TSTP Solution File: KLE127+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : KLE127+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n016.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 : Fri Sep  1 17:09:20 EDT 2023

% Result   : CounterSatisfiable 92.40s 13.64s
% Output   : FiniteModel 92.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : KLE127+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36  % Computer : n016.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Wed Aug 30 18:19:03 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.42  % (27195)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (27198)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.42  % (27199)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.42  % (27201)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.42  % (27200)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.21/0.42  % (27202)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.21/0.42  % (27203)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.21/0.42  % (27204)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.21/0.43  TRYING [1]
% 0.21/0.43  TRYING [2]
% 0.21/0.43  TRYING [3]
% 0.21/0.44  TRYING [1]
% 0.21/0.44  TRYING [2]
% 0.21/0.46  TRYING [4]
% 0.21/0.47  TRYING [3]
% 1.14/0.56  TRYING [4]
% 1.32/0.61  TRYING [5]
% 3.09/0.88  TRYING [6]
% 3.38/0.88  TRYING [5]
% 7.69/1.52  TRYING [1]
% 7.69/1.52  TRYING [2]
% 7.69/1.53  TRYING [3]
% 7.69/1.54  TRYING [7]
% 8.06/1.56  TRYING [4]
% 8.87/1.70  TRYING [5]
% 10.96/2.03  TRYING [6]
% 21.40/3.48  TRYING [7]
% 23.49/3.80  TRYING [8]
% 26.86/4.25  TRYING [6]
% 47.11/7.18  TRYING [8]
% 92.40/13.64  Finite Model Found!
% 92.40/13.64  % SZS status CounterSatisfiable for Vampire---4
% 92.40/13.65  % (27201)First to succeed.
% 92.59/13.67  % SZS output start FiniteModel for Vampire---4
% 92.59/13.67  tff(declare_$i,type,$i:$tType).
% 92.59/13.67  tff(declare_$i1,type,zero:$i).
% 92.59/13.67  tff(declare_$i2,type,one:$i).
% 92.59/13.67  tff(declare_$i3,type,fmb_$i_3:$i).
% 92.59/13.67  tff(declare_$i4,type,fmb_$i_4:$i).
% 92.59/13.67  tff(declare_$i5,type,fmb_$i_5:$i).
% 92.59/13.67  tff(declare_$i6,type,fmb_$i_6:$i).
% 92.59/13.67  tff(declare_$i7,type,fmb_$i_7:$i).
% 92.59/13.67  tff(declare_$i8,type,fmb_$i_8:$i).
% 92.59/13.67  tff(finite_domain,axiom,
% 92.59/13.67        ! [X:$i] : (
% 92.59/13.67           X = zero | X = one | X = fmb_$i_3 | X = fmb_$i_4 | X = fmb_$i_5 | 
% 92.59/13.67           X = fmb_$i_6 | X = fmb_$i_7 | X = fmb_$i_8
% 92.59/13.67        ) ).
% 92.59/13.67  
% 92.59/13.67  tff(distinct_domain,axiom,
% 92.59/13.67           zero != one & zero != fmb_$i_3 & zero != fmb_$i_4 & zero != fmb_$i_5 & zero != fmb_$i_6 & 
% 92.59/13.67           zero != fmb_$i_7 & zero != fmb_$i_8 & one != fmb_$i_3 & one != fmb_$i_4 & one != fmb_$i_5 & 
% 92.59/13.67           one != fmb_$i_6 & one != fmb_$i_7 & one != fmb_$i_8 & fmb_$i_3 != fmb_$i_4 & fmb_$i_3 != fmb_$i_5 & 
% 92.59/13.67           fmb_$i_3 != fmb_$i_6 & fmb_$i_3 != fmb_$i_7 & fmb_$i_3 != fmb_$i_8 & fmb_$i_4 != fmb_$i_5 & fmb_$i_4 != fmb_$i_6 & 
% 92.59/13.67           fmb_$i_4 != fmb_$i_7 & fmb_$i_4 != fmb_$i_8 & fmb_$i_5 != fmb_$i_6 & fmb_$i_5 != fmb_$i_7 & fmb_$i_5 != fmb_$i_8 & 
% 92.59/13.67           fmb_$i_6 != fmb_$i_7 & fmb_$i_6 != fmb_$i_8 & fmb_$i_7 != fmb_$i_8
% 92.59/13.67  ).
% 92.59/13.67  
% 92.59/13.67  tff(declare_bool,type,$o:$tType).
% 92.59/13.67  tff(declare_bool1,type,fmb_bool_1:$o).
% 92.59/13.67  tff(finite_domain,axiom,
% 92.59/13.67        ! [X:$o] : (
% 92.59/13.67           X = fmb_bool_1
% 92.59/13.67        ) ).
% 92.59/13.67  
% 92.59/13.67  tff(declare_addition,type,addition: $i * $i > $i).
% 92.59/13.67  tff(function_addition,axiom,
% 92.59/13.67             addition(zero,zero) = zero
% 92.59/13.67           & addition(zero,one) = one
% 92.59/13.67           & addition(zero,fmb_$i_3) = fmb_$i_3
% 92.59/13.67           & addition(zero,fmb_$i_4) = fmb_$i_4
% 92.59/13.67           & addition(zero,fmb_$i_5) = fmb_$i_5
% 92.59/13.67           & addition(zero,fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & addition(zero,fmb_$i_7) = fmb_$i_7
% 92.59/13.67           & addition(zero,fmb_$i_8) = fmb_$i_8
% 92.59/13.67           & addition(one,zero) = one
% 92.59/13.67           & addition(one,one) = one
% 92.59/13.67           & addition(one,fmb_$i_3) = one
% 92.59/13.67           & addition(one,fmb_$i_4) = fmb_$i_4
% 92.59/13.67           & addition(one,fmb_$i_5) = fmb_$i_4
% 92.59/13.67           & addition(one,fmb_$i_6) = one
% 92.59/13.67           & addition(one,fmb_$i_7) = fmb_$i_4
% 92.59/13.67           & addition(one,fmb_$i_8) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_3,zero) = fmb_$i_3
% 92.59/13.67           & addition(fmb_$i_3,one) = one
% 92.59/13.67           & addition(fmb_$i_3,fmb_$i_3) = fmb_$i_3
% 92.59/13.67           & addition(fmb_$i_3,fmb_$i_4) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_3,fmb_$i_5) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_3,fmb_$i_6) = one
% 92.59/13.67           & addition(fmb_$i_3,fmb_$i_7) = fmb_$i_8
% 92.59/13.67           & addition(fmb_$i_3,fmb_$i_8) = fmb_$i_8
% 92.59/13.67           & addition(fmb_$i_4,zero) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_4,one) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_4,fmb_$i_3) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_4,fmb_$i_4) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_4,fmb_$i_5) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_4,fmb_$i_6) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_4,fmb_$i_7) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_4,fmb_$i_8) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_5,zero) = fmb_$i_5
% 92.59/13.67           & addition(fmb_$i_5,one) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_5,fmb_$i_3) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_5,fmb_$i_4) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 92.59/13.67           & addition(fmb_$i_5,fmb_$i_6) = fmb_$i_5
% 92.59/13.67           & addition(fmb_$i_5,fmb_$i_7) = fmb_$i_5
% 92.59/13.67           & addition(fmb_$i_5,fmb_$i_8) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_6,zero) = fmb_$i_6
% 92.59/13.67           & addition(fmb_$i_6,one) = one
% 92.59/13.67           & addition(fmb_$i_6,fmb_$i_3) = one
% 92.59/13.67           & addition(fmb_$i_6,fmb_$i_4) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_6,fmb_$i_5) = fmb_$i_5
% 92.59/13.67           & addition(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & addition(fmb_$i_6,fmb_$i_7) = fmb_$i_5
% 92.59/13.67           & addition(fmb_$i_6,fmb_$i_8) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_7,zero) = fmb_$i_7
% 92.59/13.67           & addition(fmb_$i_7,one) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_7,fmb_$i_3) = fmb_$i_8
% 92.59/13.67           & addition(fmb_$i_7,fmb_$i_4) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_7,fmb_$i_5) = fmb_$i_5
% 92.59/13.67           & addition(fmb_$i_7,fmb_$i_6) = fmb_$i_5
% 92.59/13.67           & addition(fmb_$i_7,fmb_$i_7) = fmb_$i_7
% 92.59/13.67           & addition(fmb_$i_7,fmb_$i_8) = fmb_$i_8
% 92.59/13.67           & addition(fmb_$i_8,zero) = fmb_$i_8
% 92.59/13.67           & addition(fmb_$i_8,one) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_8,fmb_$i_3) = fmb_$i_8
% 92.59/13.67           & addition(fmb_$i_8,fmb_$i_4) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_8,fmb_$i_5) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_8,fmb_$i_6) = fmb_$i_4
% 92.59/13.67           & addition(fmb_$i_8,fmb_$i_7) = fmb_$i_8
% 92.59/13.67           & addition(fmb_$i_8,fmb_$i_8) = fmb_$i_8
% 92.59/13.67  
% 92.59/13.67  ).
