TSTP Solution File: SYO677-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYO677-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n009.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 04:08:44 EDT 2023
% Result : Unsatisfiable 70.99s 71.06s
% Output : CNFRefutation 71.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO677-1 : TPTP v8.1.2. Released v7.3.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Sat Aug 26 03:48:06 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 70.93/71.04 %-------------------------------------------
% 70.93/71.04 % File :CSE---1.6
% 70.93/71.04 % Problem :theBenchmark
% 70.93/71.04 % Transform :cnf
% 70.93/71.04 % Format :tptp:raw
% 70.93/71.04 % Command :java -jar mcs_scs.jar %d %s
% 70.93/71.04
% 70.93/71.04 % Result :Theorem 70.390000s
% 70.93/71.04 % Output :CNFRefutation 70.390000s
% 70.93/71.04 %-------------------------------------------
% 70.93/71.05 %------------------------------------------------------------------------------
% 70.93/71.05 % File : SYO677-1 : TPTP v8.1.2. Released v7.3.0.
% 70.93/71.05 % Domain : Syntactic
% 70.93/71.05 % Problem : GSM_4_1_2
% 70.93/71.05 % Version : Especial.
% 70.93/71.05 % English :
% 70.93/71.05
% 70.93/71.05 % Refs : [EH+16] Ebner et al. (2016), System Description: GAPT 2.0
% 70.93/71.05 % : [Cer18] Cerna (2018), Email to Geoff Sutcliffe
% 70.93/71.05 % Source : [Cer18]
% 70.99/71.05 % Names : GSM_4_1_2 [Cer18]
% 70.99/71.05
% 70.99/71.05 % Status : Unsatisfiable
% 70.99/71.05 % Rating : 0.14 v8.1.0, 0.00 v7.4.0, 0.17 v7.3.0
% 70.99/71.05 % Syntax : Number of clauses : 38 ( 2 unt; 20 nHn; 37 RR)
% 70.99/71.05 % Number of literals : 202 ( 0 equ; 149 neg)
% 70.99/71.05 % Maximal clause size : 9 ( 5 avg)
% 70.99/71.05 % Maximal term depth : 5 ( 2 avg)
% 70.99/71.05 % Number of predicates : 3 ( 3 usr; 0 prp; 2-2 aty)
% 70.99/71.05 % Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% 70.99/71.05 % Number of variables : 53 ( 1 sgn)
% 70.99/71.05 % SPC : CNF_UNS_RFO_NEQ_NHN
% 70.99/71.05
% 70.99/71.05 % Comments : Created using the GAPT system - https://github.com/gapt/gapt/blob/
% 70.99/71.05 % master/examples/schema/GradedStrictMonotoneSequenceSchema.scala
% 70.99/71.05 %------------------------------------------------------------------------------
% 70.99/71.05 cnf(clause_24,axiom,
% 70.99/71.05 ( ~ 'E'(s(s('0')),f(B_10))
% 70.99/71.05 | ~ 'E'(s(s('0')),f(suc(A_2)))
% 70.99/71.05 | ~ 'E'(f(B_10),f(suc(B_10)))
% 70.99/71.05 | ~ iLEQ(suc(A_2),suc(B_10))
% 70.99/71.05 | ~ 'E'(s(s('0')),f(suc(B_10)))
% 70.99/71.05 | ~ 'E'(s(s('0')),f(suc(suc(A_2))))
% 70.99/71.05 | ~ 'E'(s(s('0')),f(A_2))
% 70.99/71.05 | ~ 'E'(f(A_2),f(suc(A_2)))
% 70.99/71.05 | ~ 'E'(s(s('0')),f(suc(suc(B_10)))) ) ).
% 70.99/71.05
% 70.99/71.05 cnf(clause_23,axiom,
% 70.99/71.05 ( ~ 'E'('0',f(suc(B_17)))
% 70.99/71.05 | ~ iLEQ(suc(A_4),suc(B_17))
% 70.99/71.05 | ~ 'E'('0',f(suc(suc(B_17))))
% 70.99/71.05 | ~ 'E'('0',f(B_17))
% 70.99/71.05 | ~ 'E'('0',f(suc(A_4)))
% 70.99/71.05 | ~ 'E'(f(B_17),f(suc(B_17)))
% 70.99/71.05 | ~ 'E'('0',f(A_4))
% 70.99/71.05 | 'E'(f(A_4),f(suc(A_4))) ) ).
% 70.99/71.05
% 70.99/71.05 cnf(clause_143,axiom,
% 70.99/71.05 ( ~ 'LE'(f(suc(suc(B_4))),s(s(s(s('0')))))
% 70.99/71.05 | 'E'(s(s(s('0'))),f(suc(suc(B_4))))
% 70.99/71.05 | 'LE'(f(B_4),s(s(s('0')))) ) ).
% 70.99/71.05
% 70.99/71.05 cnf(clause_59,axiom,
% 70.99/71.05 ( ~ 'E'(s(s(s('0'))),f(suc(B_5)))
% 70.99/71.05 | ~ iLEQ(suc(A_1),suc(B_5))
% 70.99/71.05 | ~ 'E'(s(s(s('0'))),f(B_5))
% 70.99/71.05 | ~ 'E'(s(s(s('0'))),f(A_1))
% 70.99/71.05 | ~ 'E'(s(s(s('0'))),f(suc(suc(A_1))))
% 70.99/71.05 | ~ 'E'(f(A_1),f(suc(A_1)))
% 70.99/71.05 | ~ 'E'(s(s(s('0'))),f(suc(A_1)))
% 70.99/71.05 | 'E'(f(B_5),f(suc(B_5))) ) ).
% 70.99/71.05
% 70.99/71.05 cnf(clause_7,axiom,
% 70.99/71.05 ( ~ 'E'(f(A_4),f(suc(A_4)))
% 70.99/71.05 | ~ 'E'('0',f(suc(B_17)))
% 70.99/71.05 | ~ iLEQ(suc(A_4),suc(B_17))
% 70.99/71.05 | ~ 'E'('0',f(suc(suc(A_4))))
% 70.99/71.05 | ~ 'E'('0',f(B_17))
% 70.99/71.05 | ~ 'E'('0',f(suc(A_4)))
% 70.99/71.05 | ~ 'E'('0',f(A_4))
% 70.99/71.05 | 'E'(f(B_17),f(suc(B_17))) ) ).
% 70.99/71.05
% 70.99/71.05 cnf(clause_38,axiom,
% 70.99/71.05 ( ~ 'E'(s(s('0')),f(B_10))
% 70.99/71.05 | ~ 'E'(s(s('0')),f(suc(A_2)))
% 70.99/71.05 | ~ iLEQ(suc(A_2),suc(B_10))
% 70.99/71.05 | ~ 'E'(s(s('0')),f(suc(B_10)))
% 70.99/71.05 | ~ 'E'(s(s('0')),f(A_2))
% 70.99/71.05 | 'E'(f(A_2),f(suc(A_2)))
% 70.99/71.05 | 'E'(f(B_10),f(suc(B_10))) ) ).
% 70.99/71.05
% 70.99/71.05 cnf(clause_15,axiom,
% 70.99/71.05 ( ~ 'LE'(f(B_13),s(s('0')))
% 70.99/71.05 | 'E'(s('0'),f(B_13))
% 70.99/71.05 | 'LE'(f(B_13),s('0')) ) ).
% 70.99/71.05
% 70.99/71.05 cnf(clause_74,axiom,
% 70.99/71.05 ( ~ 'E'(s('0'),f(suc(B_14)))
% 70.99/71.05 | ~ 'E'(s('0'),f(suc(suc(B_14))))
% 70.99/71.05 | ~ 'E'(s('0'),f(suc(A_3)))
% 70.99/71.05 | ~ 'E'(s('0'),f(B_14))
% 70.99/71.05 | ~ 'E'(f(B_14),f(suc(B_14)))
% 70.99/71.05 | ~ 'E'(s('0'),f(A_3))
% 70.99/71.05 | ~ iLEQ(suc(A_3),suc(B_14))
% 70.99/71.05 | 'E'(f(A_3),f(suc(A_3))) ) ).
