TSTP Solution File: NUM313+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM313+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 : n002.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 10:21:23 EDT 2023
% Result : Theorem 0.63s 0.91s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM313+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 13:51:02 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.63/0.90 %-------------------------------------------
% 0.63/0.90 % File :CSE---1.6
% 0.63/0.90 % Problem :theBenchmark
% 0.63/0.90 % Transform :cnf
% 0.63/0.90 % Format :tptp:raw
% 0.63/0.90 % Command :java -jar mcs_scs.jar %d %s
% 0.63/0.90
% 0.63/0.90 % Result :Theorem 0.230000s
% 0.63/0.90 % Output :CNFRefutation 0.230000s
% 0.63/0.90 %-------------------------------------------
% 0.63/0.91 %------------------------------------------------------------------------------
% 0.63/0.91 % File : NUM313+1 : TPTP v8.1.2. Released v3.1.0.
% 0.63/0.91 % Domain : Number Theory (RDN arithmetic)
% 0.63/0.91 % Problem : 2 + only 3 = 5
% 0.63/0.91 % Version : Especial.
% 0.63/0.91 % English :
% 0.63/0.91
% 0.63/0.91 % Refs :
% 0.63/0.91 % Source : [TPTP]
% 0.63/0.91 % Names :
% 0.63/0.91
% 0.63/0.91 % Status : Theorem
% 0.63/0.91 % Rating : 0.47 v8.1.0, 0.53 v7.4.0, 0.47 v7.3.0, 0.45 v7.2.0, 0.41 v7.1.0, 0.39 v7.0.0, 0.43 v6.4.0, 0.50 v6.2.0, 0.52 v6.1.0, 0.67 v6.0.0, 0.57 v5.5.0, 0.59 v5.4.0, 0.64 v5.3.0, 0.67 v5.2.0, 0.55 v5.1.0, 0.48 v5.0.0, 0.58 v4.1.0, 0.61 v4.0.1, 0.65 v4.0.0, 0.62 v3.7.0, 0.65 v3.5.0, 0.74 v3.3.0, 0.71 v3.2.0, 0.82 v3.1.0
% 0.63/0.91 % Syntax : Number of formulae : 402 ( 374 unt; 0 def)
% 0.63/0.91 % Number of atoms : 474 ( 6 equ)
% 0.63/0.91 % Maximal formula atoms : 8 ( 1 avg)
% 0.63/0.91 % Number of connectives : 74 ( 2 ~; 1 |; 43 &)
% 0.63/0.91 % ( 3 <=>; 25 =>; 0 <=; 0 <~>)
% 0.63/0.91 % Maximal formula depth : 19 ( 1 avg)
% 0.63/0.91 % Maximal term depth : 5 ( 2 avg)
% 0.63/0.91 % Number of predicates : 11 ( 10 usr; 0 prp; 1-4 aty)
% 0.63/0.91 % Number of functors : 260 ( 260 usr; 256 con; 0-2 aty)
% 0.63/0.91 % Number of variables : 122 ( 122 !; 0 ?)
% 0.63/0.91 % SPC : FOF_THM_RFO_SEQ
% 0.63/0.91
% 0.63/0.91 % Comments :
% 0.63/0.91 %------------------------------------------------------------------------------
% 0.63/0.91 %----Include axioms for RDN arithmetic
% 0.63/0.91 include('Axioms/NUM005+0.ax').
% 0.63/0.91 include('Axioms/NUM005+1.ax').
% 0.63/0.91 include('Axioms/NUM005+2.ax').
% 0.63/0.91 %------------------------------------------------------------------------------
% 0.63/0.91 fof(sumn2_only_n3_n5,conjecture,
% 0.63/0.91 ! [X] :
% 0.63/0.91 ( sum(n2,X,n5)
% 0.63/0.91 => X = n3 ) ).