% 92.59/13.67  
% 92.59/13.67  tff(declare_multiplication,type,multiplication: $i * $i > $i).
% 92.59/13.67  tff(function_multiplication,axiom,
% 92.59/13.67             multiplication(zero,zero) = zero
% 92.59/13.67           & multiplication(zero,one) = zero
% 92.59/13.67           & multiplication(zero,fmb_$i_3) = zero
% 92.59/13.67           & multiplication(zero,fmb_$i_4) = zero
% 92.59/13.67           & multiplication(zero,fmb_$i_5) = zero
% 92.59/13.67           & multiplication(zero,fmb_$i_6) = zero
% 92.59/13.67           & multiplication(zero,fmb_$i_7) = zero
% 92.59/13.67           & multiplication(zero,fmb_$i_8) = zero
% 92.59/13.67           & multiplication(one,zero) = zero
% 92.59/13.67           & multiplication(one,one) = one
% 92.59/13.67           & multiplication(one,fmb_$i_3) = fmb_$i_3
% 92.59/13.67           & multiplication(one,fmb_$i_4) = fmb_$i_4
% 92.59/13.67           & multiplication(one,fmb_$i_5) = fmb_$i_5
% 92.59/13.67           & multiplication(one,fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & multiplication(one,fmb_$i_7) = fmb_$i_7
% 92.59/13.67           & multiplication(one,fmb_$i_8) = fmb_$i_8
% 92.59/13.67           & multiplication(fmb_$i_3,zero) = zero
% 92.59/13.67           & multiplication(fmb_$i_3,one) = fmb_$i_3
% 92.59/13.67           & multiplication(fmb_$i_3,fmb_$i_3) = fmb_$i_3
% 92.59/13.67           & multiplication(fmb_$i_3,fmb_$i_4) = fmb_$i_3
% 92.59/13.67           & multiplication(fmb_$i_3,fmb_$i_5) = zero
% 92.59/13.67           & multiplication(fmb_$i_3,fmb_$i_6) = zero
% 92.59/13.67           & multiplication(fmb_$i_3,fmb_$i_7) = zero
% 92.59/13.67           & multiplication(fmb_$i_3,fmb_$i_8) = fmb_$i_3
% 92.59/13.67           & multiplication(fmb_$i_4,zero) = zero
% 92.59/13.67           & multiplication(fmb_$i_4,one) = fmb_$i_4
% 92.59/13.67           & multiplication(fmb_$i_4,fmb_$i_3) = fmb_$i_8
% 92.59/13.67           & multiplication(fmb_$i_4,fmb_$i_4) = fmb_$i_4
% 92.59/13.67           & multiplication(fmb_$i_4,fmb_$i_5) = fmb_$i_5
% 92.59/13.67           & multiplication(fmb_$i_4,fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & multiplication(fmb_$i_4,fmb_$i_7) = fmb_$i_7
% 92.59/13.67           & multiplication(fmb_$i_4,fmb_$i_8) = fmb_$i_8
% 92.59/13.67           & multiplication(fmb_$i_5,zero) = zero
% 92.59/13.67           & multiplication(fmb_$i_5,one) = fmb_$i_5
% 92.59/13.67           & multiplication(fmb_$i_5,fmb_$i_3) = fmb_$i_7
% 92.59/13.67           & multiplication(fmb_$i_5,fmb_$i_4) = fmb_$i_5
% 92.59/13.67           & multiplication(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 92.59/13.67           & multiplication(fmb_$i_5,fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & multiplication(fmb_$i_5,fmb_$i_7) = fmb_$i_7
% 92.59/13.67           & multiplication(fmb_$i_5,fmb_$i_8) = fmb_$i_7
% 92.59/13.67           & multiplication(fmb_$i_6,zero) = zero
% 92.59/13.67           & multiplication(fmb_$i_6,one) = fmb_$i_6
% 92.59/13.67           & multiplication(fmb_$i_6,fmb_$i_3) = zero
% 92.59/13.67           & multiplication(fmb_$i_6,fmb_$i_4) = fmb_$i_5
% 92.59/13.67           & multiplication(fmb_$i_6,fmb_$i_5) = fmb_$i_5
% 92.59/13.67           & multiplication(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & multiplication(fmb_$i_6,fmb_$i_7) = fmb_$i_7
% 92.59/13.67           & multiplication(fmb_$i_6,fmb_$i_8) = fmb_$i_7
% 92.59/13.67           & multiplication(fmb_$i_7,zero) = zero
% 92.59/13.67           & multiplication(fmb_$i_7,one) = fmb_$i_7
% 92.59/13.67           & multiplication(fmb_$i_7,fmb_$i_3) = fmb_$i_7
% 92.59/13.67           & multiplication(fmb_$i_7,fmb_$i_4) = fmb_$i_7
% 92.59/13.67           & multiplication(fmb_$i_7,fmb_$i_5) = zero
% 92.59/13.67           & multiplication(fmb_$i_7,fmb_$i_6) = zero
% 92.59/13.67           & multiplication(fmb_$i_7,fmb_$i_7) = zero
% 92.59/13.67           & multiplication(fmb_$i_7,fmb_$i_8) = fmb_$i_7
% 92.59/13.67           & multiplication(fmb_$i_8,zero) = zero
% 92.59/13.67           & multiplication(fmb_$i_8,one) = fmb_$i_8
% 92.59/13.67           & multiplication(fmb_$i_8,fmb_$i_3) = fmb_$i_8
% 92.59/13.67           & multiplication(fmb_$i_8,fmb_$i_4) = fmb_$i_8
% 92.59/13.67           & multiplication(fmb_$i_8,fmb_$i_5) = zero
% 92.59/13.67           & multiplication(fmb_$i_8,fmb_$i_6) = zero
% 92.59/13.67           & multiplication(fmb_$i_8,fmb_$i_7) = zero
% 92.59/13.67           & multiplication(fmb_$i_8,fmb_$i_8) = fmb_$i_8
% 92.59/13.67  
% 92.59/13.67  ).