% 70.99/71.05
% 70.99/71.05 cnf(clause_13,axiom,
% 70.99/71.05 ( ~ 'LE'(f(suc(B_4)),s(s(s(s('0')))))
% 70.99/71.05 | 'E'(s(s(s('0'))),f(suc(B_4)))
% 70.99/71.05 | 'LE'(f(B_4),s(s(s('0')))) ) ).
% 70.99/71.05
% 70.99/71.05 cnf(clause_51,axiom,
% 70.99/71.05 ( ~ 'E'(s(s(s('0'))),f(suc(B_5)))
% 70.99/71.05 | ~ iLEQ(suc(A_1),suc(B_5))
% 70.99/71.05 | ~ 'E'(s(s(s('0'))),f(B_5))
% 70.99/71.05 | ~ 'E'(s(s(s('0'))),f(A_1))
% 70.99/71.05 | ~ 'E'(s(s(s('0'))),f(suc(A_1)))
% 70.99/71.05 | 'E'(f(A_1),f(suc(A_1)))
% 70.99/71.05 | 'E'(f(B_5),f(suc(B_5))) ) ).
% 70.99/71.05
% 70.99/71.05 cnf(clause_91,axiom,
% 70.99/71.05 ( ~ 'E'(s('0'),f(suc(B_14)))
% 70.99/71.05 | ~ 'E'(s('0'),f(suc(A_3)))
% 70.99/71.05 | ~ 'E'(s('0'),f(B_14))
% 70.99/71.05 | ~ 'E'(f(A_3),f(suc(A_3)))
% 70.99/71.05 | ~ 'E'(s('0'),f(A_3))
% 70.99/71.05 | ~ 'E'(s('0'),f(suc(suc(A_3))))
% 70.99/71.05 | ~ iLEQ(suc(A_3),suc(B_14))
% 70.99/71.05 | 'E'(f(B_14),f(suc(B_14))) ) ).
% 70.99/71.05
% 70.99/71.05 cnf(clause_97,axiom,
% 70.99/71.05 ( ~ 'E'(s(s('0')),f(suc(suc(A_2))))
% 70.99/71.05 | ~ 'E'(s(s('0')),f(suc(A_2)))
% 70.99/71.05 | ~ 'E'(f(A_2),f(suc(A_2)))
% 70.99/71.05 | ~ 'E'(s(s('0')),f(A_2))
% 70.99/71.05 | iLEQ(suc(A_2),suc(A_2)) ) ).
% 70.99/71.05
% 70.99/71.05 cnf(clause_2,axiom,
% 70.99/71.05 ( ~ 'LE'(f(suc(B_16)),s('0'))
% 70.99/71.05 | 'E'('0',f(suc(B_16)))
% 70.99/71.05 | 'LE'(f(B_16),'0') ) ).
% 70.99/71.05
% 70.99/71.05 cnf(clause_145,axiom,
% 70.99/71.05 ( ~ 'LE'(f(B_16),s('0'))
% 70.99/71.05 | 'E'('0',f(B_16))
% 70.99/71.05 | 'LE'(f(B_16),'0') ) ).
% 70.99/71.05
% 70.99/71.05 cnf(clause_18,axiom,
% 70.99/71.05 ( ~ 'LE'(f(suc(suc(B_9))),s(s(s('0'))))
% 70.99/71.05 | 'E'(s(s('0')),f(suc(suc(B_9))))
% 70.99/71.05 | 'LE'(f(B_9),s(s('0'))) ) ).
% 70.99/71.05
% 70.99/71.05 cnf(clause_61,axiom,
% 70.99/71.05 ( ~ 'LE'(f(B_4),s(s(s(s('0')))))
% 70.99/71.05 | 'E'(s(s(s('0'))),f(B_4))
% 70.99/71.05 | 'LE'(f(B_4),s(s(s('0')))) ) ).
% 70.99/71.05
% 70.99/71.05 cnf(clause_0,axiom,
% 70.99/71.05 ( ~ 'E'('0',f(suc(B_17)))
% 70.99/71.05 | ~ iLEQ(suc(A_4),suc(B_17))
% 70.99/71.05 | ~ 'E'('0',f(B_17))
% 70.99/71.05 | ~ 'E'('0',f(suc(A_4)))
% 70.99/71.06 | ~ 'E'('0',f(A_4))
% 70.99/71.06 | 'E'(f(A_4),f(suc(A_4)))
% 70.99/71.06 | 'E'(f(B_17),f(suc(B_17))) ) ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_113,axiom,
% 70.99/71.06 'LE'(f(A),s(s(s(s('0'))))) ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_73,axiom,
% 70.99/71.06 ( ~ 'LE'(f(B_9),s(s(s('0'))))
% 70.99/71.06 | 'E'(s(s('0')),f(B_9))
% 70.99/71.06 | 'LE'(f(B_9),s(s('0'))) ) ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_48,axiom,
% 70.99/71.06 ( ~ 'E'(f(A_4),f(suc(A_4)))
% 70.99/71.06 | ~ 'E'('0',f(suc(B_17)))
% 70.99/71.06 | ~ iLEQ(suc(A_4),suc(B_17))
% 70.99/71.06 | ~ 'E'('0',f(suc(suc(B_17))))
% 70.99/71.06 | ~ 'E'('0',f(suc(suc(A_4))))
% 70.99/71.06 | ~ 'E'('0',f(B_17))
% 70.99/71.06 | ~ 'E'('0',f(suc(A_4)))
% 70.99/71.06 | ~ 'E'(f(B_17),f(suc(B_17)))
% 70.99/71.06 | ~ 'E'('0',f(A_4)) ) ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_10,axiom,
% 70.99/71.06 ( ~ 'E'(s(s(s('0'))),f(suc(B_5)))
% 70.99/71.06 | ~ 'E'(f(B_5),f(suc(B_5)))
% 70.99/71.06 | ~ iLEQ(suc(A_1),suc(B_5))
% 70.99/71.06 | ~ 'E'(s(s(s('0'))),f(B_5))
% 70.99/71.06 | ~ 'E'(s(s(s('0'))),f(A_1))
% 70.99/71.06 | ~ 'E'(s(s(s('0'))),f(suc(suc(B_5))))
% 70.99/71.06 | ~ 'E'(s(s(s('0'))),f(suc(A_1)))
% 70.99/71.06 | 'E'(f(A_1),f(suc(A_1))) ) ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_140,axiom,
% 70.99/71.06 ( ~ 'E'(s(s(s('0'))),f(suc(suc(A_1))))
% 70.99/71.06 | ~ 'E'(s(s(s('0'))),f(suc(A_1)))
% 70.99/71.06 | ~ 'E'(f(A_1),f(suc(A_1)))
% 70.99/71.06 | ~ 'E'(s(s(s('0'))),f(A_1))
% 70.99/71.06 | iLEQ(suc(A_1),suc(A_1)) ) ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_150,axiom,
% 70.99/71.06 ( ~ 'E'('0',f(A_4))
% 70.99/71.06 | ~ 'E'('0',f(suc(A_4)))
% 70.99/71.06 | 'E'(f(A_4),f(suc(A_4)))
% 70.99/71.06 | iLEQ(suc(A_4),suc(A_4)) ) ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_31,axiom,
% 70.99/71.06 ( ~ 'E'(s('0'),f(suc(suc(A_3))))
% 70.99/71.06 | ~ 'E'(s('0'),f(suc(A_3)))