% 0.63/0.91
% 0.63/0.91 %------------------------------------------------------------------------------
% 0.63/0.91 %-------------------------------------------
% 0.63/0.91 % Proof found
% 0.63/0.91 % SZS status Theorem for theBenchmark
% 0.63/0.91 % SZS output start Proof
% 0.63/0.91 %ClaNum:440(EqnAxiom:32)
% 0.63/0.91 %VarNum:271(SingletonVarNum:132)
% 0.63/0.91 %MaxLitNum:8
% 0.63/0.91 %MaxfuncDepth:4
% 0.63/0.91 %SharedTerms:979
% 0.63/0.91 %goalClause: 70 408
% 0.63/0.91 %singleGoalClaCount:2
% 0.63/0.91 [70]P10(a5,a3,a66)
% 0.63/0.91 [408]~E(a3,a44)
% 0.63/0.91 [33]P1(f4(a1))
% 0.63/0.91 [34]P1(f4(a5))
% 0.63/0.91 [35]P1(f4(a44))
% 0.63/0.91 [36]P1(f4(a55))
% 0.63/0.91 [37]P1(f4(a66))
% 0.63/0.91 [38]P1(f4(a77))
% 0.63/0.91 [39]P1(f4(a88))
% 0.63/0.91 [40]P1(f4(a99))
% 0.63/0.91 [41]P1(f4(a110))
% 0.63/0.91 [42]P8(f4(a2),f4(a1))
% 0.63/0.91 [43]P8(f4(a1),f4(a5))
% 0.63/0.91 [44]P8(f4(a5),f4(a44))
% 0.63/0.91 [45]P8(f4(a44),f4(a55))
% 0.63/0.91 [46]P8(f4(a55),f4(a66))
% 0.63/0.91 [47]P8(f4(a66),f4(a77))
% 0.63/0.91 [48]P8(f4(a77),f4(a88))
% 0.63/0.91 [49]P8(f4(a88),f4(a99))
% 0.63/0.91 [50]P8(f4(a99),f4(a110))
% 0.63/0.91 [308]P2(f4(a2),f4(a2),f4(a2),f4(a2))
% 0.63/0.91 [309]P2(f4(a2),f4(a1),f4(a1),f4(a2))
% 0.63/0.91 [310]P2(f4(a2),f4(a5),f4(a5),f4(a2))
% 0.63/0.91 [311]P2(f4(a2),f4(a44),f4(a44),f4(a2))
% 0.63/0.91 [312]P2(f4(a2),f4(a55),f4(a55),f4(a2))
% 0.63/0.91 [313]P2(f4(a2),f4(a66),f4(a66),f4(a2))
% 0.63/0.91 [314]P2(f4(a2),f4(a77),f4(a77),f4(a2))
% 0.63/0.91 [315]P2(f4(a2),f4(a88),f4(a88),f4(a2))
% 0.63/0.91 [316]P2(f4(a2),f4(a99),f4(a99),f4(a2))
% 0.63/0.91 [317]P2(f4(a2),f4(a110),f4(a110),f4(a2))
% 0.63/0.91 [318]P2(f4(a1),f4(a2),f4(a1),f4(a2))
% 0.63/0.91 [319]P2(f4(a1),f4(a1),f4(a5),f4(a2))
% 0.63/0.91 [320]P2(f4(a1),f4(a5),f4(a44),f4(a2))
% 0.63/0.91 [321]P2(f4(a1),f4(a44),f4(a55),f4(a2))
% 0.63/0.91 [322]P2(f4(a1),f4(a55),f4(a66),f4(a2))
% 0.63/0.91 [323]P2(f4(a1),f4(a66),f4(a77),f4(a2))
% 0.63/0.91 [324]P2(f4(a1),f4(a77),f4(a88),f4(a2))
% 0.63/0.91 [325]P2(f4(a1),f4(a88),f4(a99),f4(a2))
% 0.63/0.91 [326]P2(f4(a1),f4(a99),f4(a110),f4(a2))
% 0.63/0.91 [327]P2(f4(a1),f4(a110),f4(a2),f4(a1))
% 0.63/0.91 [328]P2(f4(a5),f4(a2),f4(a5),f4(a2))
% 0.63/0.91 [329]P2(f4(a5),f4(a1),f4(a44),f4(a2))
% 0.63/0.91 [330]P2(f4(a5),f4(a5),f4(a55),f4(a2))
