TSTP Solution File: NUM343+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM343+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n001.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 : Thu Aug 31 10:21:35 EDT 2023
% Result : Theorem 0.17s 0.72s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM343+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.32 % Computer : n001.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri Aug 25 12:18:43 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.55 start to proof:theBenchmark
% 0.17/0.71 %-------------------------------------------
% 0.17/0.71 % File :CSE---1.6
% 0.17/0.71 % Problem :theBenchmark
% 0.17/0.71 % Transform :cnf
% 0.17/0.71 % Format :tptp:raw
% 0.17/0.71 % Command :java -jar mcs_scs.jar %d %s
% 0.17/0.71
% 0.17/0.71 % Result :Theorem 0.020000s
% 0.17/0.71 % Output :CNFRefutation 0.020000s
% 0.17/0.71 %-------------------------------------------
% 0.17/0.71 %------------------------------------------------------------------------------
% 0.17/0.71 % File : NUM343+1 : TPTP v8.1.2. Released v3.1.0.
% 0.17/0.71 % Domain : Number Theory (RDN arithmetic)
% 0.17/0.71 % Problem : -1 < ? & ? < 1 => 21 + ? = 21
% 0.17/0.71 % Version : Especial.
% 0.17/0.71 % English :
% 0.17/0.71
% 0.17/0.71 % Refs :
% 0.17/0.71 % Source : [TPTP]
% 0.17/0.71 % Names :
% 0.17/0.71
% 0.17/0.71 % Status : Theorem
% 0.17/0.71 % Rating : 0.11 v7.5.0, 0.12 v7.4.0, 0.17 v7.1.0, 0.13 v6.4.0, 0.12 v6.3.0, 0.21 v6.2.0, 0.24 v6.1.0, 0.23 v6.0.0, 0.30 v5.5.0, 0.22 v5.4.0, 0.21 v5.3.0, 0.22 v5.2.0, 0.15 v5.1.0, 0.10 v5.0.0, 0.12 v4.1.0, 0.13 v4.0.0, 0.12 v3.7.0, 0.15 v3.5.0, 0.16 v3.3.0, 0.14 v3.2.0, 0.27 v3.1.0
% 0.17/0.71 % Syntax : Number of formulae : 402 ( 374 unt; 0 def)
% 0.17/0.71 % Number of atoms : 475 ( 5 equ)
% 0.17/0.71 % Maximal formula atoms : 8 ( 1 avg)
% 0.17/0.71 % Number of connectives : 75 ( 2 ~; 1 |; 44 &)
% 0.17/0.71 % ( 3 <=>; 25 =>; 0 <=; 0 <~>)
% 0.17/0.71 % Maximal formula depth : 19 ( 1 avg)
% 0.17/0.71 % Maximal term depth : 5 ( 2 avg)
% 0.17/0.71 % Number of predicates : 11 ( 10 usr; 0 prp; 1-4 aty)
% 0.17/0.71 % Number of functors : 260 ( 260 usr; 256 con; 0-2 aty)
% 0.17/0.71 % Number of variables : 122 ( 121 !; 1 ?)
% 0.17/0.71 % SPC : FOF_THM_RFO_SEQ
% 0.17/0.71
% 0.17/0.72 % Comments :
% 0.17/0.72 %------------------------------------------------------------------------------
% 0.17/0.72 %----Include axioms for RDN arithmetic
% 0.17/0.72 include('Axioms/NUM005+0.ax').
% 0.17/0.72 include('Axioms/NUM005+1.ax').
% 0.17/0.72 include('Axioms/NUM005+2.ax').
% 0.17/0.72 %------------------------------------------------------------------------------
% 0.17/0.72 fof(sum_something_n0_samething,conjecture,
% 0.17/0.72 ? [X] :
% 0.17/0.72 ( ( less(nn1,X)
% 0.17/0.72 & less(X,n1) )
% 0.17/0.72 => sum(n21,X,n21) ) ).
% 0.17/0.72
% 0.17/0.72 %------------------------------------------------------------------------------
% 0.17/0.72 %-------------------------------------------
% 0.17/0.72 % Proof found
% 0.17/0.72 % SZS status Theorem for theBenchmark
% 0.17/0.72 % SZS output start Proof
% 0.17/0.72 %ClaNum:441(EqnAxiom:32)
% 0.17/0.72 %VarNum:274(SingletonVarNum:135)
% 0.17/0.72 %MaxLitNum:8
% 0.17/0.72 %MaxfuncDepth:4