% 70.99/71.06 | ~ 'E'(f(A_3),f(suc(A_3)))
% 70.99/71.06 | ~ 'E'(s('0'),f(A_3))
% 70.99/71.06 | iLEQ(suc(A_3),suc(A_3)) ) ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_39,axiom,
% 70.99/71.06 ( ~ 'LE'(f(suc(B_13)),s(s('0')))
% 70.99/71.06 | 'E'(s('0'),f(suc(B_13)))
% 70.99/71.06 | 'LE'(f(B_13),s('0')) ) ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_11,axiom,
% 70.99/71.06 ( ~ 'E'(s(s('0')),f(B_10))
% 70.99/71.06 | ~ 'E'(s(s('0')),f(suc(A_2)))
% 70.99/71.06 | ~ iLEQ(suc(A_2),suc(B_10))
% 70.99/71.06 | ~ 'E'(s(s('0')),f(suc(B_10)))
% 70.99/71.06 | ~ 'E'(s(s('0')),f(suc(suc(A_2))))
% 70.99/71.06 | ~ 'E'(s(s('0')),f(A_2))
% 70.99/71.06 | ~ 'E'(f(A_2),f(suc(A_2)))
% 70.99/71.06 | 'E'(f(B_10),f(suc(B_10))) ) ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_49,axiom,
% 70.99/71.06 ( ~ 'LE'(f(suc(suc(B_13))),s(s('0')))
% 70.99/71.06 | 'E'(s('0'),f(suc(suc(B_13))))
% 70.99/71.06 | 'LE'(f(B_13),s('0')) ) ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_77,axiom,
% 70.99/71.06 ~ 'LE'(f(z),'0') ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_57,axiom,
% 70.99/71.06 ( ~ 'E'(s('0'),f(suc(B_14)))
% 70.99/71.06 | ~ 'E'(s('0'),f(suc(suc(B_14))))
% 70.99/71.06 | ~ 'E'(s('0'),f(suc(A_3)))
% 70.99/71.06 | ~ 'E'(s('0'),f(B_14))
% 70.99/71.06 | ~ 'E'(f(B_14),f(suc(B_14)))
% 70.99/71.06 | ~ 'E'(f(A_3),f(suc(A_3)))
% 70.99/71.06 | ~ 'E'(s('0'),f(A_3))
% 70.99/71.06 | ~ 'E'(s('0'),f(suc(suc(A_3))))
% 70.99/71.06 | ~ iLEQ(suc(A_3),suc(B_14)) ) ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_121,axiom,
% 70.99/71.06 ( ~ 'E'(s(s(s('0'))),f(suc(B_5)))
% 70.99/71.06 | ~ 'E'(f(B_5),f(suc(B_5)))
% 70.99/71.06 | ~ iLEQ(suc(A_1),suc(B_5))
% 70.99/71.06 | ~ 'E'(s(s(s('0'))),f(B_5))
% 70.99/71.06 | ~ 'E'(s(s(s('0'))),f(A_1))
% 70.99/71.06 | ~ 'E'(s(s(s('0'))),f(suc(suc(A_1))))
% 70.99/71.06 | ~ 'E'(f(A_1),f(suc(A_1)))
% 70.99/71.06 | ~ 'E'(s(s(s('0'))),f(suc(suc(B_5))))
% 70.99/71.06 | ~ 'E'(s(s(s('0'))),f(suc(A_1))) ) ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_87,axiom,
% 70.99/71.06 ( ~ 'LE'(f(suc(B_9)),s(s(s('0'))))
% 70.99/71.06 | 'E'(s(s('0')),f(suc(B_9)))
% 70.99/71.06 | 'LE'(f(B_9),s(s('0'))) ) ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_65,axiom,
% 70.99/71.06 ( ~ 'E'(s(s(s('0'))),f(A_1))
% 70.99/71.06 | ~ 'E'(s(s(s('0'))),f(suc(A_1)))
% 70.99/71.06 | 'E'(f(A_1),f(suc(A_1)))
% 70.99/71.06 | iLEQ(suc(A_1),suc(A_1)) ) ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_99,axiom,
% 70.99/71.06 ( ~ 'E'(s(s('0')),f(B_10))
% 70.99/71.06 | ~ 'E'(s(s('0')),f(suc(A_2)))
% 70.99/71.06 | ~ 'E'(f(B_10),f(suc(B_10)))
% 70.99/71.06 | ~ iLEQ(suc(A_2),suc(B_10))
% 70.99/71.06 | ~ 'E'(s(s('0')),f(suc(B_10)))
% 70.99/71.06 | ~ 'E'(s(s('0')),f(A_2))
% 70.99/71.06 | ~ 'E'(s(s('0')),f(suc(suc(B_10))))
% 70.99/71.06 | 'E'(f(A_2),f(suc(A_2))) ) ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_84,axiom,
% 70.99/71.06 ( ~ 'E'(s(s('0')),f(A_2))
% 70.99/71.06 | ~ 'E'(s(s('0')),f(suc(A_2)))
% 70.99/71.06 | 'E'(f(A_2),f(suc(A_2)))
% 70.99/71.06 | iLEQ(suc(A_2),suc(A_2)) ) ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_112,axiom,
% 70.99/71.06 ( ~ 'E'(s('0'),f(suc(B_14)))
% 70.99/71.06 | ~ 'E'(s('0'),f(suc(A_3)))
% 70.99/71.06 | ~ 'E'(s('0'),f(B_14))
% 70.99/71.06 | ~ 'E'(s('0'),f(A_3))
% 70.99/71.06 | ~ iLEQ(suc(A_3),suc(B_14))
% 70.99/71.06 | 'E'(f(A_3),f(suc(A_3)))
% 70.99/71.06 | 'E'(f(B_14),f(suc(B_14))) ) ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_27,axiom,
% 70.99/71.06 ( ~ 'LE'(f(suc(suc(B_16))),s('0'))
% 70.99/71.06 | 'E'('0',f(suc(suc(B_16))))
% 70.99/71.06 | 'LE'(f(B_16),'0') ) ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_115,axiom,
% 70.99/71.06 ( ~ 'E'(s('0'),f(A_3))
% 70.99/71.06 | ~ 'E'(s('0'),f(suc(A_3)))
% 70.99/71.06 | 'E'(f(A_3),f(suc(A_3)))
% 70.99/71.06 | iLEQ(suc(A_3),suc(A_3)) ) ).
% 70.99/71.06
% 70.99/71.06 cnf(clause_114,axiom,
% 70.99/71.06 ( ~ 'E'('0',f(suc(suc(A_4))))
% 70.99/71.06 | ~ 'E'('0',f(suc(A_4)))
% 70.99/71.06 | ~ 'E'(f(A_4),f(suc(A_4)))
% 70.99/71.06 | ~ 'E'('0',f(A_4))
% 70.99/71.06 | iLEQ(suc(A_4),suc(A_4)) ) ).
