TSTP Solution File: NUM341+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM341+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n019.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 10:21:31 EDT 2023
% Result : Theorem 0.61s 0.85s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM341+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 16:47:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.61/0.85 %-------------------------------------------
% 0.61/0.85 % File :CSE---1.6
% 0.61/0.85 % Problem :theBenchmark
% 0.61/0.85 % Transform :cnf
% 0.61/0.85 % Format :tptp:raw
% 0.61/0.85 % Command :java -jar mcs_scs.jar %d %s
% 0.61/0.85
% 0.61/0.85 % Result :Theorem 0.140000s
% 0.61/0.85 % Output :CNFRefutation 0.140000s
% 0.61/0.85 %-------------------------------------------
% 0.61/0.85 %------------------------------------------------------------------------------
% 0.61/0.85 % File : NUM341+1 : TPTP v8.1.2. Released v3.1.0.
% 0.61/0.85 % Domain : Number Theory (RDN arithmetic)
% 0.61/0.85 % Problem : x + y = z <=> z - y = x & z - x = y
% 0.61/0.85 % Version : Especial.
% 0.61/0.85 % English :
% 0.61/0.85
% 0.61/0.85 % Refs :
% 0.61/0.85 % Source : [TPTP]
% 0.61/0.85 % Names :
% 0.61/0.85
% 0.61/0.85 % Status : Theorem
% 0.61/0.85 % Rating : 0.19 v7.5.0, 0.22 v7.4.0, 0.20 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.22 v7.0.0, 0.17 v6.4.0, 0.15 v6.3.0, 0.21 v6.2.0, 0.20 v6.0.0, 0.26 v5.4.0, 0.25 v5.3.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.29 v5.0.0, 0.33 v4.1.0, 0.30 v4.0.0, 0.29 v3.7.0, 0.30 v3.5.0, 0.32 v3.4.0, 0.26 v3.3.0, 0.29 v3.2.0, 0.36 v3.1.0
% 0.61/0.85 % Syntax : Number of formulae : 402 ( 374 unt; 0 def)
% 0.61/0.85 % Number of atoms : 475 ( 5 equ)
% 0.61/0.85 % Maximal formula atoms : 8 ( 1 avg)
% 0.61/0.85 % Number of connectives : 75 ( 2 ~; 1 |; 44 &)
% 0.61/0.85 % ( 4 <=>; 24 =>; 0 <=; 0 <~>)
% 0.61/0.85 % Maximal formula depth : 19 ( 1 avg)
% 0.61/0.85 % Maximal term depth : 5 ( 2 avg)
% 0.61/0.85 % Number of predicates : 11 ( 10 usr; 0 prp; 1-4 aty)
% 0.61/0.85 % Number of functors : 260 ( 260 usr; 256 con; 0-2 aty)
% 0.61/0.85 % Number of variables : 124 ( 121 !; 3 ?)
% 0.61/0.85 % SPC : FOF_THM_RFO_SEQ
% 0.61/0.85
% 0.61/0.85 % Comments :
% 0.61/0.85 %------------------------------------------------------------------------------
% 0.61/0.85 %----Include axioms for RDN arithmetic
% 0.61/0.85 include('Axioms/NUM005+0.ax').
% 0.61/0.85 include('Axioms/NUM005+1.ax').
% 0.61/0.85 include('Axioms/NUM005+2.ax').
% 0.61/0.85 %------------------------------------------------------------------------------
% 0.61/0.85 %----Making this universal quantifier is too hard
% 0.61/0.85 fof(add_same_as_subtract,conjecture,
% 0.61/0.85 ? [X,Y,Z] :
% 0.61/0.85 ( sum(X,Y,Z)
% 0.61/0.85 <=> ( difference(Z,Y,X)
% 0.61/0.85 & difference(Z,X,Y) ) ) ).