% 0.63/0.91 [331]P2(f4(a5),f4(a44),f4(a66),f4(a2))
% 0.63/0.91 [332]P2(f4(a5),f4(a55),f4(a77),f4(a2))
% 0.63/0.91 [333]P2(f4(a5),f4(a66),f4(a88),f4(a2))
% 0.63/0.91 [334]P2(f4(a5),f4(a77),f4(a99),f4(a2))
% 0.63/0.91 [335]P2(f4(a5),f4(a88),f4(a110),f4(a2))
% 0.63/0.91 [336]P2(f4(a5),f4(a99),f4(a2),f4(a1))
% 0.63/0.91 [337]P2(f4(a5),f4(a110),f4(a1),f4(a1))
% 0.63/0.91 [338]P2(f4(a44),f4(a2),f4(a44),f4(a2))
% 0.63/0.91 [339]P2(f4(a44),f4(a1),f4(a55),f4(a2))
% 0.63/0.91 [340]P2(f4(a44),f4(a5),f4(a66),f4(a2))
% 0.63/0.91 [341]P2(f4(a44),f4(a44),f4(a77),f4(a2))
% 0.63/0.91 [342]P2(f4(a44),f4(a55),f4(a88),f4(a2))
% 0.63/0.91 [343]P2(f4(a44),f4(a66),f4(a99),f4(a2))
% 0.63/0.91 [344]P2(f4(a44),f4(a77),f4(a110),f4(a2))
% 0.63/0.91 [345]P2(f4(a44),f4(a88),f4(a2),f4(a1))
% 0.63/0.91 [346]P2(f4(a44),f4(a99),f4(a1),f4(a1))
% 0.63/0.91 [347]P2(f4(a44),f4(a110),f4(a5),f4(a1))
% 0.63/0.91 [348]P2(f4(a55),f4(a2),f4(a55),f4(a2))
% 0.63/0.91 [349]P2(f4(a55),f4(a1),f4(a66),f4(a2))
% 0.63/0.91 [350]P2(f4(a55),f4(a5),f4(a77),f4(a2))
% 0.63/0.91 [351]P2(f4(a55),f4(a44),f4(a88),f4(a2))
% 0.63/0.91 [352]P2(f4(a55),f4(a55),f4(a99),f4(a2))
% 0.63/0.91 [353]P2(f4(a55),f4(a66),f4(a110),f4(a2))
% 0.63/0.91 [354]P2(f4(a55),f4(a77),f4(a2),f4(a1))
% 0.63/0.91 [355]P2(f4(a55),f4(a88),f4(a1),f4(a1))
% 0.63/0.91 [356]P2(f4(a55),f4(a99),f4(a5),f4(a1))
% 0.63/0.91 [357]P2(f4(a55),f4(a110),f4(a44),f4(a1))
% 0.63/0.91 [358]P2(f4(a66),f4(a2),f4(a66),f4(a2))
% 0.63/0.91 [359]P2(f4(a66),f4(a1),f4(a77),f4(a2))
% 0.63/0.91 [360]P2(f4(a66),f4(a5),f4(a88),f4(a2))
% 0.63/0.91 [361]P2(f4(a66),f4(a44),f4(a99),f4(a2))
% 0.63/0.91 [362]P2(f4(a66),f4(a55),f4(a110),f4(a2))
% 0.63/0.91 [363]P2(f4(a66),f4(a66),f4(a2),f4(a1))
% 0.63/0.91 [364]P2(f4(a66),f4(a77),f4(a1),f4(a1))
% 0.63/0.91 [365]P2(f4(a66),f4(a88),f4(a5),f4(a1))
% 0.63/0.91 [366]P2(f4(a66),f4(a99),f4(a44),f4(a1))
% 0.63/0.91 [367]P2(f4(a66),f4(a110),f4(a55),f4(a1))
% 0.63/0.91 [368]P2(f4(a77),f4(a2),f4(a77),f4(a2))
% 0.63/0.91 [369]P2(f4(a77),f4(a1),f4(a88),f4(a2))
% 0.63/0.91 [370]P2(f4(a77),f4(a5),f4(a99),f4(a2))
% 0.63/0.91 [371]P2(f4(a77),f4(a44),f4(a110),f4(a2))
% 0.63/0.91 [372]P2(f4(a77),f4(a55),f4(a2),f4(a1))
% 0.63/0.91 [373]P2(f4(a77),f4(a66),f4(a1),f4(a1))
% 0.63/0.91 [374]P2(f4(a77),f4(a77),f4(a5),f4(a1))
% 0.63/0.91 [375]P2(f4(a77),f4(a88),f4(a44),f4(a1))