% 92.59/13.67  
% 92.59/13.67  tff(declare_antidomain,type,antidomain: $i > $i).
% 92.59/13.67  tff(function_antidomain,axiom,
% 92.59/13.67             antidomain(zero) = one
% 92.59/13.67           & antidomain(one) = zero
% 92.59/13.67           & antidomain(fmb_$i_3) = fmb_$i_6
% 92.59/13.67           & antidomain(fmb_$i_4) = zero
% 92.59/13.67           & antidomain(fmb_$i_5) = fmb_$i_3
% 92.59/13.67           & antidomain(fmb_$i_6) = fmb_$i_3
% 92.59/13.67           & antidomain(fmb_$i_7) = fmb_$i_3
% 92.59/13.67           & antidomain(fmb_$i_8) = zero
% 92.59/13.67  
% 92.59/13.67  ).
% 92.59/13.67  
% 92.59/13.67  tff(declare_domain,type,domain: $i > $i).
% 92.59/13.67  tff(function_domain,axiom,
% 92.59/13.67             domain(zero) = zero
% 92.59/13.67           & domain(one) = one
% 92.59/13.67           & domain(fmb_$i_3) = fmb_$i_3
% 92.59/13.67           & domain(fmb_$i_4) = one
% 92.59/13.67           & domain(fmb_$i_5) = fmb_$i_6
% 92.59/13.67           & domain(fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & domain(fmb_$i_7) = fmb_$i_6
% 92.59/13.67           & domain(fmb_$i_8) = one
% 92.59/13.67  
% 92.59/13.67  ).
% 92.59/13.67  
% 92.59/13.67  tff(declare_coantidomain,type,coantidomain: $i > $i).
% 92.59/13.67  tff(function_coantidomain,axiom,
% 92.59/13.67             coantidomain(zero) = one
% 92.59/13.67           & coantidomain(one) = zero
% 92.59/13.67           & coantidomain(fmb_$i_3) = fmb_$i_6
% 92.59/13.67           & coantidomain(fmb_$i_4) = zero
% 92.59/13.67           & coantidomain(fmb_$i_5) = zero
% 92.59/13.67           & coantidomain(fmb_$i_6) = fmb_$i_3
% 92.59/13.67           & coantidomain(fmb_$i_7) = fmb_$i_6
% 92.59/13.67           & coantidomain(fmb_$i_8) = fmb_$i_6
% 92.59/13.67  
% 92.59/13.67  ).
% 92.59/13.67  
% 92.59/13.67  tff(declare_codomain,type,codomain: $i > $i).
% 92.59/13.67  tff(function_codomain,axiom,
% 92.59/13.67             codomain(zero) = zero
% 92.59/13.67           & codomain(one) = one
% 92.59/13.67           & codomain(fmb_$i_3) = fmb_$i_3
% 92.59/13.67           & codomain(fmb_$i_4) = one
% 92.59/13.67           & codomain(fmb_$i_5) = one
% 92.59/13.67           & codomain(fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & codomain(fmb_$i_7) = fmb_$i_3
% 92.59/13.67           & codomain(fmb_$i_8) = fmb_$i_3
% 92.59/13.67  
% 92.59/13.67  ).
% 92.59/13.67  
% 92.59/13.67  tff(declare_c,type,c: $i > $i).
% 92.59/13.67  tff(function_c,axiom,
% 92.59/13.67             c(zero) = one
% 92.59/13.67           & c(one) = zero
% 92.59/13.67           & c(fmb_$i_3) = fmb_$i_6
% 92.59/13.67           & c(fmb_$i_4) = zero
% 92.59/13.67           & c(fmb_$i_5) = fmb_$i_3
% 92.59/13.67           & c(fmb_$i_6) = fmb_$i_3
% 92.59/13.67           & c(fmb_$i_7) = fmb_$i_3
% 92.59/13.67           & c(fmb_$i_8) = zero
% 92.59/13.67  
% 92.59/13.67  ).
% 92.59/13.67  
% 92.59/13.67  tff(declare_domain_difference,type,domain_difference: $i * $i > $i).
% 92.59/13.67  tff(function_domain_difference,axiom,
% 92.59/13.67             domain_difference(zero,zero) = zero
% 92.59/13.67           & domain_difference(zero,one) = zero
% 92.59/13.67           & domain_difference(zero,fmb_$i_3) = zero
% 92.59/13.67           & domain_difference(zero,fmb_$i_4) = zero
% 92.59/13.67           & domain_difference(zero,fmb_$i_5) = zero
% 92.59/13.67           & domain_difference(zero,fmb_$i_6) = zero
% 92.59/13.67           & domain_difference(zero,fmb_$i_7) = zero
% 92.59/13.67           & domain_difference(zero,fmb_$i_8) = zero
% 92.59/13.67           & domain_difference(one,zero) = one
% 92.59/13.67           & domain_difference(one,one) = zero
% 92.59/13.67           & domain_difference(one,fmb_$i_3) = fmb_$i_6
% 92.59/13.67           & domain_difference(one,fmb_$i_4) = zero
% 92.59/13.67           & domain_difference(one,fmb_$i_5) = fmb_$i_3
% 92.59/13.67           & domain_difference(one,fmb_$i_6) = fmb_$i_3
% 92.59/13.67           & domain_difference(one,fmb_$i_7) = fmb_$i_3
% 92.59/13.67           & domain_difference(one,fmb_$i_8) = zero
% 92.59/13.67           & domain_difference(fmb_$i_3,zero) = fmb_$i_3
% 92.59/13.67           & domain_difference(fmb_$i_3,one) = zero
% 92.59/13.67           & domain_difference(fmb_$i_3,fmb_$i_3) = zero
% 92.59/13.67           & domain_difference(fmb_$i_3,fmb_$i_4) = zero
% 92.59/13.67           & domain_difference(fmb_$i_3,fmb_$i_5) = fmb_$i_3
% 92.59/13.67           & domain_difference(fmb_$i_3,fmb_$i_6) = fmb_$i_3
% 92.59/13.67           & domain_difference(fmb_$i_3,fmb_$i_7) = fmb_$i_3
% 92.59/13.67           & domain_difference(fmb_$i_3,fmb_$i_8) = zero
% 92.59/13.67           & domain_difference(fmb_$i_4,zero) = one
% 92.59/13.67           & domain_difference(fmb_$i_4,one) = zero
% 92.59/13.67           & domain_difference(fmb_$i_4,fmb_$i_3) = fmb_$i_6
% 92.59/13.67           & domain_difference(fmb_$i_4,fmb_$i_4) = zero
% 92.59/13.67           & domain_difference(fmb_$i_4,fmb_$i_5) = fmb_$i_3
% 92.59/13.67           & domain_difference(fmb_$i_4,fmb_$i_6) = fmb_$i_3
% 92.59/13.67           & domain_difference(fmb_$i_4,fmb_$i_7) = fmb_$i_3
% 92.59/13.67           & domain_difference(fmb_$i_4,fmb_$i_8) = zero
% 92.59/13.67           & domain_difference(fmb_$i_5,zero) = fmb_$i_6
% 92.59/13.67           & domain_difference(fmb_$i_5,one) = zero
% 92.59/13.67           & domain_difference(fmb_$i_5,fmb_$i_3) = fmb_$i_6
% 92.59/13.67           & domain_difference(fmb_$i_5,fmb_$i_4) = zero
% 92.59/13.67           & domain_difference(fmb_$i_5,fmb_$i_5) = zero