% 0.61/0.85
% 0.61/0.85 %------------------------------------------------------------------------------
% 0.61/0.85 %-------------------------------------------
% 0.61/0.85 % Proof found
% 0.61/0.85 % SZS status Theorem for theBenchmark
% 0.61/0.85 % SZS output start Proof
% 0.61/0.85 %ClaNum:441(EqnAxiom:32)
% 0.61/0.85 %VarNum:292(SingletonVarNum:141)
% 0.61/0.85 %MaxLitNum:8
% 0.61/0.86 %MaxfuncDepth:4
% 0.61/0.86 %SharedTerms:966
% 0.61/0.86 %goalClause: 419 420 432
% 0.61/0.86 [33]P1(f3(a1))
% 0.61/0.86 [34]P1(f3(a4))
% 0.61/0.86 [35]P1(f3(a43))
% 0.61/0.86 [36]P1(f3(a54))
% 0.61/0.86 [37]P1(f3(a65))
% 0.61/0.86 [38]P1(f3(a76))
% 0.61/0.86 [39]P1(f3(a87))
% 0.61/0.86 [40]P1(f3(a98))
% 0.61/0.86 [41]P1(f3(a109))
% 0.61/0.86 [42]P8(f3(a2),f3(a1))
% 0.61/0.86 [43]P8(f3(a1),f3(a4))
% 0.61/0.86 [44]P8(f3(a4),f3(a43))
% 0.61/0.86 [45]P8(f3(a43),f3(a54))
% 0.61/0.86 [46]P8(f3(a54),f3(a65))
% 0.61/0.86 [47]P8(f3(a65),f3(a76))
% 0.61/0.86 [48]P8(f3(a76),f3(a87))
% 0.61/0.86 [49]P8(f3(a87),f3(a98))
% 0.61/0.86 [50]P8(f3(a98),f3(a109))
% 0.61/0.86 [307]P2(f3(a2),f3(a2),f3(a2),f3(a2))
% 0.61/0.86 [308]P2(f3(a2),f3(a1),f3(a1),f3(a2))
% 0.61/0.86 [309]P2(f3(a2),f3(a4),f3(a4),f3(a2))
% 0.61/0.86 [310]P2(f3(a2),f3(a43),f3(a43),f3(a2))
% 0.61/0.86 [311]P2(f3(a2),f3(a54),f3(a54),f3(a2))
% 0.61/0.86 [312]P2(f3(a2),f3(a65),f3(a65),f3(a2))
% 0.61/0.86 [313]P2(f3(a2),f3(a76),f3(a76),f3(a2))
% 0.61/0.86 [314]P2(f3(a2),f3(a87),f3(a87),f3(a2))
% 0.61/0.86 [315]P2(f3(a2),f3(a98),f3(a98),f3(a2))
% 0.61/0.86 [316]P2(f3(a2),f3(a109),f3(a109),f3(a2))
% 0.61/0.86 [317]P2(f3(a1),f3(a2),f3(a1),f3(a2))
% 0.61/0.86 [318]P2(f3(a1),f3(a1),f3(a4),f3(a2))
% 0.61/0.86 [319]P2(f3(a1),f3(a4),f3(a43),f3(a2))
% 0.61/0.86 [320]P2(f3(a1),f3(a43),f3(a54),f3(a2))
% 0.61/0.86 [321]P2(f3(a1),f3(a54),f3(a65),f3(a2))
% 0.61/0.86 [322]P2(f3(a1),f3(a65),f3(a76),f3(a2))
% 0.61/0.86 [323]P2(f3(a1),f3(a76),f3(a87),f3(a2))
% 0.61/0.86 [324]P2(f3(a1),f3(a87),f3(a98),f3(a2))
% 0.61/0.86 [325]P2(f3(a1),f3(a98),f3(a109),f3(a2))
% 0.61/0.86 [326]P2(f3(a1),f3(a109),f3(a2),f3(a1))
% 0.61/0.86 [327]P2(f3(a4),f3(a2),f3(a4),f3(a2))
% 0.61/0.86 [328]P2(f3(a4),f3(a1),f3(a43),f3(a2))
% 0.61/0.86 [329]P2(f3(a4),f3(a4),f3(a54),f3(a2))
