TSTP Solution File: SYO685-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYO685-1 : 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 : n015.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 04:08:45 EDT 2023
% Result : Unsatisfiable 77.42s 77.43s
% Output : CNFRefutation 77.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO685-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.16/0.35 % Computer : n015.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Sat Aug 26 05:34:22 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.22/0.57 start to proof:theBenchmark
% 77.35/77.41 %-------------------------------------------
% 77.35/77.41 % File :CSE---1.6
% 77.35/77.41 % Problem :theBenchmark
% 77.35/77.41 % Transform :cnf
% 77.35/77.41 % Format :tptp:raw
% 77.35/77.41 % Command :java -jar mcs_scs.jar %d %s
% 77.35/77.41
% 77.35/77.41 % Result :Theorem 76.770000s
% 77.35/77.41 % Output :CNFRefutation 76.770000s
% 77.35/77.41 %-------------------------------------------
% 77.35/77.41 %------------------------------------------------------------------------------
% 77.35/77.41 % File : SYO685-1 : TPTP v8.1.2. Released v7.3.0.
% 77.35/77.41 % Domain : Syntactic
% 77.35/77.41 % Problem : GSM_5_1_2
% 77.35/77.41 % Version : Especial.
% 77.35/77.41 % English :
% 77.35/77.41
% 77.35/77.41 % Refs : [EH+16] Ebner et al. (2016), System Description: GAPT 2.0
% 77.35/77.41 % : [Cer18] Cerna (2018), Email to Geoff Sutcliffe
% 77.35/77.41 % Source : [Cer18]
% 77.35/77.41 % Names : GSM_5_1_2 [Cer18]
% 77.35/77.41
% 77.35/77.41 % Status : Unsatisfiable
% 77.35/77.41 % Rating : 0.14 v8.1.0, 0.00 v7.5.0, 0.17 v7.3.0
% 77.35/77.41 % Syntax : Number of clauses : 47 ( 2 unt; 25 nHn; 46 RR)
% 77.35/77.41 % Number of literals : 252 ( 0 equ; 186 neg)
% 77.35/77.41 % Maximal clause size : 9 ( 5 avg)
% 77.35/77.41 % Maximal term depth : 6 ( 2 avg)
% 77.35/77.41 % Number of predicates : 3 ( 3 usr; 0 prp; 2-2 aty)
% 77.35/77.41 % Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% 77.35/77.41 % Number of variables : 66 ( 1 sgn)
% 77.35/77.41 % SPC : CNF_UNS_RFO_NEQ_NHN
% 77.35/77.41
% 77.35/77.41 % Comments : Created using the GAPT system - https://github.com/gapt/gapt/blob/
% 77.35/77.41 % master/examples/schema/GradedStrictMonotoneSequenceSchema.scala
% 77.35/77.41 %------------------------------------------------------------------------------
% 77.35/77.41 cnf(clause_143,axiom,
% 77.35/77.41 ( ~ 'E'(s(s('0')),f(A_3))
% 77.35/77.41 | ~ 'E'(s(s('0')),f(suc(A_3)))
% 77.35/77.41 | 'E'(f(A_3),f(suc(A_3)))
% 77.35/77.41 | iLEQ(suc(A_3),suc(A_3)) ) ).
% 77.35/77.41
% 77.35/77.41 cnf(clause_130,axiom,
% 77.35/77.41 ( ~ 'E'(s(s(s(s('0')))),f(A_1))
% 77.35/77.41 | ~ 'E'(s(s(s(s('0')))),f(suc(A_1)))
% 77.35/77.41 | 'E'(f(A_1),f(suc(A_1)))
% 77.35/77.41 | iLEQ(suc(A_1),suc(A_1)) ) ).
% 77.35/77.41
% 77.35/77.41 cnf(clause_125,axiom,
% 77.35/77.41 ( ~ 'LE'(f(B_16),s(s(s('0'))))
% 77.35/77.41 | 'E'(s(s('0')),f(B_16))
% 77.35/77.41 | 'LE'(f(B_16),s(s('0'))) ) ).
% 77.35/77.41
% 77.35/77.41 cnf(clause_61,axiom,
% 77.35/77.41 ( ~ 'E'(s('0'),f(suc(suc(A_4))))
% 77.35/77.41 | ~ 'E'(s('0'),f(suc(A_4)))
% 77.35/77.41 | ~ 'E'(f(A_4),f(suc(A_4)))
% 77.35/77.41 | ~ 'E'(s('0'),f(A_4))
% 77.35/77.41 | iLEQ(suc(A_4),suc(A_4)) ) ).
% 77.35/77.41
% 77.35/77.41 cnf(clause_169,axiom,
% 77.35/77.41 ( ~ iLEQ(suc(A_5),suc(B_24))
% 77.35/77.41 | ~ 'E'('0',f(A_5))
% 77.35/77.41 | ~ 'E'('0',f(suc(A_5)))
% 77.35/77.41 | ~ 'E'('0',f(suc(B_24)))
% 77.35/77.41 | ~ 'E'('0',f(B_24))
% 77.35/77.41 | 'E'(f(A_5),f(suc(A_5)))
% 77.35/77.41 | 'E'(f(B_24),f(suc(B_24))) ) ).
% 77.35/77.41
% 77.35/77.41 cnf(clause_208,axiom,
% 77.35/77.41 ( ~ iLEQ(suc(A_2),suc(B_12))
% 77.35/77.41 | ~ 'E'(s(s(s('0'))),f(suc(A_2)))
% 77.35/77.41 | ~ 'E'(s(s(s('0'))),f(B_12))
% 77.35/77.41 | ~ 'E'(s(s(s('0'))),f(A_2))
% 77.35/77.41 | ~ 'E'(f(B_12),f(suc(B_12)))
% 77.35/77.41 | ~ 'E'(s(s(s('0'))),f(suc(B_12)))
% 77.35/77.41 | ~ 'E'(s(s(s('0'))),f(suc(suc(B_12))))
% 77.35/77.41 | 'E'(f(A_2),f(suc(A_2))) ) ).
% 77.35/77.41
% 77.35/77.41 cnf(clause_28,axiom,
% 77.35/77.41 ( ~ 'E'(s(s(s('0'))),f(A_2))
% 77.35/77.41 | ~ 'E'(s(s(s('0'))),f(suc(A_2)))
% 77.35/77.41 | 'E'(f(A_2),f(suc(A_2)))
% 77.35/77.41 | iLEQ(suc(A_2),suc(A_2)) ) ).
% 77.35/77.41
% 77.35/77.41 cnf(clause_97,axiom,
% 77.35/77.41 ( ~ 'LE'(f(suc(suc(B_16))),s(s(s('0'))))
% 77.35/77.41 | 'E'(s(s('0')),f(suc(suc(B_16))))
% 77.35/77.41 | 'LE'(f(B_16),s(s('0'))) ) ).
% 77.35/77.41
% 77.35/77.41 cnf(clause_74,axiom,
% 77.35/77.41 ( ~ 'E'(s(s('0')),f(suc(B_17)))
% 77.35/77.41 | ~ 'E'(s(s('0')),f(B_17))
% 77.35/77.41 | ~ 'E'(s(s('0')),f(suc(A_3)))
% 77.35/77.42 | ~ 'E'(s(s('0')),f(suc(suc(A_3))))
% 77.35/77.42 | ~ iLEQ(suc(A_3),suc(B_17))
% 77.35/77.42 | ~ 'E'(f(A_3),f(suc(A_3)))
% 77.35/77.42 | ~ 'E'(f(B_17),f(suc(B_17)))
% 77.35/77.42 | ~ 'E'(s(s('0')),f(A_3))
% 77.35/77.42 | ~ 'E'(s(s('0')),f(suc(suc(B_17)))) ) ).
% 77.35/77.42
% 77.35/77.42 cnf(clause_190,axiom,
% 77.35/77.42 ( ~ 'E'(s(s(s('0'))),f(suc(suc(A_2))))
% 77.35/77.42 | ~ 'E'(s(s(s('0'))),f(suc(A_2)))
% 77.35/77.42 | ~ 'E'(f(A_2),f(suc(A_2)))
% 77.35/77.42 | ~ 'E'(s(s(s('0'))),f(A_2))
% 77.35/77.42 | iLEQ(suc(A_2),suc(A_2)) ) ).
% 77.35/77.42
% 77.35/77.42 cnf(clause_79,axiom,
% 77.35/77.42 ( ~ 'E'(s(s(s(s('0')))),f(suc(suc(A_1))))
% 77.35/77.42 | ~ 'E'(s(s(s(s('0')))),f(suc(A_1)))
% 77.35/77.42 | ~ 'E'(f(A_1),f(suc(A_1)))
% 77.35/77.42 | ~ 'E'(s(s(s(s('0')))),f(A_1))
% 77.35/77.42 | iLEQ(suc(A_1),suc(A_1)) ) ).
