%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : NUM344+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 : Mon Jun 24 12:23:56 EDT 2024
% Result : Theorem 0.51s 0.76s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : NUM344+1 : TPTP v8.2.0. Released v3.1.0.
% 0.02/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n032.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Jun 22 20:10:23 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.49/0.56 start to proof:theBenchmark
% 0.51/0.75 %-------------------------------------------
% 0.51/0.75 % File :CSE---1.7
% 0.51/0.75 % Problem :theBenchmark
% 0.51/0.75 % Transform :cnf
% 0.51/0.75 % Format :tptp:raw
% 0.51/0.75 % Command :java -jar mcs_scs.jar %d %s
% 0.51/0.75
% 0.51/0.75 % Result :Theorem 0.070000s
% 0.51/0.75 % Output :CNFRefutation 0.070000s
% 0.51/0.75 %-------------------------------------------
% 0.51/0.76 %------------------------------------------------------------------------------
% 0.51/0.76 % File : NUM344+1 : TPTP v8.2.0. Released v3.1.0.
% 0.51/0.76 % Domain : Number Theory (RDN arithmetic)
% 0.51/0.76 % Problem : x+1 = z => z > x
% 0.51/0.76 % Version : Especial.
% 0.51/0.76 % English :
% 0.51/0.76
% 0.51/0.76 % Refs :
% 0.51/0.76 % Source : [TPTP]
% 0.51/0.76 % Names :
% 0.51/0.76
% 0.51/0.76 % Status : Theorem
% 0.51/0.76 % Rating : 0.44 v8.2.0, 0.42 v8.1.0, 0.47 v7.5.0, 0.50 v7.4.0, 0.33 v7.3.0, 0.34 v7.2.0, 0.31 v7.1.0, 0.30 v7.0.0, 0.37 v6.4.0, 0.35 v6.3.0, 0.38 v6.2.0, 0.44 v6.1.0, 0.47 v6.0.0, 0.43 v5.5.0, 0.48 v5.4.0, 0.43 v5.3.0, 0.48 v5.2.0, 0.30 v5.1.0, 0.33 v5.0.0, 0.46 v4.1.0, 0.48 v4.0.1, 0.52 v4.0.0, 0.50 v3.5.0, 0.63 v3.4.0, 0.58 v3.3.0, 0.57 v3.2.0, 0.64 v3.1.0
% 0.51/0.76 % Syntax : Number of formulae : 402 ( 374 unt; 0 def)
% 0.51/0.76 % Number of atoms : 474 ( 5 equ)
% 0.51/0.76 % Maximal formula atoms : 8 ( 1 avg)
% 0.51/0.76 % Number of connectives : 74 ( 2 ~; 1 |; 44 &)
% 0.51/0.76 % ( 3 <=>; 24 =>; 0 <=; 0 <~>)
% 0.51/0.76 % Maximal formula depth : 19 ( 1 avg)
% 0.51/0.76 % Maximal term depth : 5 ( 2 avg)
% 0.51/0.76 % Number of predicates : 11 ( 10 usr; 0 prp; 1-4 aty)
% 0.51/0.76 % Number of functors : 260 ( 260 usr; 256 con; 0-2 aty)
% 0.51/0.76 % Number of variables : 123 ( 121 !; 2 ?)
% 0.51/0.76 % SPC : FOF_THM_RFO_SEQ
% 0.51/0.76
% 0.51/0.76 % Comments :
% 0.51/0.76 %------------------------------------------------------------------------------
% 0.51/0.76 %----Include axioms for RDN arithmetic
% 0.51/0.76 include('Axioms/NUM005+0.ax').
% 0.51/0.76 include('Axioms/NUM005+1.ax').
% 0.51/0.76 include('Axioms/NUM005+2.ax').
% 0.51/0.76 %------------------------------------------------------------------------------
% 0.51/0.76 %----Making this universal quantifier is too hard
% 0.51/0.76 fof(exist_bigger_plus_one,conjecture,
% 0.51/0.76 ? [X,Y] :
% 0.51/0.76 ( sum(X,n1,Y)
% 0.51/0.76 & less(X,Y) ) ).