% 0.61/0.86 [330]P2(f3(a4),f3(a43),f3(a65),f3(a2))
% 0.61/0.86 [331]P2(f3(a4),f3(a54),f3(a76),f3(a2))
% 0.61/0.86 [332]P2(f3(a4),f3(a65),f3(a87),f3(a2))
% 0.61/0.86 [333]P2(f3(a4),f3(a76),f3(a98),f3(a2))
% 0.61/0.86 [334]P2(f3(a4),f3(a87),f3(a109),f3(a2))
% 0.61/0.86 [335]P2(f3(a4),f3(a98),f3(a2),f3(a1))
% 0.61/0.86 [336]P2(f3(a4),f3(a109),f3(a1),f3(a1))
% 0.61/0.86 [337]P2(f3(a43),f3(a2),f3(a43),f3(a2))
% 0.61/0.86 [338]P2(f3(a43),f3(a1),f3(a54),f3(a2))
% 0.61/0.86 [339]P2(f3(a43),f3(a4),f3(a65),f3(a2))
% 0.61/0.86 [340]P2(f3(a43),f3(a43),f3(a76),f3(a2))
% 0.61/0.86 [341]P2(f3(a43),f3(a54),f3(a87),f3(a2))
% 0.61/0.86 [342]P2(f3(a43),f3(a65),f3(a98),f3(a2))
% 0.61/0.86 [343]P2(f3(a43),f3(a76),f3(a109),f3(a2))
% 0.61/0.86 [344]P2(f3(a43),f3(a87),f3(a2),f3(a1))
% 0.61/0.86 [345]P2(f3(a43),f3(a98),f3(a1),f3(a1))
% 0.61/0.86 [346]P2(f3(a43),f3(a109),f3(a4),f3(a1))
% 0.61/0.86 [347]P2(f3(a54),f3(a2),f3(a54),f3(a2))
% 0.61/0.86 [348]P2(f3(a54),f3(a1),f3(a65),f3(a2))
% 0.61/0.86 [349]P2(f3(a54),f3(a4),f3(a76),f3(a2))
% 0.61/0.86 [350]P2(f3(a54),f3(a43),f3(a87),f3(a2))
% 0.61/0.86 [351]P2(f3(a54),f3(a54),f3(a98),f3(a2))
% 0.61/0.86 [352]P2(f3(a54),f3(a65),f3(a109),f3(a2))
% 0.61/0.86 [353]P2(f3(a54),f3(a76),f3(a2),f3(a1))
% 0.61/0.86 [354]P2(f3(a54),f3(a87),f3(a1),f3(a1))
% 0.61/0.86 [355]P2(f3(a54),f3(a98),f3(a4),f3(a1))
% 0.61/0.86 [356]P2(f3(a54),f3(a109),f3(a43),f3(a1))
% 0.61/0.86 [357]P2(f3(a65),f3(a2),f3(a65),f3(a2))
% 0.61/0.86 [358]P2(f3(a65),f3(a1),f3(a76),f3(a2))
% 0.61/0.86 [359]P2(f3(a65),f3(a4),f3(a87),f3(a2))
% 0.61/0.86 [360]P2(f3(a65),f3(a43),f3(a98),f3(a2))
% 0.61/0.86 [361]P2(f3(a65),f3(a54),f3(a109),f3(a2))
% 0.61/0.86 [362]P2(f3(a65),f3(a65),f3(a2),f3(a1))
% 0.61/0.86 [363]P2(f3(a65),f3(a76),f3(a1),f3(a1))
% 0.61/0.86 [364]P2(f3(a65),f3(a87),f3(a4),f3(a1))
% 0.61/0.86 [365]P2(f3(a65),f3(a98),f3(a43),f3(a1))
% 0.61/0.86 [366]P2(f3(a65),f3(a109),f3(a54),f3(a1))
% 0.61/0.86 [367]P2(f3(a76),f3(a2),f3(a76),f3(a2))
% 0.61/0.86 [368]P2(f3(a76),f3(a1),f3(a87),f3(a2))
% 0.61/0.86 [369]P2(f3(a76),f3(a4),f3(a98),f3(a2))
% 0.61/0.86 [370]P2(f3(a76),f3(a43),f3(a109),f3(a2))
% 0.61/0.86 [371]P2(f3(a76),f3(a54),f3(a2),f3(a1))
% 0.61/0.86 [372]P2(f3(a76),f3(a65),f3(a1),f3(a1))