% 77.35/77.42
% 77.35/77.42 cnf(clause_55,axiom,
% 77.35/77.42 ( ~ iLEQ(suc(A_4),suc(B_21))
% 77.35/77.42 | ~ 'E'(s('0'),f(suc(B_21)))
% 77.35/77.42 | ~ 'E'(s('0'),f(suc(suc(B_21))))
% 77.35/77.42 | ~ 'E'(s('0'),f(B_21))
% 77.35/77.42 | ~ 'E'(s('0'),f(suc(A_4)))
% 77.35/77.42 | ~ 'E'(f(B_21),f(suc(B_21)))
% 77.35/77.42 | ~ 'E'(s('0'),f(A_4))
% 77.35/77.42 | 'E'(f(A_4),f(suc(A_4))) ) ).
% 77.35/77.42
% 77.35/77.42 cnf(clause_184,axiom,
% 77.35/77.42 ( ~ 'LE'(f(B_20),s(s('0')))
% 77.35/77.42 | 'E'(s('0'),f(B_20))
% 77.35/77.42 | 'LE'(f(B_20),s('0')) ) ).
% 77.35/77.42
% 77.35/77.42 cnf(clause_94,axiom,
% 77.35/77.42 ( ~ 'E'(s(s(s(s('0')))),f(B_6))
% 77.35/77.42 | ~ iLEQ(suc(A_1),suc(B_6))
% 77.35/77.42 | ~ 'E'(s(s(s(s('0')))),f(suc(suc(B_6))))
% 77.35/77.42 | ~ 'E'(s(s(s(s('0')))),f(suc(B_6)))
% 77.35/77.42 | ~ 'E'(s(s(s(s('0')))),f(suc(A_1)))
% 77.35/77.42 | ~ 'E'(s(s(s(s('0')))),f(A_1))
% 77.35/77.42 | ~ 'E'(f(B_6),f(suc(B_6)))
% 77.35/77.42 | 'E'(f(A_1),f(suc(A_1))) ) ).
% 77.35/77.42
% 77.35/77.42 cnf(clause_191,axiom,
% 77.35/77.42 ( ~ 'LE'(f(suc(B_5)),s(s(s(s(s('0'))))))
% 77.35/77.42 | 'E'(s(s(s(s('0')))),f(suc(B_5)))
% 77.35/77.42 | 'LE'(f(B_5),s(s(s(s('0'))))) ) ).
% 77.35/77.42
% 77.35/77.42 cnf(clause_93,axiom,
% 77.35/77.42 ( ~ 'LE'(f(suc(suc(B_5))),s(s(s(s(s('0'))))))
% 77.35/77.42 | 'E'(s(s(s(s('0')))),f(suc(suc(B_5))))
% 77.35/77.42 | 'LE'(f(B_5),s(s(s(s('0'))))) ) ).
% 77.35/77.42
% 77.35/77.42 cnf(clause_40,axiom,
% 77.35/77.42 ( ~ 'E'(s(s('0')),f(suc(suc(A_3))))
% 77.35/77.42 | ~ 'E'(s(s('0')),f(suc(A_3)))
% 77.35/77.42 | ~ 'E'(f(A_3),f(suc(A_3)))
% 77.35/77.42 | ~ 'E'(s(s('0')),f(A_3))
% 77.35/77.42 | iLEQ(suc(A_3),suc(A_3)) ) ).
% 77.35/77.42
% 77.35/77.42 cnf(clause_95,axiom,
% 77.35/77.42 ( ~ 'LE'(f(B_11),s(s(s(s('0')))))
% 77.35/77.42 | 'E'(s(s(s('0'))),f(B_11))
% 77.35/77.42 | 'LE'(f(B_11),s(s(s('0')))) ) ).
% 77.35/77.42
% 77.35/77.42 cnf(clause_86,axiom,
% 77.35/77.42 ( ~ 'LE'(f(suc(B_16)),s(s(s('0'))))
% 77.35/77.42 | 'E'(s(s('0')),f(suc(B_16)))
% 77.35/77.42 | 'LE'(f(B_16),s(s('0'))) ) ).
% 77.35/77.42
% 77.35/77.42 cnf(clause_96,axiom,
% 77.35/77.42 ~ 'LE'(f(z),'0') ).
% 77.35/77.42
% 77.35/77.42 cnf(clause_175,axiom,
% 77.35/77.42 ( ~ iLEQ(suc(A_4),suc(B_21))
% 77.35/77.42 | ~ 'E'(f(A_4),f(suc(A_4)))
% 77.35/77.42 | ~ 'E'(s('0'),f(suc(B_21)))
% 77.35/77.42 | ~ 'E'(s('0'),f(suc(suc(B_21))))
% 77.35/77.42 | ~ 'E'(s('0'),f(B_21))
% 77.35/77.42 | ~ 'E'(s('0'),f(suc(suc(A_4))))
% 77.35/77.42 | ~ 'E'(s('0'),f(suc(A_4)))
% 77.35/77.42 | ~ 'E'(f(B_21),f(suc(B_21)))
% 77.35/77.42 | ~ 'E'(s('0'),f(A_4)) ) ).
% 77.35/77.42
% 77.35/77.42 cnf(clause_49,axiom,
% 77.35/77.42 ( ~ iLEQ(suc(A_2),suc(B_12))
% 77.35/77.42 | ~ 'E'(s(s(s('0'))),f(suc(A_2)))
% 77.35/77.42 | ~ 'E'(s(s(s('0'))),f(B_12))
% 77.35/77.42 | ~ 'E'(s(s(s('0'))),f(A_2))
% 77.42/77.42 | ~ 'E'(s(s(s('0'))),f(suc(B_12)))
% 77.42/77.42 | 'E'(f(A_2),f(suc(A_2)))
% 77.42/77.42 | 'E'(f(B_12),f(suc(B_12))) ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_52,axiom,
% 77.42/77.42 ( ~ 'LE'(f(suc(suc(B_11))),s(s(s(s('0')))))
% 77.42/77.42 | 'E'(s(s(s('0'))),f(suc(suc(B_11))))
% 77.42/77.42 | 'LE'(f(B_11),s(s(s('0')))) ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_154,axiom,
% 77.42/77.42 ( ~ 'E'(s(s('0')),f(suc(B_17)))
% 77.42/77.42 | ~ 'E'(s(s('0')),f(B_17))
% 77.42/77.42 | ~ 'E'(s(s('0')),f(suc(A_3)))
% 77.42/77.42 | ~ 'E'(s(s('0')),f(suc(suc(A_3))))
% 77.42/77.42 | ~ iLEQ(suc(A_3),suc(B_17))
% 77.42/77.42 | ~ 'E'(f(A_3),f(suc(A_3)))
% 77.42/77.42 | ~ 'E'(s(s('0')),f(A_3))
% 77.42/77.42 | 'E'(f(B_17),f(suc(B_17))) ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_36,axiom,
% 77.42/77.42 ( ~ 'E'(s(s('0')),f(suc(B_17)))
% 77.42/77.42 | ~ 'E'(s(s('0')),f(B_17))
% 77.42/77.42 | ~ 'E'(s(s('0')),f(suc(A_3)))
% 77.42/77.42 | ~ iLEQ(suc(A_3),suc(B_17))
% 77.42/77.42 | ~ 'E'(f(B_17),f(suc(B_17)))
% 77.42/77.42 | ~ 'E'(s(s('0')),f(A_3))
% 77.42/77.42 | ~ 'E'(s(s('0')),f(suc(suc(B_17))))
% 77.42/77.42 | 'E'(f(A_3),f(suc(A_3))) ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_194,axiom,
% 77.42/77.42 ( ~ iLEQ(suc(A_5),suc(B_24))
% 77.42/77.42 | ~ 'E'('0',f(A_5))
% 77.42/77.42 | ~ 'E'('0',f(suc(A_5)))
% 77.42/77.42 | ~ 'E'('0',f(suc(suc(A_5))))
% 77.42/77.42 | ~ 'E'('0',f(suc(B_24)))
% 77.42/77.42 | ~ 'E'('0',f(B_24))
% 77.42/77.42 | ~ 'E'(f(A_5),f(suc(A_5)))
% 77.42/77.42 | 'E'(f(B_24),f(suc(B_24))) ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_181,axiom,
% 77.42/77.42 ( ~ 'E'(f(B_24),f(suc(B_24)))
% 77.42/77.42 | ~ 'E'('0',f(suc(suc(B_24))))
% 77.42/77.42 | ~ iLEQ(suc(A_5),suc(B_24))
% 77.42/77.42 | ~ 'E'('0',f(A_5))
% 77.42/77.42 | ~ 'E'('0',f(suc(A_5)))
% 77.42/77.42 | ~ 'E'('0',f(suc(B_24)))
% 77.42/77.42 | ~ 'E'('0',f(B_24))
% 77.42/77.42 | 'E'(f(A_5),f(suc(A_5))) ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_31,axiom,
% 77.42/77.42 ( ~ iLEQ(suc(A_2),suc(B_12))