% 92.59/13.67           & domain_difference(fmb_$i_5,fmb_$i_6) = zero
% 92.59/13.67           & domain_difference(fmb_$i_5,fmb_$i_7) = zero
% 92.59/13.67           & domain_difference(fmb_$i_5,fmb_$i_8) = zero
% 92.59/13.67           & domain_difference(fmb_$i_6,zero) = fmb_$i_6
% 92.59/13.67           & domain_difference(fmb_$i_6,one) = zero
% 92.59/13.67           & domain_difference(fmb_$i_6,fmb_$i_3) = fmb_$i_6
% 92.59/13.67           & domain_difference(fmb_$i_6,fmb_$i_4) = zero
% 92.59/13.67           & domain_difference(fmb_$i_6,fmb_$i_5) = zero
% 92.59/13.67           & domain_difference(fmb_$i_6,fmb_$i_6) = zero
% 92.59/13.67           & domain_difference(fmb_$i_6,fmb_$i_7) = zero
% 92.59/13.67           & domain_difference(fmb_$i_6,fmb_$i_8) = zero
% 92.59/13.67           & domain_difference(fmb_$i_7,zero) = fmb_$i_6
% 92.59/13.67           & domain_difference(fmb_$i_7,one) = zero
% 92.59/13.67           & domain_difference(fmb_$i_7,fmb_$i_3) = fmb_$i_6
% 92.59/13.67           & domain_difference(fmb_$i_7,fmb_$i_4) = zero
% 92.59/13.67           & domain_difference(fmb_$i_7,fmb_$i_5) = zero
% 92.59/13.67           & domain_difference(fmb_$i_7,fmb_$i_6) = zero
% 92.59/13.67           & domain_difference(fmb_$i_7,fmb_$i_7) = zero
% 92.59/13.67           & domain_difference(fmb_$i_7,fmb_$i_8) = zero
% 92.59/13.67           & domain_difference(fmb_$i_8,zero) = one
% 92.59/13.67           & domain_difference(fmb_$i_8,one) = zero
% 92.59/13.67           & domain_difference(fmb_$i_8,fmb_$i_3) = fmb_$i_6
% 92.59/13.67           & domain_difference(fmb_$i_8,fmb_$i_4) = zero
% 92.59/13.67           & domain_difference(fmb_$i_8,fmb_$i_5) = fmb_$i_3
% 92.59/13.67           & domain_difference(fmb_$i_8,fmb_$i_6) = fmb_$i_3
% 92.59/13.67           & domain_difference(fmb_$i_8,fmb_$i_7) = fmb_$i_3
% 92.59/13.67           & domain_difference(fmb_$i_8,fmb_$i_8) = zero
% 92.59/13.67  
% 92.59/13.67  ).
% 92.59/13.67  
% 92.59/13.67  tff(declare_forward_diamond,type,forward_diamond: $i * $i > $i).
% 92.59/13.67  tff(function_forward_diamond,axiom,
% 92.59/13.67             forward_diamond(zero,zero) = zero
% 92.59/13.67           & forward_diamond(zero,one) = zero
% 92.59/13.67           & forward_diamond(zero,fmb_$i_3) = zero
% 92.59/13.67           & forward_diamond(zero,fmb_$i_4) = zero
% 92.59/13.67           & forward_diamond(zero,fmb_$i_5) = zero
% 92.59/13.67           & forward_diamond(zero,fmb_$i_6) = zero
% 92.59/13.67           & forward_diamond(zero,fmb_$i_7) = zero
% 92.59/13.67           & forward_diamond(zero,fmb_$i_8) = zero
% 92.59/13.67           & forward_diamond(one,zero) = zero
% 92.59/13.67           & forward_diamond(one,one) = one
% 92.59/13.67           & forward_diamond(one,fmb_$i_3) = fmb_$i_3
% 92.59/13.67           & forward_diamond(one,fmb_$i_4) = one
% 92.59/13.67           & forward_diamond(one,fmb_$i_5) = fmb_$i_6
% 92.59/13.67           & forward_diamond(one,fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & forward_diamond(one,fmb_$i_7) = fmb_$i_6
% 92.59/13.67           & forward_diamond(one,fmb_$i_8) = one
% 92.59/13.67           & forward_diamond(fmb_$i_3,zero) = zero
% 92.59/13.67           & forward_diamond(fmb_$i_3,one) = fmb_$i_3
% 92.59/13.67           & forward_diamond(fmb_$i_3,fmb_$i_3) = fmb_$i_3
% 92.59/13.67           & forward_diamond(fmb_$i_3,fmb_$i_4) = fmb_$i_3
% 92.59/13.67           & forward_diamond(fmb_$i_3,fmb_$i_5) = zero
% 92.59/13.67           & forward_diamond(fmb_$i_3,fmb_$i_6) = zero
% 92.59/13.67           & forward_diamond(fmb_$i_3,fmb_$i_7) = zero
% 92.59/13.67           & forward_diamond(fmb_$i_3,fmb_$i_8) = fmb_$i_3
% 92.59/13.67           & forward_diamond(fmb_$i_4,zero) = zero
% 92.59/13.67           & forward_diamond(fmb_$i_4,one) = one
% 92.59/13.67           & forward_diamond(fmb_$i_4,fmb_$i_3) = one
% 92.59/13.67           & forward_diamond(fmb_$i_4,fmb_$i_4) = one
% 92.59/13.67           & forward_diamond(fmb_$i_4,fmb_$i_5) = fmb_$i_6
% 92.59/13.67           & forward_diamond(fmb_$i_4,fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & forward_diamond(fmb_$i_4,fmb_$i_7) = fmb_$i_6
% 92.59/13.67           & forward_diamond(fmb_$i_4,fmb_$i_8) = one
% 92.59/13.67           & forward_diamond(fmb_$i_5,zero) = zero
% 92.59/13.67           & forward_diamond(fmb_$i_5,one) = fmb_$i_6
% 92.59/13.67           & forward_diamond(fmb_$i_5,fmb_$i_3) = fmb_$i_6
% 92.59/13.67           & forward_diamond(fmb_$i_5,fmb_$i_4) = fmb_$i_6
% 92.59/13.67           & forward_diamond(fmb_$i_5,fmb_$i_5) = fmb_$i_6
% 92.59/13.67           & forward_diamond(fmb_$i_5,fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & forward_diamond(fmb_$i_5,fmb_$i_7) = fmb_$i_6
% 92.59/13.67           & forward_diamond(fmb_$i_5,fmb_$i_8) = fmb_$i_6
% 92.59/13.67           & forward_diamond(fmb_$i_6,zero) = zero
% 92.59/13.67           & forward_diamond(fmb_$i_6,one) = fmb_$i_6
% 92.59/13.67           & forward_diamond(fmb_$i_6,fmb_$i_3) = zero
% 92.59/13.67           & forward_diamond(fmb_$i_6,fmb_$i_4) = fmb_$i_6
% 92.59/13.67           & forward_diamond(fmb_$i_6,fmb_$i_5) = fmb_$i_6
% 92.59/13.67           & forward_diamond(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & forward_diamond(fmb_$i_6,fmb_$i_7) = fmb_$i_6
% 92.59/13.67           & forward_diamond(fmb_$i_6,fmb_$i_8) = fmb_$i_6
% 92.59/13.67           & forward_diamond(fmb_$i_7,zero) = zero
% 92.59/13.67           & forward_diamond(fmb_$i_7,one) = fmb_$i_6