% 0.61/0.86 [373]P2(f3(a76),f3(a76),f3(a4),f3(a1))
% 0.61/0.86 [374]P2(f3(a76),f3(a87),f3(a43),f3(a1))
% 0.61/0.86 [375]P2(f3(a76),f3(a98),f3(a54),f3(a1))
% 0.61/0.86 [376]P2(f3(a76),f3(a109),f3(a65),f3(a1))
% 0.61/0.86 [377]P2(f3(a87),f3(a2),f3(a87),f3(a2))
% 0.61/0.86 [378]P2(f3(a87),f3(a1),f3(a98),f3(a2))
% 0.61/0.86 [379]P2(f3(a87),f3(a4),f3(a109),f3(a2))
% 0.61/0.86 [380]P2(f3(a87),f3(a43),f3(a2),f3(a1))
% 0.61/0.86 [381]P2(f3(a87),f3(a54),f3(a1),f3(a1))
% 0.61/0.86 [382]P2(f3(a87),f3(a65),f3(a4),f3(a1))
% 0.61/0.86 [383]P2(f3(a87),f3(a76),f3(a43),f3(a1))
% 0.61/0.86 [384]P2(f3(a87),f3(a87),f3(a54),f3(a1))
% 0.61/0.86 [385]P2(f3(a87),f3(a98),f3(a65),f3(a1))
% 0.61/0.86 [386]P2(f3(a87),f3(a109),f3(a76),f3(a1))
% 0.61/0.86 [387]P2(f3(a98),f3(a2),f3(a98),f3(a2))
% 0.61/0.86 [388]P2(f3(a98),f3(a1),f3(a109),f3(a2))
% 0.61/0.86 [389]P2(f3(a98),f3(a4),f3(a2),f3(a1))
% 0.61/0.86 [390]P2(f3(a98),f3(a43),f3(a1),f3(a1))
% 0.61/0.86 [391]P2(f3(a98),f3(a54),f3(a4),f3(a1))
% 0.61/0.86 [392]P2(f3(a98),f3(a65),f3(a43),f3(a1))
% 0.61/0.86 [393]P2(f3(a98),f3(a76),f3(a54),f3(a1))
% 0.61/0.86 [394]P2(f3(a98),f3(a87),f3(a65),f3(a1))
% 0.61/0.86 [395]P2(f3(a98),f3(a98),f3(a76),f3(a1))
% 0.61/0.86 [396]P2(f3(a98),f3(a109),f3(a87),f3(a1))
% 0.61/0.86 [397]P2(f3(a109),f3(a2),f3(a109),f3(a2))
% 0.61/0.86 [398]P2(f3(a109),f3(a1),f3(a2),f3(a1))
% 0.61/0.86 [399]P2(f3(a109),f3(a4),f3(a1),f3(a1))
% 0.61/0.86 [400]P2(f3(a109),f3(a43),f3(a4),f3(a1))
% 0.61/0.86 [401]P2(f3(a109),f3(a54),f3(a43),f3(a1))
% 0.61/0.86 [402]P2(f3(a109),f3(a65),f3(a54),f3(a1))
% 0.61/0.86 [403]P2(f3(a109),f3(a76),f3(a65),f3(a1))
% 0.61/0.86 [404]P2(f3(a109),f3(a87),f3(a76),f3(a1))
% 0.61/0.86 [405]P2(f3(a109),f3(a98),f3(a87),f3(a1))
% 0.61/0.86 [406]P2(f3(a109),f3(a109),f3(a98),f3(a1))
% 0.61/0.86 [51]P9(a2,f120(f3(a2)))
% 0.61/0.86 [52]P9(a1,f120(f3(a1)))
% 0.61/0.86 [53]P9(a4,f120(f3(a4)))
% 0.61/0.86 [54]P9(a43,f120(f3(a43)))
% 0.61/0.86 [55]P9(a54,f120(f3(a54)))
% 0.61/0.86 [56]P9(a65,f120(f3(a65)))
% 0.61/0.86 [57]P9(a76,f120(f3(a76)))
% 0.61/0.86 [58]P9(a87,f120(f3(a87)))
% 0.61/0.86 [59]P9(a98,f120(f3(a98)))
% 0.61/0.86 [60]P9(a109,f120(f3(a109)))
% 0.61/0.86 [61]P9(a121,f132(f3(a1)))
% 0.61/0.86 [62]P9(a133,f132(f3(a4)))