% 0.17/0.72 %SharedTerms:951
% 0.17/0.72 %goalClause: 42 43 409
% 0.17/0.72 %singleGoalClaCount:3
% 0.17/0.72 [33]P1(f3(a1))
% 0.17/0.72 [34]P1(f3(a4))
% 0.17/0.72 [35]P1(f3(a43))
% 0.17/0.72 [36]P1(f3(a54))
% 0.17/0.72 [37]P1(f3(a65))
% 0.17/0.72 [38]P1(f3(a76))
% 0.17/0.72 [39]P1(f3(a87))
% 0.17/0.72 [40]P1(f3(a98))
% 0.17/0.72 [41]P1(f3(a109))
% 0.17/0.72 [44]P8(f3(a2),f3(a1))
% 0.17/0.72 [45]P8(f3(a1),f3(a4))
% 0.17/0.72 [46]P8(f3(a4),f3(a43))
% 0.17/0.72 [47]P8(f3(a43),f3(a54))
% 0.17/0.72 [48]P8(f3(a54),f3(a65))
% 0.17/0.72 [49]P8(f3(a65),f3(a76))
% 0.17/0.72 [50]P8(f3(a76),f3(a87))
% 0.17/0.72 [51]P8(f3(a87),f3(a98))
% 0.17/0.72 [52]P8(f3(a98),f3(a109))
% 0.17/0.72 [309]P4(f3(a2),f3(a2),f3(a2),f3(a2))
% 0.17/0.72 [310]P4(f3(a2),f3(a1),f3(a1),f3(a2))
% 0.17/0.72 [311]P4(f3(a2),f3(a4),f3(a4),f3(a2))
% 0.17/0.72 [312]P4(f3(a2),f3(a43),f3(a43),f3(a2))
% 0.17/0.72 [313]P4(f3(a2),f3(a54),f3(a54),f3(a2))
% 0.17/0.72 [314]P4(f3(a2),f3(a65),f3(a65),f3(a2))
% 0.17/0.72 [315]P4(f3(a2),f3(a76),f3(a76),f3(a2))
% 0.17/0.72 [316]P4(f3(a2),f3(a87),f3(a87),f3(a2))
% 0.17/0.72 [317]P4(f3(a2),f3(a98),f3(a98),f3(a2))
% 0.17/0.72 [318]P4(f3(a2),f3(a109),f3(a109),f3(a2))
% 0.17/0.72 [319]P4(f3(a1),f3(a2),f3(a1),f3(a2))
% 0.17/0.72 [320]P4(f3(a1),f3(a1),f3(a4),f3(a2))
% 0.17/0.72 [321]P4(f3(a1),f3(a4),f3(a43),f3(a2))
% 0.17/0.72 [322]P4(f3(a1),f3(a43),f3(a54),f3(a2))
% 0.17/0.72 [323]P4(f3(a1),f3(a54),f3(a65),f3(a2))
% 0.17/0.72 [324]P4(f3(a1),f3(a65),f3(a76),f3(a2))
% 0.17/0.72 [325]P4(f3(a1),f3(a76),f3(a87),f3(a2))
% 0.17/0.72 [326]P4(f3(a1),f3(a87),f3(a98),f3(a2))
% 0.17/0.72 [327]P4(f3(a1),f3(a98),f3(a109),f3(a2))
% 0.17/0.72 [328]P4(f3(a1),f3(a109),f3(a2),f3(a1))
% 0.17/0.72 [329]P4(f3(a4),f3(a2),f3(a4),f3(a2))
% 0.17/0.72 [330]P4(f3(a4),f3(a1),f3(a43),f3(a2))
% 0.17/0.72 [331]P4(f3(a4),f3(a4),f3(a54),f3(a2))
% 0.17/0.72 [332]P4(f3(a4),f3(a43),f3(a65),f3(a2))
% 0.17/0.72 [333]P4(f3(a4),f3(a54),f3(a76),f3(a2))
% 0.17/0.72 [334]P4(f3(a4),f3(a65),f3(a87),f3(a2))
% 0.17/0.72 [335]P4(f3(a4),f3(a76),f3(a98),f3(a2))
% 0.17/0.72 [336]P4(f3(a4),f3(a87),f3(a109),f3(a2))
% 0.17/0.72 [337]P4(f3(a4),f3(a98),f3(a2),f3(a1))
% 0.17/0.72 [338]P4(f3(a4),f3(a109),f3(a1),f3(a1))
% 0.17/0.72 [339]P4(f3(a43),f3(a2),f3(a43),f3(a2))
% 0.17/0.72 [340]P4(f3(a43),f3(a1),f3(a54),f3(a2))
% 0.17/0.72 [341]P4(f3(a43),f3(a4),f3(a65),f3(a2))
% 0.17/0.72 [342]P4(f3(a43),f3(a43),f3(a76),f3(a2))
% 0.17/0.72 [343]P4(f3(a43),f3(a54),f3(a87),f3(a2))
% 0.17/0.72 [344]P4(f3(a43),f3(a65),f3(a98),f3(a2))
% 0.17/0.72 [345]P4(f3(a43),f3(a76),f3(a109),f3(a2))
% 0.17/0.72 [346]P4(f3(a43),f3(a87),f3(a2),f3(a1))
% 0.17/0.72 [347]P4(f3(a43),f3(a98),f3(a1),f3(a1))
% 0.17/0.72 [348]P4(f3(a43),f3(a109),f3(a4),f3(a1))
% 0.17/0.72 [349]P4(f3(a54),f3(a2),f3(a54),f3(a2))
% 0.17/0.72 [350]P4(f3(a54),f3(a1),f3(a65),f3(a2))
% 0.17/0.72 [351]P4(f3(a54),f3(a4),f3(a76),f3(a2))
% 0.17/0.72 [352]P4(f3(a54),f3(a43),f3(a87),f3(a2))
% 0.17/0.72 [353]P4(f3(a54),f3(a54),f3(a98),f3(a2))
% 0.17/0.72 [354]P4(f3(a54),f3(a65),f3(a109),f3(a2))
% 0.17/0.72 [355]P4(f3(a54),f3(a76),f3(a2),f3(a1))
% 0.17/0.72 [356]P4(f3(a54),f3(a87),f3(a1),f3(a1))
% 0.17/0.72 [357]P4(f3(a54),f3(a98),f3(a4),f3(a1))
% 0.17/0.72 [358]P4(f3(a54),f3(a109),f3(a43),f3(a1))