% 70.99/71.06
% 70.99/71.06 %------------------------------------------------------------------------------
% 70.99/71.06 %-------------------------------------------
% 70.99/71.06 % Proof found
% 70.99/71.06 % SZS status Theorem for theBenchmark
% 70.99/71.06 % SZS output start Proof
% 70.99/71.06 %ClaNum:38(EqnAxiom:0)
% 70.99/71.06 %VarNum:265(SingletonVarNum:53)
% 70.99/71.06 %MaxLitNum:9
% 70.99/71.06 %MaxfuncDepth:4
% 70.99/71.06 %SharedTerms:8
% 70.99/71.06 [2]~P1(f1(a4),a2)
% 70.99/71.06 [1]P1(f1(x11),f3(f3(f3(f3(a2)))))
% 70.99/71.06 [3]~P1(f1(x31),f3(a2))+P2(a2,f1(x31))+P1(f1(x31),a2)
% 70.99/71.06 [4]P1(f1(x41),f3(a2))+P2(f3(a2),f1(x41))+~P1(f1(x41),f3(f3(a2)))
% 70.99/71.06 [5]P1(f1(x51),a2)+~P1(f1(f5(x51)),f3(a2))+P2(a2,f1(f5(x51)))
% 70.99/71.06 [6]P1(f1(x61),f3(a2))+~P1(f1(f5(x61)),f3(f3(a2)))+P2(f3(a2),f1(f5(x61)))
% 70.99/71.06 [8]P1(f1(x81),f3(f3(a2)))+P2(f3(f3(a2)),f1(x81))+~P1(f1(x81),f3(f3(f3(a2))))
% 70.99/71.06 [10]P1(f1(x101),a2)+~P1(f1(f5(f5(x101))),f3(a2))+P2(a2,f1(f5(f5(x101))))
% 70.99/71.06 [11]P2(f3(f3(a2)),f1(f5(x111)))+P1(f1(x111),f3(f3(a2)))+~P1(f1(f5(x111)),f3(f3(f3(a2))))
% 70.99/71.06 [13]P1(f1(x131),f3(a2))+~P1(f1(f5(f5(x131))),f3(f3(a2)))+P2(f3(a2),f1(f5(f5(x131))))
% 70.99/71.06 [15]P1(f1(x151),f3(f3(a2)))+~P1(f1(f5(f5(x151))),f3(f3(f3(a2))))+P2(f3(f3(a2)),f1(f5(f5(x151))))
% 70.99/71.06 [14]P1(f1(x141),f3(f3(f3(a2))))+P2(f3(f3(f3(a2))),f1(x141))+~P1(f1(x141),f3(f3(f3(f3(a2)))))
% 70.99/71.06 [18]P2(f3(f3(f3(a2))),f1(f5(x181)))+P1(f1(x181),f3(f3(f3(a2))))+~P1(f1(f5(x181)),f3(f3(f3(f3(a2)))))
% 70.99/71.06 [23]P2(f3(f3(f3(a2))),f1(f5(f5(x231))))+P1(f1(x231),f3(f3(f3(a2))))+~P1(f1(f5(f5(x231))),f3(f3(f3(f3(a2)))))
% 70.99/71.06 [7]P3(f5(x71),f5(x71))+~P2(a2,f1(x71))+P2(f1(x71),f1(f5(x71)))+~P2(a2,f1(f5(x71)))
% 70.99/71.06 [9]P3(f5(x91),f5(x91))+~P2(f3(a2),f1(x91))+P2(f1(x91),f1(f5(x91)))+~P2(f3(a2),f1(f5(x91)))
% 70.99/71.06 [12]P3(f5(x121),f5(x121))+P2(f1(x121),f1(f5(x121)))+~P2(f3(f3(a2)),f1(x121))+~P2(f3(f3(a2)),f1(f5(x121)))
% 70.99/71.06 [16]P3(f5(x161),f5(x161))+P2(f1(x161),f1(f5(x161)))+~P2(f3(f3(f3(a2))),f1(x161))+~P2(f3(f3(f3(a2))),f1(f5(x161)))
% 70.99/71.06 [17]P3(f5(x171),f5(x171))+~P2(a2,f1(x171))+~P2(f1(x171),f1(f5(x171)))+~P2(a2,f1(f5(x171)))+~P2(a2,f1(f5(f5(x171))))
% 70.99/71.06 [19]P3(f5(x191),f5(x191))+~P2(f3(a2),f1(x191))+~P2(f1(x191),f1(f5(x191)))+~P2(f3(a2),f1(f5(x191)))+~P2(f3(a2),f1(f5(f5(x191))))
% 70.99/71.06 [22]P3(f5(x221),f5(x221))+~P2(f1(x221),f1(f5(x221)))+~P2(f3(f3(a2)),f1(x221))+~P2(f3(f3(a2)),f1(f5(x221)))+~P2(f3(f3(a2)),f1(f5(f5(x221))))
% 70.99/71.06 [27]P3(f5(x271),f5(x271))+~P2(f1(x271),f1(f5(x271)))+~P2(f3(f3(f3(a2))),f1(x271))+~P2(f3(f3(f3(a2))),f1(f5(x271)))+~P2(f3(f3(f3(a2))),f1(f5(f5(x271))))
% 70.99/71.06 [20]~P3(f5(x201),f5(x202))+P2(f1(x201),f1(f5(x201)))+P2(f1(x202),f1(f5(x202)))+~P2(a2,f1(x201))+~P2(a2,f1(x202))+~P2(a2,f1(f5(x201)))+~P2(a2,f1(f5(x202)))
% 70.99/71.06 [21]~P3(f5(x211),f5(x212))+~P2(f3(a2),f1(x211))+~P2(f3(a2),f1(x212))+P2(f1(x211),f1(f5(x211)))+P2(f1(x212),f1(f5(x212)))+~P2(f3(a2),f1(f5(x211)))+~P2(f3(a2),f1(f5(x212)))
% 70.99/71.06 [24]~P3(f5(x241),f5(x242))+P2(f1(x241),f1(f5(x241)))+P2(f1(x242),f1(f5(x242)))+~P2(f3(f3(a2)),f1(f5(x241)))+~P2(f3(f3(a2)),f1(f5(x242)))+~P2(f3(f3(a2)),f1(x241))+~P2(f3(f3(a2)),f1(x242))
% 70.99/71.06 [30]~P3(f5(x301),f5(x302))+P2(f1(x301),f1(f5(x301)))+P2(f1(x302),f1(f5(x302)))+~P2(f3(f3(f3(a2))),f1(f5(x301)))+~P2(f3(f3(f3(a2))),f1(f5(x302)))+~P2(f3(f3(f3(a2))),f1(x301))+~P2(f3(f3(f3(a2))),f1(x302))
% 70.99/71.06 [25]~P3(f5(x251),f5(x252))+P2(f1(x251),f1(f5(x251)))+~P2(a2,f1(x251))+~P2(f1(x252),f1(f5(x252)))+~P2(a2,f1(x252))+~P2(a2,f1(f5(x251)))+~P2(a2,f1(f5(x252)))+~P2(a2,f1(f5(f5(x252))))
% 70.99/71.06 [26]~P3(f5(x262),f5(x261))+P2(f1(x261),f1(f5(x261)))+~P2(a2,f1(x261))+~P2(f1(x262),f1(f5(x262)))+~P2(a2,f1(x262))+~P2(a2,f1(f5(x261)))+~P2(a2,f1(f5(x262)))+~P2(a2,f1(f5(f5(x262))))
% 70.99/71.06 [28]~P3(f5(x281),f5(x282))+~P2(f3(a2),f1(x282))+~P2(f3(a2),f1(x281))+P2(f1(x281),f1(f5(x281)))+~P2(f1(x282),f1(f5(x282)))+~P2(f3(a2),f1(f5(x281)))+~P2(f3(a2),f1(f5(x282)))+~P2(f3(a2),f1(f5(f5(x282))))
% 70.99/71.06 [29]~P3(f5(x292),f5(x291))+~P2(f3(a2),f1(x292))+~P2(f3(a2),f1(x291))+P2(f1(x291),f1(f5(x291)))+~P2(f1(x292),f1(f5(x292)))+~P2(f3(a2),f1(f5(x291)))+~P2(f3(a2),f1(f5(x292)))+~P2(f3(a2),f1(f5(f5(x292))))
% 70.99/71.06 [31]~P3(f5(x311),f5(x312))+P2(f1(x311),f1(f5(x311)))+~P2(f1(x312),f1(f5(x312)))+~P2(f3(f3(a2)),f1(x312))+~P2(f3(f3(a2)),f1(f5(x311)))+~P2(f3(f3(a2)),f1(x311))+~P2(f3(f3(a2)),f1(f5(x312)))+~P2(f3(f3(a2)),f1(f5(f5(x312))))
% 70.99/71.06 [32]~P3(f5(x322),f5(x321))+P2(f1(x321),f1(f5(x321)))+~P2(f1(x322),f1(f5(x322)))+~P2(f3(f3(a2)),f1(x322))+~P2(f3(f3(a2)),f1(f5(x321)))+~P2(f3(f3(a2)),f1(x321))+~P2(f3(f3(a2)),f1(f5(x322)))+~P2(f3(f3(a2)),f1(f5(f5(x322))))
