TSTP Solution File: NUM844+2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : NUM844+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% 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 : Sat Jul 23 06:13:22 EDT 2022

% Result   : Theorem 1.82s 1.99s
% Output   : Refutation 1.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM844+2 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri Jul 22 23:05:37 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.82/1.99  GeoParameters:
% 1.82/1.99  
% 1.82/1.99  tptp_input =     1
% 1.82/1.99  tptp_output =    0
% 1.82/1.99  nonempty =       1
% 1.82/1.99  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.82/1.99  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.82/1.99  
% 1.82/1.99  
% 1.82/1.99  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.82/1.99  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.82/1.99  
% 1.82/1.99  RuleSystem INPUT:
% 1.82/1.99  
% 1.82/1.99  Initial Rules:
% 1.82/1.99  #0: input, references = 5, size of lhs = 8:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V7), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #1: input, references = 5, size of lhs = 11:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), V9 == V5 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #2: input, references = 4, size of lhs = 13:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), P_vmul-{F}(V3,V1,V10), P_vplus-{F}(V10,V3,V11), V11 == V9 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #3: input, references = 4, size of lhs = 15:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), P_vmul-{F}(V3,V1,V10), P_vplus-{F}(V10,V3,V11), P_vsucc-{F}(V1,V12), P_vmul-{F}(V3,V12,V13), V13 == V11 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #4: input, references = 4, size of lhs = 15:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), P_vmul-{F}(V3,V1,V10), P_vplus-{F}(V10,V3,V11), P_vsucc-{F}(V1,V12), P_vmul-{F}(V3,V12,V13), V10 == V8 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #5: input, references = 4, size of lhs = 19:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), P_vmul-{F}(V3,V1,V10), P_vplus-{F}(V10,V3,V11), P_vsucc-{F}(V1,V12), P_vmul-{F}(V3,V12,V13), P_v1-{F}(V14), P_vmul-{F}(V0,V14,V15), P_vsucc-{F}(V15,V16), P_vplus-{F}(V15,V14,V17), V16 == V17 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #6: input, references = 5, size of lhs = 19:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), P_vmul-{F}(V3,V1,V10), P_vplus-{F}(V10,V3,V11), P_vsucc-{F}(V1,V12), P_vmul-{F}(V3,V12,V13), P_v1-{F}(V14), P_vmul-{F}(V0,V14,V15), P_vsucc-{F}(V15,V16), P_vplus-{F}(V15,V14,V17), V3 == V16 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #7: input, references = 4, size of lhs = 20:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), P_vmul-{F}(V3,V1,V10), P_vplus-{F}(V10,V3,V11), P_vsucc-{F}(V1,V12), P_vmul-{F}(V3,V12,V13), P_v1-{F}(V14), P_vmul-{F}(V0,V14,V15), P_vsucc-{F}(V15,V16), P_vplus-{F}(V15,V14,V17), P_vmul-{F}(V3,V14,V18), V18 == V3 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #8: input, references = 5, size of lhs = 21:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), P_vmul-{F}(V3,V1,V10), P_vplus-{F}(V10,V3,V11), P_vsucc-{F}(V1,V12), P_vmul-{F}(V3,V12,V13), P_v1-{F}(V14), P_vmul-{F}(V0,V14,V15), P_vsucc-{F}(V15,V16), P_vplus-{F}(V15,V14,V17), P_vmul-{F}(V3,V14,V18), P_vmul-{F}(V14,V19,V20), V20 == V19 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #9: input, references = 4, size of lhs = 21:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), P_vmul-{F}(V3,V1,V10), P_vplus-{F}(V10,V3,V11), P_vsucc-{F}(V1,V12), P_vmul-{F}(V3,V12,V13), P_v1-{F}(V14), P_vmul-{F}(V0,V14,V15), P_vsucc-{F}(V15,V16), P_vplus-{F}(V15,V14,V17), P_vmul-{F}(V3,V14,V18), P_vmul-{F}(V19,V14,V20), V20 == V19 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #10: input, references = 3, size of lhs = 25:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), P_vmul-{F}(V3,V1,V10), P_vplus-{F}(V10,V3,V11), P_vsucc-{F}(V1,V12), P_vmul-{F}(V3,V12,V13), P_v1-{F}(V14), P_vmul-{F}(V0,V14,V15), P_vsucc-{F}(V15,V16), P_vplus-{F}(V15,V14,V17), P_vmul-{F}(V3,V14,V18), P_vmul-{F}(V19,V14,V20), P_vsucc-{F}(V21,V22), P_vmul-{F}(V19,V22,V23), P_vmul-{F}(V19,V21,V24), P_vplus-{F}(V24,V19,V25), V23 == V25 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #11: input, references = 3, size of lhs = 21:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), P_vmul-{F}(V3,V1,V10), P_vplus-{F}(V10,V3,V11), P_vsucc-{F}(V1,V12), P_vmul-{F}(V3,V12,V13), P_v1-{F}(V14), P_vmul-{F}(V0,V14,V15), P_vsucc-{F}(V15,V16), P_vplus-{F}(V15,V14,V17), P_vmul-{F}(V3,V14,V18), P_vplus-{F}(V20,V14,V21), less-{F}(V19,V21) | leq-{T}(V19,V20)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #12: input, references = 3, size of lhs = 21:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), P_vmul-{F}(V3,V1,V10), P_vplus-{F}(V10,V3,V11), P_vsucc-{F}(V1,V12), P_vmul-{F}(V3,V12,V13), P_v1-{F}(V14), P_vmul-{F}(V0,V14,V15), P_vsucc-{F}(V15,V16), P_vplus-{F}(V15,V14,V17), P_vmul-{F}(V3,V14,V18), P_vplus-{F}(V20,V14,V21), greater-{F}(V19,V20) | geq-{T}(V19,V21)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #13: input, references = 5, size of lhs = 22:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), P_vmul-{F}(V3,V1,V10), P_vplus-{F}(V10,V3,V11), P_vsucc-{F}(V1,V12), P_vmul-{F}(V3,V12,V13), P_v1-{F}(V14), P_vmul-{F}(V0,V14,V15), P_vsucc-{F}(V15,V16), P_vplus-{F}(V15,V14,V17), P_vmul-{F}(V3,V14,V18), P_vplus-{F}(V20,V19,V21), P_vplus-{F}(V19,V20,V22), V21 == V22 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #14: input, references = 3, size of lhs = 24:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), P_vmul-{F}(V3,V1,V10), P_vplus-{F}(V10,V3,V11), P_vsucc-{F}(V1,V12), P_vmul-{F}(V3,V12,V13), P_v1-{F}(V14), P_vmul-{F}(V0,V14,V15), P_vsucc-{F}(V15,V16), P_vplus-{F}(V15,V14,V17), P_vmul-{F}(V3,V14,V18), P_vsucc-{F}(V19,V21), P_vplus-{F}(V21,V20,V22), P_vplus-{F}(V19,V20,V23), P_vsucc-{F}(V23,V24), V22 == V24 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #15: input, references = 3, size of lhs = 22:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), P_vmul-{F}(V3,V1,V10), P_vplus-{F}(V10,V3,V11), P_vsucc-{F}(V1,V12), P_vmul-{F}(V3,V12,V13), P_v1-{F}(V14), P_vmul-{F}(V0,V14,V15), P_vsucc-{F}(V15,V16), P_vplus-{F}(V15,V14,V17), P_vmul-{F}(V3,V14,V18), P_vplus-{F}(V14,V19,V20), P_vsucc-{F}(V19,V21), V20 == V21 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #16: input, references = 4, size of lhs = 24:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), P_vmul-{F}(V3,V1,V10), P_vplus-{F}(V10,V3,V11), P_vsucc-{F}(V1,V12), P_vmul-{F}(V3,V12,V13), P_v1-{F}(V14), P_vmul-{F}(V0,V14,V15), P_vsucc-{F}(V15,V16), P_vplus-{F}(V15,V14,V17), P_vmul-{F}(V3,V14,V18), P_vplus-{F}(V19,V20,V22), P_vplus-{F}(V22,V21,V23), P_vplus-{F}(V20,V21,V24), P_vplus-{F}(V19,V24,V25), V23 == V25 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #17: input, references = 3, size of lhs = 22:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), P_vmul-{F}(V3,V1,V10), P_vplus-{F}(V10,V3,V11), P_vsucc-{F}(V1,V12), P_vmul-{F}(V3,V12,V13), P_v1-{F}(V14), P_vmul-{F}(V0,V14,V15), P_vsucc-{F}(V15,V16), P_vplus-{F}(V15,V14,V17), P_vmul-{F}(V3,V14,V18), P_vplus-{F}(V19,V14,V20), P_vsucc-{F}(V19,V21), V20 == V21 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #18: input, references = 3, size of lhs = 26:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), P_vmul-{F}(V3,V1,V10), P_vplus-{F}(V10,V3,V11), P_vsucc-{F}(V1,V12), P_vmul-{F}(V3,V12,V13), P_v1-{F}(V14), P_vmul-{F}(V0,V14,V15), P_vsucc-{F}(V15,V16), P_vplus-{F}(V15,V14,V17), P_vmul-{F}(V3,V14,V18), P_vplus-{F}(V19,V14,V20), P_vsucc-{F}(V19,V21), P_vsucc-{F}(V22,V23), P_vplus-{F}(V19,V23,V24), P_vplus-{F}(V19,V22,V25), P_vsucc-{F}(V25,V26), V24 == V26 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #19: input, references = 3, size of lhs = 23:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), P_vmul-{F}(V3,V1,V10), P_vplus-{F}(V10,V3,V11), P_vsucc-{F}(V1,V12), P_vmul-{F}(V3,V12,V13), P_v1-{F}(V14), P_vmul-{F}(V0,V14,V15), P_vsucc-{F}(V15,V16), P_vplus-{F}(V15,V14,V17), P_vmul-{F}(V3,V14,V18), P_vskolem2-{F}(V19,V20), P_vsucc-{F}(V20,V21), V19 == V14, V19 == V21 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #20: input, references = 3, size of lhs = 20:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), P_vmul-{F}(V3,V1,V10), P_vplus-{F}(V10,V3,V11), P_vsucc-{F}(V1,V12), P_vmul-{F}(V3,V12,V13), P_v1-{F}(V14), P_vmul-{F}(V0,V14,V15), P_vsucc-{F}(V15,V16), P_vplus-{F}(V15,V14,V17), P_vmul-{F}(V3,V14,V18), P_vsucc-{F}(V19,V19) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #21: input, references = 3, size of lhs = 22:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V6,V7), P_vplus-{F}(V2,V1,V8), P_vplus-{F}(V8,V3,V9), P_vmul-{F}(V3,V1,V10), P_vplus-{F}(V10,V3,V11), P_vsucc-{F}(V1,V12), P_vmul-{F}(V3,V12,V13), P_v1-{F}(V14), P_vmul-{F}(V0,V14,V15), P_vsucc-{F}(V15,V16), P_vplus-{F}(V15,V14,V17), P_vmul-{F}(V3,V14,V18), P_vsucc-{F}(V19,V22), P_vsucc-{F}(V20,V22), V19 == V20 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #22: input, references = 43, size of lhs = 2:
% 1.82/1.99     #-{F} V0, #-{F} V1 | EXISTS V2: P_vplus-{T}(V0,V1,V2)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #23: input, references = 16, size of lhs = 2:
% 1.82/1.99     #-{F} V0, #-{F} V1 | EXISTS V2: P_vmul-{T}(V0,V1,V2)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #24: input, references = 4, size of lhs = 0:
% 1.82/1.99     FALSE | EXISTS V0: P_vd411-{T}(V0)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #25: input, references = 4, size of lhs = 0:
% 1.82/1.99     FALSE | EXISTS V0: P_vd413-{T}(V0)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #26: input, references = 12, size of lhs = 1:
% 1.82/1.99     #-{F} V0 | EXISTS V1: P_vsucc-{T}(V0,V1)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #27: input, references = 5, size of lhs = 0:
% 1.82/1.99     FALSE | EXISTS V0: P_v1-{T}(V0)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #28: input, references = 3, size of lhs = 1:
% 1.82/1.99     #-{F} V0 | EXISTS V1: P_vskolem2-{T}(V0,V1)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  number of initial rules = 29
% 1.82/1.99  
% 1.82/1.99  Simplifiers:
% 1.82/1.99  #29: unsound, references = 3, size of lhs = 3:
% 1.82/1.99     P_vplus-{F}(V0,V1,V2), P_vplus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #30: unsound, references = 3, size of lhs = 3:
% 1.82/1.99     P_vmul-{F}(V0,V1,V2), P_vmul-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #31: unsound, references = 3, size of lhs = 3:
% 1.82/1.99     P_vd411-{F}(V0), P_vd411-{F}(V1), V0 == V1 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #32: unsound, references = 3, size of lhs = 3:
% 1.82/1.99     P_vd413-{F}(V0), P_vd413-{F}(V1), V0 == V1 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #33: unsound, references = 3, size of lhs = 3:
% 1.82/1.99     P_vsucc-{F}(V0,V1), P_vsucc-{F}(V0,V3), V1 == V3 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #34: unsound, references = 3, size of lhs = 3:
% 1.82/1.99     P_v1-{F}(V0), P_v1-{F}(V1), V0 == V1 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #35: unsound, references = 3, size of lhs = 3:
% 1.82/1.99     P_vskolem2-{F}(V0,V1), P_vskolem2-{F}(V0,V3), V1 == V3 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  number of simplifiers = 7
% 1.82/1.99  
% 1.82/1.99  Learnt:
% 1.82/1.99  #39: exists( #22, #2 ), references = 1, size of lhs = 12:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V5,V6), P_vplus-{F}(V2,V1,V7), P_vplus-{F}(V7,V3,V8), P_vmul-{F}(V3,V1,V9), P_vplus-{F}(V9,V3,V10), V10 == V8 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #40: exists( #22, #3 ), references = 2, size of lhs = 14:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V5,V6), P_vplus-{F}(V2,V1,V7), P_vplus-{F}(V7,V3,V8), P_vmul-{F}(V3,V1,V9), P_vplus-{F}(V9,V3,V10), P_vsucc-{F}(V1,V11), P_vmul-{F}(V3,V11,V12), V12 == V10 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #43: exists( #22, #37 ), references = 1, size of lhs = 9:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vmul-{F}(V3,V1,V1), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V2,V1,V6), P_vplus-{F}(V6,V3,V7) | P_vplus-{T}(V1,V3,V7)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #44: exists( #22, #38 ), references = 1, size of lhs = 11:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vmul-{F}(V3,V1,V1), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V2,V1,V6), P_vplus-{F}(V6,V3,V7), P_vsucc-{F}(V1,V8), P_vmul-{F}(V3,V8,V9) | P_vplus-{T}(V1,V3,V9)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #49: exists( #22, #0 ), references = 3, size of lhs = 6:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V4) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #53: exists( #22, #5 ), references = 3, size of lhs = 18:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V5,V6), P_vplus-{F}(V2,V1,V7), P_vplus-{F}(V7,V3,V8), P_vmul-{F}(V3,V1,V9), P_vplus-{F}(V9,V3,V10), P_vsucc-{F}(V1,V11), P_vmul-{F}(V3,V11,V12), P_v1-{F}(V13), P_vmul-{F}(V0,V13,V14), P_vsucc-{F}(V14,V15), P_vplus-{F}(V14,V13,V16), V15 == V16 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #54: exists( #22, #6 ), references = 3, size of lhs = 18:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V5,V6), P_vplus-{F}(V2,V1,V7), P_vplus-{F}(V7,V3,V8), P_vmul-{F}(V3,V1,V9), P_vplus-{F}(V9,V3,V10), P_vsucc-{F}(V1,V11), P_vmul-{F}(V3,V11,V12), P_v1-{F}(V13), P_vmul-{F}(V0,V13,V14), P_vsucc-{F}(V14,V15), V3 == V15, P_vplus-{F}(V14,V13,V16) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #58: exists( #22, #53 ), references = 3, size of lhs = 17:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V5,V6), P_vplus-{F}(V2,V1,V7), P_vmul-{F}(V3,V1,V8), P_vplus-{F}(V8,V3,V9), P_vsucc-{F}(V1,V10), P_vmul-{F}(V3,V10,V11), P_v1-{F}(V12), P_vmul-{F}(V0,V12,V13), P_vsucc-{F}(V13,V14), P_vplus-{F}(V13,V12,V15), V14 == V15 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #59: exists( #22, #54 ), references = 2, size of lhs = 17:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V5,V6), P_vplus-{F}(V2,V1,V7), P_vmul-{F}(V3,V1,V8), P_vplus-{F}(V8,V3,V9), P_vsucc-{F}(V1,V10), P_vmul-{F}(V3,V10,V11), P_v1-{F}(V12), P_vmul-{F}(V0,V12,V13), P_vsucc-{F}(V13,V14), V3 == V14, P_vplus-{F}(V13,V12,V15) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #62: exists( #22, #57 ), references = 2, size of lhs = 13:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_v1-{F}(V1), P_vsucc-{F}(V0,V2), P_vplus-{F}(V2,V1,V1), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V2,V1,V4), P_vplus-{F}(V4,V2,V5), P_vsucc-{F}(V1,V6), P_vmul-{F}(V2,V6,V7), P_vmul-{F}(V0,V1,V8), P_vsucc-{F}(V8,V9), V2 == V9 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #64: exists( #26, #61 ), references = 1, size of lhs = 11:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_v1-{F}(V1), P_vsucc-{F}(V0,V2), P_vplus-{F}(V2,V1,V1), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V2,V1,V4), P_vplus-{F}(V4,V2,V5), P_vsucc-{F}(V1,V6), P_vmul-{F}(V2,V6,V7), P_vmul-{F}(V0,V1,V8) | P_vsucc-{T}(V8,V2)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #66: exists( #22, #58 ), references = 3, size of lhs = 12:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_v1-{F}(V1), P_vsucc-{F}(V0,V2), P_vplus-{F}(V2,V1,V1), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V2,V1,V4), P_vplus-{F}(V4,V2,V5), P_vsucc-{F}(V1,V6), P_vmul-{F}(V2,V6,V7), P_vmul-{F}(V0,V1,V8), P_vsucc-{F}(V8,V9) | P_vplus-{T}(V8,V1,V9)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #69: exists( #22, #4 ), references = 2, size of lhs = 14:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V5,V6), P_vplus-{F}(V2,V1,V7), P_vplus-{F}(V7,V3,V8), P_vmul-{F}(V3,V1,V9), V9 == V7, P_vplus-{F}(V9,V3,V10), P_vsucc-{F}(V1,V11), P_vmul-{F}(V3,V11,V12) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #70: exists( #22, #7 ), references = 1, size of lhs = 19:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V5,V6), P_vplus-{F}(V2,V1,V7), P_vplus-{F}(V7,V3,V8), P_vmul-{F}(V3,V1,V9), P_vplus-{F}(V9,V3,V10), P_vsucc-{F}(V1,V11), P_vmul-{F}(V3,V11,V12), P_v1-{F}(V13), P_vmul-{F}(V0,V13,V14), P_vsucc-{F}(V14,V15), P_vplus-{F}(V14,V13,V16), P_vmul-{F}(V3,V13,V17), V17 == V3 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #83: mergings( V3 == V7, V7 == V10, V4 == V8, V5 == V9, V8 == V12, V9 == V13; #75 ), references = 1, size of lhs = 11:
% 1.82/1.99     P_v1-{F}(V0), P_vd413-{F}(V0), P_vd411-{F}(V1), P_vmul-{F}(V1,V0,V2), P_vsucc-{F}(V1,V3), V0 == V3, P_vplus-{F}(V3,V0,V0), P_vmul-{F}(V3,V0,V0), P_vplus-{F}(V3,V3,V4), P_vsucc-{F}(V0,V5), P_vmul-{F}(V3,V5,V6) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #91: mergings( V0 == V14, V3 == V7, V7 == V8, V4 == V9, V5 == V10, V9 == V12, V10 == V13; #76 ), references = 1, size of lhs = 11:
% 1.82/1.99     P_vd411-{F}(V0), P_vsucc-{F}(V0,V1), P_vd413-{F}(V2), V2 == V1, P_v1-{F}(V2), P_vplus-{F}(V1,V2,V2), P_vmul-{F}(V1,V2,V2), P_vmul-{F}(V0,V2,V3), P_vplus-{F}(V1,V1,V4), P_vsucc-{F}(V2,V5), P_vmul-{F}(V1,V5,V6) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #98: mergings( V4 == V6, V5 == V7, V6 == V9, V7 == V10; #92 ), references = 1, size of lhs = 10:
% 1.82/1.99     P_v1-{F}(V0), P_vd413-{F}(V0), P_vd411-{F}(V1), P_vsucc-{F}(V1,V2), V0 == V2, P_vplus-{F}(V2,V0,V0), P_vmul-{F}(V2,V0,V0), P_vplus-{F}(V2,V2,V3), P_vsucc-{F}(V0,V4), P_vmul-{F}(V2,V4,V5) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #104: mergings( V1 == V11, V4 == V6, V5 == V7, V6 == V9, V7 == V10; #93 ), references = 1, size of lhs = 10:
% 1.82/1.99     P_vd411-{F}(V0), P_vsucc-{F}(V0,V1), P_vd413-{F}(V2), V2 == V1, P_v1-{F}(V2), P_vplus-{F}(V1,V2,V2), P_vmul-{F}(V1,V2,V2), P_vplus-{F}(V1,V1,V3), P_vsucc-{F}(V2,V4), P_vmul-{F}(V1,V4,V5) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #106: exists( #22, #1 ), references = 7, size of lhs = 9:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V5,V6), P_vplus-{F}(V2,V1,V7), P_vplus-{F}(V7,V3,V8) | P_vplus-{T}(V2,V4,V8)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #112: mergings( V5 == V10, V6 == V8, V3 == V9; #108 ), references = 3, size of lhs = 8:
% 1.82/1.99     P_vd411-{F}(V0), P_vsucc-{F}(V0,V1), P_vd413-{F}(V2), P_vmul-{F}(V0,V2,V3), P_vplus-{F}(V3,V2,V4), P_vplus-{F}(V4,V1,V5), P_vplus-{F}(V1,V2,V6), P_vplus-{F}(V3,V6,V5) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #116: exists( #22, #69 ), references = 3, size of lhs = 13:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V5,V6), P_vplus-{F}(V2,V1,V7), P_vplus-{F}(V7,V3,V8), P_vmul-{F}(V3,V1,V9), V9 == V7, P_vsucc-{F}(V1,V10), P_vmul-{F}(V3,V10,V11) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #118: exists( #22, #114 ), references = 1, size of lhs = 11:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vplus-{F}(V2,V1,V1), P_vsucc-{F}(V0,V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V2,V4,V5), P_vmul-{F}(V3,V1,V6), V6 == V1, P_vsucc-{F}(V1,V7), P_vmul-{F}(V3,V7,V8) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #120: exists( #22, #62 ), references = 1, size of lhs = 12:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_v1-{F}(V1), P_vsucc-{F}(V0,V2), P_vplus-{F}(V2,V1,V1), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V2,V1,V4), P_vsucc-{F}(V1,V5), P_vmul-{F}(V2,V5,V6), P_vmul-{F}(V0,V1,V7), P_vsucc-{F}(V7,V8), V2 == V8 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #122: exists( #26, #119 ), references = 1, size of lhs = 10:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_v1-{F}(V1), P_vsucc-{F}(V0,V2), P_vplus-{F}(V2,V1,V1), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V2,V1,V4), P_vsucc-{F}(V1,V5), P_vmul-{F}(V2,V5,V6), P_vmul-{F}(V0,V1,V7) | P_vsucc-{T}(V7,V2)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #131: mergings( V3 == V10, V1 == V11; #126 ), references = 1, size of lhs = 12:
% 1.82/1.99     P_v1-{F}(V0), P_vd413-{F}(V0), P_vsucc-{F}(V0,V1), P_vd411-{F}(V2), P_vmul-{F}(V2,V0,V3), P_vsucc-{F}(V3,V4), P_vsucc-{F}(V2,V5), P_vplus-{F}(V4,V5,V4), P_vplus-{F}(V5,V0,V0), P_vplus-{F}(V0,V5,V6), P_vmul-{F}(V5,V0,V7), P_vmul-{F}(V5,V1,V8) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #138: mergings( V3 == V10, V1 == V11, V5 == V12, V0 == V14, V6 == V15, V7 == V16; #128 ), references = 1, size of lhs = 13:
% 1.82/1.99     P_v1-{F}(V0), P_vd413-{F}(V0), P_vd411-{F}(V1), P_vmul-{F}(V1,V0,V2), P_vsucc-{F}(V2,V3), P_vsucc-{F}(V1,V4), P_vplus-{F}(V4,V0,V0), P_vplus-{F}(V0,V4,V5), P_vplus-{F}(V3,V4,V6), P_vmul-{F}(V4,V0,V7), V7 == V3, P_vsucc-{F}(V0,V8), P_vmul-{F}(V4,V8,V9) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #149: mergings( V4 == V9, V3 == V8, V8 == V12, V1 == V13, V5 == V10, V6 == V11; #141 ), references = 1, size of lhs = 10:
% 1.82/1.99     P_v1-{F}(V0), P_vd413-{F}(V0), P_vsucc-{F}(V0,V1), P_vd411-{F}(V2), P_vmul-{F}(V2,V0,V3), P_vsucc-{F}(V2,V4), P_vplus-{F}(V4,V4,V4), P_vplus-{F}(V4,V0,V0), P_vmul-{F}(V4,V0,V5), P_vmul-{F}(V4,V1,V6) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #158: mergings( V4 == V9, V9 == V14, V3 == V8, V8 == V12, V5 == V10, V6 == V11, V10 == V15, V11 == V16; #142 ), references = 1, size of lhs = 11:
% 1.82/1.99     P_v1-{F}(V0), P_vd413-{F}(V0), P_vd411-{F}(V1), P_vmul-{F}(V1,V0,V2), P_vsucc-{F}(V1,V3), P_vplus-{F}(V3,V0,V0), P_vplus-{F}(V3,V3,V4), P_vmul-{F}(V3,V0,V5), V5 == V3, P_vsucc-{F}(V0,V6), P_vmul-{F}(V3,V6,V7) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #165: mergings( V4 == V7, V5 == V8, V6 == V9, V3 == V10; #159 ), references = 1, size of lhs = 9:
% 1.82/1.99     P_v1-{F}(V0), P_vd413-{F}(V0), P_vsucc-{F}(V0,V1), P_vd411-{F}(V2), P_vsucc-{F}(V2,V3), P_vplus-{F}(V3,V3,V3), P_vplus-{F}(V3,V0,V0), P_vmul-{F}(V3,V0,V4), P_vmul-{F}(V3,V1,V5) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #172: mergings( V4 == V7, V7 == V11, V5 == V8, V6 == V9, V8 == V12, V9 == V13; #160 ), references = 1, size of lhs = 10:
% 1.82/1.99     P_v1-{F}(V0), P_vd413-{F}(V0), P_vd411-{F}(V1), P_vsucc-{F}(V1,V2), P_vplus-{F}(V2,V0,V0), P_vplus-{F}(V2,V2,V3), P_vmul-{F}(V2,V0,V4), V4 == V2, P_vsucc-{F}(V0,V5), P_vmul-{F}(V2,V5,V6) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #178: mergings( V3 == V4, V6 == V7, V0 == V8; #173 ), references = 1, size of lhs = 8:
% 1.82/1.99     P_v1-{F}(V0), P_vd413-{F}(V0), P_vsucc-{F}(V0,V1), P_vd411-{F}(V2), P_vsucc-{F}(V2,V3), P_vplus-{F}(V3,V3,V3), P_vplus-{F}(V3,V0,V0), P_vmul-{F}(V3,V1,V4) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #182: exists( #22, #59 ), references = 1, size of lhs = 16:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V5,V6), P_vplus-{F}(V2,V1,V7), P_vmul-{F}(V3,V1,V8), P_vsucc-{F}(V1,V9), P_vmul-{F}(V3,V9,V10), P_v1-{F}(V11), P_vmul-{F}(V0,V11,V12), P_vsucc-{F}(V12,V13), V3 == V13, P_vplus-{F}(V12,V11,V14) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #183: exists( #22, #54 ), references = 1, size of lhs = 16:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V5,V6), P_vplus-{F}(V2,V1,V7), P_vmul-{F}(V3,V1,V7), P_vsucc-{F}(V1,V8), P_vmul-{F}(V3,V8,V9), P_v1-{F}(V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V11,V12), V3 == V12, P_vplus-{F}(V11,V10,V13) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #184: exists( #22, #6 ), references = 1, size of lhs = 16:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vplus-{F}(V2,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V3), P_vmul-{F}(V3,V1,V2), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V2,V4,V5), P_vsucc-{F}(V1,V6), P_vmul-{F}(V3,V6,V7), P_v1-{F}(V8), P_vmul-{F}(V0,V8,V9), P_vsucc-{F}(V9,V10), V3 == V10, P_vplus-{F}(V9,V8,V11) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #186: exists( #22, #179 ), references = 1, size of lhs = 13:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_v1-{F}(V1), P_vsucc-{F}(V0,V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V2,V1,V4), P_vmul-{F}(V2,V1,V5), P_vsucc-{F}(V1,V6), P_vmul-{F}(V2,V6,V7), P_vmul-{F}(V0,V1,V8), P_vplus-{F}(V8,V4,V9), P_vsucc-{F}(V8,V10), V2 == V10 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #188: exists( #22, #185 ), references = 3, size of lhs = 12:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_v1-{F}(V1), P_vsucc-{F}(V0,V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V2,V1,V4), P_vmul-{F}(V2,V1,V5), P_vsucc-{F}(V1,V6), P_vmul-{F}(V2,V6,V7), P_vmul-{F}(V0,V1,V8), P_vsucc-{F}(V8,V9), V2 == V9 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #190: exists( #22, #116 ), references = 2, size of lhs = 12:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vplus-{F}(V6,V3,V7), P_vmul-{F}(V3,V1,V8), V8 == V6, P_vsucc-{F}(V1,V9), P_vmul-{F}(V3,V9,V10) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #192: exists( #26, #188 ), references = 1, size of lhs = 10:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_v1-{F}(V1), P_vsucc-{F}(V0,V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V2,V1,V4), P_vmul-{F}(V2,V1,V5), P_vsucc-{F}(V1,V6), P_vmul-{F}(V2,V6,V7), P_vmul-{F}(V0,V1,V8) | P_vsucc-{T}(V8,V2)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #194: exists( #22, #190 ), references = 2, size of lhs = 11:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vmul-{F}(V3,V1,V7), V7 == V6, P_vsucc-{F}(V1,V8), P_vmul-{F}(V3,V8,V9) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #196: exists( #22, #193 ), references = 4, size of lhs = 9:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vmul-{F}(V3,V1,V6), P_vsucc-{F}(V1,V7), P_vmul-{F}(V3,V7,V8) | P_vplus-{T}(V2,V1,V6)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #200: exists( #22, #40 ), references = 2, size of lhs = 13:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vplus-{F}(V6,V3,V7), P_vmul-{F}(V3,V1,V8), P_vplus-{F}(V8,V3,V9), P_vsucc-{F}(V1,V10), P_vmul-{F}(V3,V10,V11), V11 == V9 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #201: exists( #22, #58 ), references = 2, size of lhs = 16:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vmul-{F}(V3,V1,V7), P_vplus-{F}(V7,V3,V8), P_vsucc-{F}(V1,V9), P_vmul-{F}(V3,V9,V10), P_v1-{F}(V11), P_vmul-{F}(V0,V11,V12), P_vsucc-{F}(V12,V13), P_vplus-{F}(V12,V11,V14), V13 == V14 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #202: exists( #22, #53 ), references = 1, size of lhs = 17:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vplus-{F}(V6,V3,V7), P_vmul-{F}(V3,V1,V8), P_vplus-{F}(V8,V3,V9), P_vsucc-{F}(V1,V10), P_vmul-{F}(V3,V10,V11), P_v1-{F}(V12), P_vmul-{F}(V0,V12,V13), P_vsucc-{F}(V13,V14), P_vplus-{F}(V13,V12,V15), V14 == V15 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #206: exists( #22, #198 ), references = 2, size of lhs = 15:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vmul-{F}(V3,V1,V7), P_vsucc-{F}(V1,V8), P_vmul-{F}(V3,V8,V9), P_v1-{F}(V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V11,V12), P_vplus-{F}(V11,V10,V13), V12 == V13 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #207: exists( #22, #199 ), references = 2, size of lhs = 15:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vmul-{F}(V3,V1,V6), P_vsucc-{F}(V1,V7), P_vmul-{F}(V3,V7,V8), P_v1-{F}(V9), P_vmul-{F}(V0,V9,V10), P_vsucc-{F}(V10,V11), P_vplus-{F}(V10,V9,V12), V11 == V12 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #226: mergings( V3 == V9, V4 == V10, V5 == V11, V6 == V12, V9 == V15, V10 == V16, V11 == V17, V12 == V18, V7 == V13, V8 == V14, V13 == V19, V14 == V20; #212 ), references = 1, size of lhs = 10:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_v1-{F}(V1), P_vsucc-{F}(V0,V2), P_vplus-{F}(V1,V2,V3), P_vplus-{F}(V2,V1,V4), P_vmul-{F}(V2,V1,V5), V2 == V5, P_vsucc-{F}(V1,V6), P_vmul-{F}(V2,V6,V7) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #238: mergings( V3 == V9, V4 == V10, V5 == V11, V6 == V12, V9 == V15, V10 == V16, V11 == V17, V7 == V13, V8 == V14, V13 == V18, V14 == V19; #213 ), references = 1, size of lhs = 10:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_v1-{F}(V1), P_vsucc-{F}(V0,V2), P_vmul-{F}(V2,V1,V3), V2 == V3, P_vplus-{F}(V1,V2,V4), P_vplus-{F}(V2,V1,V5), P_vsucc-{F}(V1,V6), P_vmul-{F}(V2,V6,V7) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #248: mergings( V4 == V8, V8 == V12, V5 == V9, V6 == V10, V7 == V11, V10 == V13, V11 == V14; #240 ), references = 1, size of lhs = 9:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_v1-{F}(V1), P_vsucc-{F}(V0,V2), P_vmul-{F}(V2,V1,V3), V2 == V3, P_vplus-{F}(V2,V1,V4), P_vsucc-{F}(V1,V5), P_vmul-{F}(V2,V5,V6) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #257: mergings( V4 == V8, V8 == V12, V5 == V9, V9 == V13, V6 == V10, V7 == V11, V10 == V14, V11 == V15; #239 ), references = 1, size of lhs = 9:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_v1-{F}(V1), P_vsucc-{F}(V0,V2), P_vplus-{F}(V2,V1,V3), P_vmul-{F}(V2,V1,V4), V2 == V4, P_vsucc-{F}(V1,V5), P_vmul-{F}(V2,V5,V6) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #266: mergings( V6 == V8, V8 == V10, V4 == V5, V7 == V9, V5 == V11, V9 == V12; #258 ), references = 1, size of lhs = 7:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_v1-{F}(V1), P_vsucc-{F}(V0,V2), P_vplus-{F}(V2,V1,V3), P_vsucc-{F}(V1,V4), P_vmul-{F}(V2,V4,V5) | P_vmul-{T}(V2,V1,V2)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #273: mergings( V6 == V8, V8 == V10, V4 == V5, V7 == V9, V5 == V11, V9 == V12; #259 ), references = 1, size of lhs = 7:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_v1-{F}(V1), P_vsucc-{F}(V0,V2), P_vplus-{F}(V2,V1,V3), P_vsucc-{F}(V1,V4), P_vmul-{F}(V2,V4,V5) | P_vmul-{T}(V2,V1,V2)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #276: exists( #22, #194 ), references = 2, size of lhs = 10:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V2,V1,V5), P_vmul-{F}(V3,V1,V6), V6 == V5, P_vsucc-{F}(V1,V7), P_vmul-{F}(V3,V7,V8) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #277: exists( #22, #188 ), references = 2, size of lhs = 11:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_v1-{F}(V1), P_vsucc-{F}(V0,V2), P_vplus-{F}(V2,V1,V3), P_vmul-{F}(V2,V1,V4), P_vsucc-{F}(V1,V5), P_vmul-{F}(V2,V5,V6), P_vmul-{F}(V0,V1,V7), P_vsucc-{F}(V7,V8), V2 == V8 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #280: exists( #26, #277 ), references = 1, size of lhs = 9:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_v1-{F}(V1), P_vsucc-{F}(V0,V2), P_vplus-{F}(V2,V1,V3), P_vmul-{F}(V2,V1,V4), P_vsucc-{F}(V1,V5), P_vmul-{F}(V2,V5,V6), P_vmul-{F}(V0,V1,V7) | P_vsucc-{T}(V7,V2)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #284: exists( #22, #8 ), references = 2, size of lhs = 20:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V1,V7), P_vplus-{F}(V7,V3,V8), P_vmul-{F}(V3,V1,V9), P_vplus-{F}(V9,V3,V10), P_vsucc-{F}(V1,V11), P_vmul-{F}(V3,V11,V12), P_v1-{F}(V13), P_vmul-{F}(V0,V13,V14), P_vsucc-{F}(V14,V15), P_vplus-{F}(V14,V13,V16), P_vmul-{F}(V3,V13,V17), P_vmul-{F}(V13,V18,V19), V19 == V18 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #285: exists( #22, #9 ), references = 2, size of lhs = 20:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V1,V7), P_vplus-{F}(V7,V3,V8), P_vmul-{F}(V3,V1,V9), P_vplus-{F}(V9,V3,V10), P_vsucc-{F}(V1,V11), P_vmul-{F}(V3,V11,V12), P_v1-{F}(V13), P_vmul-{F}(V0,V13,V14), P_vsucc-{F}(V14,V15), P_vplus-{F}(V14,V13,V16), P_vmul-{F}(V3,V13,V17), P_vmul-{F}(V18,V13,V19), V19 == V18 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #286: exists( #22, #13 ), references = 2, size of lhs = 21:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V1,V7), P_vplus-{F}(V7,V3,V8), P_vmul-{F}(V3,V1,V9), P_vplus-{F}(V9,V3,V10), P_vsucc-{F}(V1,V11), P_vmul-{F}(V3,V11,V12), P_v1-{F}(V13), P_vmul-{F}(V0,V13,V14), P_vsucc-{F}(V14,V15), P_vplus-{F}(V14,V13,V16), P_vmul-{F}(V3,V13,V17), P_vplus-{F}(V18,V19,V20), P_vplus-{F}(V19,V18,V21), V20 == V21 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #302: mergings( V3 == V9, V4 == V10, V7 == V13, V5 == V11, V1 == V12, V8 == V14; #293 ), references = 1, size of lhs = 19:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vplus-{F}(V6,V3,V7), P_vmul-{F}(V3,V1,V8), P_vplus-{F}(V8,V3,V9), P_vsucc-{F}(V1,V10), P_vmul-{F}(V3,V10,V11), P_v1-{F}(V12), P_vmul-{F}(V0,V12,V13), P_vsucc-{F}(V13,V14), P_vplus-{F}(V13,V12,V15), P_vmul-{F}(V3,V12,V16), P_vmul-{F}(V12,V17,V18), V18 == V17 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #309: mergings( V3 == V9, V4 == V10, V7 == V13, V5 == V11, V1 == V12, V8 == V14; #294 ), references = 2, size of lhs = 19:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vplus-{F}(V6,V3,V7), P_vmul-{F}(V3,V1,V8), P_vplus-{F}(V8,V3,V9), P_vsucc-{F}(V1,V10), P_vmul-{F}(V3,V10,V11), P_v1-{F}(V12), P_vmul-{F}(V0,V12,V13), P_vsucc-{F}(V13,V14), P_vplus-{F}(V13,V12,V15), P_vmul-{F}(V3,V12,V16), P_vmul-{F}(V17,V12,V18), V18 == V17 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #315: mergings( V3 == V9, V4 == V10, V7 == V12, V5 == V11, V8 == V13; #295 ), references = 1, size of lhs = 19:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vplus-{F}(V6,V3,V7), P_vmul-{F}(V3,V1,V8), P_vplus-{F}(V8,V3,V9), P_vsucc-{F}(V1,V10), P_vmul-{F}(V3,V10,V11), P_v1-{F}(V12), P_vmul-{F}(V0,V12,V13), P_vsucc-{F}(V13,V14), P_vplus-{F}(V13,V12,V15), P_vmul-{F}(V3,V12,V16), P_vmul-{F}(V12,V17,V18), V18 == V17 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #331: mergings( V7 == V11, V12 == V13, V8 == V14, V13 == V15, V14 == V19, V3 == V4, V4 == V5, V9 == V16, V10 == V17; #321 ), references = 2, size of lhs = 13:
% 1.82/1.99     P_vd411-{F}(V0), P_vsucc-{F}(V0,V1), P_vd413-{F}(V2), P_v1-{F}(V2), P_vmul-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_vsucc-{F}(V2,V5), P_vmul-{F}(V1,V5,V6), P_vsucc-{F}(V3,V7), P_vmul-{F}(V1,V2,V8), P_vplus-{F}(V8,V1,V9), P_vmul-{F}(V2,V10,V11), V11 == V10 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #342: mergings( V7 == V11, V11 == V13, V12 == V14, V8 == V15, V14 == V16, V15 == V20, V3 == V4, V4 == V5, V9 == V17, V10 == V18; #319 ), references = 2, size of lhs = 13:
% 1.82/1.99     P_vd411-{F}(V0), P_vsucc-{F}(V0,V1), P_vd413-{F}(V2), P_v1-{F}(V2), P_vmul-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_vsucc-{F}(V2,V5), P_vmul-{F}(V1,V5,V6), P_vsucc-{F}(V3,V7), P_vmul-{F}(V1,V2,V8), P_vplus-{F}(V8,V1,V9), P_vmul-{F}(V2,V10,V11), V11 == V10 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #353: mergings( V7 == V11, V11 == V13, V12 == V14, V8 == V15, V14 == V16, V15 == V20, V3 == V4, V4 == V5, V9 == V17, V10 == V18; #320 ), references = 1, size of lhs = 13:
% 1.82/1.99     P_vd411-{F}(V0), P_vsucc-{F}(V0,V1), P_vd413-{F}(V2), P_v1-{F}(V2), P_vmul-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_vsucc-{F}(V2,V5), P_vmul-{F}(V1,V5,V6), P_vsucc-{F}(V3,V7), P_vmul-{F}(V1,V2,V8), P_vplus-{F}(V8,V1,V9), P_vmul-{F}(V10,V2,V11), V11 == V10 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #373: mergings( V8 == V13, V12 == V14, V9 == V15, V14 == V16, V15 == V19, V2 == V5, V5 == V7, V3 == V13, V4 == V19, V7 == V10, V6 == V11, V10 == V17, V11 == V18; #357 ), references = 1, size of lhs = 8:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V0), P_v1-{F}(V0), P_vsucc-{F}(V0,V1), P_vplus-{F}(V1,V0,V2), P_vmul-{F}(V1,V1,V3), P_vmul-{F}(V1,V0,V4), P_vplus-{F}(V4,V1,V5) | P_vmul-{T}(V0,V0,V0)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #388: mergings( V8 == V12, V12 == V14, V13 == V15, V9 == V16, V15 == V17, V16 == V20, V2 == V5, V5 == V7, V3 == V14, V4 == V20, V7 == V10, V6 == V11, V10 == V18, V11 == V19; #358 ), references = 1, size of lhs = 8:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V0), P_v1-{F}(V0), P_vsucc-{F}(V0,V1), P_vplus-{F}(V1,V0,V2), P_vmul-{F}(V1,V1,V3), P_vmul-{F}(V1,V0,V4), P_vplus-{F}(V4,V1,V5) | P_vmul-{T}(V0,V0,V0)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #402: mergings( V9 == V13, V13 == V15, V14 == V16, V10 == V17, V16 == V18, V17 == V21, V3 == V8, V4 == V15, V5 == V21, V6 == V11, V7 == V12, V11 == V19, V12 == V20; #359 ), references = 1, size of lhs = 9:
% 1.82/1.99     P_vd411-{F}(V0), P_vsucc-{F}(V0,V1), P_vd413-{F}(V2), P_v1-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vsucc-{F}(V2,V4), P_vmul-{F}(V1,V4,V5), P_vmul-{F}(V1,V2,V6), P_vplus-{F}(V6,V1,V7) | P_vmul-{T}(V0,V2,V0)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #405: exists( #23, #331 ), references = 1, size of lhs = 12:
% 1.82/1.99     P_vd411-{F}(V0), P_vsucc-{F}(V0,V1), P_vd413-{F}(V2), P_v1-{F}(V2), P_vmul-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_vsucc-{F}(V2,V5), P_vmul-{F}(V1,V5,V6), P_vsucc-{F}(V3,V7), P_vmul-{F}(V1,V2,V8), P_vplus-{F}(V8,V1,V9), #-{F} V10 | P_vmul-{T}(V2,V10,V10)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #406: exists( #23, #342 ), references = 1, size of lhs = 12:
% 1.82/1.99     P_vd411-{F}(V0), P_vsucc-{F}(V0,V1), P_vd413-{F}(V2), P_v1-{F}(V2), P_vmul-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_vsucc-{F}(V2,V5), P_vmul-{F}(V1,V5,V6), P_vsucc-{F}(V3,V7), P_vmul-{F}(V1,V2,V8), P_vplus-{F}(V8,V1,V9), #-{F} V10 | P_vmul-{T}(V2,V10,V10)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #408: exists( #22, #276 ), references = 2, size of lhs = 8:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V3,V1,V4), P_vmul-{F}(V3,V1,V5), P_vsucc-{F}(V1,V6), P_vmul-{F}(V3,V6,V7) | P_vplus-{T}(V2,V1,V5)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #421: mergings( V3 == V9, V4 == V10, V7 == V13, V5 == V11, V1 == V12, V8 == V14; #412 ), references = 2, size of lhs = 20:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vplus-{F}(V6,V3,V7), P_vmul-{F}(V3,V1,V8), P_vplus-{F}(V8,V3,V9), P_vsucc-{F}(V1,V10), P_vmul-{F}(V3,V10,V11), P_v1-{F}(V12), P_vmul-{F}(V0,V12,V13), P_vsucc-{F}(V13,V14), P_vplus-{F}(V13,V12,V15), P_vmul-{F}(V3,V12,V16), P_vplus-{F}(V17,V18,V19), P_vplus-{F}(V18,V17,V20), V19 == V20 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #427: mergings( V3 == V9, V4 == V10, V7 == V12, V5 == V11, V8 == V13; #413 ), references = 