% 0.63/0.91 [376]P2(f4(a77),f4(a99),f4(a55),f4(a1))
% 0.63/0.91 [377]P2(f4(a77),f4(a110),f4(a66),f4(a1))
% 0.63/0.91 [378]P2(f4(a88),f4(a2),f4(a88),f4(a2))
% 0.63/0.91 [379]P2(f4(a88),f4(a1),f4(a99),f4(a2))
% 0.63/0.91 [380]P2(f4(a88),f4(a5),f4(a110),f4(a2))
% 0.63/0.91 [381]P2(f4(a88),f4(a44),f4(a2),f4(a1))
% 0.63/0.91 [382]P2(f4(a88),f4(a55),f4(a1),f4(a1))
% 0.63/0.91 [383]P2(f4(a88),f4(a66),f4(a5),f4(a1))
% 0.63/0.91 [384]P2(f4(a88),f4(a77),f4(a44),f4(a1))
% 0.63/0.91 [385]P2(f4(a88),f4(a88),f4(a55),f4(a1))
% 0.63/0.91 [386]P2(f4(a88),f4(a99),f4(a66),f4(a1))
% 0.63/0.91 [387]P2(f4(a88),f4(a110),f4(a77),f4(a1))
% 0.63/0.91 [388]P2(f4(a99),f4(a2),f4(a99),f4(a2))
% 0.63/0.91 [389]P2(f4(a99),f4(a1),f4(a110),f4(a2))
% 0.63/0.91 [390]P2(f4(a99),f4(a5),f4(a2),f4(a1))
% 0.63/0.91 [391]P2(f4(a99),f4(a44),f4(a1),f4(a1))
% 0.63/0.91 [392]P2(f4(a99),f4(a55),f4(a5),f4(a1))
% 0.63/0.91 [393]P2(f4(a99),f4(a66),f4(a44),f4(a1))
% 0.63/0.91 [394]P2(f4(a99),f4(a77),f4(a55),f4(a1))
% 0.63/0.91 [395]P2(f4(a99),f4(a88),f4(a66),f4(a1))
% 0.63/0.91 [396]P2(f4(a99),f4(a99),f4(a77),f4(a1))
% 0.63/0.91 [397]P2(f4(a99),f4(a110),f4(a88),f4(a1))
% 0.63/0.91 [398]P2(f4(a110),f4(a2),f4(a110),f4(a2))
% 0.63/0.91 [399]P2(f4(a110),f4(a1),f4(a2),f4(a1))
% 0.63/0.91 [400]P2(f4(a110),f4(a5),f4(a1),f4(a1))
% 0.63/0.91 [401]P2(f4(a110),f4(a44),f4(a5),f4(a1))
% 0.63/0.91 [402]P2(f4(a110),f4(a55),f4(a44),f4(a1))
% 0.63/0.91 [403]P2(f4(a110),f4(a66),f4(a55),f4(a1))
% 0.63/0.91 [404]P2(f4(a110),f4(a77),f4(a66),f4(a1))
% 0.63/0.91 [405]P2(f4(a110),f4(a88),f4(a77),f4(a1))
% 0.63/0.91 [406]P2(f4(a110),f4(a99),f4(a88),f4(a1))
% 0.63/0.91 [407]P2(f4(a110),f4(a110),f4(a99),f4(a1))
% 0.63/0.91 [51]P9(a2,f121(f4(a2)))
% 0.63/0.91 [52]P9(a1,f121(f4(a1)))
% 0.63/0.91 [53]P9(a5,f121(f4(a5)))
% 0.63/0.91 [54]P9(a44,f121(f4(a44)))
% 0.63/0.91 [55]P9(a55,f121(f4(a55)))
% 0.63/0.91 [56]P9(a66,f121(f4(a66)))
% 0.63/0.91 [57]P9(a77,f121(f4(a77)))
% 0.63/0.91 [58]P9(a88,f121(f4(a88)))
% 0.63/0.91 [59]P9(a99,f121(f4(a99)))
% 0.63/0.91 [60]P9(a110,f121(f4(a110)))
% 0.63/0.91 [61]P9(a122,f133(f4(a1)))
% 0.63/0.91 [62]P9(a134,f133(f4(a5)))
% 0.63/0.91 [63]P9(a174,f133(f4(a44)))
% 0.63/0.91 [64]P9(a185,f133(f4(a55)))
% 0.63/0.91 [65]P9(a196,f133(f4(a66)))
% 0.63/0.91 [66]P9(a207,f133(f4(a77)))
% 0.63/0.91 [67]P9(a218,f133(f4(a88)))