% 0.17/0.72 [359]P4(f3(a65),f3(a2),f3(a65),f3(a2))
% 0.17/0.72 [360]P4(f3(a65),f3(a1),f3(a76),f3(a2))
% 0.17/0.72 [361]P4(f3(a65),f3(a4),f3(a87),f3(a2))
% 0.17/0.72 [362]P4(f3(a65),f3(a43),f3(a98),f3(a2))
% 0.17/0.72 [363]P4(f3(a65),f3(a54),f3(a109),f3(a2))
% 0.17/0.72 [364]P4(f3(a65),f3(a65),f3(a2),f3(a1))
% 0.17/0.72 [365]P4(f3(a65),f3(a76),f3(a1),f3(a1))
% 0.17/0.72 [366]P4(f3(a65),f3(a87),f3(a4),f3(a1))
% 0.17/0.72 [367]P4(f3(a65),f3(a98),f3(a43),f3(a1))
% 0.17/0.72 [368]P4(f3(a65),f3(a109),f3(a54),f3(a1))
% 0.17/0.72 [369]P4(f3(a76),f3(a2),f3(a76),f3(a2))
% 0.17/0.72 [370]P4(f3(a76),f3(a1),f3(a87),f3(a2))
% 0.17/0.72 [371]P4(f3(a76),f3(a4),f3(a98),f3(a2))
% 0.17/0.72 [372]P4(f3(a76),f3(a43),f3(a109),f3(a2))
% 0.17/0.72 [373]P4(f3(a76),f3(a54),f3(a2),f3(a1))
% 0.17/0.72 [374]P4(f3(a76),f3(a65),f3(a1),f3(a1))
% 0.17/0.72 [375]P4(f3(a76),f3(a76),f3(a4),f3(a1))
% 0.17/0.72 [376]P4(f3(a76),f3(a87),f3(a43),f3(a1))
% 0.17/0.72 [377]P4(f3(a76),f3(a98),f3(a54),f3(a1))
% 0.17/0.72 [378]P4(f3(a76),f3(a109),f3(a65),f3(a1))
% 0.17/0.72 [379]P4(f3(a87),f3(a2),f3(a87),f3(a2))
% 0.17/0.72 [380]P4(f3(a87),f3(a1),f3(a98),f3(a2))
% 0.17/0.72 [381]P4(f3(a87),f3(a4),f3(a109),f3(a2))
% 0.17/0.72 [382]P4(f3(a87),f3(a43),f3(a2),f3(a1))
% 0.17/0.72 [383]P4(f3(a87),f3(a54),f3(a1),f3(a1))
% 0.17/0.72 [384]P4(f3(a87),f3(a65),f3(a4),f3(a1))
% 0.17/0.72 [385]P4(f3(a87),f3(a76),f3(a43),f3(a1))
% 0.17/0.72 [386]P4(f3(a87),f3(a87),f3(a54),f3(a1))
% 0.17/0.72 [387]P4(f3(a87),f3(a98),f3(a65),f3(a1))
% 0.17/0.72 [388]P4(f3(a87),f3(a109),f3(a76),f3(a1))
% 0.17/0.72 [389]P4(f3(a98),f3(a2),f3(a98),f3(a2))
% 0.17/0.72 [390]P4(f3(a98),f3(a1),f3(a109),f3(a2))
% 0.17/0.72 [391]P4(f3(a98),f3(a4),f3(a2),f3(a1))
% 0.17/0.72 [392]P4(f3(a98),f3(a43),f3(a1),f3(a1))
% 0.17/0.72 [393]P4(f3(a98),f3(a54),f3(a4),f3(a1))
% 0.17/0.72 [394]P4(f3(a98),f3(a65),f3(a43),f3(a1))
% 0.17/0.72 [395]P4(f3(a98),f3(a76),f3(a54),f3(a1))
% 0.17/0.72 [396]P4(f3(a98),f3(a87),f3(a65),f3(a1))
% 0.17/0.72 [397]P4(f3(a98),f3(a98),f3(a76),f3(a1))
% 0.17/0.72 [398]P4(f3(a98),f3(a109),f3(a87),f3(a1))
% 0.17/0.72 [399]P4(f3(a109),f3(a2),f3(a109),f3(a2))
% 0.17/0.72 [400]P4(f3(a109),f3(a1),f3(a2),f3(a1))
% 0.17/0.72 [401]P4(f3(a109),f3(a4),f3(a1),f3(a1))
% 0.17/0.72 [402]P4(f3(a109),f3(a43),f3(a4),f3(a1))
% 0.17/0.72 [403]P4(f3(a109),f3(a54),f3(a43),f3(a1))
% 0.17/0.72 [404]P4(f3(a109),f3(a65),f3(a54),f3(a1))
% 0.17/0.72 [405]P4(f3(a109),f3(a76),f3(a65),f3(a1))
% 0.17/0.72 [406]P4(f3(a109),f3(a87),f3(a76),f3(a1))
% 0.17/0.72 [407]P4(f3(a109),f3(a98),f3(a87),f3(a1))
% 0.17/0.72 [408]P4(f3(a109),f3(a109),f3(a98),f3(a1))
% 0.17/0.72 [53]P9(a2,f131(f3(a2)))
% 0.17/0.72 [54]P9(a1,f131(f3(a1)))
% 0.17/0.72 [55]P9(a4,f131(f3(a4)))
% 0.17/0.72 [56]P9(a43,f131(f3(a43)))
% 0.17/0.72 [57]P9(a54,f131(f3(a54)))
% 0.17/0.72 [58]P9(a65,f131(f3(a65)))
% 0.17/0.72 [59]P9(a76,f131(f3(a76)))
% 0.17/0.72 [60]P9(a87,f131(f3(a87)))
% 0.17/0.72 [61]P9(a98,f131(f3(a98)))
% 0.17/0.72 [62]P9(a109,f131(f3(a109)))
% 0.17/0.72 [63]P9(a120,f132(f3(a1)))
% 0.17/0.72 [64]P9(a133,f132(f3(a4)))
% 0.17/0.72 [65]P9(a173,f132(f3(a43)))
% 0.17/0.72 [66]P9(a184,f132(f3(a54)))
% 0.17/0.72 [67]P9(a195,f132(f3(a65)))
% 0.17/0.72 [68]P9(a206,f132(f3(a76)))
% 0.17/0.72 [69]P9(a217,f132(f3(a87)))
% 0.17/0.72 [70]P9(a228,f132(f3(a98)))