% 92.59/13.67           & forward_diamond(fmb_$i_7,fmb_$i_3) = fmb_$i_6
% 92.59/13.67           & forward_diamond(fmb_$i_7,fmb_$i_4) = fmb_$i_6
% 92.59/13.67           & forward_diamond(fmb_$i_7,fmb_$i_5) = zero
% 92.59/13.67           & forward_diamond(fmb_$i_7,fmb_$i_6) = zero
% 92.59/13.67           & forward_diamond(fmb_$i_7,fmb_$i_7) = zero
% 92.59/13.67           & forward_diamond(fmb_$i_7,fmb_$i_8) = fmb_$i_6
% 92.59/13.67           & forward_diamond(fmb_$i_8,zero) = zero
% 92.59/13.67           & forward_diamond(fmb_$i_8,one) = one
% 92.59/13.67           & forward_diamond(fmb_$i_8,fmb_$i_3) = one
% 92.59/13.67           & forward_diamond(fmb_$i_8,fmb_$i_4) = one
% 92.59/13.67           & forward_diamond(fmb_$i_8,fmb_$i_5) = zero
% 92.59/13.67           & forward_diamond(fmb_$i_8,fmb_$i_6) = zero
% 92.59/13.67           & forward_diamond(fmb_$i_8,fmb_$i_7) = zero
% 92.59/13.67           & forward_diamond(fmb_$i_8,fmb_$i_8) = one
% 92.59/13.67  
% 92.59/13.67  ).
% 92.59/13.67  
% 92.59/13.67  tff(declare_backward_diamond,type,backward_diamond: $i * $i > $i).
% 92.59/13.67  tff(function_backward_diamond,axiom,
% 92.59/13.67             backward_diamond(zero,zero) = zero
% 92.59/13.67           & backward_diamond(zero,one) = zero
% 92.59/13.67           & backward_diamond(zero,fmb_$i_3) = zero
% 92.59/13.67           & backward_diamond(zero,fmb_$i_4) = zero
% 92.59/13.67           & backward_diamond(zero,fmb_$i_5) = zero
% 92.59/13.67           & backward_diamond(zero,fmb_$i_6) = zero
% 92.59/13.67           & backward_diamond(zero,fmb_$i_7) = zero
% 92.59/13.67           & backward_diamond(zero,fmb_$i_8) = zero
% 92.59/13.67           & backward_diamond(one,zero) = zero
% 92.59/13.67           & backward_diamond(one,one) = one
% 92.59/13.67           & backward_diamond(one,fmb_$i_3) = fmb_$i_3
% 92.59/13.67           & backward_diamond(one,fmb_$i_4) = one
% 92.59/13.67           & backward_diamond(one,fmb_$i_5) = one
% 92.59/13.67           & backward_diamond(one,fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & backward_diamond(one,fmb_$i_7) = fmb_$i_3
% 92.59/13.67           & backward_diamond(one,fmb_$i_8) = fmb_$i_3
% 92.59/13.67           & backward_diamond(fmb_$i_3,zero) = zero
% 92.59/13.67           & backward_diamond(fmb_$i_3,one) = fmb_$i_3
% 92.59/13.67           & backward_diamond(fmb_$i_3,fmb_$i_3) = fmb_$i_3
% 92.59/13.67           & backward_diamond(fmb_$i_3,fmb_$i_4) = fmb_$i_3
% 92.59/13.67           & backward_diamond(fmb_$i_3,fmb_$i_5) = fmb_$i_3
% 92.59/13.67           & backward_diamond(fmb_$i_3,fmb_$i_6) = zero
% 92.59/13.67           & backward_diamond(fmb_$i_3,fmb_$i_7) = fmb_$i_3
% 92.59/13.67           & backward_diamond(fmb_$i_3,fmb_$i_8) = fmb_$i_3
% 92.59/13.67           & backward_diamond(fmb_$i_4,zero) = zero
% 92.59/13.67           & backward_diamond(fmb_$i_4,one) = one
% 92.59/13.67           & backward_diamond(fmb_$i_4,fmb_$i_3) = fmb_$i_3
% 92.59/13.67           & backward_diamond(fmb_$i_4,fmb_$i_4) = one
% 92.59/13.67           & backward_diamond(fmb_$i_4,fmb_$i_5) = one
% 92.59/13.67           & backward_diamond(fmb_$i_4,fmb_$i_6) = one
% 92.59/13.67           & backward_diamond(fmb_$i_4,fmb_$i_7) = fmb_$i_3
% 92.59/13.67           & backward_diamond(fmb_$i_4,fmb_$i_8) = fmb_$i_3
% 92.59/13.67           & backward_diamond(fmb_$i_5,zero) = zero
% 92.59/13.67           & backward_diamond(fmb_$i_5,one) = one
% 92.59/13.67           & backward_diamond(fmb_$i_5,fmb_$i_3) = zero
% 92.59/13.67           & backward_diamond(fmb_$i_5,fmb_$i_4) = one
% 92.59/13.67           & backward_diamond(fmb_$i_5,fmb_$i_5) = one
% 92.59/13.67           & backward_diamond(fmb_$i_5,fmb_$i_6) = one
% 92.59/13.67           & backward_diamond(fmb_$i_5,fmb_$i_7) = zero
% 92.59/13.67           & backward_diamond(fmb_$i_5,fmb_$i_8) = zero
% 92.59/13.67           & backward_diamond(fmb_$i_6,zero) = zero
% 92.59/13.67           & backward_diamond(fmb_$i_6,one) = fmb_$i_6
% 92.59/13.67           & backward_diamond(fmb_$i_6,fmb_$i_3) = zero
% 92.59/13.67           & backward_diamond(fmb_$i_6,fmb_$i_4) = fmb_$i_6
% 92.59/13.67           & backward_diamond(fmb_$i_6,fmb_$i_5) = fmb_$i_6
% 92.59/13.67           & backward_diamond(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & backward_diamond(fmb_$i_6,fmb_$i_7) = zero
% 92.59/13.67           & backward_diamond(fmb_$i_6,fmb_$i_8) = zero
% 92.59/13.67           & backward_diamond(fmb_$i_7,zero) = zero
% 92.59/13.67           & backward_diamond(fmb_$i_7,one) = fmb_$i_3
% 92.59/13.67           & backward_diamond(fmb_$i_7,fmb_$i_3) = zero
% 92.59/13.67           & backward_diamond(fmb_$i_7,fmb_$i_4) = fmb_$i_3
% 92.59/13.67           & backward_diamond(fmb_$i_7,fmb_$i_5) = fmb_$i_3
% 92.59/13.67           & backward_diamond(fmb_$i_7,fmb_$i_6) = fmb_$i_3
% 92.59/13.67           & backward_diamond(fmb_$i_7,fmb_$i_7) = zero
% 92.59/13.67           & backward_diamond(fmb_$i_7,fmb_$i_8) = zero
% 92.59/13.67           & backward_diamond(fmb_$i_8,zero) = zero
% 92.59/13.67           & backward_diamond(fmb_$i_8,one) = fmb_$i_3
% 92.59/13.67           & backward_diamond(fmb_$i_8,fmb_$i_3) = fmb_$i_3
% 92.59/13.67           & backward_diamond(fmb_$i_8,fmb_$i_4) = fmb_$i_3
% 92.59/13.67           & backward_diamond(fmb_$i_8,fmb_$i_5) = fmb_$i_3
% 92.59/13.67           & backward_diamond(fmb_$i_8,fmb_$i_6) = fmb_$i_3
% 92.59/13.67           & backward_diamond(fmb_$i_8,fmb_$i_7) = fmb_$i_3
% 92.59/13.67           & backward_diamond(fmb_$i_8,fmb_$i_8) = fmb_$i_3
% 92.59/13.67  
% 92.59/13.67  ).