% 0.51/0.76
% 0.51/0.76 %------------------------------------------------------------------------------
% 0.51/0.76 %-------------------------------------------
% 0.51/0.76 % Proof found
% 0.51/0.76 % SZS status Theorem for theBenchmark
% 0.51/0.76 % SZS output start Proof
% 0.51/0.76 %ClaNum:439(EqnAxiom:32)
% 0.51/0.76 %VarNum:275(SingletonVarNum:134)
% 0.51/0.76 %MaxLitNum:8
% 0.51/0.76 %MaxfuncDepth:4
% 0.51/0.76 %SharedTerms:966
% 0.51/0.76 %goalClause: 419
% 0.51/0.76 [33]P1(f3(a1))
% 0.51/0.76 [34]P1(f3(a4))
% 0.51/0.76 [35]P1(f3(a43))
% 0.52/0.76 [36]P1(f3(a54))
% 0.52/0.76 [37]P1(f3(a65))
% 0.52/0.76 [38]P1(f3(a76))
% 0.52/0.76 [39]P1(f3(a87))
% 0.52/0.76 [40]P1(f3(a98))
% 0.52/0.76 [41]P1(f3(a109))
% 0.52/0.76 [42]P8(f3(a2),f3(a1))
% 0.52/0.76 [43]P8(f3(a1),f3(a4))
% 0.52/0.76 [44]P8(f3(a4),f3(a43))
% 0.52/0.76 [45]P8(f3(a43),f3(a54))
% 0.52/0.76 [46]P8(f3(a54),f3(a65))
% 0.52/0.76 [47]P8(f3(a65),f3(a76))
% 0.52/0.76 [48]P8(f3(a76),f3(a87))
% 0.52/0.76 [49]P8(f3(a87),f3(a98))
% 0.52/0.76 [50]P8(f3(a98),f3(a109))
% 0.52/0.76 [307]P2(f3(a2),f3(a2),f3(a2),f3(a2))
% 0.52/0.76 [308]P2(f3(a2),f3(a1),f3(a1),f3(a2))
% 0.52/0.76 [309]P2(f3(a2),f3(a4),f3(a4),f3(a2))
% 0.52/0.76 [310]P2(f3(a2),f3(a43),f3(a43),f3(a2))
% 0.52/0.76 [311]P2(f3(a2),f3(a54),f3(a54),f3(a2))
% 0.52/0.76 [312]P2(f3(a2),f3(a65),f3(a65),f3(a2))
% 0.52/0.76 [313]P2(f3(a2),f3(a76),f3(a76),f3(a2))
% 0.52/0.76 [314]P2(f3(a2),f3(a87),f3(a87),f3(a2))
% 0.52/0.76 [315]P2(f3(a2),f3(a98),f3(a98),f3(a2))
% 0.52/0.76 [316]P2(f3(a2),f3(a109),f3(a109),f3(a2))
% 0.52/0.76 [317]P2(f3(a1),f3(a2),f3(a1),f3(a2))
% 0.52/0.76 [318]P2(f3(a1),f3(a1),f3(a4),f3(a2))
% 0.52/0.76 [319]P2(f3(a1),f3(a4),f3(a43),f3(a2))
% 0.52/0.76 [320]P2(f3(a1),f3(a43),f3(a54),f3(a2))
% 0.52/0.76 [321]P2(f3(a1),f3(a54),f3(a65),f3(a2))
% 0.52/0.76 [322]P2(f3(a1),f3(a65),f3(a76),f3(a2))
% 0.52/0.76 [323]P2(f3(a1),f3(a76),f3(a87),f3(a2))
% 0.52/0.76 [324]P2(f3(a1),f3(a87),f3(a98),f3(a2))
% 0.52/0.76 [325]P2(f3(a1),f3(a98),f3(a109),f3(a2))
% 0.52/0.76 [326]P2(f3(a1),f3(a109),f3(a2),f3(a1))
% 0.52/0.76 [327]P2(f3(a4),f3(a2),f3(a4),f3(a2))
% 0.52/0.76 [328]P2(f3(a4),f3(a1),f3(a43),f3(a2))