% 77.42/77.42 | ~ 'E'(s(s(s('0'))),f(suc(A_2)))
% 77.42/77.42 | ~ 'E'(s(s(s('0'))),f(B_12))
% 77.42/77.42 | ~ 'E'(s(s(s('0'))),f(A_2))
% 77.42/77.42 | ~ 'E'(s(s(s('0'))),f(suc(B_12)))
% 77.42/77.42 | ~ 'E'(s(s(s('0'))),f(suc(suc(A_2))))
% 77.42/77.42 | ~ 'E'(f(A_2),f(suc(A_2)))
% 77.42/77.42 | 'E'(f(B_12),f(suc(B_12))) ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_168,axiom,
% 77.42/77.42 ( ~ 'LE'(f(suc(B_23)),s('0'))
% 77.42/77.42 | 'E'('0',f(suc(B_23)))
% 77.42/77.42 | 'LE'(f(B_23),'0') ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_192,axiom,
% 77.42/77.42 ( ~ iLEQ(suc(A_4),suc(B_21))
% 77.42/77.42 | ~ 'E'(f(A_4),f(suc(A_4)))
% 77.42/77.42 | ~ 'E'(s('0'),f(suc(B_21)))
% 77.42/77.42 | ~ 'E'(s('0'),f(B_21))
% 77.42/77.42 | ~ 'E'(s('0'),f(suc(suc(A_4))))
% 77.42/77.42 | ~ 'E'(s('0'),f(suc(A_4)))
% 77.42/77.42 | ~ 'E'(s('0'),f(A_4))
% 77.42/77.42 | 'E'(f(B_21),f(suc(B_21))) ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_30,axiom,
% 77.42/77.42 ( ~ 'LE'(f(suc(B_20)),s(s('0')))
% 77.42/77.42 | 'E'(s('0'),f(suc(B_20)))
% 77.42/77.42 | 'LE'(f(B_20),s('0')) ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_87,axiom,
% 77.42/77.42 ( ~ iLEQ(suc(A_4),suc(B_21))
% 77.42/77.42 | ~ 'E'(s('0'),f(suc(B_21)))
% 77.42/77.42 | ~ 'E'(s('0'),f(B_21))
% 77.42/77.42 | ~ 'E'(s('0'),f(suc(A_4)))
% 77.42/77.42 | ~ 'E'(s('0'),f(A_4))
% 77.42/77.42 | 'E'(f(A_4),f(suc(A_4)))
% 77.42/77.42 | 'E'(f(B_21),f(suc(B_21))) ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_105,axiom,
% 77.42/77.42 ( ~ 'E'(f(B_24),f(suc(B_24)))
% 77.42/77.42 | ~ 'E'('0',f(suc(suc(B_24))))
% 77.42/77.42 | ~ iLEQ(suc(A_5),suc(B_24))
% 77.42/77.42 | ~ 'E'('0',f(A_5))
% 77.42/77.42 | ~ 'E'('0',f(suc(A_5)))
% 77.42/77.42 | ~ 'E'('0',f(suc(suc(A_5))))
% 77.42/77.42 | ~ 'E'('0',f(suc(B_24)))
% 77.42/77.42 | ~ 'E'('0',f(B_24))
% 77.42/77.42 | ~ 'E'(f(A_5),f(suc(A_5))) ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_116,axiom,
% 77.42/77.42 ( ~ 'LE'(f(suc(suc(B_20))),s(s('0')))
% 77.42/77.42 | 'E'(s('0'),f(suc(suc(B_20))))
% 77.42/77.42 | 'LE'(f(B_20),s('0')) ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_113,axiom,
% 77.42/77.42 ( ~ 'LE'(f(B_5),s(s(s(s(s('0'))))))
% 77.42/77.42 | 'E'(s(s(s(s('0')))),f(B_5))
% 77.42/77.42 | 'LE'(f(B_5),s(s(s(s('0'))))) ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_44,axiom,
% 77.42/77.42 ( ~ 'E'('0',f(suc(suc(A_5))))
% 77.42/77.42 | ~ 'E'('0',f(suc(A_5)))
% 77.42/77.42 | ~ 'E'(f(A_5),f(suc(A_5)))
% 77.42/77.42 | ~ 'E'('0',f(A_5))
% 77.42/77.42 | iLEQ(suc(A_5),suc(A_5)) ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_34,axiom,
% 77.42/77.42 ( ~ 'E'(s(s(s(s('0')))),f(B_6))
% 77.42/77.42 | ~ iLEQ(suc(A_1),suc(B_6))
% 77.42/77.42 | ~ 'E'(s(s(s(s('0')))),f(suc(B_6)))
% 77.42/77.42 | ~ 'E'(s(s(s(s('0')))),f(suc(A_1)))
% 77.42/77.42 | ~ 'E'(s(s(s(s('0')))),f(A_1))
% 77.42/77.42 | 'E'(f(A_1),f(suc(A_1)))
% 77.42/77.42 | 'E'(f(B_6),f(suc(B_6))) ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_111,axiom,
% 77.42/77.42 ( ~ 'LE'(f(suc(B_11)),s(s(s(s('0')))))
% 77.42/77.42 | 'E'(s(s(s('0'))),f(suc(B_11)))
% 77.42/77.42 | 'LE'(f(B_11),s(s(s('0')))) ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_19,axiom,
% 77.42/77.42 ( ~ 'E'('0',f(A_5))
% 77.42/77.42 | ~ 'E'('0',f(suc(A_5)))
% 77.42/77.42 | 'E'(f(A_5),f(suc(A_5)))
% 77.42/77.42 | iLEQ(suc(A_5),suc(A_5)) ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_115,axiom,
% 77.42/77.42 ( ~ 'E'(s(s('0')),f(suc(B_17)))
% 77.42/77.42 | ~ 'E'(s(s('0')),f(B_17))
% 77.42/77.42 | ~ 'E'(s(s('0')),f(suc(A_3)))
% 77.42/77.42 | ~ iLEQ(suc(A_3),suc(B_17))
% 77.42/77.42 | ~ 'E'(s(s('0')),f(A_3))
% 77.42/77.42 | 'E'(f(A_3),f(suc(A_3)))
% 77.42/77.42 | 'E'(f(B_17),f(suc(B_17))) ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_11,axiom,
% 77.42/77.42 ( ~ 'LE'(f(suc(suc(B_23))),s('0'))
% 77.42/77.42 | 'E'('0',f(suc(suc(B_23))))
% 77.42/77.42 | 'LE'(f(B_23),'0') ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_9,axiom,
% 77.42/77.42 ( ~ 'E'(s(s(s(s('0')))),f(B_6))
% 77.42/77.42 | ~ iLEQ(suc(A_1),suc(B_6))
% 77.42/77.42 | ~ 'E'(s(s(s(s('0')))),f(suc(B_6)))
% 77.42/77.42 | ~ 'E'(s(s(s(s('0')))),f(suc(suc(A_1))))
% 77.42/77.42 | ~ 'E'(s(s(s(s('0')))),f(suc(A_1)))
% 77.42/77.42 | ~ 'E'(f(A_1),f(suc(A_1)))
% 77.42/77.42 | ~ 'E'(s(s(s(s('0')))),f(A_1))
% 77.42/77.42 | 'E'(f(B_6),f(suc(B_6))) ) ).
% 77.42/77.42
% 77.42/77.42 cnf(clause_73,axiom,
% 77.42/77.42 ( ~ iLEQ(suc(A_2),suc(B_12))
% 77.42/77.42 | ~ 'E'(s(s(s('0'))),f(suc(A_2)))
% 77.42/77.42 | ~ 'E'(s(s(s('0'))),f(B_12))
% 77.42/77.42 | ~ 'E'(s(s(s('0'))),f(A_2))
% 77.42/77.42 | ~ 'E'(f(B_12),f(suc(B_12)))
% 77.42/77.43 | ~ 'E'(s(s(s('0'))),f(suc(B_12)))
% 77.42/77.43 | ~ 'E'(s(s(s('0'))),f(suc(suc(B_12))))
% 77.42/77.43 | ~ 'E'(s(s(s('0'))),f(suc(suc(A_2))))
% 77.42/77.43 | ~ 'E'(f(A_2),f(suc(A_2))) ) ).