% 0.17/0.72 [71]P9(a239,f132(f3(a109)))
% 0.17/0.72 [72]P9(a5,f131(f250(f3(a2),f3(a1))))
% 0.17/0.72 [73]P9(a6,f131(f250(f3(a1),f3(a1))))
% 0.17/0.72 [74]P9(a17,f131(f250(f3(a4),f3(a1))))
% 0.17/0.72 [75]P9(a28,f131(f250(f3(a43),f3(a1))))
% 0.17/0.72 [76]P9(a37,f131(f250(f3(a54),f3(a1))))
% 0.17/0.72 [77]P9(a38,f131(f250(f3(a65),f3(a1))))
% 0.17/0.72 [78]P9(a39,f131(f250(f3(a76),f3(a1))))
% 0.17/0.72 [79]P9(a40,f131(f250(f3(a87),f3(a1))))
% 0.17/0.72 [80]P9(a41,f131(f250(f3(a98),f3(a1))))
% 0.17/0.72 [81]P9(a42,f131(f250(f3(a109),f3(a1))))
% 0.17/0.72 [82]P9(a44,f131(f250(f3(a2),f3(a4))))
% 0.17/0.72 [83]P9(a45,f131(f250(f3(a1),f3(a4))))
% 0.17/0.72 [84]P9(a46,f131(f250(f3(a4),f3(a4))))
% 0.17/0.72 [85]P9(a47,f131(f250(f3(a43),f3(a4))))
% 0.17/0.72 [86]P9(a48,f131(f250(f3(a54),f3(a4))))
% 0.17/0.72 [87]P9(a49,f131(f250(f3(a65),f3(a4))))
% 0.17/0.72 [88]P9(a50,f131(f250(f3(a76),f3(a4))))
% 0.17/0.72 [89]P9(a51,f131(f250(f3(a87),f3(a4))))
% 0.17/0.72 [90]P9(a52,f131(f250(f3(a98),f3(a4))))
% 0.17/0.72 [91]P9(a53,f131(f250(f3(a109),f3(a4))))
% 0.17/0.72 [92]P9(a55,f131(f250(f3(a2),f3(a43))))
% 0.17/0.72 [93]P9(a56,f131(f250(f3(a1),f3(a43))))
% 0.17/0.72 [94]P9(a57,f131(f250(f3(a4),f3(a43))))
% 0.17/0.72 [95]P9(a58,f131(f250(f3(a43),f3(a43))))
% 0.17/0.72 [96]P9(a59,f131(f250(f3(a54),f3(a43))))
% 0.17/0.72 [97]P9(a60,f131(f250(f3(a65),f3(a43))))
% 0.17/0.72 [98]P9(a61,f131(f250(f3(a76),f3(a43))))
% 0.17/0.72 [99]P9(a62,f131(f250(f3(a87),f3(a43))))
% 0.17/0.72 [100]P9(a63,f131(f250(f3(a98),f3(a43))))
% 0.17/0.72 [101]P9(a64,f131(f250(f3(a109),f3(a43))))
% 0.17/0.72 [102]P9(a66,f131(f250(f3(a2),f3(a54))))
% 0.17/0.72 [103]P9(a67,f131(f250(f3(a1),f3(a54))))
% 0.17/0.72 [104]P9(a68,f131(f250(f3(a4),f3(a54))))
% 0.17/0.72 [105]P9(a69,f131(f250(f3(a43),f3(a54))))
% 0.17/0.72 [106]P9(a70,f131(f250(f3(a54),f3(a54))))
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% 0.17/0.72 [108]P9(a72,f131(f250(f3(a76),f3(a54))))
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% 0.17/0.72 [119]P9(a84,f131(f250(f3(a87),f3(a65))))
% 0.17/0.72 [120]P9(a85,f131(f250(f3(a98),f3(a65))))
% 0.17/0.72 [121]P9(a86,f131(f250(f3(a109),f3(a65))))
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% 0.17/0.72 [126]P9(a92,f131(f250(f3(a54),f3(a76))))
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% 0.17/0.72 [130]P9(a96,f131(f250(f3(a98),f3(a76))))
% 0.17/0.72 [131]P9(a97,f131(f250(f3(a109),f3(a76))))
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% 0.17/0.72 [137]P9(a104,f131(f250(f3(a65),f3(a87))))
% 0.17/0.72 [138]P9(a105,f131(f250(f3(a76),f3(a87))))
% 0.17/0.72 [139]P9(a106,f131(f250(f3(a87),f3(a87))))
% 0.17/0.72 [140]P9(a107,f131(f250(f3(a98),f3(a87))))
% 0.17/0.72 [141]P9(a108,f131(f250(f3(a109),f3(a87))))
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% 0.17/0.72 [143]P9(a111,f131(f250(f3(a1),f3(a98))))
% 0.17/0.72 [144]P9(a112,f131(f250(f3(a4),f3(a98))))
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% 0.17/0.72 [149]P9(a117,f131(f250(f3(a87),f3(a98))))
% 0.17/0.72 [150]P9(a118,f131(f250(f3(a98),f3(a98))))
% 0.17/0.72 [151]P9(a119,f131(f250(f3(a109),f3(a98))))
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% 0.17/0.73 [153]P9(a122,f131(f250(f3(a1),f3(a109))))