% 0.52/0.76 [329]P2(f3(a4),f3(a4),f3(a54),f3(a2))
% 0.52/0.76 [330]P2(f3(a4),f3(a43),f3(a65),f3(a2))
% 0.52/0.76 [331]P2(f3(a4),f3(a54),f3(a76),f3(a2))
% 0.52/0.76 [332]P2(f3(a4),f3(a65),f3(a87),f3(a2))
% 0.52/0.76 [333]P2(f3(a4),f3(a76),f3(a98),f3(a2))
% 0.52/0.76 [334]P2(f3(a4),f3(a87),f3(a109),f3(a2))
% 0.52/0.76 [335]P2(f3(a4),f3(a98),f3(a2),f3(a1))
% 0.52/0.76 [336]P2(f3(a4),f3(a109),f3(a1),f3(a1))
% 0.52/0.76 [337]P2(f3(a43),f3(a2),f3(a43),f3(a2))
% 0.52/0.76 [338]P2(f3(a43),f3(a1),f3(a54),f3(a2))
% 0.52/0.76 [339]P2(f3(a43),f3(a4),f3(a65),f3(a2))
% 0.52/0.76 [340]P2(f3(a43),f3(a43),f3(a76),f3(a2))
% 0.52/0.76 [341]P2(f3(a43),f3(a54),f3(a87),f3(a2))
% 0.52/0.76 [342]P2(f3(a43),f3(a65),f3(a98),f3(a2))
% 0.52/0.76 [343]P2(f3(a43),f3(a76),f3(a109),f3(a2))
% 0.52/0.76 [344]P2(f3(a43),f3(a87),f3(a2),f3(a1))
% 0.52/0.76 [345]P2(f3(a43),f3(a98),f3(a1),f3(a1))
% 0.52/0.76 [346]P2(f3(a43),f3(a109),f3(a4),f3(a1))
% 0.52/0.76 [347]P2(f3(a54),f3(a2),f3(a54),f3(a2))
% 0.52/0.76 [348]P2(f3(a54),f3(a1),f3(a65),f3(a2))
% 0.52/0.76 [349]P2(f3(a54),f3(a4),f3(a76),f3(a2))
% 0.52/0.76 [350]P2(f3(a54),f3(a43),f3(a87),f3(a2))
% 0.52/0.76 [351]P2(f3(a54),f3(a54),f3(a98),f3(a2))
% 0.52/0.76 [352]P2(f3(a54),f3(a65),f3(a109),f3(a2))
% 0.52/0.76 [353]P2(f3(a54),f3(a76),f3(a2),f3(a1))
% 0.52/0.76 [354]P2(f3(a54),f3(a87),f3(a1),f3(a1))
% 0.52/0.76 [355]P2(f3(a54),f3(a98),f3(a4),f3(a1))
% 0.52/0.76 [356]P2(f3(a54),f3(a109),f3(a43),f3(a1))
% 0.52/0.76 [357]P2(f3(a65),f3(a2),f3(a65),f3(a2))
% 0.52/0.76 [358]P2(f3(a65),f3(a1),f3(a76),f3(a2))
% 0.52/0.76 [359]P2(f3(a65),f3(a4),f3(a87),f3(a2))
% 0.52/0.76 [360]P2(f3(a65),f3(a43),f3(a98),f3(a2))
% 0.52/0.76 [361]P2(f3(a65),f3(a54),f3(a109),f3(a2))
% 0.52/0.76 [362]P2(f3(a65),f3(a65),f3(a2),f3(a1))
% 0.52/0.76 [363]P2(f3(a65),f3(a76),f3(a1),f3(a1))
% 0.52/0.76 [364]P2(f3(a65),f3(a87),f3(a4),f3(a1))
% 0.52/0.76 [365]P2(f3(a65),f3(a98),f3(a43),f3(a1))
% 0.52/0.76 [366]P2(f3(a65),f3(a109),f3(a54),f3(a1))
% 0.52/0.76 [367]P2(f3(a76),f3(a2),f3(a76),f3(a2))
% 0.52/0.76 [368]P2(f3(a76),f3(a1),f3(a87),f3(a2))
% 0.52/0.76 [369]P2(f3(a76),f3(a4),f3(a98),f3(a2))
% 0.52/0.76 [370]P2(f3(a76),f3(a43),f3(a109),f3(a2))