% 0.61/0.86 [63]P9(a173,f132(f3(a43)))
% 0.61/0.86 [64]P9(a184,f132(f3(a54)))
% 0.61/0.86 [65]P9(a195,f132(f3(a65)))
% 0.61/0.86 [66]P9(a206,f132(f3(a76)))
% 0.61/0.86 [67]P9(a217,f132(f3(a87)))
% 0.61/0.86 [68]P9(a228,f132(f3(a98)))
% 0.61/0.86 [69]P9(a239,f132(f3(a109)))
% 0.61/0.86 [70]P9(a5,f120(f250(f3(a2),f3(a1))))
% 0.61/0.86 [71]P9(a6,f120(f250(f3(a1),f3(a1))))
% 0.61/0.86 [72]P9(a17,f120(f250(f3(a4),f3(a1))))
% 0.61/0.86 [73]P9(a28,f120(f250(f3(a43),f3(a1))))
% 0.61/0.86 [74]P9(a37,f120(f250(f3(a54),f3(a1))))
% 0.61/0.86 [75]P9(a38,f120(f250(f3(a65),f3(a1))))
% 0.61/0.86 [76]P9(a39,f120(f250(f3(a76),f3(a1))))
% 0.61/0.86 [77]P9(a40,f120(f250(f3(a87),f3(a1))))
% 0.61/0.86 [78]P9(a41,f120(f250(f3(a98),f3(a1))))
% 0.61/0.86 [79]P9(a42,f120(f250(f3(a109),f3(a1))))
% 0.61/0.86 [80]P9(a44,f120(f250(f3(a2),f3(a4))))
% 0.61/0.86 [81]P9(a45,f120(f250(f3(a1),f3(a4))))
% 0.61/0.86 [82]P9(a46,f120(f250(f3(a4),f3(a4))))
% 0.61/0.86 [83]P9(a47,f120(f250(f3(a43),f3(a4))))
% 0.61/0.86 [84]P9(a48,f120(f250(f3(a54),f3(a4))))
% 0.61/0.86 [85]P9(a49,f120(f250(f3(a65),f3(a4))))
% 0.61/0.86 [86]P9(a50,f120(f250(f3(a76),f3(a4))))
% 0.61/0.86 [87]P9(a51,f120(f250(f3(a87),f3(a4))))
% 0.61/0.86 [88]P9(a52,f120(f250(f3(a98),f3(a4))))
% 0.61/0.86 [89]P9(a53,f120(f250(f3(a109),f3(a4))))
% 0.61/0.86 [90]P9(a55,f120(f250(f3(a2),f3(a43))))
% 0.61/0.86 [91]P9(a56,f120(f250(f3(a1),f3(a43))))
% 0.61/0.86 [92]P9(a57,f120(f250(f3(a4),f3(a43))))
% 0.61/0.86 [93]P9(a58,f120(f250(f3(a43),f3(a43))))
% 0.61/0.86 [94]P9(a59,f120(f250(f3(a54),f3(a43))))
% 0.61/0.86 [95]P9(a60,f120(f250(f3(a65),f3(a43))))
% 0.61/0.86 [96]P9(a61,f120(f250(f3(a76),f3(a43))))
% 0.61/0.86 [97]P9(a62,f120(f250(f3(a87),f3(a43))))
% 0.61/0.86 [98]P9(a63,f120(f250(f3(a98),f3(a43))))
% 0.61/0.86 [99]P9(a64,f120(f250(f3(a109),f3(a43))))
% 0.61/0.86 [100]P9(a66,f120(f250(f3(a2),f3(a54))))
% 0.61/0.86 [101]P9(a67,f120(f250(f3(a1),f3(a54))))
% 0.61/0.86 [102]P9(a68,f120(f250(f3(a4),f3(a54))))
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% 0.61/0.87 [304]P9(a164,f132(f250(f3(a76),f250(f3(a4),f3(a1)))))
% 0.61/0.87 [305]P9(a165,f132(f250(f3(a87),f250(f3(a4),f3(a1)))))
% 0.61/0.87 [306]P9(a166,f132(f250(f3(a98),f250(f3(a4),f3(a1)))))
