(spm,[status(thm)],[c_0_43,c_0_173]) ).
cnf(c_0_176,plain,
( 'E'('0',f(g(g(g(g(g(X1)))))))
| '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('0')))),f(g(X1)))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(spm,[status(thm)],[c_0_170,c_0_31]) ).
cnf(c_0_177,plain,
( '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))
| 'E'('0',f(g(g(g(g(X1)))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_31]),c_0_175]),c_0_171]) ).
cnf(c_0_178,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)))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_176]),c_0_177]),c_0_171]) ).
cnf(c_0_179,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'('0',f(g(g(g(X1))))) ),
inference(spm,[status(thm)],[c_0_46,c_0_177]) ).
cnf(c_0_180,plain,
( '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))
| ~ 'E'(s('0'),f(g(g(g(X1))))) ),
inference(spm,[status(thm)],[c_0_43,c_0_178]) ).
cnf(c_0_181,plain,
( 'E'(s(s(s('0'))),f(g(g(X1))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| ~ 'E'('0',f(g(g(g(X1))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_179]),c_0_125]) ).
cnf(c_0_182,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| 'E'(s(s(s('0'))),f(g(g(X1))))
| ~ 'E'(s('0'),f(g(g(g(X1))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_180]),c_0_125]) ).
cnf(c_0_183,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| ~ 'E'(s(s('0')),f(g(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_169]),c_0_168]) ).
cnf(c_0_184,plain,
( '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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_19]),c_0_181]),c_0_182]),c_0_171]) ).
cnf(c_0_185,plain,
( 'E'(s(s(s(s(s('0'))))),f(X1))
| ~ 'E'(s(s(s('0'))),f(X1)) ),
inference(spm,[status(thm)],[c_0_183,c_0_136]) ).
cnf(c_0_186,plain,
( '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_104,c_0_184]),c_0_125]) ).
cnf(c_0_187,plain,
( ~ 'E'(s(s(s(s(s('0'))))),f(X1))
| ~ 'E'(s(s(s('0'))),f(g(X1))) ),
inference(spm,[status(thm)],[c_0_36,c_0_185]) ).
cnf(c_0_188,plain,
~ 'E'(s(s(s('0'))),f(g(X1))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_186]),c_0_187]) ).
cnf(c_0_189,plain,
'E'(s(s(s(s(s('0'))))),f(X1)),
inference(sr,[status(thm)],[c_0_186,c_0_188]) ).
cnf(c_0_190,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_189]),c_0_189])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO630-1 : TPTP v8.1.2. Released v7.1.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 04:03:41 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.51/0.59 % Version : CSE_E---1.5
% 0.51/0.59 % Problem : theBenchmark.p
% 0.51/0.59 % Proof found
% 0.51/0.59 % SZS status Theorem for theBenchmark.p
% 0.51/0.59 % SZS output start Proof
% See solution above
% 0.51/0.60 % Total time : 0.030000 s
% 0.51/0.60 % SZS output end Proof
% 0.51/0.60 % Total time : 0.033000 s
%------------------------------------------------------------------------------