% 0.52/0.76 [371]P2(f3(a76),f3(a54),f3(a2),f3(a1))
% 0.52/0.76 [372]P2(f3(a76),f3(a65),f3(a1),f3(a1))
% 0.52/0.76 [373]P2(f3(a76),f3(a76),f3(a4),f3(a1))
% 0.52/0.76 [374]P2(f3(a76),f3(a87),f3(a43),f3(a1))
% 0.52/0.76 [375]P2(f3(a76),f3(a98),f3(a54),f3(a1))
% 0.52/0.76 [376]P2(f3(a76),f3(a109),f3(a65),f3(a1))
% 0.52/0.76 [377]P2(f3(a87),f3(a2),f3(a87),f3(a2))
% 0.52/0.76 [378]P2(f3(a87),f3(a1),f3(a98),f3(a2))
% 0.52/0.76 [379]P2(f3(a87),f3(a4),f3(a109),f3(a2))
% 0.52/0.76 [380]P2(f3(a87),f3(a43),f3(a2),f3(a1))
% 0.52/0.76 [381]P2(f3(a87),f3(a54),f3(a1),f3(a1))
% 0.52/0.76 [382]P2(f3(a87),f3(a65),f3(a4),f3(a1))
% 0.52/0.76 [383]P2(f3(a87),f3(a76),f3(a43),f3(a1))
% 0.52/0.76 [384]P2(f3(a87),f3(a87),f3(a54),f3(a1))
% 0.52/0.76 [385]P2(f3(a87),f3(a98),f3(a65),f3(a1))
% 0.52/0.76 [386]P2(f3(a87),f3(a109),f3(a76),f3(a1))
% 0.52/0.76 [387]P2(f3(a98),f3(a2),f3(a98),f3(a2))
% 0.52/0.76 [388]P2(f3(a98),f3(a1),f3(a109),f3(a2))
% 0.52/0.76 [389]P2(f3(a98),f3(a4),f3(a2),f3(a1))
% 0.52/0.77 [390]P2(f3(a98),f3(a43),f3(a1),f3(a1))
% 0.52/0.77 [391]P2(f3(a98),f3(a54),f3(a4),f3(a1))
% 0.52/0.77 [392]P2(f3(a98),f3(a65),f3(a43),f3(a1))
% 0.52/0.77 [393]P2(f3(a98),f3(a76),f3(a54),f3(a1))
% 0.52/0.77 [394]P2(f3(a98),f3(a87),f3(a65),f3(a1))
% 0.52/0.77 [395]P2(f3(a98),f3(a98),f3(a76),f3(a1))
% 0.52/0.77 [396]P2(f3(a98),f3(a109),f3(a87),f3(a1))
% 0.52/0.77 [397]P2(f3(a109),f3(a2),f3(a109),f3(a2))
% 0.52/0.77 [398]P2(f3(a109),f3(a1),f3(a2),f3(a1))
% 0.52/0.77 [399]P2(f3(a109),f3(a4),f3(a1),f3(a1))
% 0.52/0.77 [400]P2(f3(a109),f3(a43),f3(a4),f3(a1))
% 0.52/0.77 [401]P2(f3(a109),f3(a54),f3(a43),f3(a1))
% 0.52/0.77 [402]P2(f3(a109),f3(a65),f3(a54),f3(a1))
% 0.52/0.77 [403]P2(f3(a109),f3(a76),f3(a65),f3(a1))
% 0.52/0.77 [404]P2(f3(a109),f3(a87),f3(a76),f3(a1))
% 0.52/0.77 [405]P2(f3(a109),f3(a98),f3(a87),f3(a1))
% 0.52/0.77 [406]P2(f3(a109),f3(a109),f3(a98),f3(a1))
% 0.52/0.77 [51]P9(a2,f120(f3(a2)))
% 0.52/0.77 [52]P9(a1,f120(f3(a1)))
% 0.52/0.77 [53]P9(a4,f120(f3(a4)))
% 0.52/0.77 [54]P9(a43,f120(f3(a43)))
% 0.52/0.77 [55]P9(a54,f120(f3(a54)))
% 0.52/0.77 [56]P9(a65,f120(f3(a65)))
% 0.52/0.77 [57]P9(a76,f120(f3(a76)))
% 0.52/0.77 [58]P9(a87,f120(f3(a87)))