% 0.61/0.87 [409]P7(f3(x4091))+~P1(f3(x4091))
% 0.61/0.87 [407]~E(x4071,x4072)+P3(x4071,x4072)
% 0.61/0.87 [408]~P4(x4082,x4081)+~E(x4081,x4082)
% 0.61/0.87 [411]~P4(x4111,x4112)+P3(x4111,x4112)
% 0.61/0.87 [413]~P4(x4132,x4131)+~P4(x4131,x4132)
% 0.61/0.87 [414]~P7(x4142)+P7(f250(f3(x4141),x4142))
% 0.61/0.87 [419]P5(x4193,x4192,x4191)+P10(x4191,x4192,x4193)
% 0.61/0.87 [420]P5(x4203,x4201,x4202)+P10(x4201,x4202,x4203)
% 0.61/0.87 [426]~P5(x4263,x4261,x4262)+P10(x4261,x4262,x4263)
% 0.61/0.87 [427]~P10(x4272,x4273,x4271)+P5(x4271,x4272,x4273)
% 0.61/0.87 [415]~P7(x4153)+P8(f3(x4151),f250(f3(x4152),x4153))
% 0.61/0.87 [422]~P8(x4222,x4224)+P8(f250(f3(x4221),x4222),f250(f3(x4223),x4224))
% 0.61/0.87 [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))
% 0.61/0.87 [410]P4(x4102,x4101)+P4(x4101,x4102)+E(x4101,x4102)
% 0.61/0.87 [412]P4(x4121,x4122)+~P3(x4121,x4122)+E(x4121,x4122)
% 0.61/0.87 [424]P3(x4241,x4242)+~P4(x4241,x4243)+~P10(x4242,a1,x4243)
% 0.61/0.87 [432]~P5(x4323,x4322,x4321)+~P5(x4323,x4321,x4322)+~P10(x4321,x4322,x4323)
% 0.61/0.87 [421]P8(f3(x4211),f3(x4212))+~P8(f3(x4213),f3(x4212))+~P8(f3(x4211),f3(x4213))
% 0.61/0.87 [423]P10(x4231,x4232,a2)+~P9(x4231,f120(x4233))+~P9(x4232,f132(x4233))
% 0.61/0.87 [425]~P7(x4252)+~P8(f3(x4251),f3(x4253))+P8(f250(f3(x4251),x4252),f250(f3(x4253),x4252))
% 0.61/0.87 [428]~P10(x4283,x4284,x4281)+E(x4281,x4282)+~P10(x4283,x4284,x4282)
% 0.61/0.87 [429]~P10(x4293,x4291,x4294)+E(x4291,x4292)+~P10(x4293,x4292,x4294)
% 0.61/0.87 [430]~P10(x4301,x4303,x4304)+E(x4301,x4302)+~P10(x4302,x4303,x4304)
% 0.61/0.87 [416]P4(x4161,x4162)+~P9(x4162,f120(x4163))+~P9(x4161,f132(x4164))
% 0.61/0.87 [438]P6(f3(x4381),f3(x4382),f3(x4383),f3(x4384))+~P2(f3(x4385),f3(x4381),f3(x4384),f3(a2))+~P2(f3(x4382),f3(x4383),f3(x4385),f3(a2))
% 0.61/0.87 [417]P4(x4171,x4172)+~P8(x4173,x4174)+~P9(x4172,f132(x4173))+~P9(x4171,f132(x4174))
% 0.61/0.87 [418]P4(x4181,x4182)+~P8(x4183,x4184)+~P9(x4182,f120(x4184))+~P9(x4181,f120(x4183))
% 0.61/0.87 [431]~P10(x4312,x4311,x4313)+P10(x4311,x4312,x4313)+~P9(x4312,f120(x4314))+~P9(x4311,f132(x4315))
% 0.61/0.87 [439]~P2(f3(x4395),f3(x4391),f3(x4394),f3(x4396))+~P2(f3(x4392),f3(x4393),f3(x4395),f3(x4397))+~P2(f3(x4397),f3(x4396),f3(a1),f3(a2))+P6(f3(x4391),f3(x4392),f3(x4393),f250(f3(x4394),f3(a1)))