% 92.59/13.67  
% 92.59/13.67  tff(declare_forward_box,type,forward_box: $i * $i > $i).
% 92.59/13.67  tff(function_forward_box,axiom,
% 92.59/13.67             forward_box(zero,zero) = one
% 92.59/13.67           & forward_box(zero,one) = one
% 92.59/13.67           & forward_box(zero,fmb_$i_3) = one
% 92.59/13.67           & forward_box(zero,fmb_$i_4) = one
% 92.59/13.67           & forward_box(zero,fmb_$i_5) = one
% 92.59/13.67           & forward_box(zero,fmb_$i_6) = one
% 92.59/13.67           & forward_box(zero,fmb_$i_7) = one
% 92.59/13.67           & forward_box(zero,fmb_$i_8) = one
% 92.59/13.67           & forward_box(one,zero) = zero
% 92.59/13.67           & forward_box(one,one) = one
% 92.59/13.67           & forward_box(one,fmb_$i_3) = fmb_$i_3
% 92.59/13.67           & forward_box(one,fmb_$i_4) = one
% 92.59/13.67           & forward_box(one,fmb_$i_5) = fmb_$i_6
% 92.59/13.67           & forward_box(one,fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & forward_box(one,fmb_$i_7) = fmb_$i_6
% 92.59/13.67           & forward_box(one,fmb_$i_8) = one
% 92.59/13.67           & forward_box(fmb_$i_3,zero) = fmb_$i_6
% 92.59/13.67           & forward_box(fmb_$i_3,one) = one
% 92.59/13.67           & forward_box(fmb_$i_3,fmb_$i_3) = one
% 92.59/13.67           & forward_box(fmb_$i_3,fmb_$i_4) = one
% 92.59/13.67           & forward_box(fmb_$i_3,fmb_$i_5) = fmb_$i_6
% 92.59/13.67           & forward_box(fmb_$i_3,fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & forward_box(fmb_$i_3,fmb_$i_7) = fmb_$i_6
% 92.59/13.67           & forward_box(fmb_$i_3,fmb_$i_8) = one
% 92.59/13.67           & forward_box(fmb_$i_4,zero) = zero
% 92.59/13.67           & forward_box(fmb_$i_4,one) = one
% 92.59/13.67           & forward_box(fmb_$i_4,fmb_$i_3) = fmb_$i_3
% 92.59/13.67           & forward_box(fmb_$i_4,fmb_$i_4) = one
% 92.59/13.67           & forward_box(fmb_$i_4,fmb_$i_5) = zero
% 92.59/13.67           & forward_box(fmb_$i_4,fmb_$i_6) = zero
% 92.59/13.67           & forward_box(fmb_$i_4,fmb_$i_7) = zero
% 92.59/13.67           & forward_box(fmb_$i_4,fmb_$i_8) = one
% 92.59/13.67           & forward_box(fmb_$i_5,zero) = fmb_$i_3
% 92.59/13.67           & forward_box(fmb_$i_5,one) = one
% 92.59/13.67           & forward_box(fmb_$i_5,fmb_$i_3) = fmb_$i_3
% 92.59/13.67           & forward_box(fmb_$i_5,fmb_$i_4) = one
% 92.59/13.67           & forward_box(fmb_$i_5,fmb_$i_5) = fmb_$i_3
% 92.59/13.67           & forward_box(fmb_$i_5,fmb_$i_6) = fmb_$i_3
% 92.59/13.67           & forward_box(fmb_$i_5,fmb_$i_7) = fmb_$i_3
% 92.59/13.67           & forward_box(fmb_$i_5,fmb_$i_8) = one
% 92.59/13.67           & forward_box(fmb_$i_6,zero) = fmb_$i_3
% 92.59/13.67           & forward_box(fmb_$i_6,one) = one
% 92.59/13.67           & forward_box(fmb_$i_6,fmb_$i_3) = fmb_$i_3
% 92.59/13.67           & forward_box(fmb_$i_6,fmb_$i_4) = one
% 92.59/13.67           & forward_box(fmb_$i_6,fmb_$i_5) = one
% 92.59/13.67           & forward_box(fmb_$i_6,fmb_$i_6) = one
% 92.59/13.67           & forward_box(fmb_$i_6,fmb_$i_7) = one
% 92.59/13.67           & forward_box(fmb_$i_6,fmb_$i_8) = one
% 92.59/13.67           & forward_box(fmb_$i_7,zero) = fmb_$i_3
% 92.59/13.67           & forward_box(fmb_$i_7,one) = one
% 92.59/13.67           & forward_box(fmb_$i_7,fmb_$i_3) = one
% 92.59/13.67           & forward_box(fmb_$i_7,fmb_$i_4) = one
% 92.59/13.67           & forward_box(fmb_$i_7,fmb_$i_5) = fmb_$i_3
% 92.59/13.67           & forward_box(fmb_$i_7,fmb_$i_6) = fmb_$i_3
% 92.59/13.67           & forward_box(fmb_$i_7,fmb_$i_7) = fmb_$i_3
% 92.59/13.67           & forward_box(fmb_$i_7,fmb_$i_8) = one
% 92.59/13.67           & forward_box(fmb_$i_8,zero) = zero
% 92.59/13.67           & forward_box(fmb_$i_8,one) = one
% 92.59/13.67           & forward_box(fmb_$i_8,fmb_$i_3) = one
% 92.59/13.67           & forward_box(fmb_$i_8,fmb_$i_4) = one
% 92.59/13.67           & forward_box(fmb_$i_8,fmb_$i_5) = zero
% 92.59/13.67           & forward_box(fmb_$i_8,fmb_$i_6) = zero
% 92.59/13.67           & forward_box(fmb_$i_8,fmb_$i_7) = zero
% 92.59/13.67           & forward_box(fmb_$i_8,fmb_$i_8) = one
% 92.59/13.67  
% 92.59/13.67  ).