% 70.99/71.06 [36]~P3(f5(x361),f5(x362))+P2(f1(x361),f1(f5(x361)))+~P2(f1(x362),f1(f5(x362)))+~P2(f3(f3(f3(a2))),f1(x362))+~P2(f3(f3(f3(a2))),f1(f5(x361)))+~P2(f3(f3(f3(a2))),f1(x361))+~P2(f3(f3(f3(a2))),f1(f5(x362)))+~P2(f3(f3(f3(a2))),f1(f5(f5(x362))))
% 70.99/71.06 [37]~P3(f5(x372),f5(x371))+P2(f1(x371),f1(f5(x371)))+~P2(f1(x372),f1(f5(x372)))+~P2(f3(f3(f3(a2))),f1(x372))+~P2(f3(f3(f3(a2))),f1(f5(x371)))+~P2(f3(f3(f3(a2))),f1(x371))+~P2(f3(f3(f3(a2))),f1(f5(x372)))+~P2(f3(f3(f3(a2))),f1(f5(f5(x372))))
% 70.99/71.06 [33]~P3(f5(x332),f5(x331))+~P2(f1(x331),f1(f5(x331)))+~P2(a2,f1(x331))+~P2(f1(x332),f1(f5(x332)))+~P2(a2,f1(x332))+~P2(a2,f1(f5(x331)))+~P2(a2,f1(f5(x332)))+~P2(a2,f1(f5(f5(x331))))+~P2(a2,f1(f5(f5(x332))))
% 70.99/71.06 [34]~P3(f5(x341),f5(x342))+~P2(f3(a2),f1(x341))+~P2(f3(a2),f1(x342))+~P2(f1(x341),f1(f5(x341)))+~P2(f1(x342),f1(f5(x342)))+~P2(f3(a2),f1(f5(x341)))+~P2(f3(a2),f1(f5(x342)))+~P2(f3(a2),f1(f5(f5(x341))))+~P2(f3(a2),f1(f5(f5(x342))))
% 70.99/71.06 [35]~P3(f5(x351),f5(x352))+~P2(f1(x351),f1(f5(x351)))+~P2(f1(x352),f1(f5(x352)))+~P2(f3(f3(a2)),f1(x351))+~P2(f3(f3(a2)),f1(x352))+~P2(f3(f3(a2)),f1(f5(x351)))+~P2(f3(f3(a2)),f1(f5(x352)))+~P2(f3(f3(a2)),f1(f5(f5(x351))))+~P2(f3(f3(a2)),f1(f5(f5(x352))))
% 70.99/71.06 [38]~P3(f5(x381),f5(x382))+~P2(f1(x381),f1(f5(x381)))+~P2(f1(x382),f1(f5(x382)))+~P2(f3(f3(f3(a2))),f1(x381))+~P2(f3(f3(f3(a2))),f1(x382))+~P2(f3(f3(f3(a2))),f1(f5(x381)))+~P2(f3(f3(f3(a2))),f1(f5(f5(x381))))+~P2(f3(f3(f3(a2))),f1(f5(x382)))+~P2(f3(f3(f3(a2))),f1(f5(f5(x382))))
% 70.99/71.06 %EqnAxiom
% 70.99/71.06
% 70.99/71.06 %-------------------------------------------
% 70.99/71.06 cnf(39,plain,
% 70.99/71.06 (~P1(f1(a4),f3(a2))+P2(a2,f1(a4))),
% 70.99/71.06 inference(scs_inference,[],[2,3])).
% 70.99/71.06 cnf(40,plain,
% 70.99/71.06 (~P1(f1(f5(f5(a4))),f3(a2))+P2(a2,f1(f5(f5(a4))))),
% 70.99/71.06 inference(scs_inference,[],[2,3,10])).
% 70.99/71.06 cnf(41,plain,
% 70.99/71.06 (~P1(f1(f5(a4)),f3(a2))+P2(a2,f1(f5(a4)))),
% 70.99/71.06 inference(scs_inference,[],[2,3,10,5])).
% 70.99/71.06 cnf(43,plain,
% 70.99/71.06 (P2(a2,f1(a4))+~P1(f1(f5(f5(a4))),f3(f3(a2)))+P2(f3(a2),f1(f5(f5(a4))))),
% 70.99/71.06 inference(scs_inference,[],[2,3,10,5,13])).
% 70.99/71.06 cnf(45,plain,
% 70.99/71.06 (P2(a2,f1(a4))+~P1(f1(f5(a4)),f3(f3(a2)))+P2(f3(a2),f1(f5(a4)))),
% 70.99/71.06 inference(scs_inference,[],[2,3,10,5,13,6])).
% 70.99/71.06 cnf(51,plain,
% 70.99/71.06 (P2(a2,f1(f5(a4)))+P2(f3(a2),f1(f5(a4)))+~P1(f1(f5(a4)),f3(f3(a2)))),
% 70.99/71.06 inference(scs_inference,[],[41,4])).
% 70.99/71.06 cnf(60,plain,
% 70.99/71.06 (P1(f1(x601),f3(f3(a2)))+P2(f3(f3(a2)),f1(x601))+P2(f3(f3(f3(a2))),f1(f5(x601)))),
% 70.99/71.06 inference(scs_inference,[],[1,18,8])).
% 70.99/71.06 cnf(71,plain,
% 70.99/71.06 (~P2(f3(a2),f1(x711))+~P2(f1(x711),f1(f5(x711)))+~P2(f3(a2),f1(f5(x711)))+~P2(f3(a2),f1(f5(f5(x711))))),
% 70.99/71.06 inference(scs_inference,[],[34,19])).
% 70.99/71.06 cnf(72,plain,
% 70.99/71.06 (~P2(f1(x721),f1(f5(x721)))+~P2(f3(f3(a2)),f1(x721))+~P2(f3(f3(a2)),f1(f5(x721)))+~P2(f3(f3(a2)),f1(f5(f5(x721))))),
% 70.99/71.06 inference(scs_inference,[],[35,22])).
% 70.99/71.06 cnf(73,plain,
% 70.99/71.06 (~P2(f1(x731),f1(f5(x731)))+~P2(f3(f3(f3(a2))),f1(x731))+~P2(f3(f3(f3(a2))),f1(f5(f5(x731))))+~P2(f3(f3(f3(a2))),f1(f5(x731)))),
% 70.99/71.06 inference(scs_inference,[],[38,27])).
% 70.99/71.06 cnf(74,plain,
% 70.99/71.06 (P2(a2,f1(a4))+P2(f3(a2),f1(a4))+~P1(f1(a4),f3(f3(a2)))),
% 70.99/71.06 inference(scs_inference,[],[39,4])).
% 70.99/71.06 cnf(82,plain,
% 70.99/71.06 (P2(a2,f1(f5(a4)))+~P1(f1(f5(f5(a4))),f3(f3(a2)))+P2(f3(a2),f1(f5(f5(a4))))),
% 70.99/71.06 inference(scs_inference,[],[41,6])).
% 70.99/71.06 cnf(85,plain,
% 70.99/71.06 (P2(a2,f1(f5(a4)))+~P1(f1(f5(f5(f5(a4)))),f3(f3(a2)))+P2(f3(a2),f1(f5(f5(f5(a4)))))),
% 70.99/71.06 inference(scs_inference,[],[41,13])).
% 70.99/71.06 cnf(97,plain,
% 70.99/71.06 (P2(a2,f1(f5(f5(a4))))+~P1(f1(f5(f5(f5(f5(a4))))),f3(f3(a2)))+P2(f3(a2),f1(f5(f5(f5(f5(a4))))))),
% 70.99/71.06 inference(scs_inference,[],[40,13])).
% 70.99/71.06 cnf(134,plain,
% 70.99/71.06 (~P2(f1(x1341),f1(f5(x1341)))+~P2(f3(a2),f1(f5(f5(x1341))))+~P2(f3(a2),f1(x1341))+P1(f1(f5(x1341)),f3(a2))+~P1(f1(f5(x1341)),f3(f3(a2)))),
% 70.99/71.06 inference(scs_inference,[],[4,71])).
% 70.99/71.06 cnf(138,plain,
% 70.99/71.06 (~P2(f1(x1381),f1(f5(x1381)))+~P2(f3(a2),f1(f5(f5(x1381))))+~P2(f3(a2),f1(f5(x1381)))+P1(f1(x1381),f3(a2))+~P1(f1(x1381),f3(f3(a2)))),
% 70.99/71.06 inference(scs_inference,[],[4,71])).
% 70.99/71.06 cnf(164,plain,
% 70.99/71.06 (~P2(f1(x1641),f1(f5(x1641)))+~P1(f1(f5(x1641)),f3(f3(a2)))+P1(f1(f5(x1641)),f3(a2))+~P2(f3(a2),f1(f5(f5(x1641))))+P1(f1(x1641),f3(a2))+~P1(f1(x1641),f3(f3(a2)))),
% 70.99/71.06 inference(scs_inference,[],[4,134])).