% 0.52/0.77 [59]P9(a98,f120(f3(a98)))
% 0.52/0.77 [60]P9(a109,f120(f3(a109)))
% 0.52/0.77 [61]P9(a121,f132(f3(a1)))
% 0.52/0.77 [62]P9(a133,f132(f3(a4)))
% 0.52/0.77 [63]P9(a173,f132(f3(a43)))
% 0.52/0.77 [64]P9(a184,f132(f3(a54)))
% 0.52/0.77 [65]P9(a195,f132(f3(a65)))
% 0.52/0.77 [66]P9(a206,f132(f3(a76)))
% 0.52/0.77 [67]P9(a217,f132(f3(a87)))
% 0.52/0.77 [68]P9(a228,f132(f3(a98)))
% 0.52/0.77 [69]P9(a239,f132(f3(a109)))
% 0.52/0.77 [70]P9(a5,f120(f250(f3(a2),f3(a1))))
% 0.52/0.77 [71]P9(a6,f120(f250(f3(a1),f3(a1))))
% 0.52/0.77 [72]P9(a17,f120(f250(f3(a4),f3(a1))))
% 0.52/0.77 [73]P9(a28,f120(f250(f3(a43),f3(a1))))
% 0.52/0.77 [74]P9(a37,f120(f250(f3(a54),f3(a1))))
% 0.52/0.77 [75]P9(a38,f120(f250(f3(a65),f3(a1))))
% 0.52/0.77 [76]P9(a39,f120(f250(f3(a76),f3(a1))))
% 0.52/0.77 [77]P9(a40,f120(f250(f3(a87),f3(a1))))
% 0.52/0.77 [78]P9(a41,f120(f250(f3(a98),f3(a1))))
% 0.52/0.77 [79]P9(a42,f120(f250(f3(a109),f3(a1))))
% 0.52/0.77 [80]P9(a44,f120(f250(f3(a2),f3(a4))))
% 0.52/0.77 [81]P9(a45,f120(f250(f3(a1),f3(a4))))
% 0.52/0.77 [82]P9(a46,f120(f250(f3(a4),f3(a4))))
% 0.52/0.77 [83]P9(a47,f120(f250(f3(a43),f3(a4))))
% 0.52/0.77 [84]P9(a48,f120(f250(f3(a54),f3(a4))))
% 0.52/0.77 [85]P9(a49,f120(f250(f3(a65),f3(a4))))
% 0.52/0.77 [86]P9(a50,f120(f250(f3(a76),f3(a4))))
% 0.52/0.77 [87]P9(a51,f120(f250(f3(a87),f3(a4))))
% 0.52/0.77 [88]P9(a52,f120(f250(f3(a98),f3(a4))))
% 0.52/0.77 [89]P9(a53,f120(f250(f3(a109),f3(a4))))
% 0.52/0.77 [90]P9(a55,f120(f250(f3(a2),f3(a43))))
% 0.52/0.77 [91]P9(a56,f120(f250(f3(a1),f3(a43))))
% 0.52/0.77 [92]P9(a57,f120(f250(f3(a4),f3(a43))))
% 0.52/0.77 [93]P9(a58,f120(f250(f3(a43),f3(a43))))
% 0.52/0.77 [94]P9(a59,f120(f250(f3(a54),f3(a43))))
% 0.52/0.77 [95]P9(a60,f120(f250(f3(a65),f3(a43))))
% 0.52/0.77 [96]P9(a61,f120(f250(f3(a76),f3(a43))))
% 0.52/0.77 [97]P9(a62,f120(f250(f3(a87),f3(a43))))
% 0.52/0.77 [98]P9(a63,f120(f250(f3(a98),f3(a43))))
% 0.52/0.77 [99]P9(a64,f120(f250(f3(a109),f3(a43))))
% 0.52/0.77 [100]P9(a66,f120(f250(f3(a2),f3(a54))))
% 0.52/0.77 [101]P9(a67,f120(f250(f3(a1),f3(a54))))
% 0.52/0.77 [102]P9(a68,f120(f250(f3(a4),f3(a54))))