% 0.17/0.73 [154]P9(a123,f131(f250(f3(a4),f3(a109))))
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% 0.17/0.73 [156]P9(a125,f131(f250(f3(a54),f3(a109))))
% 0.17/0.73 [157]P9(a126,f131(f250(f3(a65),f3(a109))))
% 0.17/0.73 [158]P9(a127,f131(f250(f3(a76),f3(a109))))
% 0.17/0.73 [159]P9(a128,f131(f250(f3(a87),f3(a109))))
% 0.17/0.73 [160]P9(a129,f131(f250(f3(a98),f3(a109))))
% 0.17/0.73 [161]P9(a130,f131(f250(f3(a109),f3(a109))))
% 0.17/0.73 [162]P9(a134,f132(f250(f3(a2),f3(a1))))
% 0.17/0.73 [163]P9(a135,f132(f250(f3(a1),f3(a1))))
% 0.17/0.73 [164]P9(a146,f132(f250(f3(a4),f3(a1))))
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% 0.17/0.73 [167]P9(a168,f132(f250(f3(a65),f3(a1))))
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% 0.17/0.73 [169]P9(a170,f132(f250(f3(a87),f3(a1))))
% 0.17/0.73 [170]P9(a171,f132(f250(f3(a98),f3(a1))))
% 0.17/0.73 [171]P9(a172,f132(f250(f3(a109),f3(a1))))
% 0.17/0.73 [172]P9(a174,f132(f250(f3(a2),f3(a4))))
% 0.17/0.73 [173]P9(a175,f132(f250(f3(a1),f3(a4))))
% 0.17/0.73 [174]P9(a176,f132(f250(f3(a4),f3(a4))))
% 0.17/0.73 [175]P9(a177,f132(f250(f3(a43),f3(a4))))
% 0.17/0.73 [176]P9(a178,f132(f250(f3(a54),f3(a4))))
% 0.17/0.73 [177]P9(a179,f132(f250(f3(a65),f3(a4))))
% 0.17/0.73 [178]P9(a180,f132(f250(f3(a76),f3(a4))))
% 0.17/0.73 [179]P9(a181,f132(f250(f3(a87),f3(a4))))
% 0.17/0.73 [180]P9(a182,f132(f250(f3(a98),f3(a4))))
% 0.17/0.73 [181]P9(a183,f132(f250(f3(a109),f3(a4))))
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% 0.17/0.73 [183]P9(a186,f132(f250(f3(a1),f3(a43))))
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% 0.17/0.73 [185]P9(a188,f132(f250(f3(a43),f3(a43))))
% 0.17/0.73 [186]P9(a189,f132(f250(f3(a54),f3(a43))))
% 0.17/0.73 [187]P9(a190,f132(f250(f3(a65),f3(a43))))
% 0.17/0.73 [188]P9(a191,f132(f250(f3(a76),f3(a43))))
% 0.17/0.73 [189]P9(a192,f132(f250(f3(a87),f3(a43))))
% 0.17/0.73 [190]P9(a193,f132(f250(f3(a98),f3(a43))))
% 0.17/0.73 [191]P9(a194,f132(f250(f3(a109),f3(a43))))
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% 0.17/0.73 [194]P9(a198,f132(f250(f3(a4),f3(a54))))
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% 0.17/0.73 [197]P9(a201,f132(f250(f3(a65),f3(a54))))
% 0.17/0.73 [198]P9(a202,f132(f250(f3(a76),f3(a54))))
% 0.17/0.73 [199]P9(a203,f132(f250(f3(a87),f3(a54))))
% 0.17/0.73 [200]P9(a204,f132(f250(f3(a98),f3(a54))))
% 0.17/0.73 [201]P9(a205,f132(f250(f3(a109),f3(a54))))
% 0.17/0.73 [202]P9(a207,f132(f250(f3(a2),f3(a65))))
% 0.17/0.73 [203]P9(a208,f132(f250(f3(a1),f3(a65))))
% 0.17/0.73 [204]P9(a209,f132(f250(f3(a4),f3(a65))))
% 0.17/0.73 [205]P9(a210,f132(f250(f3(a43),f3(a65))))
% 0.17/0.73 [206]P9(a211,f132(f250(f3(a54),f3(a65))))
% 0.17/0.73 [207]P9(a212,f132(f250(f3(a65),f3(a65))))
% 0.17/0.73 [208]P9(a213,f132(f250(f3(a76),f3(a65))))
% 0.17/0.73 [209]P9(a214,f132(f250(f3(a87),f3(a65))))
% 0.17/0.73 [210]P9(a215,f132(f250(f3(a98),f3(a65))))
% 0.17/0.73 [211]P9(a216,f132(f250(f3(a109),f3(a65))))
% 0.17/0.73 [212]P9(a218,f132(f250(f3(a2),f3(a76))))
% 0.17/0.73 [213]P9(a219,f132(f250(f3(a1),f3(a76))))
% 0.17/0.73 [214]P9(a220,f132(f250(f3(a4),f3(a76))))
% 0.17/0.73 [215]P9(a221,f132(f250(f3(a43),f3(a76))))
% 0.17/0.73 [216]P9(a222,f132(f250(f3(a54),f3(a76))))