% 70.99/71.06 cnf(245,plain,
% 70.99/71.06 (~P2(f1(x2451),f1(f5(x2451)))+~P1(f1(f5(x2451)),f3(f3(a2)))+~P1(f1(x2451),f3(f3(a2)))+P1(f1(f5(x2451)),f3(a2))+P1(f1(x2451),f3(a2))+~P1(f1(f5(f5(x2451))),f3(f3(a2)))),
% 70.99/71.06 inference(scs_inference,[],[6,164])).
% 70.99/71.06 cnf(277,plain,
% 70.99/71.06 (P2(f3(f3(f3(a2))),f1(x2771))+P1(f1(x2771),f3(f3(f3(a2))))),
% 70.99/71.06 inference(scs_inference,[],[1,14])).
% 70.99/71.06 cnf(279,plain,
% 70.99/71.06 (P1(f1(x2791),f3(f3(f3(a2))))+P3(f5(x2791),f5(x2791))+P2(f1(x2791),f1(f5(x2791)))+~P2(f3(f3(f3(a2))),f1(f5(x2791)))),
% 70.99/71.06 inference(scs_inference,[],[277,16])).
% 70.99/71.06 cnf(288,plain,
% 70.99/71.06 (~P2(f1(x2881),f1(f5(x2881)))+~P2(f3(f3(f3(a2))),f1(f5(f5(x2881))))+~P2(f3(f3(f3(a2))),f1(f5(x2881)))+P1(f1(x2881),f3(f3(f3(a2))))),
% 70.99/71.06 inference(scs_inference,[],[277,73])).
% 70.99/71.06 cnf(327,plain,
% 70.99/71.06 (P1(f1(x3271),f3(f3(f3(a2))))+P2(f3(f3(f3(a2))),f1(f5(f5(x3271))))),
% 70.99/71.06 inference(scs_inference,[],[1,23])).
% 70.99/71.06 cnf(357,plain,
% 70.99/71.06 (~P2(f1(x3571),f1(f5(x3571)))+~P2(f3(f3(f3(a2))),f1(f5(x3571)))+P1(f1(x3571),f3(f3(f3(a2))))),
% 70.99/71.06 inference(scs_inference,[],[327,288])).
% 70.99/71.06 cnf(380,plain,
% 70.99/71.06 (~P2(f1(x3801),f1(f5(x3801)))+~P2(f3(f3(f3(a2))),f1(f5(x3801)))+P1(f1(x3801),f3(f3(a2)))+P2(f3(f3(a2)),f1(x3801))),
% 70.99/71.06 inference(scs_inference,[],[8,357])).
% 70.99/71.06 cnf(673,plain,
% 70.99/71.06 (~P2(f1(x6731),f1(f5(x6731)))+P1(f1(x6731),f3(f3(a2)))+P2(f3(f3(a2)),f1(x6731))),
% 70.99/71.06 inference(scs_inference,[],[60,380])).
% 70.99/71.06 cnf(684,plain,
% 70.99/71.07 (~P2(f1(x6841),f1(f5(x6841)))+~P2(f3(f3(a2)),f1(f5(f5(x6841))))+~P2(f3(f3(a2)),f1(f5(x6841)))+P1(f1(x6841),f3(f3(a2)))),
% 70.99/71.07 inference(scs_inference,[],[673,72])).
% 70.99/71.07 cnf(807,plain,
% 70.99/71.07 (P1(f1(x8071),f3(f3(f3(a2))))+P2(f3(f3(f3(a2))),f1(f5(x8071)))),
% 70.99/71.07 inference(scs_inference,[],[1,18])).
% 70.99/71.07 cnf(813,plain,
% 70.99/71.07 (~P2(f1(x8131),f1(f5(x8131)))+P1(f1(x8131),f3(f3(f3(a2))))),
% 70.99/71.07 inference(scs_inference,[],[807,357])).
% 70.99/71.07 cnf(873,plain,
% 70.99/71.07 (P3(f5(x8731),f5(x8731))+~P2(f3(f3(f3(a2))),f1(f5(x8731)))+P1(f1(x8731),f3(f3(f3(a2))))),
% 70.99/71.07 inference(scs_inference,[],[813,279])).
% 70.99/71.07 cnf(874,plain,
% 70.99/71.07 (P1(f1(x8741),f3(f3(f3(a2))))+P2(f1(x8741),f1(f5(x8741)))+~P2(f3(f3(f3(a2))),f1(x8741))+~P2(f3(f3(f3(a2))),f1(f5(x8741)))),
% 70.99/71.07 inference(scs_inference,[],[873,30])).
% 70.99/71.07 cnf(876,plain,
% 70.99/71.07 (~P2(f3(f3(f3(a2))),f1(f5(x8761)))+P1(f1(x8761),f3(f3(f3(a2))))+~P2(f3(f3(f3(a2))),f1(x8761))),
% 70.99/71.07 inference(scs_inference,[],[813,874])).
% 70.99/71.07 cnf(877,plain,
% 70.99/71.07 (~P2(f3(f3(f3(a2))),f1(f5(x8771)))+P1(f1(x8771),f3(f3(f3(a2))))),
% 70.99/71.07 inference(scs_inference,[],[876,277])).
% 70.99/71.07 cnf(1010,plain,
% 70.99/71.07 (P1(f1(x10101),f3(f3(f3(a2))))),
% 70.99/71.07 inference(scs_inference,[],[807,877])).
% 70.99/71.07 cnf(1089,plain,
% 70.99/71.07 (P1(f1(x10891),f3(f3(a2)))+P2(f3(f3(a2)),f1(f5(f5(x10891))))),
% 70.99/71.07 inference(scs_inference,[],[1010,15])).
% 70.99/71.07 cnf(1093,plain,
% 70.99/71.07 (~P2(f1(x10931),f1(f5(x10931)))+~P2(f3(f3(a2)),f1(f5(x10931)))+P1(f1(x10931),f3(f3(a2)))),
% 70.99/71.07 inference(scs_inference,[],[1089,684])).
% 70.99/71.07 cnf(1354,plain,
% 70.99/71.07 (P1(f1(x13541),f3(f3(a2)))+P2(f3(f3(a2)),f1(f5(x13541)))),
% 70.99/71.07 inference(scs_inference,[],[1010,11])).
% 70.99/71.07 cnf(1396,plain,
% 70.99/71.07 (~P2(f1(x13961),f1(f5(x13961)))+P1(f1(x13961),f3(f3(a2)))),
% 70.99/71.07 inference(scs_inference,[],[1354,1093])).
% 70.99/71.07 cnf(1479,plain,
% 70.99/71.07 (P1(f1(x14791),f3(f3(a2)))+P2(f3(f3(a2)),f1(x14791))),
% 70.99/71.07 inference(scs_inference,[],[1010,8])).
% 70.99/71.07 cnf(1616,plain,
% 70.99/71.07 (~P2(a2,f1(x16161))+P2(f1(x16161),f1(f5(x16161)))+~P2(a2,f1(f5(x16161)))),
% 70.99/71.07 inference(scs_inference,[],[7,20])).
% 70.99/71.07 cnf(1624,plain,
% 70.99/71.07 (~P2(f3(a2),f1(x16241))+P2(f1(x16241),f1(f5(x16241)))+~P2(f3(a2),f1(f5(x16241)))),
% 70.99/71.07 inference(scs_inference,[],[9,21])).
% 70.99/71.07 cnf(1626,plain,
% 70.99/71.07 (P2(f1(x16261),f1(f5(x16261)))+~P2(f3(f3(a2)),f1(x16261))+~P2(f3(f3(a2)),f1(f5(x16261)))),
% 70.99/71.07 inference(scs_inference,[],[24,12])).
% 70.99/71.07 cnf(1627,plain,
% 70.99/71.07 (~P2(f3(f3(a2)),f1(f5(x16271)))+~P2(f3(f3(a2)),f1(x16271))+P1(f1(x16271),f3(f3(a2)))),
% 70.99/71.07 inference(scs_inference,[],[1626,1396])).