% 0.63/0.91 [68]P9(a229,f133(f4(a99)))
% 0.63/0.91 [69]P9(a240,f133(f4(a110)))
% 0.63/0.91 [71]P9(a6,f121(f251(f4(a2),f4(a1))))
% 0.63/0.91 [72]P9(a7,f121(f251(f4(a1),f4(a1))))
% 0.63/0.91 [73]P9(a18,f121(f251(f4(a5),f4(a1))))
% 0.63/0.91 [74]P9(a29,f121(f251(f4(a44),f4(a1))))
% 0.63/0.91 [75]P9(a38,f121(f251(f4(a55),f4(a1))))
% 0.63/0.91 [76]P9(a39,f121(f251(f4(a66),f4(a1))))
% 0.63/0.91 [77]P9(a40,f121(f251(f4(a77),f4(a1))))
% 0.63/0.91 [78]P9(a41,f121(f251(f4(a88),f4(a1))))
% 0.63/0.91 [79]P9(a42,f121(f251(f4(a99),f4(a1))))
% 0.63/0.91 [80]P9(a43,f121(f251(f4(a110),f4(a1))))
% 0.63/0.91 [81]P9(a45,f121(f251(f4(a2),f4(a5))))
% 0.63/0.91 [82]P9(a46,f121(f251(f4(a1),f4(a5))))
% 0.63/0.91 [83]P9(a47,f121(f251(f4(a5),f4(a5))))
% 0.63/0.91 [84]P9(a48,f121(f251(f4(a44),f4(a5))))
% 0.63/0.91 [85]P9(a49,f121(f251(f4(a55),f4(a5))))
% 0.63/0.91 [86]P9(a50,f121(f251(f4(a66),f4(a5))))
% 0.63/0.91 [87]P9(a51,f121(f251(f4(a77),f4(a5))))
% 0.63/0.91 [88]P9(a52,f121(f251(f4(a88),f4(a5))))
% 0.63/0.91 [89]P9(a53,f121(f251(f4(a99),f4(a5))))
% 0.63/0.91 [90]P9(a54,f121(f251(f4(a110),f4(a5))))
% 0.63/0.91 [91]P9(a56,f121(f251(f4(a2),f4(a44))))
% 0.63/0.91 [92]P9(a57,f121(f251(f4(a1),f4(a44))))
% 0.63/0.91 [93]P9(a58,f121(f251(f4(a5),f4(a44))))
% 0.63/0.91 [94]P9(a59,f121(f251(f4(a44),f4(a44))))
% 0.63/0.91 [95]P9(a60,f121(f251(f4(a55),f4(a44))))
% 0.63/0.91 [96]P9(a61,f121(f251(f4(a66),f4(a44))))
% 0.63/0.91 [97]P9(a62,f121(f251(f4(a77),f4(a44))))
% 0.63/0.91 [98]P9(a63,f121(f251(f4(a88),f4(a44))))
% 0.63/0.91 [99]P9(a64,f121(f251(f4(a99),f4(a44))))
% 0.63/0.91 [100]P9(a65,f121(f251(f4(a110),f4(a44))))
% 0.63/0.91 [101]P9(a67,f121(f251(f4(a2),f4(a55))))
% 0.63/0.91 [102]P9(a68,f121(f251(f4(a1),f4(a55))))
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% 0.63/0.92 [305]P9(a165,f133(f251(f4(a77),f251(f4(a5),f4(a1)))))
% 0.63/0.92 [306]P9(a166,f133(f251(f4(a88),f251(f4(a5),f4(a1)))))
% 0.63/0.92 [307]P9(a167,f133(f251(f4(a99),f251(f4(a5),f4(a1)))))
% 0.63/0.92 [411]P7(f4(x4111))+~P1(f4(x4111))
% 0.63/0.92 [409]~E(x4091,x4092)+P3(x4091,x4092)
% 0.63/0.92 [410]~P4(x4102,x4101)+~E(x4101,x4102)
% 0.63/0.92 [413]~P4(x4131,x4132)+P3(x4131,x4132)
% 0.63/0.92 [415]~P4(x4152,x4151)+~P4(x4151,x4152)
% 0.63/0.92 [416]~P7(x4162)+P7(f251(f4(x4161),x4162))