% 92.59/13.67  
% 92.59/13.67  tff(declare_backward_box,type,backward_box: $i * $i > $i).
% 92.59/13.67  tff(function_backward_box,axiom,
% 92.59/13.67             backward_box(zero,zero) = one
% 92.59/13.67           & backward_box(zero,one) = one
% 92.59/13.67           & backward_box(zero,fmb_$i_3) = one
% 92.59/13.67           & backward_box(zero,fmb_$i_4) = one
% 92.59/13.67           & backward_box(zero,fmb_$i_5) = one
% 92.59/13.67           & backward_box(zero,fmb_$i_6) = one
% 92.59/13.67           & backward_box(zero,fmb_$i_7) = one
% 92.59/13.67           & backward_box(zero,fmb_$i_8) = one
% 92.59/13.67           & backward_box(one,zero) = zero
% 92.59/13.67           & backward_box(one,one) = one
% 92.59/13.67           & backward_box(one,fmb_$i_3) = fmb_$i_3
% 92.59/13.67           & backward_box(one,fmb_$i_4) = one
% 92.59/13.67           & backward_box(one,fmb_$i_5) = fmb_$i_6
% 92.59/13.67           & backward_box(one,fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & backward_box(one,fmb_$i_7) = fmb_$i_6
% 92.59/13.67           & backward_box(one,fmb_$i_8) = one
% 92.59/13.67           & backward_box(fmb_$i_3,zero) = fmb_$i_6
% 92.59/13.67           & backward_box(fmb_$i_3,one) = one
% 92.59/13.67           & backward_box(fmb_$i_3,fmb_$i_3) = one
% 92.59/13.67           & backward_box(fmb_$i_3,fmb_$i_4) = one
% 92.59/13.67           & backward_box(fmb_$i_3,fmb_$i_5) = fmb_$i_6
% 92.59/13.67           & backward_box(fmb_$i_3,fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & backward_box(fmb_$i_3,fmb_$i_7) = fmb_$i_6
% 92.59/13.67           & backward_box(fmb_$i_3,fmb_$i_8) = one
% 92.59/13.67           & backward_box(fmb_$i_4,zero) = zero
% 92.59/13.67           & backward_box(fmb_$i_4,one) = one
% 92.59/13.67           & backward_box(fmb_$i_4,fmb_$i_3) = zero
% 92.59/13.67           & backward_box(fmb_$i_4,fmb_$i_4) = one
% 92.59/13.67           & backward_box(fmb_$i_4,fmb_$i_5) = fmb_$i_6
% 92.59/13.67           & backward_box(fmb_$i_4,fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & backward_box(fmb_$i_4,fmb_$i_7) = fmb_$i_6
% 92.59/13.67           & backward_box(fmb_$i_4,fmb_$i_8) = one
% 92.59/13.67           & backward_box(fmb_$i_5,zero) = zero
% 92.59/13.67           & backward_box(fmb_$i_5,one) = one
% 92.59/13.67           & backward_box(fmb_$i_5,fmb_$i_3) = zero
% 92.59/13.67           & backward_box(fmb_$i_5,fmb_$i_4) = one
% 92.59/13.67           & backward_box(fmb_$i_5,fmb_$i_5) = one
% 92.59/13.67           & backward_box(fmb_$i_5,fmb_$i_6) = one
% 92.59/13.67           & backward_box(fmb_$i_5,fmb_$i_7) = one
% 92.59/13.67           & backward_box(fmb_$i_5,fmb_$i_8) = one
% 92.59/13.67           & backward_box(fmb_$i_6,zero) = fmb_$i_3
% 92.59/13.67           & backward_box(fmb_$i_6,one) = one
% 92.59/13.67           & backward_box(fmb_$i_6,fmb_$i_3) = fmb_$i_3
% 92.59/13.67           & backward_box(fmb_$i_6,fmb_$i_4) = one
% 92.59/13.67           & backward_box(fmb_$i_6,fmb_$i_5) = one
% 92.59/13.67           & backward_box(fmb_$i_6,fmb_$i_6) = one
% 92.59/13.67           & backward_box(fmb_$i_6,fmb_$i_7) = one
% 92.59/13.67           & backward_box(fmb_$i_6,fmb_$i_8) = one
% 92.59/13.67           & backward_box(fmb_$i_7,zero) = fmb_$i_6
% 92.59/13.67           & backward_box(fmb_$i_7,one) = one
% 92.59/13.67           & backward_box(fmb_$i_7,fmb_$i_3) = fmb_$i_6
% 92.59/13.67           & backward_box(fmb_$i_7,fmb_$i_4) = one
% 92.59/13.67           & backward_box(fmb_$i_7,fmb_$i_5) = one
% 92.59/13.67           & backward_box(fmb_$i_7,fmb_$i_6) = one
% 92.59/13.67           & backward_box(fmb_$i_7,fmb_$i_7) = one
% 92.59/13.67           & backward_box(fmb_$i_7,fmb_$i_8) = one
% 92.59/13.67           & backward_box(fmb_$i_8,zero) = fmb_$i_6
% 92.59/13.67           & backward_box(fmb_$i_8,one) = one
% 92.59/13.67           & backward_box(fmb_$i_8,fmb_$i_3) = fmb_$i_6
% 92.59/13.67           & backward_box(fmb_$i_8,fmb_$i_4) = one
% 92.59/13.67           & backward_box(fmb_$i_8,fmb_$i_5) = fmb_$i_6
% 92.59/13.67           & backward_box(fmb_$i_8,fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & backward_box(fmb_$i_8,fmb_$i_7) = fmb_$i_6
% 92.59/13.67           & backward_box(fmb_$i_8,fmb_$i_8) = one
% 92.59/13.67  
% 92.59/13.67  ).
% 92.59/13.67  
% 92.59/13.67  tff(declare_divergence,type,divergence: $i > $i).
% 92.59/13.67  tff(function_divergence,axiom,
% 92.59/13.67             divergence(zero) = zero
% 92.59/13.67           & divergence(one) = one
% 92.59/13.67           & divergence(fmb_$i_3) = fmb_$i_3
% 92.59/13.67           & divergence(fmb_$i_4) = one
% 92.59/13.67           & divergence(fmb_$i_5) = fmb_$i_6
% 92.59/13.67           & divergence(fmb_$i_6) = fmb_$i_6
% 92.59/13.67           & divergence(fmb_$i_7) = zero
% 92.59/13.67           & divergence(fmb_$i_8) = one
% 92.59/13.67  
% 92.59/13.67  ).
% 92.59/13.67  
% 92.59/13.67  tff(declare_star,type,star: $i > $i).