% 0.17/0.73 [217]P9(a223,f132(f250(f3(a65),f3(a76))))
% 0.17/0.73 [218]P9(a224,f132(f250(f3(a76),f3(a76))))
% 0.17/0.73 [219]P9(a225,f132(f250(f3(a87),f3(a76))))
% 0.17/0.73 [220]P9(a226,f132(f250(f3(a98),f3(a76))))
% 0.17/0.73 [221]P9(a227,f132(f250(f3(a109),f3(a76))))
% 0.17/0.73 [222]P9(a229,f132(f250(f3(a2),f3(a87))))
% 0.17/0.73 [223]P9(a230,f132(f250(f3(a1),f3(a87))))
% 0.17/0.73 [224]P9(a231,f132(f250(f3(a4),f3(a87))))
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% 0.17/0.73 [230]P9(a237,f132(f250(f3(a98),f3(a87))))
% 0.17/0.73 [231]P9(a238,f132(f250(f3(a109),f3(a87))))
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% 0.17/0.73 [241]P9(a249,f132(f250(f3(a109),f3(a98))))
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% 0.17/0.73 [251]P9(a260,f132(f250(f3(a109),f3(a109))))
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% 0.17/0.73 [259]P9(a14,f131(f250(f3(a87),f250(f3(a2),f3(a1)))))
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% 0.17/0.73 [264]P9(a20,f131(f250(f3(a4),f250(f3(a1),f3(a1)))))
% 0.17/0.73 [265]P9(a21,f131(f250(f3(a43),f250(f3(a1),f3(a1)))))
% 0.17/0.73 [266]P9(a22,f131(f250(f3(a54),f250(f3(a1),f3(a1)))))
% 0.17/0.73 [267]P9(a23,f131(f250(f3(a65),f250(f3(a1),f3(a1)))))
% 0.17/0.73 [268]P9(a24,f131(f250(f3(a76),f250(f3(a1),f3(a1)))))
% 0.17/0.73 [269]P9(a25,f131(f250(f3(a87),f250(f3(a1),f3(a1)))))
% 0.17/0.73 [270]P9(a26,f131(f250(f3(a98),f250(f3(a1),f3(a1)))))
% 0.17/0.73 [271]P9(a27,f131(f250(f3(a109),f250(f3(a1),f3(a1)))))
% 0.17/0.73 [272]P9(a29,f131(f250(f3(a2),f250(f3(a4),f3(a1)))))
% 0.17/0.73 [273]P9(a30,f131(f250(f3(a1),f250(f3(a4),f3(a1)))))
% 0.17/0.73 [274]P9(a31,f131(f250(f3(a4),f250(f3(a4),f3(a1)))))
% 0.17/0.73 [275]P9(a32,f131(f250(f3(a43),f250(f3(a4),f3(a1)))))
% 0.17/0.73 [276]P9(a33,f131(f250(f3(a54),f250(f3(a4),f3(a1)))))
% 0.17/0.73 [277]P9(a34,f131(f250(f3(a65),f250(f3(a4),f3(a1)))))
% 0.17/0.73 [278]P9(a35,f131(f250(f3(a76),f250(f3(a4),f3(a1)))))
% 0.17/0.73 [279]P9(a36,f131(f250(f3(a87),f250(f3(a4),f3(a1)))))
% 0.17/0.73 [280]P9(a136,f132(f250(f3(a2),f250(f3(a2),f3(a1)))))
% 0.17/0.73 [281]P9(a137,f132(f250(f3(a1),f250(f3(a2),f3(a1)))))
% 0.17/0.73 [282]P9(a138,f132(f250(f3(a4),f250(f3(a2),f3(a1)))))
% 0.17/0.73 [283]P9(a139,f132(f250(f3(a43),f250(f3(a2),f3(a1)))))
% 0.17/0.73 [284]P9(a140,f132(f250(f3(a54),f250(f3(a2),f3(a1)))))
% 0.17/0.73 [285]P9(a141,f132(f250(f3(a65),f250(f3(a2),f3(a1)))))
% 0.17/0.73 [286]P9(a142,f132(f250(f3(a76),f250(f3(a2),f3(a1)))))
% 0.17/0.73 [287]P9(a143,f132(f250(f3(a87),f250(f3(a2),f3(a1)))))
% 0.17/0.73 [288]P9(a144,f132(f250(f3(a98),f250(f3(a2),f3(a1)))))
% 0.17/0.73 [289]P9(a145,f132(f250(f3(a109),f250(f3(a2),f3(a1)))))
% 0.17/0.73 [290]P9(a147,f132(f250(f3(a2),f250(f3(a1),f3(a1)))))
% 0.17/0.73 [291]P9(a148,f132(f250(f3(a1),f250(f3(a1),f3(a1)))))
% 0.17/0.73 [292]P9(a149,f132(f250(f3(a4),f250(f3(a1),f3(a1)))))
% 0.17/0.73 [293]P9(a150,f132(f250(f3(a43),f250(f3(a1),f3(a1)))))
% 0.17/0.73 [294]P9(a151,f132(f250(f3(a54),f250(f3(a1),f3(a1)))))
% 0.17/0.73 [295]P9(a152,f132(f250(f3(a65),f250(f3(a1),f3(a1)))))
% 0.17/0.73 [296]P9(a153,f132(f250(f3(a76),f250(f3(a1),f3(a1)))))
% 0.17/0.73 [297]P9(a154,f132(f250(f3(a87),f250(f3(a1),f3(a1)))))
% 0.17/0.73 [298]P9(a155,f132(f250(f3(a98),f250(f3(a1),f3(a1)))))