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% 0.52/0.78 [304]P9(a164,f132(f250(f3(a76),f250(f3(a4),f3(a1)))))
% 0.52/0.78 [305]P9(a165,f132(f250(f3(a87),f250(f3(a4),f3(a1)))))
% 0.52/0.78 [306]P9(a166,f132(f250(f3(a98),f250(f3(a4),f3(a1)))))
% 0.52/0.78 [409]P7(f3(x4091))+~P1(f3(x4091))
% 0.52/0.78 [407]~E(x4071,x4072)+P3(x4071,x4072)
% 0.52/0.78 [408]~P4(x4082,x4081)+~E(x4081,x4082)
% 0.52/0.78 [411]~P4(x4111,x4112)+P3(x4111,x4112)
% 0.52/0.78 [413]~P4(x4132,x4131)+~P4(x4131,x4132)
% 0.52/0.78 [419]~P4(x4191,x4192)+~P10(x4191,a1,x4192)
% 0.52/0.78 [414]~P7(x4142)+P7(f250(f3(x4141),x4142))
% 0.52/0.78 [425]~P5(x4253,x4251,x4252)+P10(x4251,x4252,x4253)
% 0.52/0.78 [426]~P10(x4262,x4263,x4261)+P5(x4261,x4262,x4263)
% 0.52/0.78 [415]~P7(x4153)+P8(f3(x4151),f250(f3(x4152),x4153))
% 0.52/0.78 [421]~P8(x4212,x4214)+P8(f250(f3(x4211),x4212),f250(f3(x4213),x4214))
% 0.52/0.78 [435]P6(f3(x4351),f250(f3(x4352),x4353),f3(x4354),f250(f3(x4355),x4356))+~P6(f3(x4351),f3(x4354),f250(f3(x4352),x4353),f250(f3(x4355),x4356))
% 0.52/0.78 [410]P4(x4102,x4101)+P4(x4101,x4102)+E(x4101,x4102)
% 0.52/0.78 [412]P4(x4121,x4122)+~P3(x4121,x4122)+E(x4121,x4122)
% 0.52/0.78 [423]P3(x4231,x4232)+~P4(x4231,x4233)+~P10(x4232,a1,x4233)
% 0.52/0.78 [420]P8(f3(x4201),f3(x4202))+~P8(f3(x4203),f3(x4202))+~P8(f3(x4201),f3(x4203))
% 0.52/0.78 [422]P10(x4221,x4222,a2)+~P9(x4221,f120(x4223))+~P9(x4222,f132(x4223))
% 0.52/0.78 [424]~P7(x4242)+~P8(f3(x4241),f3(x4243))+P8(f250(f3(x4241),x4242),f250(f3(x4243),x4242))
% 0.52/0.78 [427]~P10(x4273,x4274,x4271)+E(x4271,x4272)+~P10(x4273,x4274,x4272)
% 0.52/0.78 [428]~P10(x4283,x4281,x4284)+E(x4281,x4282)+~P10(x4283,x4282,x4284)
% 0.52/0.78 [429]~P10(x4291,x4293,x4294)+E(x4291,x4292)+~P10(x4292,x4293,x4294)
% 0.52/0.78 [416]P4(x4161,x4162)+~P9(x4162,f120(x4163))+~P9(x4161,f132(x4164))
% 0.52/0.78 [436]P6(f3(x4361),f3(x4362),f3(x4363),f3(x4364))+~P2(f3(x4365),f3(x4361),f3(x4364),f3(a2))+~P2(f3(x4362),f3(x4363),f3(x4365),f3(a2))
% 0.52/0.78 [417]P4(x4171,x4172)+~P8(x4173,x4174)+~P9(x4172,f132(x4173))+~P9(x4171,f132(x4174))
% 0.52/0.78 [418]P4(x4181,x4182)+~P8(x4183,x4184)+~P9(x4182,f120(x4184))+~P9(x4181,f120(x4183))