% 92.59/13.67  tff(function_star,axiom,
% 92.59/13.67             star(zero) = fmb_$i_4
% 92.59/13.67           & star(one) = fmb_$i_4
% 92.59/13.67           & star(fmb_$i_3) = one
% 92.59/13.67           & star(fmb_$i_4) = fmb_$i_8
% 92.59/13.67           & star(fmb_$i_5) = fmb_$i_8
% 92.59/13.67           & star(fmb_$i_6) = fmb_$i_8
% 92.59/13.67           & star(fmb_$i_7) = fmb_$i_4
% 92.59/13.67           & star(fmb_$i_8) = fmb_$i_4
% 92.59/13.67  
% 92.59/13.67  ).
% 92.59/13.67  
% 92.59/13.67  tff(declare_leq,type,leq: $i * $i > $o ).
% 92.59/13.67  tff(predicate_leq,axiom,
% 92.59/13.67             leq(zero,zero)
% 92.59/13.67           & leq(zero,one)
% 92.59/13.67           & leq(zero,fmb_$i_3)
% 92.59/13.67           & leq(zero,fmb_$i_4)
% 92.59/13.67           & leq(zero,fmb_$i_5)
% 92.59/13.67           & leq(zero,fmb_$i_6)
% 92.59/13.67           & leq(zero,fmb_$i_7)
% 92.59/13.67           & leq(zero,fmb_$i_8)
% 92.59/13.67           & ~leq(one,zero)
% 92.59/13.67           & leq(one,one)
% 92.59/13.67           & ~leq(one,fmb_$i_3)
% 92.59/13.67           & leq(one,fmb_$i_4)
% 92.59/13.67           & ~leq(one,fmb_$i_5)
% 92.59/13.67           & ~leq(one,fmb_$i_6)
% 92.59/13.67           & ~leq(one,fmb_$i_7)
% 92.59/13.67           & ~leq(one,fmb_$i_8)
% 92.59/13.67           & ~leq(fmb_$i_3,zero)
% 92.59/13.67           & leq(fmb_$i_3,one)
% 92.59/13.67           & leq(fmb_$i_3,fmb_$i_3)
% 92.59/13.67           & leq(fmb_$i_3,fmb_$i_4)
% 92.59/13.67           & ~leq(fmb_$i_3,fmb_$i_5)
% 92.59/13.67           & ~leq(fmb_$i_3,fmb_$i_6)
% 92.59/13.67           & ~leq(fmb_$i_3,fmb_$i_7)
% 92.59/13.67           & leq(fmb_$i_3,fmb_$i_8)
% 92.59/13.67           & ~leq(fmb_$i_4,zero)
% 92.59/13.67           & ~leq(fmb_$i_4,one)
% 92.59/13.67           & ~leq(fmb_$i_4,fmb_$i_3)
% 92.59/13.67           & leq(fmb_$i_4,fmb_$i_4)
% 92.59/13.67           & ~leq(fmb_$i_4,fmb_$i_5)
% 92.59/13.67           & ~leq(fmb_$i_4,fmb_$i_6)
% 92.59/13.67           & ~leq(fmb_$i_4,fmb_$i_7)
% 92.59/13.67           & ~leq(fmb_$i_4,fmb_$i_8)
% 92.59/13.67           & ~leq(fmb_$i_5,zero)
% 92.59/13.67           & ~leq(fmb_$i_5,one)
% 92.59/13.67           & ~leq(fmb_$i_5,fmb_$i_3)
% 92.59/13.67           & leq(fmb_$i_5,fmb_$i_4)
% 92.59/13.67           & leq(fmb_$i_5,fmb_$i_5)
% 92.59/13.67           & ~leq(fmb_$i_5,fmb_$i_6)
% 92.59/13.67           & ~leq(fmb_$i_5,fmb_$i_7)
% 92.59/13.67           & ~leq(fmb_$i_5,fmb_$i_8)
% 92.59/13.67           & ~leq(fmb_$i_6,zero)
% 92.59/13.67           & leq(fmb_$i_6,one)
% 92.59/13.67           & ~leq(fmb_$i_6,fmb_$i_3)
% 92.59/13.67           & leq(fmb_$i_6,fmb_$i_4)
% 92.59/13.67           & leq(fmb_$i_6,fmb_$i_5)
% 92.59/13.67           & leq(fmb_$i_6,fmb_$i_6)
% 92.59/13.67           & ~leq(fmb_$i_6,fmb_$i_7)
% 92.59/13.67           & ~leq(fmb_$i_6,fmb_$i_8)
% 92.59/13.67           & ~leq(fmb_$i_7,zero)
% 92.59/13.67           & ~leq(fmb_$i_7,one)
% 92.59/13.67           & ~leq(fmb_$i_7,fmb_$i_3)
% 92.59/13.67           & leq(fmb_$i_7,fmb_$i_4)
% 92.59/13.67           & leq(fmb_$i_7,fmb_$i_5)
% 92.59/13.67           & ~leq(fmb_$i_7,fmb_$i_6)
% 92.59/13.67           & leq(fmb_$i_7,fmb_$i_7)
% 92.59/13.67           & leq(fmb_$i_7,fmb_$i_8)
% 92.59/13.67           & ~leq(fmb_$i_8,zero)
% 92.59/13.67           & ~leq(fmb_$i_8,one)
% 92.59/13.67           & ~leq(fmb_$i_8,fmb_$i_3)
% 92.59/13.67           & leq(fmb_$i_8,fmb_$i_4)
% 92.59/13.67           & ~leq(fmb_$i_8,fmb_$i_5)
% 92.59/13.67           & ~leq(fmb_$i_8,fmb_$i_6)
% 92.59/13.67           & ~leq(fmb_$i_8,fmb_$i_7)
% 92.59/13.67           & leq(fmb_$i_8,fmb_$i_8)
% 92.59/13.67  
% 92.59/13.67  ).
% 92.59/13.67  
% 92.59/13.67  % SZS output end FiniteModel for Vampire---4
% 92.59/13.67  % (27201)------------------------------
% 92.59/13.67  % (27201)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 92.59/13.67  % (27201)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 92.59/13.67  % (27201)Termination reason: Satisfiable
% 92.59/13.67  
% 92.59/13.67  % (27201)Memory used [KB]: 239100
% 92.59/13.67  % (27201)Time elapsed: 13.227 s
% 92.59/13.67  % (27201)------------------------------
% 92.59/13.67  % (27201)------------------------------
% 92.59/13.67  % (27195)Success in time 13.203 s
% 92.59/13.67  27200 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.EkmQoe9A0x/Vampire---4.8_26975
% 92.59/13.67  % (27200)------------------------------
% 92.59/13.67  % (27200)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 92.59/13.67  % (27200)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 92.59/13.67  % (27200)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
% 92.59/13.67  
% 92.59/13.67  % (27200)Memory used [KB]: 139187
% 92.59/13.67  % (27200)Time elapsed: 13.238 s
% 92.59/13.67  % (27200)------------------------------
% 92.59/13.67  % (27200)------------------------------
% 92.59/13.67  % Vampire---4.8 exiting
%------------------------------------------------------------------------------