% 70.99/71.07 cnf(1628,plain,
% 70.99/71.07 (~P2(f3(f3(a2)),f1(f5(x16281)))+P1(f1(x16281),f3(f3(a2)))),
% 70.99/71.07 inference(scs_inference,[],[1627,1479])).
% 70.99/71.07 cnf(1632,plain,
% 70.99/71.07 (P1(f1(x16321),f3(f3(a2)))),
% 70.99/71.07 inference(scs_inference,[],[1628,1354])).
% 70.99/71.07 cnf(1633,plain,
% 70.99/71.07 (P2(a2,f1(a4))+P2(f3(a2),f1(f5(f5(a4))))),
% 70.99/71.07 inference(scs_inference,[],[1632,43])).
% 70.99/71.07 cnf(1634,plain,
% 70.99/71.07 (P2(f3(a2),f1(f5(a4)))+P2(a2,f1(a4))),
% 70.99/71.07 inference(scs_inference,[],[1632,45])).
% 70.99/71.07 cnf(1637,plain,
% 70.99/71.07 (P2(a2,f1(f5(a4)))+P2(f3(a2),f1(f5(a4)))),
% 70.99/71.07 inference(scs_inference,[],[1632,51])).
% 70.99/71.07 cnf(1640,plain,
% 70.99/71.07 (P2(f3(a2),f1(a4))+P2(a2,f1(a4))),
% 70.99/71.07 inference(scs_inference,[],[1632,74])).
% 70.99/71.07 cnf(1642,plain,
% 70.99/71.07 (P2(f3(a2),f1(f5(f5(a4))))+P2(a2,f1(f5(a4)))),
% 70.99/71.07 inference(scs_inference,[],[1632,82])).
% 70.99/71.07 cnf(1644,plain,
% 70.99/71.07 (P2(f3(a2),f1(f5(f5(f5(a4)))))+P2(a2,f1(f5(a4)))),
% 70.99/71.07 inference(scs_inference,[],[1632,85])).
% 70.99/71.07 cnf(1647,plain,
% 70.99/71.07 (P2(a2,f1(f5(f5(a4))))+P2(f3(a2),f1(f5(f5(f5(f5(a4))))))),
% 70.99/71.07 inference(scs_inference,[],[1632,97])).
% 70.99/71.07 cnf(1744,plain,
% 70.99/71.07 (P2(f3(a2),f1(x17441))+P1(f1(x17441),f3(a2))),
% 70.99/71.07 inference(scs_inference,[],[1632,4])).
% 70.99/71.07 cnf(1746,plain,
% 70.99/71.07 (P1(f1(x17461),f3(a2))+P2(f3(a2),f1(f5(f5(x17461))))),
% 70.99/71.07 inference(scs_inference,[],[1632,4,13])).
% 70.99/71.07 cnf(1766,plain,
% 70.99/71.07 (P1(f1(x17661),f3(a2))+P2(f3(a2),f1(f5(x17661)))),
% 70.99/71.07 inference(scs_inference,[],[1632,6])).
% 70.99/71.07 cnf(1801,plain,
% 70.99/71.07 (~P2(f1(x18011),f1(f5(x18011)))+~P1(f1(f5(x18011)),f3(f3(a2)))+~P1(f1(f5(f5(x18011))),f3(f3(a2)))+P1(f1(f5(x18011)),f3(a2))+P1(f1(x18011),f3(a2))),
% 70.99/71.07 inference(scs_inference,[],[1632,245])).
% 70.99/71.07 cnf(1803,plain,
% 70.99/71.07 (~P2(f1(x18031),f1(f5(x18031)))+~P1(f1(f5(f5(x18031))),f3(f3(a2)))+P1(f1(f5(x18031)),f3(a2))+P1(f1(x18031),f3(a2))),
% 70.99/71.07 inference(scs_inference,[],[1632,1801])).
% 70.99/71.07 cnf(1838,plain,
% 70.99/71.07 (P1(f1(x18381),f3(f3(a2)))),
% 70.99/71.07 inference(rename_variables,[],[1632])).
% 70.99/71.07 cnf(1840,plain,
% 70.99/71.07 (~P2(f1(x18401),f1(f5(x18401)))+~P2(f3(a2),f1(f5(f5(x18401))))+P1(f1(f5(x18401)),f3(a2))+~P2(f3(a2),f1(x18401))),
% 70.99/71.07 inference(scs_inference,[],[1632,1838,134])).
% 70.99/71.07 cnf(2023,plain,
% 70.99/71.07 (P2(a2,f1(a4))+P2(f1(a4),f1(f5(a4)))+~P2(f3(a2),f1(f5(a4)))),
% 70.99/71.07 inference(scs_inference,[],[1640,1624])).
% 70.99/71.07 cnf(2026,plain,
% 70.99/71.07 (P2(f1(a4),f1(f5(a4)))+P2(a2,f1(a4))),
% 70.99/71.07 inference(scs_inference,[],[2023,1634])).
% 70.99/71.07 cnf(2027,plain,
% 70.99/71.07 (~P2(f1(x20271),f1(f5(x20271)))+~P2(f3(a2),f1(f5(x20271)))+~P2(f3(a2),f1(f5(f5(x20271))))+P1(f1(x20271),f3(a2))),
% 70.99/71.07 inference(scs_inference,[],[1632,138])).
% 70.99/71.07 cnf(2028,plain,
% 70.99/71.07 (P2(f1(a4),f1(f5(a4)))+~P2(a2,f1(f5(a4)))),
% 70.99/71.07 inference(scs_inference,[],[2026,1616])).
% 70.99/71.07 cnf(2056,plain,
% 70.99/71.07 (P2(f1(x20561),f1(f5(x20561)))+~P2(f3(a2),f1(f5(x20561)))+P1(f1(x20561),f3(a2))),
% 70.99/71.07 inference(scs_inference,[],[1744,1624])).
% 70.99/71.07 cnf(2057,plain,
% 70.99/71.07 (~P2(f3(a2),f1(f5(x20571)))+P1(f1(f5(x20571)),f3(a2))+P1(f1(x20571),f3(a2))),
% 70.99/71.07 inference(scs_inference,[],[1632,2056,1803])).
% 70.99/71.07 cnf(2060,plain,
% 70.99/71.07 (P2(a2,f1(a4))+~P2(f3(a2),f1(f5(a4)))+P1(f1(f5(a4)),f3(a2))),
% 70.99/71.07 inference(scs_inference,[],[2057,39])).
% 70.99/71.07 cnf(2061,plain,
% 70.99/71.07 (P2(a2,f1(a4))+P1(f1(f5(a4)),f3(a2))),
% 70.99/71.07 inference(scs_inference,[],[2060,1634])).
% 70.99/71.07 cnf(2092,plain,
% 70.99/71.07 (P2(a2,f1(f5(a4)))+P2(f1(f5(a4)),f1(f5(f5(a4))))+~P2(f3(a2),f1(f5(f5(a4))))),
% 70.99/71.07 inference(scs_inference,[],[1637,1624])).
% 70.99/71.07 cnf(2093,plain,
% 70.99/71.07 (P2(f1(f5(a4)),f1(f5(f5(a4))))+P2(a2,f1(f5(a4)))),
% 70.99/71.07 inference(scs_inference,[],[2092,1642])).
% 71.08/71.07 cnf(2094,plain,
% 71.08/71.07 (P2(f1(f5(a4)),f1(f5(f5(a4))))+~P2(a2,f1(f5(f5(a4))))),
% 71.08/71.07 inference(scs_inference,[],[2093,1616])).
% 71.08/71.07 cnf(2127,plain,
% 71.08/71.07 (P2(f1(x21271),f1(f5(x21271)))+P1(f1(x21271),f3(a2))),
% 71.08/71.07 inference(scs_inference,[],[1766,2056])).
% 71.08/71.07 cnf(2131,plain,
% 71.08/71.07 (~P2(f1(x21311),f1(f5(x21311)))+P1(f1(f5(x21311)),f3(a2))+~P2(f3(a2),f1(x21311))),
% 71.08/71.07 inference(scs_inference,[],[1766,1840])).