% 0.63/0.92 [426]~P5(x4263,x4261,x4262)+P10(x4261,x4262,x4263)
% 0.63/0.92 [427]~P10(x4272,x4273,x4271)+P5(x4271,x4272,x4273)
% 0.63/0.92 [417]~P7(x4173)+P8(f4(x4171),f251(f4(x4172),x4173))
% 0.63/0.92 [422]~P8(x4222,x4224)+P8(f251(f4(x4221),x4222),f251(f4(x4223),x4224))
% 0.63/0.92 [436]P6(f4(x4361),f251(f4(x4362),x4363),f4(x4364),f251(f4(x4365),x4366))+~P6(f4(x4361),f4(x4364),f251(f4(x4362),x4363),f251(f4(x4365),x4366))
% 0.63/0.92 [412]P4(x4122,x4121)+P4(x4121,x4122)+E(x4121,x4122)
% 0.63/0.92 [414]P4(x4141,x4142)+~P3(x4141,x4142)+E(x4141,x4142)
% 0.63/0.92 [424]P3(x4241,x4242)+~P4(x4241,x4243)+~P10(x4242,a1,x4243)
% 0.63/0.92 [421]P8(f4(x4211),f4(x4212))+~P8(f4(x4213),f4(x4212))+~P8(f4(x4211),f4(x4213))
% 0.63/0.92 [423]P10(x4231,x4232,a2)+~P9(x4231,f121(x4233))+~P9(x4232,f133(x4233))
% 0.63/0.92 [425]~P7(x4252)+~P8(f4(x4251),f4(x4253))+P8(f251(f4(x4251),x4252),f251(f4(x4253),x4252))
% 0.63/0.92 [428]~P10(x4283,x4284,x4281)+E(x4281,x4282)+~P10(x4283,x4284,x4282)
% 0.63/0.92 [429]~P10(x4293,x4291,x4294)+E(x4291,x4292)+~P10(x4293,x4292,x4294)
% 0.63/0.92 [430]~P10(x4301,x4303,x4304)+E(x4301,x4302)+~P10(x4302,x4303,x4304)
% 0.63/0.92 [418]P4(x4181,x4182)+~P9(x4182,f121(x4183))+~P9(x4181,f133(x4184))
% 0.63/0.92 [437]P6(f4(x4371),f4(x4372),f4(x4373),f4(x4374))+~P2(f4(x4375),f4(x4371),f4(x4374),f4(a2))+~P2(f4(x4372),f4(x4373),f4(x4375),f4(a2))
% 0.63/0.92 [419]P4(x4191,x4192)+~P8(x4193,x4194)+~P9(x4192,f133(x4193))+~P9(x4191,f133(x4194))
% 0.63/0.92 [420]P4(x4201,x4202)+~P8(x4203,x4204)+~P9(x4202,f121(x4204))+~P9(x4201,f121(x4203))
% 0.63/0.92 [431]~P10(x4312,x4311,x4313)+P10(x4311,x4312,x4313)+~P9(x4312,f121(x4314))+~P9(x4311,f133(x4315))
% 0.63/0.92 [438]~P2(f4(x4385),f4(x4381),f4(x4384),f4(x4386))+~P2(f4(x4382),f4(x4383),f4(x4385),f4(x4387))+~P2(f4(x4387),f4(x4386),f4(a1),f4(a2))+P6(f4(x4381),f4(x4382),f4(x4383),f251(f4(x4384),f4(a1)))
% 0.63/0.92 [432]P10(x4321,x4322,x4323)+~P6(f4(a2),x4326,x4325,x4324)+~P9(x4323,f121(x4324))+~P9(x4322,f121(x4325))+~P9(x4321,f121(x4326))
% 0.63/0.92 [433]P10(x4331,x4332,x4333)+~P6(f4(a2),x4336,x4335,x4334)+~P9(x4333,f133(x4334))+~P9(x4332,f133(x4335))+~P9(x4331,f133(x4336))
% 0.63/0.92 [434]P10(x4341,x4342,x4343)+~P8(x4344,x4345)+~P6(f4(a2),x4344,x4346,x4345)+~P9(x4342,f133(x4344))+~P9(x4341,f121(x4345))+~P9(x4343,f121(x4346))