% 77.42/77.43
% 77.42/77.43 cnf(clause_204,axiom,
% 77.42/77.43 ( ~ 'E'(s('0'),f(A_4))
% 77.42/77.43 | ~ 'E'(s('0'),f(suc(A_4)))
% 77.42/77.43 | 'E'(f(A_4),f(suc(A_4)))
% 77.42/77.43 | iLEQ(suc(A_4),suc(A_4)) ) ).
% 77.42/77.43
% 77.42/77.43 cnf(clause_53,axiom,
% 77.42/77.43 'LE'(f(A),s(s(s(s(s('0')))))) ).
% 77.42/77.43
% 77.42/77.43 cnf(clause_183,axiom,
% 77.42/77.43 ( ~ 'E'(s(s(s(s('0')))),f(B_6))
% 77.42/77.43 | ~ iLEQ(suc(A_1),suc(B_6))
% 77.42/77.43 | ~ 'E'(s(s(s(s('0')))),f(suc(suc(B_6))))
% 77.42/77.43 | ~ 'E'(s(s(s(s('0')))),f(suc(B_6)))
% 77.42/77.43 | ~ 'E'(s(s(s(s('0')))),f(suc(suc(A_1))))
% 77.42/77.43 | ~ 'E'(s(s(s(s('0')))),f(suc(A_1)))
% 77.42/77.43 | ~ 'E'(f(A_1),f(suc(A_1)))
% 77.42/77.43 | ~ 'E'(s(s(s(s('0')))),f(A_1))
% 77.42/77.43 | ~ 'E'(f(B_6),f(suc(B_6))) ) ).
% 77.42/77.43
% 77.42/77.43 cnf(clause_173,axiom,
% 77.42/77.43 ( ~ 'LE'(f(B_23),s('0'))
% 77.42/77.43 | 'E'('0',f(B_23))
% 77.42/77.43 | 'LE'(f(B_23),'0') ) ).
% 77.42/77.43
% 77.42/77.43 %------------------------------------------------------------------------------
% 77.42/77.43 %-------------------------------------------
% 77.42/77.43 % Proof found
% 77.42/77.43 % SZS status Theorem for theBenchmark
% 77.42/77.43 % SZS output start Proof
% 77.42/77.43 %ClaNum:47(EqnAxiom:0)
% 77.42/77.43 %VarNum:331(SingletonVarNum:66)
% 77.42/77.43 %MaxLitNum:9
% 77.42/77.43 %MaxfuncDepth:5
% 77.42/77.43 %SharedTerms:9
% 77.42/77.43 [2]~P1(f1(a4),a2)
% 77.42/77.43 [1]P1(f1(x11),f3(f3(f3(f3(f3(a2))))))
% 77.42/77.43 [3]~P1(f1(x31),f3(a2))+P2(a2,f1(x31))+P1(f1(x31),a2)
% 77.42/77.43 [4]P1(f1(x41),f3(a2))+P2(f3(a2),f1(x41))+~P1(f1(x41),f3(f3(a2)))
% 77.42/77.43 [5]P1(f1(x51),a2)+~P1(f1(f5(x51)),f3(a2))+P2(a2,f1(f5(x51)))
% 77.42/77.43 [6]P1(f1(x61),f3(a2))+~P1(f1(f5(x61)),f3(f3(a2)))+P2(f3(a2),f1(f5(x61)))
% 77.42/77.43 [8]P1(f1(x81),f3(f3(a2)))+P2(f3(f3(a2)),f1(x81))+~P1(f1(x81),f3(f3(f3(a2))))
% 77.42/77.43 [10]P1(f1(x101),a2)+~P1(f1(f5(f5(x101))),f3(a2))+P2(a2,f1(f5(f5(x101))))
% 77.42/77.43 [11]P2(f3(f3(a2)),f1(f5(x111)))+P1(f1(x111),f3(f3(a2)))+~P1(f1(f5(x111)),f3(f3(f3(a2))))
% 77.42/77.43 [13]P1(f1(x131),f3(a2))+~P1(f1(f5(f5(x131))),f3(f3(a2)))+P2(f3(a2),f1(f5(f5(x131))))
% 77.42/77.43 [15]P1(f1(x151),f3(f3(a2)))+~P1(f1(f5(f5(x151))),f3(f3(f3(a2))))+P2(f3(f3(a2)),f1(f5(f5(x151))))
% 77.42/77.43 [14]P1(f1(x141),f3(f3(f3(a2))))+P2(f3(f3(f3(a2))),f1(x141))+~P1(f1(x141),f3(f3(f3(f3(a2)))))
% 77.42/77.43 [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)))))
% 77.42/77.43 [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)))))
% 77.42/77.43 [31]P1(f1(x311),f3(f3(f3(f3(a2)))))+P2(f3(f3(f3(f3(a2)))),f1(x311))+~P1(f1(x311),f3(f3(f3(f3(f3(a2))))))
% 77.42/77.43 [32]P2(f3(f3(f3(f3(a2)))),f1(f5(x321)))+P1(f1(x321),f3(f3(f3(f3(a2)))))+~P1(f1(f5(x321)),f3(f3(f3(f3(f3(a2))))))
% 77.42/77.43 [37]P2(f3(f3(f3(f3(a2)))),f1(f5(f5(x371))))+P1(f1(x371),f3(f3(f3(f3(a2)))))+~P1(f1(f5(f5(x371))),f3(f3(f3(f3(f3(a2))))))
% 77.42/77.43 [7]P3(f5(x71),f5(x71))+~P2(a2,f1(x71))+P2(f1(x71),f1(f5(x71)))+~P2(a2,f1(f5(x71)))
% 77.42/77.43 [9]P3(f5(x91),f5(x91))+~P2(f3(a2),f1(x91))+P2(f1(x91),f1(f5(x91)))+~P2(f3(a2),f1(f5(x91)))
% 77.42/77.43 [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)))
% 77.42/77.43 [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)))
% 77.42/77.43 [24]P3(f5(x241),f5(x241))+P2(f1(x241),f1(f5(x241)))+~P2(f3(f3(f3(f3(a2)))),f1(x241))+~P2(f3(f3(f3(f3(a2)))),f1(f5(x241)))
% 77.42/77.43 [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))))
% 77.42/77.43 [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))))
% 77.42/77.43 [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))))
% 77.42/77.43 [28]P3(f5(x281),f5(x281))+~P2(f1(x281),f1(f5(x281)))+~P2(f3(f3(f3(a2))),f1(x281))+~P2(f3(f3(f3(a2))),f1(f5(x281)))+~P2(f3(f3(f3(a2))),f1(f5(f5(x281))))
% 77.42/77.43 [39]P3(f5(x391),f5(x391))+~P2(f1(x391),f1(f5(x391)))+~P2(f3(f3(f3(f3(a2)))),f1(x391))+~P2(f3(f3(f3(f3(a2)))),f1(f5(x391)))+~P2(f3(f3(f3(f3(a2)))),f1(f5(f5(x391))))
% 77.42/77.43 [20]~P3(f5(x202),f5(x201))+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)))
% 77.42/77.43 [21]~P3(f5(x212),f5(x211))+~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)))
% 77.42/77.43 [25]~P3(f5(x251),f5(x252))+P2(f1(x251),f1(f5(x251)))+P2(f1(x252),f1(f5(x252)))+~P2(f3(f3(a2)),f1(f5(x251)))+~P2(f3(f3(a2)),f1(f5(x252)))+~P2(f3(f3(a2)),f1(x251))+~P2(f3(f3(a2)),f1(x252))
% 77.42/77.43 [33]~P3(f5(x332),f5(x331))+P2(f1(x331),f1(f5(x331)))+P2(f1(x332),f1(f5(x332)))+~P2(f3(f3(f3(a2))),f1(f5(x331)))+~P2(f3(f3(f3(a2))),f1(f5(x332)))+~P2(f3(f3(f3(a2))),f1(x331))+~P2(f3(f3(f3(a2))),f1(x332))