% 0.61/0.87 [433]P10(x4331,x4332,x4333)+~P6(f3(a2),x4336,x4335,x4334)+~P9(x4333,f120(x4334))+~P9(x4332,f120(x4335))+~P9(x4331,f120(x4336))
% 0.61/0.87 [434]P10(x4341,x4342,x4343)+~P6(f3(a2),x4346,x4345,x4344)+~P9(x4343,f132(x4344))+~P9(x4342,f132(x4345))+~P9(x4341,f132(x4346))
% 0.61/0.87 [435]P10(x4351,x4352,x4353)+~P8(x4354,x4355)+~P6(f3(a2),x4354,x4356,x4355)+~P9(x4352,f132(x4354))+~P9(x4351,f120(x4355))+~P9(x4353,f120(x4356))
% 0.61/0.87 [436]P10(x4361,x4362,x4363)+~P8(x4364,x4365)+~P6(f3(a2),x4364,x4366,x4365)+~P9(x4362,f132(x4365))+~P9(x4361,f120(x4364))+~P9(x4363,f132(x4366))
% 0.61/0.87 [440]~P7(x4406)+~P7(x4404)+~P2(f3(x4408),f3(x4401),f3(x4405),f3(x4409))+~P2(f3(x4402),f3(x4403),f3(x4408),f3(x44010))+~P6(f3(x4407),f3(a2),x4404,x4406)+~P2(f3(x44010),f3(x4409),f3(x4407),f3(a2))+P6(f3(x4401),f3(x4402),f250(f3(x4403),x4404),f250(f3(x4405),x4406))
% 0.61/0.87 [441]~P7(x4417)+~P7(x4415)+~P7(x4413)+~P6(f3(x4418),x4413,x4415,x4417)+~P2(f3(x4419),f3(x4411),f3(x4416),f3(x44110))+~P2(f3(x4412),f3(x4414),f3(x4419),f3(x44111))+~P2(f3(x44111),f3(x44110),f3(x4418),f3(a2))+P6(f3(x4411),f250(f3(x4412),x4413),f250(f3(x4414),x4415),f250(f3(x4416),x4417))
% 0.61/0.87 %EqnAxiom
% 0.61/0.87 [1]E(x11,x11)
% 0.61/0.87 [2]E(x22,x21)+~E(x21,x22)
% 0.61/0.87 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.61/0.87 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.61/0.87 [5]~E(x51,x52)+E(f250(x51,x53),f250(x52,x53))
% 0.61/0.87 [6]~E(x61,x62)+E(f250(x63,x61),f250(x63,x62))
% 0.61/0.87 [7]~E(x71,x72)+E(f132(x71),f132(x72))
% 0.61/0.87 [8]~E(x81,x82)+E(f120(x81),f120(x82))
% 0.61/0.87 [9]~P1(x91)+P1(x92)+~E(x91,x92)
% 0.61/0.87 [10]P2(x102,x103,x104,x105)+~E(x101,x102)+~P2(x101,x103,x104,x105)
% 0.61/0.87 [11]P2(x113,x112,x114,x115)+~E(x111,x112)+~P2(x113,x111,x114,x115)
% 0.61/0.87 [12]P2(x123,x124,x122,x125)+~E(x121,x122)+~P2(x123,x124,x121,x125)
% 0.61/0.87 [13]P2(x133,x134,x135,x132)+~E(x131,x132)+~P2(x133,x134,x135,x131)
% 0.61/0.87 [14]P6(x142,x143,x144,x145)+~E(x141,x142)+~P6(x141,x143,x144,x145)
% 0.61/0.87 [15]P6(x153,x152,x154,x155)+~E(x151,x152)+~P6(x153,x151,x154,x155)