% 71.08/71.07 cnf(2138,plain,
% 71.08/71.07 (~P2(f1(x21381),f1(f5(x21381)))+~P2(f3(a2),f1(f5(f5(x21381))))+P1(f1(x21381),f3(a2))),
% 71.08/71.07 inference(scs_inference,[],[1766,2027])).
% 71.08/71.07 cnf(2145,plain,
% 71.08/71.07 (~P2(a2,f1(f5(a4)))+~P2(f3(a2),f1(f5(f5(a4))))+P1(f1(a4),f3(a2))),
% 71.08/71.07 inference(scs_inference,[],[2028,2138])).
% 71.08/71.07 cnf(2146,plain,
% 71.08/71.07 (~P2(f3(a2),f1(f5(f5(a4))))+P1(f1(a4),f3(a2))+~P1(f1(f5(a4)),f3(a2))),
% 71.08/71.07 inference(scs_inference,[],[2,2145,5])).
% 71.08/71.07 cnf(2147,plain,
% 71.08/71.07 (P2(a2,f1(a4))+~P2(f3(a2),f1(f5(f5(a4))))+P1(f1(a4),f3(a2))),
% 71.08/71.07 inference(scs_inference,[],[2146,2061])).
% 71.08/71.07 cnf(2148,plain,
% 71.08/71.07 (P2(a2,f1(a4))+P1(f1(a4),f3(a2))),
% 71.08/71.07 inference(scs_inference,[],[2147,1633])).
% 71.08/71.07 cnf(2149,plain,
% 71.08/71.07 (P2(a2,f1(a4))),
% 71.08/71.07 inference(scs_inference,[],[2148,39])).
% 71.08/71.07 cnf(2155,plain,
% 71.08/71.07 (~P3(f5(a4),f5(a4))+~P2(f1(a4),f1(f5(a4)))+~P2(a2,f1(f5(a4)))+~P2(a2,f1(f5(f5(a4))))),
% 71.08/71.07 inference(scs_inference,[],[2149,33])).
% 71.08/71.07 cnf(2172,plain,
% 71.08/71.07 (~P2(f3(a2),f1(f5(f5(x21721))))+P1(f1(x21721),f3(a2))),
% 71.08/71.07 inference(scs_inference,[],[2127,2138])).
% 71.08/71.07 cnf(2173,plain,
% 71.08/71.07 (P2(a2,f1(f5(f5(a4))))+~P2(f3(a2),f1(f5(f5(f5(f5(a4))))))),
% 71.08/71.07 inference(scs_inference,[],[2172,40])).
% 71.08/71.07 cnf(2175,plain,
% 71.08/71.07 (P2(f1(f5(a4)),f1(f5(f5(a4))))+~P2(f3(a2),f1(f5(f5(f5(f5(a4))))))),
% 71.08/71.07 inference(scs_inference,[],[2173,2094])).
% 71.08/71.07 cnf(2176,plain,
% 71.08/71.07 (P2(f1(f5(a4)),f1(f5(f5(a4))))+P2(a2,f1(f5(f5(a4))))),
% 71.08/71.07 inference(scs_inference,[],[2175,1647])).
% 71.08/71.07 cnf(2178,plain,
% 71.08/71.07 (P2(f1(f5(a4)),f1(f5(f5(a4))))),
% 71.08/71.07 inference(scs_inference,[],[2176,2094])).
% 71.08/71.07 cnf(2189,plain,
% 71.08/71.07 (P1(f1(f5(f5(a4))),f3(a2))+~P2(f3(a2),f1(f5(a4)))),
% 71.08/71.07 inference(scs_inference,[],[2178,2131])).
% 71.08/71.07 cnf(2284,plain,
% 71.08/71.07 (P2(a2,f1(f5(a4)))+~P2(f3(a2),f1(f5(f5(f5(a4)))))),
% 71.08/71.07 inference(scs_inference,[],[41,2172])).
% 71.08/71.07 cnf(2288,plain,
% 71.08/71.07 (P2(f1(a4),f1(f5(a4)))+~P2(f3(a2),f1(f5(f5(f5(a4)))))),
% 71.08/71.07 inference(scs_inference,[],[2284,2028])).
% 71.08/71.07 cnf(2290,plain,
% 71.08/71.07 (P2(f1(a4),f1(f5(a4)))+P2(a2,f1(f5(a4)))),
% 71.08/71.07 inference(scs_inference,[],[2288,1644])).
% 71.08/71.07 cnf(2292,plain,
% 71.08/71.07 (P2(f1(a4),f1(f5(a4)))),
% 71.08/71.07 inference(scs_inference,[],[2290,2028])).
% 71.08/71.07 cnf(2304,plain,
% 71.08/71.07 (~P3(f5(a4),f5(a4))+~P2(a2,f1(f5(a4)))+~P2(a2,f1(f5(f5(a4))))),
% 71.08/71.07 inference(scs_inference,[],[2292,2155])).
% 71.08/71.07 cnf(2314,plain,
% 71.08/71.07 (~P2(a2,f1(f5(a4)))+~P2(a2,f1(f5(f5(a4))))),
% 71.08/71.07 inference(scs_inference,[],[2149,2292,2304,17])).
% 71.08/71.07 cnf(2418,plain,
% 71.08/71.07 (~P2(a2,f1(f5(f5(a4))))+~P1(f1(f5(a4)),f3(a2))),
% 71.08/71.07 inference(scs_inference,[],[2314,41])).
% 71.08/71.07 cnf(2420,plain,
% 71.08/71.07 (~P2(a2,f1(f5(f5(a4))))+P2(f3(a2),f1(f5(f5(f5(a4)))))),
% 71.08/71.07 inference(scs_inference,[],[2418,1746])).
% 71.08/71.07 cnf(2438,plain,
% 71.08/71.07 (~P2(a2,f1(f5(a4)))+P2(f3(a2),f1(f5(f5(f5(f5(a4))))))),
% 71.08/71.07 inference(scs_inference,[],[2314,1647])).
% 71.08/71.07 cnf(2440,plain,
% 71.08/71.07 (~P2(a2,f1(f5(a4)))+P1(f1(f5(f5(a4))),f3(a2))),
% 71.08/71.07 inference(scs_inference,[],[2438,2172])).
% 71.08/71.07 cnf(2442,plain,
% 71.08/71.07 (~P2(a2,f1(f5(a4)))+P2(a2,f1(f5(f5(a4))))),
% 71.08/71.07 inference(scs_inference,[],[2440,40])).
% 71.08/71.07 cnf(2446,plain,
% 71.08/71.07 (P2(a2,f1(f5(f5(a4))))+~P1(f1(f5(a4)),f3(a2))),
% 71.08/71.07 inference(scs_inference,[],[2442,41])).
% 71.08/71.07 cnf(2447,plain,
% 71.08/71.07 (P2(a2,f1(f5(f5(a4))))+P2(f3(a2),f1(f5(a4)))),
% 71.08/71.07 inference(scs_inference,[],[2446,1744])).
% 71.08/71.07 cnf(2448,plain,
% 71.08/71.07 (P2(a2,f1(f5(f5(a4))))+P1(f1(f5(f5(a4))),f3(a2))),
% 71.08/71.07 inference(scs_inference,[],[2447,2189])).
% 71.08/71.07 cnf(2450,plain,
% 71.08/71.07 (P2(a2,f1(f5(f5(a4))))),
% 71.08/71.07 inference(scs_inference,[],[2448,40])).
% 71.08/71.07 cnf(2466,plain,
% 71.08/71.07 (~P1(f1(f5(a4)),f3(a2))),
% 71.08/71.07 inference(scs_inference,[],[2450,2418])).
% 71.08/71.07 cnf(2467,plain,
% 71.08/71.07 (P2(f3(a2),f1(f5(f5(f5(a4)))))),
% 71.08/71.07 inference(scs_inference,[],[2450,2420])).
% 71.08/71.07 cnf(2535,plain,
% 71.08/71.07 ($false),
% 71.08/71.07 inference(scs_inference,[],[2466,2467,2172]),
% 71.08/71.07 ['proof']).
% 71.08/71.07 % SZS output end Proof
% 71.08/71.07 % Total time :70.390000s
%------------------------------------------------------------------------------