% 77.42/77.43 [43]~P3(f5(x431),f5(x432))+P2(f1(x431),f1(f5(x431)))+P2(f1(x432),f1(f5(x432)))+~P2(f3(f3(f3(f3(a2)))),f1(f5(x431)))+~P2(f3(f3(f3(f3(a2)))),f1(f5(x432)))+~P2(f3(f3(f3(f3(a2)))),f1(x431))+~P2(f3(f3(f3(f3(a2)))),f1(x432))
% 77.42/77.43 [26]~P3(f5(x261),f5(x262))+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))))
% 77.42/77.43 [27]~P3(f5(x272),f5(x271))+P2(f1(x271),f1(f5(x271)))+~P2(a2,f1(x271))+~P2(f1(x272),f1(f5(x272)))+~P2(a2,f1(x272))+~P2(a2,f1(f5(x271)))+~P2(a2,f1(f5(x272)))+~P2(a2,f1(f5(f5(x272))))
% 77.42/77.43 [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))))
% 77.42/77.43 [30]~P3(f5(x301),f5(x302))+~P2(f3(a2),f1(x302))+~P2(f3(a2),f1(x301))+P2(f1(x301),f1(f5(x301)))+~P2(f1(x302),f1(f5(x302)))+~P2(f3(a2),f1(f5(x301)))+~P2(f3(a2),f1(f5(x302)))+~P2(f3(a2),f1(f5(f5(x302))))
% 77.42/77.43 [34]~P3(f5(x341),f5(x342))+P2(f1(x341),f1(f5(x341)))+~P2(f1(x342),f1(f5(x342)))+~P2(f3(f3(a2)),f1(x342))+~P2(f3(f3(a2)),f1(f5(x341)))+~P2(f3(f3(a2)),f1(x341))+~P2(f3(f3(a2)),f1(f5(x342)))+~P2(f3(f3(a2)),f1(f5(f5(x342))))
% 77.42/77.43 [35]~P3(f5(x352),f5(x351))+P2(f1(x351),f1(f5(x351)))+~P2(f1(x352),f1(f5(x352)))+~P2(f3(f3(a2)),f1(x352))+~P2(f3(f3(a2)),f1(f5(x351)))+~P2(f3(f3(a2)),f1(x351))+~P2(f3(f3(a2)),f1(f5(x352)))+~P2(f3(f3(a2)),f1(f5(f5(x352))))
% 77.42/77.43 [41]~P3(f5(x412),f5(x411))+P2(f1(x411),f1(f5(x411)))+~P2(f1(x412),f1(f5(x412)))+~P2(f3(f3(f3(a2))),f1(x412))+~P2(f3(f3(f3(a2))),f1(f5(x411)))+~P2(f3(f3(f3(a2))),f1(x411))+~P2(f3(f3(f3(a2))),f1(f5(x412)))+~P2(f3(f3(f3(a2))),f1(f5(f5(x412))))
% 77.42/77.43 [42]~P3(f5(x421),f5(x422))+P2(f1(x421),f1(f5(x421)))+~P2(f1(x422),f1(f5(x422)))+~P2(f3(f3(f3(a2))),f1(x422))+~P2(f3(f3(f3(a2))),f1(f5(x421)))+~P2(f3(f3(f3(a2))),f1(x421))+~P2(f3(f3(f3(a2))),f1(f5(x422)))+~P2(f3(f3(f3(a2))),f1(f5(f5(x422))))
% 77.42/77.43 [45]~P3(f5(x451),f5(x452))+P2(f1(x451),f1(f5(x451)))+~P2(f1(x452),f1(f5(x452)))+~P2(f3(f3(f3(f3(a2)))),f1(x452))+~P2(f3(f3(f3(f3(a2)))),f1(f5(x451)))+~P2(f3(f3(f3(f3(a2)))),f1(x451))+~P2(f3(f3(f3(f3(a2)))),f1(f5(x452)))+~P2(f3(f3(f3(f3(a2)))),f1(f5(f5(x452))))
% 77.42/77.43 [46]~P3(f5(x462),f5(x461))+P2(f1(x461),f1(f5(x461)))+~P2(f1(x462),f1(f5(x462)))+~P2(f3(f3(f3(f3(a2)))),f1(x462))+~P2(f3(f3(f3(f3(a2)))),f1(f5(x461)))+~P2(f3(f3(f3(f3(a2)))),f1(x461))+~P2(f3(f3(f3(f3(a2)))),f1(f5(x462)))+~P2(f3(f3(f3(f3(a2)))),f1(f5(f5(x462))))
% 77.42/77.43 [36]~P3(f5(x361),f5(x362))+~P2(f1(x361),f1(f5(x361)))+~P2(a2,f1(x361))+~P2(f1(x362),f1(f5(x362)))+~P2(a2,f1(x362))+~P2(a2,f1(f5(x361)))+~P2(a2,f1(f5(x362)))+~P2(a2,f1(f5(f5(x361))))+~P2(a2,f1(f5(f5(x362))))
% 77.42/77.43 [38]~P3(f5(x381),f5(x382))+~P2(f3(a2),f1(x382))+~P2(f3(a2),f1(x381))+~P2(f1(x381),f1(f5(x381)))+~P2(f1(x382),f1(f5(x382)))+~P2(f3(a2),f1(f5(x381)))+~P2(f3(a2),f1(f5(x382)))+~P2(f3(a2),f1(f5(f5(x381))))+~P2(f3(a2),f1(f5(f5(x382))))
% 77.42/77.43 [40]~P3(f5(x401),f5(x402))+~P2(f1(x401),f1(f5(x401)))+~P2(f1(x402),f1(f5(x402)))+~P2(f3(f3(a2)),f1(x401))+~P2(f3(f3(a2)),f1(x402))+~P2(f3(f3(a2)),f1(f5(x401)))+~P2(f3(f3(a2)),f1(f5(x402)))+~P2(f3(f3(a2)),f1(f5(f5(x401))))+~P2(f3(f3(a2)),f1(f5(f5(x402))))
% 77.42/77.43 [44]~P3(f5(x441),f5(x442))+~P2(f1(x441),f1(f5(x441)))+~P2(f1(x442),f1(f5(x442)))+~P2(f3(f3(f3(a2))),f1(x442))+~P2(f3(f3(f3(a2))),f1(x441))+~P2(f3(f3(f3(a2))),f1(f5(x441)))+~P2(f3(f3(f3(a2))),f1(f5(f5(x441))))+~P2(f3(f3(f3(a2))),f1(f5(x442)))+~P2(f3(f3(f3(a2))),f1(f5(f5(x442))))
% 77.42/77.43 [47]~P3(f5(x471),f5(x472))+~P2(f1(x471),f1(f5(x471)))+~P2(f1(x472),f1(f5(x472)))+~P2(f3(f3(f3(f3(a2)))),f1(x471))+~P2(f3(f3(f3(f3(a2)))),f1(x472))+~P2(f3(f3(f3(f3(a2)))),f1(f5(x471)))+~P2(f3(f3(f3(f3(a2)))),f1(f5(f5(x471))))+~P2(f3(f3(f3(f3(a2)))),f1(f5(x472)))+~P2(f3(f3(f3(f3(a2)))),f1(f5(f5(x472))))
% 77.42/77.43 %EqnAxiom
% 77.42/77.43
% 77.42/77.43 %-------------------------------------------
% 77.42/77.43 cnf(48,plain,
% 77.42/77.43 (~P1(f1(a4),f3(a2))+P2(a2,f1(a4))),
% 77.42/77.43 inference(scs_inference,[],[2,3])).
% 77.42/77.43 cnf(49,plain,
% 77.42/77.43 (~P1(f1(f5(f5(a4))),f3(a2))+P2(a2,f1(f5(f5(a4))))),
% 77.42/77.43 inference(scs_inference,[],[2,3,10])).
% 77.42/77.43 cnf(50,plain,
% 77.42/77.43 (~P1(f1(f5(a4)),f3(a2))+P2(a2,f1(f5(a4)))),
% 77.42/77.43 inference(scs_inference,[],[2,3,10,5])).
% 77.42/77.43 cnf(54,plain,
% 77.42/77.43 (P2(a2,f1(a4))+~P1(f1(f5(a4)),f3(f3(a2)))+P2(f3(a2),f1(f5(a4)))),
% 77.42/77.43 inference(scs_inference,[],[2,3,10,5,13,6])).
% 77.42/77.43 cnf(59,plain,
% 77.42/77.43 (~P1(f1(a4),f3(a2))+P3(f5(a4),f5(a4))+P2(f1(a4),f1(f5(a4)))+~P2(a2,f1(f5(a4)))),
% 77.42/77.43 inference(scs_inference,[],[48,7])).
% 77.42/77.43 cnf(83,plain,
% 77.42/77.43 (~P2(f3(a2),f1(x831))+~P2(f1(x831),f1(f5(x831)))+~P2(f3(a2),f1(f5(x831)))+~P2(f3(a2),f1(f5(f5(x831))))),
% 77.42/77.43 inference(scs_inference,[],[38,19])).