% 0.17/0.73 [299]P9(a156,f132(f250(f3(a109),f250(f3(a1),f3(a1)))))
% 0.17/0.73 [300]P9(a158,f132(f250(f3(a2),f250(f3(a4),f3(a1)))))
% 0.17/0.73 [301]P9(a159,f132(f250(f3(a1),f250(f3(a4),f3(a1)))))
% 0.17/0.73 [302]P9(a160,f132(f250(f3(a4),f250(f3(a4),f3(a1)))))
% 0.17/0.73 [303]P9(a161,f132(f250(f3(a43),f250(f3(a4),f3(a1)))))
% 0.17/0.73 [304]P9(a162,f132(f250(f3(a54),f250(f3(a4),f3(a1)))))
% 0.17/0.73 [305]P9(a163,f132(f250(f3(a65),f250(f3(a4),f3(a1)))))
% 0.17/0.73 [306]P9(a164,f132(f250(f3(a76),f250(f3(a4),f3(a1)))))
% 0.17/0.73 [307]P9(a165,f132(f250(f3(a87),f250(f3(a4),f3(a1)))))
% 0.17/0.73 [308]P9(a166,f132(f250(f3(a98),f250(f3(a4),f3(a1)))))
% 0.17/0.73 [42]P2(x421,a1)
% 0.17/0.73 [43]P2(a120,x431)
% 0.17/0.73 [409]~P10(a45,x4091,a45)
% 0.17/0.73 [412]P7(f3(x4121))+~P1(f3(x4121))
% 0.17/0.73 [410]~E(x4101,x4102)+P5(x4101,x4102)
% 0.17/0.73 [411]~P2(x4112,x4111)+~E(x4111,x4112)
% 0.17/0.73 [414]~P2(x4141,x4142)+P5(x4141,x4142)
% 0.17/0.73 [416]~P2(x4162,x4161)+~P2(x4161,x4162)
% 0.17/0.73 [417]~P7(x4172)+P7(f250(f3(x4171),x4172))
% 0.17/0.73 [427]~P3(x4273,x4271,x4272)+P10(x4271,x4272,x4273)
% 0.17/0.73 [428]~P10(x4282,x4283,x4281)+P3(x4281,x4282,x4283)
% 0.17/0.73 [418]~P7(x4183)+P8(f3(x4181),f250(f3(x4182),x4183))
% 0.17/0.73 [423]~P8(x4232,x4234)+P8(f250(f3(x4231),x4232),f250(f3(x4233),x4234))
% 0.17/0.73 [437]P6(f3(x4371),f250(f3(x4372),x4373),f3(x4374),f250(f3(x4375),x4376))+~P6(f3(x4371),f3(x4374),f250(f3(x4372),x4373),f250(f3(x4375),x4376))
% 0.17/0.73 [413]P2(x4132,x4131)+P2(x4131,x4132)+E(x4131,x4132)
% 0.17/0.73 [415]P2(x4151,x4152)+~P5(x4151,x4152)+E(x4151,x4152)
% 0.17/0.73 [425]P5(x4251,x4252)+~P2(x4251,x4253)+~P10(x4252,a1,x4253)
% 0.17/0.73 [422]P8(f3(x4221),f3(x4222))+~P8(f3(x4223),f3(x4222))+~P8(f3(x4221),f3(x4223))
% 0.17/0.73 [424]P10(x4241,x4242,a2)+~P9(x4241,f131(x4243))+~P9(x4242,f132(x4243))
% 0.17/0.73 [426]~P7(x4262)+~P8(f3(x4261),f3(x4263))+P8(f250(f3(x4261),x4262),f250(f3(x4263),x4262))
% 0.17/0.73 [429]~P10(x4293,x4294,x4291)+E(x4291,x4292)+~P10(x4293,x4294,x4292)
% 0.17/0.73 [430]~P10(x4303,x4301,x4304)+E(x4301,x4302)+~P10(x4303,x4302,x4304)
% 0.17/0.73 [431]~P10(x4311,x4313,x4314)+E(x4311,x4312)+~P10(x4312,x4313,x4314)
% 0.17/0.73 [419]P2(x4191,x4192)+~P9(x4192,f131(x4193))+~P9(x4191,f132(x4194))
% 0.17/0.73 [438]P6(f3(x4381),f3(x4382),f3(x4383),f3(x4384))+~P4(f3(x4385),f3(x4381),f3(x4384),f3(a2))+~P4(f3(x4382),f3(x4383),f3(x4385),f3(a2))
% 0.17/0.73 [420]P2(x4201,x4202)+~P8(x4203,x4204)+~P9(x4202,f132(x4203))+~P9(x4201,f132(x4204))
% 0.17/0.73 [421]P2(x4211,x4212)+~P8(x4213,x4214)+~P9(x4212,f131(x4214))+~P9(x4211,f131(x4213))
% 0.17/0.73 [432]~P10(x4322,x4321,x4323)+P10(x4321,x4322,x4323)+~P9(x4322,f131(x4324))+~P9(x4321,f132(x4325))
% 0.17/0.73 [439]~P4(f3(x4395),f3(x4391),f3(x4394),f3(x4396))+~P4(f3(x4392),f3(x4393),f3(x4395),f3(x4397))+~P4(f3(x4397),f3(x4396),f3(a1),f3(a2))+P6(f3(x4391),f3(x4392),f3(x4393),f250(f3(x4394),f3(a1)))
% 0.17/0.73 [433]P10(x4331,x4332,x4333)+~P6(f3(a2),x4336,x4335,x4334)+~P9(x4333,f131(x4334))+~P9(x4332,f131(x4335))+~P9(x4331,f131(x4336))
% 0.17/0.73 [434]P10(x4341,x4342,x4343)+~P6(f3(a2),x4346,x4345,x4344)+~P9(x4343,f132(x4344))+~P9(x4342,f132(x4345))+~P9(x4341,f132(x4346))