% 0.52/0.78 [430]~P10(x4302,x4301,x4303)+P10(x4301,x4302,x4303)+~P9(x4302,f120(x4304))+~P9(x4301,f132(x4305))
% 0.52/0.78 [437]~P2(f3(x4375),f3(x4371),f3(x4374),f3(x4376))+~P2(f3(x4372),f3(x4373),f3(x4375),f3(x4377))+~P2(f3(x4377),f3(x4376),f3(a1),f3(a2))+P6(f3(x4371),f3(x4372),f3(x4373),f250(f3(x4374),f3(a1)))
% 0.52/0.78 [431]P10(x4311,x4312,x4313)+~P6(f3(a2),x4316,x4315,x4314)+~P9(x4313,f120(x4314))+~P9(x4312,f120(x4315))+~P9(x4311,f120(x4316))
% 0.52/0.78 [432]P10(x4321,x4322,x4323)+~P6(f3(a2),x4326,x4325,x4324)+~P9(x4323,f132(x4324))+~P9(x4322,f132(x4325))+~P9(x4321,f132(x4326))
% 0.52/0.78 [433]P10(x4331,x4332,x4333)+~P8(x4334,x4335)+~P6(f3(a2),x4334,x4336,x4335)+~P9(x4332,f132(x4334))+~P9(x4331,f120(x4335))+~P9(x4333,f120(x4336))
% 0.52/0.78 [434]P10(x4341,x4342,x4343)+~P8(x4344,x4345)+~P6(f3(a2),x4344,x4346,x4345)+~P9(x4342,f132(x4345))+~P9(x4341,f120(x4344))+~P9(x4343,f132(x4346))
% 0.52/0.78 [438]~P7(x4386)+~P7(x4384)+~P2(f3(x4388),f3(x4381),f3(x4385),f3(x4389))+~P2(f3(x4382),f3(x4383),f3(x4388),f3(x43810))+~P6(f3(x4387),f3(a2),x4384,x4386)+~P2(f3(x43810),f3(x4389),f3(x4387),f3(a2))+P6(f3(x4381),f3(x4382),f250(f3(x4383),x4384),f250(f3(x4385),x4386))
% 0.52/0.78 [439]~P7(x4397)+~P7(x4395)+~P7(x4393)+~P6(f3(x4398),x4393,x4395,x4397)+~P2(f3(x4399),f3(x4391),f3(x4396),f3(x43910))+~P2(f3(x4392),f3(x4394),f3(x4399),f3(x43911))+~P2(f3(x43911),f3(x43910),f3(x4398),f3(a2))+P6(f3(x4391),f250(f3(x4392),x4393),f250(f3(x4394),x4395),f250(f3(x4396),x4397))
% 0.52/0.78 %EqnAxiom
% 0.52/0.78 [1]E(x11,x11)
% 0.52/0.78 [2]E(x22,x21)+~E(x21,x22)
% 0.52/0.78 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.52/0.78 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.52/0.78 [5]~E(x51,x52)+E(f250(x51,x53),f250(x52,x53))
% 0.52/0.78 [6]~E(x61,x62)+E(f250(x63,x61),f250(x63,x62))
% 0.52/0.78 [7]~E(x71,x72)+E(f132(x71),f132(x72))
% 0.52/0.78 [8]~E(x81,x82)+E(f120(x81),f120(x82))
% 0.52/0.78 [9]~P1(x91)+P1(x92)+~E(x91,x92)
% 0.52/0.78 [10]P2(x102,x103,x104,x105)+~E(x101,x102)+~P2(x101,x103,x104,x105)
% 0.52/0.78 [11]P2(x113,x112,x114,x115)+~E(x111,x112)+~P2(x113,x111,x114,x115)
% 0.52/0.78 [12]P2(x123,x124,x122,x125)+~E(x121,x122)+~P2(x123,x124,x121,x125)