% 77.42/77.43 cnf(84,plain,
% 77.42/77.43 (~P2(f1(x841),f1(f5(x841)))+~P2(f3(f3(a2)),f1(x841))+~P2(f3(f3(a2)),f1(f5(x841)))+~P2(f3(f3(a2)),f1(f5(f5(x841))))),
% 77.42/77.43 inference(scs_inference,[],[40,22])).
% 77.42/77.43 cnf(85,plain,
% 77.42/77.43 (~P2(f1(x851),f1(f5(x851)))+~P2(f3(f3(f3(a2))),f1(x851))+~P2(f3(f3(f3(a2))),f1(f5(x851)))+~P2(f3(f3(f3(a2))),f1(f5(f5(x851))))),
% 77.42/77.43 inference(scs_inference,[],[44,28])).
% 77.42/77.43 cnf(86,plain,
% 77.42/77.43 (~P2(f1(x861),f1(f5(x861)))+~P2(f3(f3(f3(f3(a2)))),f1(x861))+~P2(f3(f3(f3(f3(a2)))),f1(f5(f5(x861))))+~P2(f3(f3(f3(f3(a2)))),f1(f5(x861)))),
% 77.42/77.43 inference(scs_inference,[],[47,39])).
% 77.42/77.43 cnf(87,plain,
% 77.42/77.43 (P2(a2,f1(a4))+P2(f3(a2),f1(a4))+~P1(f1(a4),f3(f3(a2)))),
% 77.42/77.43 inference(scs_inference,[],[48,4])).
% 77.42/77.43 cnf(89,plain,
% 77.42/77.43 (~P1(f1(a4),f3(a2))+~P3(f5(a4),f5(a4))+P2(f1(a4),f1(f5(a4)))+~P2(a2,f1(f5(a4)))),
% 77.42/77.43 inference(scs_inference,[],[48,20])).
% 77.42/77.43 cnf(96,plain,
% 77.42/77.43 (~P1(f1(f5(a4)),f3(a2))+~P1(f1(a4),f3(a2))+P2(f1(a4),f1(f5(a4)))+~P3(f5(a4),f5(a4))),
% 77.42/77.43 inference(scs_inference,[],[50,89])).
% 77.42/77.43 cnf(101,plain,
% 77.42/77.43 (~P1(f1(f5(a4)),f3(a2))+~P1(f1(a4),f3(a2))+P2(f1(a4),f1(f5(a4)))+P3(f5(a4),f5(a4))),
% 77.42/77.43 inference(scs_inference,[],[50,59])).
% 77.42/77.43 cnf(124,plain,
% 77.42/77.43 (P2(a2,f1(a4))+P2(f3(a2),f1(a4))+~P1(f1(f5(f5(a4))),f3(f3(f3(a2))))+P2(f3(f3(a2)),f1(f5(f5(a4))))),
% 77.42/77.43 inference(scs_inference,[],[87,15])).
% 77.42/77.43 cnf(135,plain,
% 77.42/77.43 (~P1(f1(a4),f3(a2))+P2(f1(a4),f1(f5(a4)))+~P3(f5(a4),f5(a4))+P2(f3(a2),f1(f5(a4)))+~P1(f1(f5(a4)),f3(f3(a2)))),
% 77.42/77.43 inference(scs_inference,[],[4,96])).
% 77.42/77.43 cnf(137,plain,
% 77.42/77.43 (~P1(f1(a4),f3(a2))+P2(f1(a4),f1(f5(a4)))+P3(f5(a4),f5(a4))+P2(f3(a2),f1(f5(a4)))+~P1(f1(f5(a4)),f3(f3(a2)))),
% 77.42/77.43 inference(scs_inference,[],[4,101])).
% 77.42/77.43 cnf(249,plain,
% 77.42/77.43 (P2(f3(a2),f1(f5(a4)))+~P1(f1(f5(a4)),f3(f3(a2)))+P2(f1(a4),f1(f5(a4)))+~P3(f5(a4),f5(a4))),
% 77.42/77.43 inference(scs_inference,[],[6,135])).
% 77.42/77.43 cnf(250,plain,
% 77.42/77.43 (P2(f3(a2),f1(f5(a4)))+~P1(f1(f5(a4)),f3(f3(a2)))+P2(f1(a4),f1(f5(a4)))+P3(f5(a4),f5(a4))),
% 77.42/77.43 inference(scs_inference,[],[6,137])).
% 77.42/77.43 cnf(284,plain,
% 77.42/77.43 (~P2(f1(x2841),f1(f5(x2841)))+~P2(f3(f3(a2)),f1(f5(x2841)))+~P2(f3(f3(a2)),f1(f5(f5(x2841))))+P1(f1(x2841),f3(f3(a2)))+~P1(f1(x2841),f3(f3(f3(a2))))),
% 77.42/77.43 inference(scs_inference,[],[8,84])).
% 77.42/77.43 cnf(392,plain,
% 77.42/77.43 (~P2(f1(x3921),f1(f5(x3921)))+~P2(f3(a2),f1(f5(x3921)))+~P2(f3(a2),f1(x3921))+P1(f1(x3921),f3(a2))+~P1(f1(f5(f5(x3921))),f3(f3(a2)))),
% 77.42/77.43 inference(scs_inference,[],[13,83])).
% 77.42/77.43 cnf(438,plain,
% 77.42/77.43 (~P2(f1(x4381),f1(f5(x4381)))+~P2(f3(f3(a2)),f1(f5(f5(x4381))))+~P2(f3(f3(a2)),f1(x4381))+P1(f1(x4381),f3(f3(a2)))+~P1(f1(f5(x4381)),f3(f3(f3(a2))))),
% 77.42/77.43 inference(scs_inference,[],[11,84])).
% 77.42/77.43 cnf(543,plain,
% 77.42/77.43 (P2(f3(f3(f3(f3(a2)))),f1(x5431))+P1(f1(x5431),f3(f3(f3(f3(a2)))))),
% 77.42/77.43 inference(scs_inference,[],[1,31])).
% 77.42/77.43 cnf(553,plain,
% 77.42/77.43 (~P2(f1(x5531),f1(f5(x5531)))+~P2(f3(f3(f3(f3(a2)))),f1(f5(x5531)))+~P2(f3(f3(f3(f3(a2)))),f1(f5(f5(x5531))))+P1(f1(x5531),f3(f3(f3(f3(a2)))))),
% 77.42/77.43 inference(scs_inference,[],[543,86])).
% 77.42/77.43 cnf(597,plain,
% 77.42/77.43 (P1(f1(x5971),f3(f3(f3(f3(a2)))))+P2(f3(f3(f3(f3(a2)))),f1(f5(f5(x5971))))),
% 77.42/77.43 inference(scs_inference,[],[1,37])).
% 77.42/77.43 cnf(633,plain,
% 77.42/77.43 (~P2(f1(x6331),f1(f5(x6331)))+~P2(f3(f3(f3(f3(a2)))),f1(f5(x6331)))+P1(f1(x6331),f3(f3(f3(f3(a2)))))),
% 77.42/77.43 inference(scs_inference,[],[597,553])).
% 77.42/77.43 cnf(661,plain,
% 77.42/77.43 (~P2(f1(x6611),f1(f5(x6611)))+~P2(f3(f3(f3(a2))),f1(f5(f5(x6611))))+~P2(f3(f3(f3(a2))),f1(f5(x6611)))+P1(f1(x6611),f3(f3(f3(a2))))+~P1(f1(x6611),f3(f3(f3(f3(a2)))))),
% 77.42/77.43 inference(scs_inference,[],[14,85])).
% 77.42/77.43 cnf(985,plain,
% 77.42/77.43 (~P2(f1(x9851),f1(f5(x9851)))+P1(f1(x9851),f3(f3(f3(f3(a2)))))),
% 77.42/77.43 inference(scs_inference,[],[1,633,32])).
% 77.42/77.43 cnf(986,plain,
% 77.42/77.43 (P1(f1(x9861),f3(f3(f3(f3(a2)))))+P2(f3(f3(f3(f3(a2)))),f1(f5(x9861)))),
% 77.42/77.43 inference(scs_inference,[],[1,32])).
% 77.42/77.43 cnf(1002,plain,
% 77.42/77.43 (~P2(a2,f1(x10021))+P2(f1(x10021),f1(f5(x10021)))+~P2(a2,f1(f5(x10021)))),
% 77.42/77.43 inference(scs_inference,[],[7,20])).