% 0.63/0.92 [435]P10(x4351,x4352,x4353)+~P8(x4354,x4355)+~P6(f4(a2),x4354,x4356,x4355)+~P9(x4352,f133(x4355))+~P9(x4351,f121(x4354))+~P9(x4353,f133(x4356))
% 0.63/0.92 [439]~P7(x4396)+~P7(x4394)+~P2(f4(x4398),f4(x4391),f4(x4395),f4(x4399))+~P2(f4(x4392),f4(x4393),f4(x4398),f4(x43910))+~P6(f4(x4397),f4(a2),x4394,x4396)+~P2(f4(x43910),f4(x4399),f4(x4397),f4(a2))+P6(f4(x4391),f4(x4392),f251(f4(x4393),x4394),f251(f4(x4395),x4396))
% 0.63/0.92 [440]~P7(x4407)+~P7(x4405)+~P7(x4403)+~P6(f4(x4408),x4403,x4405,x4407)+~P2(f4(x4409),f4(x4401),f4(x4406),f4(x44010))+~P2(f4(x4402),f4(x4404),f4(x4409),f4(x44011))+~P2(f4(x44011),f4(x44010),f4(x4408),f4(a2))+P6(f4(x4401),f251(f4(x4402),x4403),f251(f4(x4404),x4405),f251(f4(x4406),x4407))
% 0.63/0.92 %EqnAxiom
% 0.63/0.92 [1]E(x11,x11)
% 0.63/0.92 [2]E(x22,x21)+~E(x21,x22)
% 0.63/0.92 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.63/0.92 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 0.63/0.92 [5]~E(x51,x52)+E(f251(x51,x53),f251(x52,x53))
% 0.63/0.92 [6]~E(x61,x62)+E(f251(x63,x61),f251(x63,x62))
% 0.63/0.92 [7]~E(x71,x72)+E(f133(x71),f133(x72))
% 0.63/0.92 [8]~E(x81,x82)+E(f121(x81),f121(x82))
% 0.63/0.92 [9]~P1(x91)+P1(x92)+~E(x91,x92)
% 0.63/0.92 [10]P2(x102,x103,x104,x105)+~E(x101,x102)+~P2(x101,x103,x104,x105)
% 0.63/0.92 [11]P2(x113,x112,x114,x115)+~E(x111,x112)+~P2(x113,x111,x114,x115)
% 0.63/0.92 [12]P2(x123,x124,x122,x125)+~E(x121,x122)+~P2(x123,x124,x121,x125)
% 0.63/0.92 [13]P2(x133,x134,x135,x132)+~E(x131,x132)+~P2(x133,x134,x135,x131)
% 0.63/0.92 [14]P6(x142,x143,x144,x145)+~E(x141,x142)+~P6(x141,x143,x144,x145)
% 0.63/0.92 [15]P6(x153,x152,x154,x155)+~E(x151,x152)+~P6(x153,x151,x154,x155)
% 0.63/0.92 [16]P6(x163,x164,x162,x165)+~E(x161,x162)+~P6(x163,x164,x161,x165)
% 0.63/0.92 [17]P6(x173,x174,x175,x172)+~E(x171,x172)+~P6(x173,x174,x175,x171)
% 0.63/0.92 [18]~P7(x181)+P7(x182)+~E(x181,x182)
% 0.63/0.92 [19]P3(x192,x193)+~E(x191,x192)+~P3(x191,x193)
% 0.63/0.92 [20]P3(x203,x202)+~E(x201,x202)+~P3(x203,x201)
% 0.63/0.92 [21]P8(x212,x213)+~E(x211,x212)+~P8(x211,x213)
% 0.63/0.92 [22]P8(x223,x222)+~E(x221,x222)+~P8(x223,x221)
% 0.63/0.92 [23]P4(x232,x233)+~E(x231,x232)+~P4(x231,x233)
% 0.63/0.92 [24]P4(x243,x242)+~E(x241,x242)+~P4(x243,x241)
% 0.63/0.92 [25]P9(x252,x253)+~E(x251,x252)+~P9(x251,x253)
% 0.63/0.92 [26]P9(x263,x262)+~E(x261,x262)+~P9(x263,x261)