2, size of lhs = 20:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vplus-{F}(V6,V3,V7), P_vmul-{F}(V3,V1,V8), P_vplus-{F}(V8,V3,V9), P_vsucc-{F}(V1,V10), P_vmul-{F}(V3,V10,V11), P_v1-{F}(V12), P_vmul-{F}(V0,V12,V13), P_vsucc-{F}(V13,V14), P_vplus-{F}(V13,V12,V15), P_vmul-{F}(V3,V12,V16), P_vplus-{F}(V17,V18,V19), P_vplus-{F}(V18,V17,V20), V19 == V20 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #433: mergings( V3 == V9, V4 == V10, V7 == V12, V5 == V11, V8 == V13; #414 ), references = 1, size of lhs = 22:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vplus-{F}(V6,V3,V7), P_vmul-{F}(V3,V1,V8), P_vplus-{F}(V8,V3,V9), P_vsucc-{F}(V1,V10), P_vmul-{F}(V3,V10,V11), P_v1-{F}(V12), P_vmul-{F}(V0,V12,V13), P_vsucc-{F}(V13,V14), P_vplus-{F}(V13,V12,V15), P_vmul-{F}(V3,V12,V16), P_vplus-{F}(V17,V18,V19), P_vplus-{F}(V19,V20,V21), P_vplus-{F}(V18,V20,V22), P_vplus-{F}(V17,V22,V23), V21 == V23 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #441: mergings( V6 == V9, V7 == V10, V5 == V20, V3 == V8; #435 ), references = 1, size of lhs = 16:
% 1.82/1.99     P_vd411-{F}(V0), P_vsucc-{F}(V0,V1), P_vd413-{F}(V2), P_vmul-{F}(V0,V2,V3), P_vplus-{F}(V3,V2,V4), P_vplus-{F}(V4,V1,V5), P_vmul-{F}(V1,V2,V6), P_vplus-{F}(V6,V1,V7), P_vsucc-{F}(V2,V8), P_vmul-{F}(V1,V8,V9), P_v1-{F}(V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V11,V12), P_vplus-{F}(V11,V10,V13), P_vmul-{F}(V1,V10,V14), P_vplus-{F}(V1,V2,V15) | P_vplus-{T}(V2,V1,V15)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #447: mergings( V5 == V9, V6 == V10, V7 == V11, V9 == V21, V3 == V8; #434 ), references = 1, size of lhs = 16:
% 1.82/1.99     P_vd411-{F}(V0), P_vsucc-{F}(V0,V1), P_vd413-{F}(V2), P_vmul-{F}(V0,V2,V3), P_vplus-{F}(V3,V2,V4), P_vplus-{F}(V4,V1,V5), P_vmul-{F}(V1,V2,V6), P_vplus-{F}(V6,V1,V7), P_vsucc-{F}(V2,V8), P_vmul-{F}(V1,V8,V9), P_v1-{F}(V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V11,V12), P_vplus-{F}(V11,V10,V13), P_vmul-{F}(V1,V10,V14), P_vplus-{F}(V1,V2,V15) | P_vplus-{T}(V2,V1,V15)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #451: mergings( V6 == V9, V7 == V10, V3 == V8; #436 ), references = 1, size of lhs = 19:
% 1.82/1.99     P_vd411-{F}(V0), P_vsucc-{F}(V0,V1), P_vd413-{F}(V2), P_vmul-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_vplus-{F}(V3,V2,V5), P_vplus-{F}(V5,V1,V6), P_vmul-{F}(V1,V2,V7), P_vplus-{F}(V7,V1,V8), P_vsucc-{F}(V2,V9), P_vmul-{F}(V1,V9,V10), P_v1-{F}(V11), P_vmul-{F}(V0,V11,V12), P_vsucc-{F}(V12,V13), P_vplus-{F}(V12,V11,V14), P_vmul-{F}(V1,V11,V15), P_vplus-{F}(V2,V16,V17), P_vplus-{F}(V16,V18,V1), P_vplus-{F}(V17,V18,V19) | P_vplus-{T}(V2,V1,V19)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #479: mergings( V14 == V15, V15 == V16, V16 == V22, V22 == V23, V23 == V24, V3 == V1, V0 == V4, V4 == V5, V6 == V7, V5 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V13, V12 == V17, V13 == V18, V17 == V19, V18 == V20, V19 == V21, V21 == V25, V20 == V26; #456 ), references = 2, size of lhs = 6:
% 1.82/1.99     P_v1-{F}(V0), P_vd413-{F}(V0), P_vd411-{F}(V0), P_vsucc-{F}(V0,V1), P_vplus-{F}(V1,V1,V2), P_vmul-{F}(V1,V1,V3) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #481: exists( #23, #479 ), references = 1, size of lhs = 5:
% 1.82/1.99     P_v1-{F}(V0), P_vd413-{F}(V0), P_vd411-{F}(V0), P_vsucc-{F}(V0,V1), P_vplus-{F}(V1,V1,V2) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #483: exists( #22, #480 ), references = 1, size of lhs = 4:
% 1.82/1.99     P_v1-{F}(V0), P_vd413-{F}(V0), P_vd411-{F}(V0), P_vsucc-{F}(V0,V1) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #485: exists( #26, #482 ), references = 1, size of lhs = 3:
% 1.82/1.99     P_v1-{F}(V0), P_vd413-{F}(V0), P_vd411-{F}(V0) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #487: exists( #22, #112 ), references = 1, size of lhs = 6:
% 1.82/1.99     P_vd411-{F}(V0), P_vsucc-{F}(V0,V1), P_vd413-{F}(V2), P_vplus-{F}(V1,V2,V1), P_vmul-{F}(V0,V2,V3), P_vplus-{F}(V3,V2,V3) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #490: exists( #22, #200 ), references = 3, size of lhs = 10:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vmul-{F}(V3,V1,V6), P_vsucc-{F}(V1,V7), P_vmul-{F}(V3,V7,V8) | P_vplus-{T}(V6,V3,V8)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #492: exists( #22, #1 ), references = 1, size of lhs = 10:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V2,V4,V5), P_vplus-{F}(V3,V1,V6), P_vplus-{F}(V2,V1,V7), P_vplus-{F}(V7,V3,V8), V8 == V5 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #497: exists( #22, #206 ), references = 4, size of lhs = 13:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vmul-{F}(V3,V1,V7), P_vsucc-{F}(V1,V8), P_vmul-{F}(V3,V8,V9), P_v1-{F}(V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V11,V12) | P_vplus-{T}(V11,V10,V12)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #498: exists( #22, #207 ), references = 1, size of lhs = 13:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vmul-{F}(V3,V1,V6), P_vsucc-{F}(V1,V7), P_vmul-{F}(V3,V7,V8), P_v1-{F}(V9), P_vmul-{F}(V0,V9,V10), P_vsucc-{F}(V10,V11) | P_vplus-{T}(V10,V9,V11)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #499: exists( #22, #201 ), references = 1, size of lhs = 14:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vmul-{F}(V3,V1,V7), P_vplus-{F}(V7,V3,V8), P_vsucc-{F}(V1,V9), P_vmul-{F}(V3,V9,V10), P_v1-{F}(V11), P_vmul-{F}(V0,V11,V12), P_vsucc-{F}(V12,V13) | P_vplus-{T}(V12,V11,V13)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #519: mergings( V2 == V12, V3 == V13, V4 == V14, V8 == V18, V5 == V15, V6 == V16, V7 == V17, V9 == V20, V10 == V22, V11 == V23; #506 ), references = 1, size of lhs = 17:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vplus-{F}(V6,V3,V7), P_vmul-{F}(V3,V1,V8), P_vplus-{F}(V8,V3,V9), P_vsucc-{F}(V1,V10), P_vmul-{F}(V3,V10,V11), P_v1-{F}(V12), P_vmul-{F}(V0,V12,V13), P_vmul-{F}(V3,V12,V14), P_vmul-{F}(V15,V12,V16), V16 == V15 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #530: mergings( V2 == V12, V3 == V13, V4 == V14, V8 == V18, V5 == V15, V6 == V16, V7 == V17, V9 == V20, V10 == V22, V11 == V23; #507 ), references = 1, size of lhs = 18:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vplus-{F}(V6,V3,V7), P_vmul-{F}(V3,V1,V8), P_vplus-{F}(V8,V3,V9), P_vsucc-{F}(V1,V10), P_vmul-{F}(V3,V10,V11), P_v1-{F}(V12), P_vmul-{F}(V0,V12,V13), P_vmul-{F}(V3,V12,V14), P_vplus-{F}(V15,V16,V17), P_vplus-{F}(V16,V15,V18), V17 == V18 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #541: mergings( V2 == V12, V3 == V13, V4 == V14, V8 == V18, V5 == V15, V6 == V16, V7 == V17, V9 == V20, V10 == V22, V11 == V23; #508 ), references = 1, size of lhs = 18:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vplus-{F}(V6,V3,V7), P_vmul-{F}(V3,V1,V8), P_vplus-{F}(V8,V3,V9), P_vsucc-{F}(V1,V10), P_vmul-{F}(V3,V10,V11), P_v1-{F}(V12), P_vmul-{F}(V0,V12,V13), P_vmul-{F}(V3,V12,V14), P_vplus-{F}(V15,V16,V17), P_vplus-{F}(V16,V15,V18), V17 == V18 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #554: mergings( V3 == V12, V4 == V13, V8 == V17, V10 == V21, V5 == V14, V6 == V15, V7 == V16, V9 == V19, V11 == V22; #543 ), references = 1, size of lhs = 17:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vplus-{F}(V6,V3,V7), P_vmul-{F}(V3,V1,V8), P_vplus-{F}(V8,V3,V9), P_vsucc-{F}(V1,V10), P_vmul-{F}(V3,V10,V11), P_v1-{F}(V12), P_vmul-{F}(V3,V12,V13), P_vplus-{F}(V14,V15,V16), P_vplus-{F}(V15,V14,V17), V16 == V17 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #564: mergings( V3 == V12, V4 == V13, V8 == V17, V10 == V21, V5 == V14, V6 == V15, V7 == V16, V9 == V19, V11 == V22; #544 ), references = 1, size of lhs = 17:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vplus-{F}(V6,V3,V7), P_vmul-{F}(V3,V1,V8), P_vplus-{F}(V8,V3,V9), P_vsucc-{F}(V1,V10), P_vmul-{F}(V3,V10,V11), P_v1-{F}(V12), P_vmul-{F}(V3,V12,V13), P_vplus-{F}(V14,V15,V16), P_vplus-{F}(V15,V14,V17), V16 == V17 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #576: mergings( V3 == V13, V6 == V14, V10 == V17, V4 == V21, V7 == V0, V8 == V15, V9 == V16, V11 == V19, V12 == V22; #565 ), references = 1, size of lhs = 16:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vplus-{F}(V6,V3,V7), P_vmul-{F}(V3,V1,V8), P_vplus-{F}(V8,V3,V9), P_vsucc-{F}(V1,V10), P_vmul-{F}(V3,V10,V11), P_v1-{F}(V12), P_vplus-{F}(V13,V14,V15), P_vplus-{F}(V14,V13,V16), V15 == V16 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #586: mergings( V3 == V13, V6 == V14, V10 == V17, V4 == V21, V7 == V0, V8 == V15, V9 == V16, V11 == V19, V12 == V22; #566 ), references = 1, size of lhs = 16:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vsucc-{F}(V0,V3), P_vplus-{F}(V1,V3,V4), P_vplus-{F}(V3,V1,V5), P_vplus-{F}(V2,V1,V6), P_vplus-{F}(V6,V3,V7), P_vmul-{F}(V3,V1,V8), P_vplus-{F}(V8,V3,V9), P_vsucc-{F}(V1,V10), P_vmul-{F}(V3,V10,V11), P_v1-{F}(V12), P_vplus-{F}(V13,V14,V15), P_vplus-{F}(V14,V13,V16), V15 == V16 | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #603: mergings( V5 == V12, V12 == V17, V17 == V21, V6 == V14, V11 == V16, V13 == V14, V3 == V10, V4 == V16, V7 == V9, V8 == V15, V9 == V18, V15 == V19; #589 ), references = 1, size of lhs = 10:
% 1.82/1.99     P_vd411-{F}(V0), P_vsucc-{F}(V0,V1), P_vd413-{F}(V2), P_vmul-{F}(V1,V2,V3), P_vmul-{F}(V0,V2,V4), P_vplus-{F}(V4,V2,V3), P_vsucc-{F}(V2,V5), P_vmul-{F}(V1,V5,V6), P_v1-{F}(V7), P_vplus-{F}(V1,V2,V8) | P_vplus-{T}(V2,V1,V8)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #616: mergings( V5 == V12, V12 == V17, V17 == V21, V6 == V14, V11 == V16, V13 == V14, V3 == V10, V4 == V16, V7 == V9, V8 == V15, V9 == V18, V15 == V19; #590 ), references = 1, size of lhs = 10:
% 1.82/1.99     P_vd411-{F}(V0), P_vsucc-{F}(V0,V1), P_vd413-{F}(V2), P_vmul-{F}(V1,V2,V3), P_vmul-{F}(V0,V2,V4), P_vplus-{F}(V4,V2,V3), P_vsucc-{F}(V2,V5), P_vmul-{F}(V1,V5,V6), P_v1-{F}(V7), P_vplus-{F}(V1,V2,V8) | P_vplus-{T}(V2,V1,V8)
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #632: mergings( V10 == V14, V14 == V17, V17 == V20, V7 == V15, V3 == V4, V6 == V20, V8 == V11, V9 == V12, V11 == V13, V12 == V16, V13 == V18, V16 == V19; #619 ), references = 1, size of lhs = 8:
% 1.82/1.99     P_v1-{F}(V0), P_vd411-{F}(V1), P_vsucc-{F}(V1,V2), P_vd413-{F}(V3), P_vmul-{F}(V2,V3,V4), P_vsucc-{F}(V3,V5), P_vmul-{F}(V2,V5,V6), P_vplus-{F}(V2,V3,V7) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #644: mergings( V5 == V8, V8 == V12, V12 == V14, V14 == V17, V6 == V9, V7 == V10, V9 == V11, V10 == V13, V11 == V15, V13 == V16; #633 ), references = 1, size of lhs = 7:
% 1.82/1.99     P_v1-{F}(V0), P_vd411-{F}(V1), P_vsucc-{F}(V1,V2), P_vd413-{F}(V3), P_vsucc-{F}(V3,V4), P_vmul-{F}(V2,V4,V5), P_vplus-{F}(V2,V3,V6) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #652: mergings( V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12; #645 ), references = 2, size of lhs = 6:
% 1.82/1.99     P_v1-{F}(V0), P_vd411-{F}(V1), P_vsucc-{F}(V1,V2), P_vd413-{F}(V3), P_vsucc-{F}(V3,V4), P_vmul-{F}(V2,V4,V5) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #654: exists( #23, #652 ), references = 2, size of lhs = 5:
% 1.82/1.99     P_v1-{F}(V0), P_vd411-{F}(V1), P_vsucc-{F}(V1,V2), P_vd413-{F}(V3), P_vsucc-{F}(V3,V4) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #656: exists( #26, #653 ), references = 1, size of lhs = 3:
% 1.82/1.99     P_v1-{F}(V0), P_vd411-{F}(V1), P_vd413-{F}(V1) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #658: exists( #27, #655 ), references = 1, size of lhs = 2:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V0) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #660: exists( #26, #654 ), references = 1, size of lhs = 4:
% 1.82/1.99     P_v1-{F}(V0), P_vd411-{F}(V1), P_vsucc-{F}(V1,V2), P_vd413-{F}(V3) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #662: exists( #26, #659 ), references = 1, size of lhs = 3:
% 1.82/1.99     P_v1-{F}(V0), P_vd411-{F}(V1), P_vd413-{F}(V2) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #664: exists( #27, #661 ), references = 1, size of lhs = 2:
% 1.82/1.99     P_vd411-{F}(V0), P_vd413-{F}(V1) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #666: exists( #25, #663 ), references = 1, size of lhs = 1:
% 1.82/1.99     P_vd411-{F}(V0) | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  #668: exists( #24, #665 ), references = 1, size of lhs = 0:
% 1.82/1.99     FALSE | FALSE
% 1.82/1.99        (used 0 times, uses = {})
% 1.82/1.99  
% 1.82/1.99  number of learnt formulas = 105
% 1.82/1.99  
% 1.82/1.99  
% 1.82/1.99  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.82/1.99  
% 1.82/1.99  randbase = 1
%------------------------------------------------------------------------------