% 0.61/0.87 [16]P6(x163,x164,x162,x165)+~E(x161,x162)+~P6(x163,x164,x161,x165)
% 0.61/0.87 [17]P6(x173,x174,x175,x172)+~E(x171,x172)+~P6(x173,x174,x175,x171)
% 0.61/0.87 [18]~P7(x181)+P7(x182)+~E(x181,x182)
% 0.61/0.87 [19]P3(x192,x193)+~E(x191,x192)+~P3(x191,x193)
% 0.61/0.87 [20]P3(x203,x202)+~E(x201,x202)+~P3(x203,x201)
% 0.61/0.87 [21]P8(x212,x213)+~E(x211,x212)+~P8(x211,x213)
% 0.61/0.87 [22]P8(x223,x222)+~E(x221,x222)+~P8(x223,x221)
% 0.61/0.87 [23]P4(x232,x233)+~E(x231,x232)+~P4(x231,x233)
% 0.61/0.87 [24]P4(x243,x242)+~E(x241,x242)+~P4(x243,x241)
% 0.61/0.87 [25]P9(x252,x253)+~E(x251,x252)+~P9(x251,x253)
% 0.61/0.87 [26]P9(x263,x262)+~E(x261,x262)+~P9(x263,x261)
% 0.61/0.87 [27]P10(x272,x273,x274)+~E(x271,x272)+~P10(x271,x273,x274)
% 0.61/0.87 [28]P10(x283,x282,x284)+~E(x281,x282)+~P10(x283,x281,x284)
% 0.61/0.87 [29]P10(x293,x294,x292)+~E(x291,x292)+~P10(x293,x294,x291)
% 0.61/0.87 [30]P5(x302,x303,x304)+~E(x301,x302)+~P5(x301,x303,x304)
% 0.61/0.87 [31]P5(x313,x312,x314)+~E(x311,x312)+~P5(x313,x311,x314)
% 0.61/0.87 [32]P5(x323,x324,x322)+~E(x321,x322)+~P5(x323,x324,x321)
% 0.61/0.87
% 0.61/0.87 %-------------------------------------------
% 0.61/0.87 cnf(442,plain,
% 0.61/0.87 (P4(a121,a2)),
% 0.61/0.87 inference(scs_inference,[],[51,61,416])).
% 0.61/0.87 cnf(446,plain,
% 0.61/0.87 (P10(a121,a1,a2)),
% 0.61/0.87 inference(scs_inference,[],[51,52,61,307,416,423,438,431])).
% 0.61/0.87 cnf(456,plain,
% 0.61/0.87 (~E(a2,a121)),
% 0.61/0.87 inference(scs_inference,[],[51,52,61,307,416,423,438,431,433,427,413,411,408])).
% 0.61/0.87 cnf(460,plain,
% 0.61/0.87 (P7(f3(a1))),
% 0.61/0.87 inference(scs_inference,[],[33,42,51,52,61,307,416,423,438,431,433,427,413,411,408,422,409])).
% 0.61/0.87 cnf(463,plain,
% 0.61/0.87 (~P5(a2,a121,a1)),
% 0.61/0.87 inference(scs_inference,[],[33,42,51,52,61,307,416,423,438,431,433,427,413,411,408,422,409,24,432])).
% 0.61/0.87 cnf(511,plain,
% 0.61/0.87 ($false),
% 0.61/0.87 inference(scs_inference,[],[44,53,62,442,456,460,446,463,2,414,415,424,423,425,431,427]),
% 0.61/0.87 ['proof']).
% 0.61/0.87 % SZS output end Proof
% 0.61/0.87 % Total time :0.140000s
%------------------------------------------------------------------------------