% 0.63/0.92 [27]P10(x272,x273,x274)+~E(x271,x272)+~P10(x271,x273,x274)
% 0.63/0.92 [28]P10(x283,x282,x284)+~E(x281,x282)+~P10(x283,x281,x284)
% 0.63/0.92 [29]P10(x293,x294,x292)+~E(x291,x292)+~P10(x293,x294,x291)
% 0.63/0.92 [30]P5(x302,x303,x304)+~E(x301,x302)+~P5(x301,x303,x304)
% 0.63/0.92 [31]P5(x313,x312,x314)+~E(x311,x312)+~P5(x313,x311,x314)
% 0.63/0.92 [32]P5(x323,x324,x322)+~E(x321,x322)+~P5(x323,x324,x321)
% 0.63/0.92
% 0.63/0.92 %-------------------------------------------
% 0.63/0.92 cnf(442,plain,
% 0.63/0.92 (P10(a1,a122,a2)),
% 0.63/0.92 inference(scs_inference,[],[51,52,61,418,423])).
% 0.63/0.92 cnf(445,plain,
% 0.63/0.92 (P10(a122,a1,a2)),
% 0.63/0.92 inference(scs_inference,[],[51,52,61,308,418,423,437,431])).
% 0.63/0.92 cnf(447,plain,
% 0.63/0.92 (P10(a2,a2,a2)),
% 0.63/0.92 inference(scs_inference,[],[51,52,61,308,418,423,437,431,432])).
% 0.63/0.92 cnf(452,plain,
% 0.63/0.92 (~P4(a2,a122)),
% 0.63/0.92 inference(scs_inference,[],[70,408,51,52,61,308,418,423,437,431,432,2,427,415])).
% 0.63/0.92 cnf(456,plain,
% 0.63/0.92 (~E(a2,a122)),
% 0.63/0.92 inference(scs_inference,[],[70,408,51,52,61,308,418,423,437,431,432,2,427,415,413,410])).
% 0.63/0.92 cnf(460,plain,
% 0.63/0.92 (P7(f4(a1))),
% 0.63/0.92 inference(scs_inference,[],[70,408,33,42,51,52,61,308,418,423,437,431,432,2,427,415,413,410,422,411])).
% 0.63/0.92 cnf(512,plain,
% 0.63/0.92 (~P10(a2,a1,a2)),
% 0.63/0.92 inference(scs_inference,[],[53,63,310,318,328,336,62,452,456,460,445,416,417,418,423,437,431,438,414,430])).
% 0.63/0.92 cnf(518,plain,
% 0.63/0.92 (~P4(a2,a2)),
% 0.63/0.92 inference(scs_inference,[],[70,53,63,310,318,328,336,62,408,452,456,460,442,445,416,417,418,423,437,431,438,414,430,429,428,424])).
% 0.63/0.92 cnf(529,plain,
% 0.63/0.92 (~P6(f4(a2),f4(a5),f4(a44),f4(a66))),
% 0.63/0.92 inference(scs_inference,[],[70,44,45,53,54,56,63,310,318,328,336,62,408,452,456,460,442,445,447,416,417,418,423,437,431,438,414,430,429,428,424,425,421,415,29,28,27,432])).
% 0.63/0.92 cnf(551,plain,
% 0.63/0.92 ($false),
% 0.63/0.92 inference(scs_inference,[],[331,358,51,512,529,518,418,423,437]),
% 0.63/0.92 ['proof']).
% 0.63/0.92 % SZS output end Proof
% 0.63/0.92 % Total time :0.230000s
%------------------------------------------------------------------------------