% 77.42/77.43 cnf(1006,plain,
% 77.42/77.43 (P2(f1(a4),f1(f5(a4)))+~P2(a2,f1(a4))+~P1(f1(f5(a4)),f3(a2))),
% 77.42/77.43 inference(scs_inference,[],[2,1002,5])).
% 77.42/77.43 cnf(1011,plain,
% 77.42/77.43 (~P2(f3(a2),f1(x10111))+P2(f1(x10111),f1(f5(x10111)))+~P2(f3(a2),f1(f5(x10111)))),
% 77.42/77.43 inference(scs_inference,[],[9,21])).
% 77.42/77.43 cnf(1013,plain,
% 77.42/77.43 (P2(f1(x10131),f1(f5(x10131)))+~P2(f3(f3(f3(f3(a2)))),f1(x10131))+~P2(f3(f3(f3(f3(a2)))),f1(f5(x10131)))),
% 77.42/77.43 inference(scs_inference,[],[24,43])).
% 77.42/77.43 cnf(1042,plain,
% 77.42/77.43 (P2(f1(x10421),f1(f5(x10421)))+~P2(f3(f3(f3(f3(a2)))),f1(f5(x10421)))+P1(f1(x10421),f3(f3(f3(f3(a2)))))),
% 77.42/77.43 inference(scs_inference,[],[1013,543])).
% 77.42/77.43 cnf(1043,plain,
% 77.42/77.43 (~P2(f3(f3(f3(f3(a2)))),f1(f5(x10431)))+P1(f1(x10431),f3(f3(f3(f3(a2)))))),
% 77.42/77.43 inference(scs_inference,[],[1042,985])).
% 77.42/77.43 cnf(1046,plain,
% 77.42/77.43 (P1(f1(x10461),f3(f3(f3(f3(a2)))))),
% 77.42/77.43 inference(scs_inference,[],[1043,986])).
% 77.42/77.43 cnf(1098,plain,
% 77.42/77.43 (P2(f3(f3(f3(a2))),f1(x10981))+P1(f1(x10981),f3(f3(f3(a2))))),
% 77.42/77.43 inference(scs_inference,[],[1046,14])).
% 77.42/77.43 cnf(1099,plain,
% 77.42/77.43 (P1(f1(x10991),f3(f3(f3(a2))))+P2(f3(f3(f3(a2))),f1(f5(f5(x10991))))),
% 77.42/77.43 inference(scs_inference,[],[1046,14,23])).
% 77.42/77.43 cnf(1108,plain,
% 77.42/77.43 (P1(f1(x11081),f3(f3(f3(a2))))+P2(f3(f3(f3(a2))),f1(f5(x11081)))),
% 77.42/77.43 inference(scs_inference,[],[1046,18])).
% 77.42/77.43 cnf(1145,plain,
% 77.42/77.43 (~P2(f1(x11451),f1(f5(x11451)))+~P2(f3(f3(f3(a2))),f1(f5(x11451)))+P1(f1(x11451),f3(f3(f3(a2))))),
% 77.42/77.43 inference(scs_inference,[],[1046,1099,661])).
% 77.42/77.43 cnf(1286,plain,
% 77.42/77.43 (P2(f3(f3(f3(a2))),f1(f5(x12861)))+P1(f1(x12861),f3(f3(a2)))+P2(f3(f3(a2)),f1(x12861))),
% 77.42/77.43 inference(scs_inference,[],[1108,8])).
% 77.42/77.43 cnf(1290,plain,
% 77.42/77.43 (~P2(f1(x12901),f1(f5(x12901)))+P1(f1(x12901),f3(f3(f3(a2))))),
% 77.42/77.43 inference(scs_inference,[],[1108,1145])).
% 77.42/77.43 cnf(1375,plain,
% 77.42/77.43 (P2(f1(x13751),f1(f5(x13751)))+~P2(f3(f3(a2)),f1(x13751))+~P2(f3(f3(a2)),f1(f5(x13751)))),
% 77.42/77.43 inference(scs_inference,[],[25,12])).
% 77.42/77.43 cnf(1377,plain,
% 77.42/77.43 (P2(f1(x13771),f1(f5(x13771)))+~P2(f3(f3(f3(a2))),f1(x13771))+~P2(f3(f3(f3(a2))),f1(f5(x13771)))),
% 77.42/77.43 inference(scs_inference,[],[33,16])).
% 77.42/77.43 cnf(1379,plain,
% 77.42/77.43 (~P2(f3(f3(f3(a2))),f1(f5(x13791)))+~P2(f3(f3(f3(a2))),f1(x13791))+P1(f1(x13791),f3(f3(f3(a2))))),
% 77.42/77.43 inference(scs_inference,[],[1377,1290])).
% 77.42/77.43 cnf(1380,plain,
% 77.42/77.43 (~P2(f3(f3(f3(a2))),f1(f5(x13801)))+P1(f1(x13801),f3(f3(f3(a2))))),
% 77.42/77.43 inference(scs_inference,[],[1379,1098])).
% 77.42/77.43 cnf(1381,plain,
% 77.42/77.43 (~P2(f3(f3(f3(a2))),f1(f5(x13811)))+P1(f1(x13811),f3(f3(a2)))+P2(f3(f3(a2)),f1(x13811))),
% 77.42/77.43 inference(scs_inference,[],[1380,8])).
% 77.42/77.43 cnf(1382,plain,
% 77.42/77.43 (P1(f1(x13821),f3(f3(a2)))+P2(f3(f3(a2)),f1(x13821))),
% 77.42/77.43 inference(scs_inference,[],[1381,1286])).
% 77.42/77.43 cnf(1383,plain,
% 77.42/77.43 (P2(f1(x13831),f1(f5(x13831)))+~P2(f3(f3(a2)),f1(f5(x13831)))+P1(f1(x13831),f3(f3(a2)))),
% 77.42/77.43 inference(scs_inference,[],[1382,1375])).
% 77.42/77.43 cnf(1400,plain,
% 77.42/77.43 (P1(f1(x14001),f3(f3(f3(a2))))),
% 77.42/77.43 inference(scs_inference,[],[1108,1380])).
% 77.42/77.43 cnf(1407,plain,
% 77.42/77.43 (P2(a2,f1(a4))+P2(f3(f3(a2)),f1(f5(f5(a4))))+P2(f3(a2),f1(a4))),
% 77.42/77.43 inference(scs_inference,[],[1400,124])).
% 77.42/77.43 cnf(1640,plain,
% 77.42/77.43 (P1(f1(x16401),f3(f3(a2)))+P2(f3(f3(a2)),f1(f5(f5(x16401))))),
% 77.42/77.43 inference(scs_inference,[],[1400,15])).
% 77.42/77.43 cnf(1874,plain,
% 77.42/77.43 (P1(f1(x18741),f3(f3(f3(a2))))),
% 77.42/77.43 inference(rename_variables,[],[1400])).
% 77.42/77.43 cnf(1875,plain,
% 77.42/77.43 (~P2(f1(x18751),f1(f5(x18751)))+~P2(f3(f3(a2)),f1(f5(x18751)))+~P2(f3(f3(a2)),f1(f5(f5(x18751))))+P1(f1(x18751),f3(f3(a2)))),
% 77.42/77.43 inference(scs_inference,[],[1400,1874,284])).
% 77.42/77.43 cnf(1971,plain,
% 77.42/77.43 (P1(f1(x19711),f3(f3(f3(a2))))),
% 77.42/77.43 inference(rename_variables,[],[1400])).
% 77.42/77.43 cnf(1973,plain,
% 77.42/77.43 (~P2(f1(x19731),f1(f5(x19731)))+~P2(f3(f3(a2)),f1(f5(f5(x19731))))+~P2(f3(f3(a2)),f1(x19731))+P1(f1(x19731),f3(f3(a2)))),
% 77.42/77.43 inference(scs_inference,[],[1400,1971,438])).
% 77.42/77.43 cnf(2897,plain,
% 77.42/77.43 (P2(f1(x28971),f1(f5(x28971)))+P1(f1(x28971),f3(f3(a2)))),
% 77.42/77.43 inference(scs_inference,[],[1400,1383,11])).
% 77.42/77.43 cnf(2898,plain,
% 77.42/77.43 (P1(f1(x28981),f3(f3(a2)))+P2(f3(f3(a2)),f1(f5(x28981)))),
% 77.42/77.43 inference(scs_inference,[],[1400,11])).
% 77.42/77.43 cnf(2968,plain,
% 77.42/77.43 (~P2(f3(f3(a2)),f1(f5(f5(x29681))))+~P2(f3(f3(a2)),f1(f5(x29681)))+P1(f1(x29681),f3(f3(a2)))),
% 77.42/77.43 inference(scs_inference,[],[2897,1875])).