% 0.17/0.73 [435]P10(x4351,x4352,x4353)+~P8(x4354,x4355)+~P6(f3(a2),x4354,x4356,x4355)+~P9(x4352,f132(x4354))+~P9(x4351,f131(x4355))+~P9(x4353,f131(x4356))
% 0.17/0.73 [436]P10(x4361,x4362,x4363)+~P8(x4364,x4365)+~P6(f3(a2),x4364,x4366,x4365)+~P9(x4362,f132(x4365))+~P9(x4361,f131(x4364))+~P9(x4363,f132(x4366))
% 0.17/0.73 [440]~P7(x4406)+~P7(x4404)+~P4(f3(x4408),f3(x4401),f3(x4405),f3(x4409))+~P4(f3(x4402),f3(x4403),f3(x4408),f3(x44010))+~P6(f3(x4407),f3(a2),x4404,x4406)+~P4(f3(x44010),f3(x4409),f3(x4407),f3(a2))+P6(f3(x4401),f3(x4402),f250(f3(x4403),x4404),f250(f3(x4405),x4406))
% 0.17/0.73 [441]~P7(x4417)+~P7(x4415)+~P7(x4413)+~P6(f3(x4418),x4413,x4415,x4417)+~P4(f3(x4419),f3(x4411),f3(x4416),f3(x44110))+~P4(f3(x4412),f3(x4414),f3(x4419),f3(x44111))+~P4(f3(x44111),f3(x44110),f3(x4418),f3(a2))+P6(f3(x4411),f250(f3(x4412),x4413),f250(f3(x4414),x4415),f250(f3(x4416),x4417))
% 0.17/0.73 %EqnAxiom
% 0.17/0.73 [1]E(x11,x11)
% 0.17/0.73 [2]E(x22,x21)+~E(x21,x22)
% 0.17/0.73 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.17/0.73 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.17/0.73 [5]~E(x51,x52)+E(f250(x51,x53),f250(x52,x53))
% 0.17/0.73 [6]~E(x61,x62)+E(f250(x63,x61),f250(x63,x62))
% 0.17/0.73 [7]~E(x71,x72)+E(f132(x71),f132(x72))
% 0.17/0.73 [8]~E(x81,x82)+E(f131(x81),f131(x82))
% 0.17/0.73 [9]~P1(x91)+P1(x92)+~E(x91,x92)
% 0.17/0.73 [10]P4(x102,x103,x104,x105)+~E(x101,x102)+~P4(x101,x103,x104,x105)
% 0.17/0.73 [11]P4(x113,x112,x114,x115)+~E(x111,x112)+~P4(x113,x111,x114,x115)
% 0.17/0.73 [12]P4(x123,x124,x122,x125)+~E(x121,x122)+~P4(x123,x124,x121,x125)
% 0.17/0.73 [13]P4(x133,x134,x135,x132)+~E(x131,x132)+~P4(x133,x134,x135,x131)
% 0.17/0.73 [14]P6(x142,x143,x144,x145)+~E(x141,x142)+~P6(x141,x143,x144,x145)
% 0.17/0.73 [15]P6(x153,x152,x154,x155)+~E(x151,x152)+~P6(x153,x151,x154,x155)
% 0.17/0.73 [16]P6(x163,x164,x162,x165)+~E(x161,x162)+~P6(x163,x164,x161,x165)
% 0.17/0.73 [17]P6(x173,x174,x175,x172)+~E(x171,x172)+~P6(x173,x174,x175,x171)
% 0.17/0.73 [18]~P7(x181)+P7(x182)+~E(x181,x182)
% 0.17/0.73 [19]P10(x192,x193,x194)+~E(x191,x192)+~P10(x191,x193,x194)
% 0.17/0.73 [20]P10(x203,x202,x204)+~E(x201,x202)+~P10(x203,x201,x204)
% 0.17/0.73 [21]P10(x213,x214,x212)+~E(x211,x212)+~P10(x213,x214,x211)
% 0.17/0.73 [22]P2(x222,x223)+~E(x221,x222)+~P2(x221,x223)
% 0.17/0.73 [23]P2(x233,x232)+~E(x231,x232)+~P2(x233,x231)
% 0.17/0.73 [24]P8(x242,x243)+~E(x241,x242)+~P8(x241,x243)
% 0.17/0.73 [25]P8(x253,x252)+~E(x251,x252)+~P8(x253,x251)
% 0.17/0.73 [26]P5(x262,x263)+~E(x261,x262)+~P5(x261,x263)
% 0.17/0.73 [27]P5(x273,x272)+~E(x271,x272)+~P5(x273,x271)
% 0.17/0.73 [28]P9(x282,x283)+~E(x281,x282)+~P9(x281,x283)
% 0.17/0.73 [29]P9(x293,x292)+~E(x291,x292)+~P9(x293,x291)
% 0.17/0.73 [30]P3(x302,x303,x304)+~E(x301,x302)+~P3(x301,x303,x304)
% 0.17/0.73 [31]P3(x313,x312,x314)+~E(x311,x312)+~P3(x313,x311,x314)
% 0.17/0.73 [32]P3(x323,x324,x322)+~E(x321,x322)+~P3(x323,x324,x321)
% 0.17/0.73
% 0.17/0.73 %-------------------------------------------
% 0.17/0.73 cnf(442,plain,
% 0.17/0.73 ($false),
% 0.17/0.73 inference(scs_inference,[],[42,416]),
% 0.17/0.73 ['proof']).
% 0.17/0.73 % SZS output end Proof
% 0.17/0.73 % Total time :0.020000s
%------------------------------------------------------------------------------