% 0.52/0.78 [13]P2(x133,x134,x135,x132)+~E(x131,x132)+~P2(x133,x134,x135,x131)
% 0.52/0.78 [14]P6(x142,x143,x144,x145)+~E(x141,x142)+~P6(x141,x143,x144,x145)
% 0.52/0.78 [15]P6(x153,x152,x154,x155)+~E(x151,x152)+~P6(x153,x151,x154,x155)
% 0.52/0.78 [16]P6(x163,x164,x162,x165)+~E(x161,x162)+~P6(x163,x164,x161,x165)
% 0.52/0.78 [17]P6(x173,x174,x175,x172)+~E(x171,x172)+~P6(x173,x174,x175,x171)
% 0.52/0.78 [18]~P7(x181)+P7(x182)+~E(x181,x182)
% 0.52/0.78 [19]P3(x192,x193)+~E(x191,x192)+~P3(x191,x193)
% 0.52/0.78 [20]P3(x203,x202)+~E(x201,x202)+~P3(x203,x201)
% 0.52/0.78 [21]P8(x212,x213)+~E(x211,x212)+~P8(x211,x213)
% 0.52/0.78 [22]P8(x223,x222)+~E(x221,x222)+~P8(x223,x221)
% 0.52/0.78 [23]P4(x232,x233)+~E(x231,x232)+~P4(x231,x233)
% 0.52/0.78 [24]P4(x243,x242)+~E(x241,x242)+~P4(x243,x241)
% 0.52/0.78 [25]P9(x252,x253)+~E(x251,x252)+~P9(x251,x253)
% 0.52/0.78 [26]P9(x263,x262)+~E(x261,x262)+~P9(x263,x261)
% 0.52/0.78 [27]P5(x272,x273,x274)+~E(x271,x272)+~P5(x271,x273,x274)
% 0.52/0.78 [28]P5(x283,x282,x284)+~E(x281,x282)+~P5(x283,x281,x284)
% 0.52/0.78 [29]P5(x293,x294,x292)+~E(x291,x292)+~P5(x293,x294,x291)
% 0.52/0.78 [30]P10(x302,x303,x304)+~E(x301,x302)+~P10(x301,x303,x304)
% 0.52/0.78 [31]P10(x313,x312,x314)+~E(x311,x312)+~P10(x313,x311,x314)
% 0.52/0.78 [32]P10(x323,x324,x322)+~E(x321,x322)+~P10(x323,x324,x321)
% 0.52/0.78
% 0.52/0.78 %-------------------------------------------
% 0.52/0.78 cnf(441,plain,
% 0.52/0.78 (~P4(x4411,x4411)),
% 0.52/0.78 inference(equality_inference,[],[408])).
% 0.52/0.78 cnf(447,plain,
% 0.52/0.78 (~P4(x4471,x4471)),
% 0.52/0.78 inference(rename_variables,[],[441])).
% 0.52/0.78 cnf(449,plain,
% 0.52/0.78 (~P4(x4491,x4491)),
% 0.52/0.78 inference(rename_variables,[],[441])).
% 0.52/0.78 cnf(453,plain,
% 0.52/0.78 (~P4(x4531,x4531)),
% 0.52/0.78 inference(rename_variables,[],[441])).
% 0.52/0.78 cnf(462,plain,
% 0.52/0.78 ($false),
% 0.52/0.78 inference(scs_inference,[],[441,447,449,453,307,51,52,61,416,422,23,24,436,417,418,430,431,419]),
% 0.52/0.78 ['proof']).
% 0.52/0.78 % SZS output end Proof
% 0.52/0.78 % Total time :0.070000s
%------------------------------------------------------------------------------