% 77.42/77.43 cnf(2971,plain,
% 77.42/77.43 (~P2(f3(f3(a2)),f1(f5(x29711)))+P1(f1(x29711),f3(f3(a2)))),
% 77.42/77.43 inference(scs_inference,[],[2968,1640])).
% 77.42/77.43 cnf(2981,plain,
% 77.42/77.43 (~P2(f3(f3(a2)),f1(f5(f5(x29811))))+P1(f1(x29811),f3(f3(a2)))+~P2(f3(f3(a2)),f1(x29811))),
% 77.42/77.43 inference(scs_inference,[],[2897,1973])).
% 77.42/77.43 cnf(2982,plain,
% 77.42/77.43 (~P2(f3(f3(a2)),f1(f5(f5(x29821))))+P1(f1(x29821),f3(f3(a2)))),
% 77.42/77.43 inference(scs_inference,[],[2981,1382])).
% 77.42/77.43 cnf(2983,plain,
% 77.42/77.43 (~P2(f3(f3(a2)),f1(f5(f5(x29831))))+P1(f1(x29831),f3(a2))+P2(f3(a2),f1(x29831))),
% 77.42/77.43 inference(scs_inference,[],[2982,4])).
% 77.42/77.43 cnf(2984,plain,
% 77.42/77.43 (P2(a2,f1(a4))+P2(f3(a2),f1(a4))+P1(f1(a4),f3(a2))),
% 77.42/77.43 inference(scs_inference,[],[2983,1407])).
% 77.42/77.43 cnf(2985,plain,
% 77.42/77.43 (P2(a2,f1(a4))+P2(f3(a2),f1(a4))),
% 77.42/77.43 inference(scs_inference,[],[2984,48])).
% 77.42/77.43 cnf(2988,plain,
% 77.42/77.43 (P2(a2,f1(a4))+P2(f1(a4),f1(f5(a4)))+~P2(f3(a2),f1(f5(a4)))),
% 77.42/77.43 inference(scs_inference,[],[2985,1011])).
% 77.42/77.43 cnf(2998,plain,
% 77.42/77.44 (P1(f1(x29981),f3(f3(a2)))),
% 77.42/77.44 inference(scs_inference,[],[2898,2971])).
% 77.42/77.44 cnf(3000,plain,
% 77.42/77.44 (P2(a2,f1(a4))+P2(f3(a2),f1(f5(a4)))),
% 77.42/77.44 inference(scs_inference,[],[2998,54])).
% 77.42/77.44 cnf(3048,plain,
% 77.42/77.44 (P2(f1(a4),f1(f5(a4)))+~P3(f5(a4),f5(a4))+P2(f3(a2),f1(f5(a4)))),
% 77.42/77.44 inference(scs_inference,[],[2998,249])).
% 77.42/77.44 cnf(3049,plain,
% 77.42/77.44 (P2(f1(a4),f1(f5(a4)))+P2(f3(a2),f1(f5(a4)))+P3(f5(a4),f5(a4))),
% 77.42/77.44 inference(scs_inference,[],[2998,250])).
% 77.42/77.44 cnf(3122,plain,
% 77.42/77.44 (P1(f1(x31221),f3(a2))+P2(f3(a2),f1(x31221))),
% 77.42/77.44 inference(scs_inference,[],[2998,4])).
% 77.42/77.44 cnf(3124,plain,
% 77.42/77.44 (P1(f1(x31241),f3(a2))+P2(f3(a2),f1(f5(x31241)))),
% 77.42/77.44 inference(scs_inference,[],[2998,4,6])).
% 77.42/77.44 cnf(3163,plain,
% 77.42/77.44 (~P2(f1(x31631),f1(f5(x31631)))+~P2(f3(a2),f1(f5(x31631)))+~P2(f3(a2),f1(x31631))+P1(f1(x31631),f3(a2))),
% 77.42/77.44 inference(scs_inference,[],[2998,392])).
% 77.42/77.44 cnf(3361,plain,
% 77.42/77.44 (P2(f1(a4),f1(f5(a4)))+P2(f3(a2),f1(f5(a4)))),
% 77.42/77.44 inference(scs_inference,[],[3048,3049])).
% 77.42/77.44 cnf(3364,plain,
% 77.42/77.44 (P2(f1(a4),f1(f5(a4)))+P2(a2,f1(a4))),
% 77.42/77.44 inference(scs_inference,[],[3361,2988])).
% 77.42/77.44 cnf(3367,plain,
% 77.42/77.44 (P2(f1(a4),f1(f5(a4)))+~P1(f1(f5(a4)),f3(a2))),
% 77.42/77.44 inference(scs_inference,[],[3364,1006])).
% 77.42/77.44 cnf(3413,plain,
% 77.42/77.44 (P2(f1(x34131),f1(f5(x34131)))+~P2(f3(a2),f1(f5(x34131)))+P1(f1(x34131),f3(a2))),
% 77.42/77.44 inference(scs_inference,[],[3122,1011])).
% 77.42/77.44 cnf(3414,plain,
% 77.42/77.44 (~P2(f3(a2),f1(f5(x34141)))+~P2(f3(a2),f1(x34141))+P1(f1(x34141),f3(a2))),
% 77.42/77.44 inference(scs_inference,[],[3413,3163])).
% 77.42/77.44 cnf(3415,plain,
% 77.42/77.44 (P2(a2,f1(a4))+~P2(f3(a2),f1(a4))+~P2(f3(a2),f1(f5(a4)))),
% 77.42/77.44 inference(scs_inference,[],[3414,48])).
% 77.42/77.44 cnf(3416,plain,
% 77.42/77.44 (P2(a2,f1(a4))+~P2(f3(a2),f1(a4))),
% 77.42/77.44 inference(scs_inference,[],[3415,3000])).
% 77.42/77.44 cnf(3428,plain,
% 77.42/77.44 (P2(a2,f1(a4))),
% 77.42/77.44 inference(scs_inference,[],[3416,2985])).
% 77.42/77.44 cnf(3441,plain,
% 77.42/77.44 (P2(f1(a4),f1(f5(a4)))+~P2(a2,f1(f5(a4)))),
% 77.42/77.44 inference(scs_inference,[],[3428,1002])).
% 77.42/77.44 cnf(3444,plain,
% 77.42/77.44 (P3(f5(a4),f5(a4))+~P2(a2,f1(f5(a4)))+~P2(a2,f1(f5(f5(a4))))),
% 77.42/77.44 inference(scs_inference,[],[3428,3441,17])).
% 77.42/77.44 cnf(3445,plain,
% 77.42/77.44 (~P3(f5(a4),f5(a4))+~P2(f1(a4),f1(f5(a4)))+~P2(a2,f1(f5(a4)))+~P2(a2,f1(f5(f5(a4))))),
% 77.42/77.44 inference(scs_inference,[],[3428,36])).
% 77.42/77.44 cnf(3463,plain,
% 77.42/77.44 (P1(f1(x34631),f3(a2))+~P2(f3(a2),f1(f5(x34631)))),
% 77.42/77.44 inference(scs_inference,[],[3122,3414])).
% 77.42/77.44 cnf(3536,plain,
% 77.42/77.44 (P1(f1(x35361),f3(a2))),
% 77.42/77.44 inference(scs_inference,[],[3124,3463])).
% 77.42/77.44 cnf(3537,plain,
% 77.42/77.44 (P2(a2,f1(f5(f5(a4))))),
% 77.42/77.44 inference(scs_inference,[],[3536,49])).
% 77.42/77.44 cnf(3538,plain,
% 77.42/77.44 (P2(a2,f1(f5(a4)))),
% 77.42/77.44 inference(scs_inference,[],[3536,50])).
% 77.42/77.44 cnf(3550,plain,
% 77.42/77.44 (P2(f1(a4),f1(f5(a4)))),
% 77.42/77.44 inference(scs_inference,[],[3536,3367])).
% 77.42/77.44 cnf(3592,plain,
% 77.42/77.44 (P3(f5(a4),f5(a4))),
% 77.42/77.44 inference(scs_inference,[],[3537,3538,3444])).
% 77.42/77.44 cnf(3593,plain,
% 77.42/77.44 (~P3(f5(a4),f5(a4))),
% 77.42/77.44 inference(scs_inference,[],[3538,3537,3550,3445])).
% 77.42/77.44 cnf(3596,plain,
% 77.42/77.44 ($false),
% 77.42/77.44 inference(scs_inference,[],[3593,3592]),
% 77.42/77.44 ['proof']).
% 77.42/77.44 % SZS output end Proof
% 77.42/77.44 % Total time :76.770000s
%------------------------------------------------------------------------------