TSTP Solution File: LAT063-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LAT063-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n023.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 : Tue Apr 30 13:20:33 EDT 2024

% Result   : Satisfiable 86.22s 12.74s
% Output   : FiniteModel 86.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LAT063-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Apr 29 22:02:55 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (7897)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (7900)WARNING: value z3 for option sas not known
% 0.14/0.37  % (7901)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (7898)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  % (7904)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 theBenchmark for (497ds/0Mi)
% 0.14/0.37  % (7902)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 theBenchmark for (531ds/0Mi)
% 0.14/0.37  % (7903)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 theBenchmark for (522ds/0Mi)
% 0.14/0.37  % (7900)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 theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (7899)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [2]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [3]
% 0.21/0.39  TRYING [4]
% 0.21/0.41  TRYING [4]
% 0.21/0.42  TRYING [5]
% 0.21/0.47  TRYING [5]
% 0.21/0.48  TRYING [6]
% 1.36/0.59  TRYING [7]
% 2.00/0.67  TRYING [6]
% 3.48/0.88  TRYING [8]
% 7.55/1.43  TRYING [7]
% 7.76/1.47  TRYING [1]
% 7.76/1.47  TRYING [2]
% 7.76/1.48  TRYING [3]
% 7.76/1.48  TRYING [4]
% 7.76/1.51  TRYING [5]
% 8.62/1.57  TRYING [9]
% 8.62/1.59  TRYING [6]
% 9.83/1.78  TRYING [7]
% 12.32/2.13  TRYING [8]
% 17.17/2.83  TRYING [10]
% 17.65/2.89  TRYING [9]
% 18.68/3.04  TRYING [8]
% 28.22/4.45  TRYING [10]
% 29.88/4.66  TRYING [11]
% 41.62/6.31  TRYING [11]
% 51.98/7.83  TRYING [12]
% 53.01/7.94  TRYING [9]
% 63.60/9.46  TRYING [12]
% 86.22/12.74  Finite Model Found!
% 86.22/12.74  % SZS status Satisfiable for theBenchmark
% 86.83/12.77  % (7901)First to succeed.
% 86.83/12.78  % SZS output start FiniteModel for theBenchmark
% 86.83/12.78  tff(declare_$i,type,$i:$tType).
% 86.83/12.78  tff(declare_$i1,type,n1:$i).
% 86.83/12.78  tff(declare_$i2,type,n0:$i).
% 86.83/12.78  tff(declare_$i3,type,a:$i).
% 86.83/12.78  tff(declare_$i4,type,b:$i).
% 86.83/12.78  tff(declare_$i5,type,fmb_$i_5:$i).
% 86.83/12.78  tff(declare_$i6,type,fmb_$i_6:$i).
% 86.83/12.78  tff(declare_$i7,type,fmb_$i_7:$i).
% 86.83/12.78  tff(declare_$i8,type,fmb_$i_8:$i).
% 86.83/12.78  tff(declare_$i9,type,fmb_$i_9:$i).
% 86.83/12.78  tff(declare_$i10,type,fmb_$i_10:$i).
% 86.83/12.78  tff(declare_$i11,type,fmb_$i_11:$i).
% 86.83/12.78  tff(declare_$i12,type,fmb_$i_12:$i).
% 86.83/12.78  tff(finite_domain,axiom,
% 86.83/12.78        ! [X:$i] : (
% 86.83/12.78           X = n1 | X = n0 | X = a | X = b | X = fmb_$i_5 | 
% 86.83/12.78           X = fmb_$i_6 | X = fmb_$i_7 | X = fmb_$i_8 | X = fmb_$i_9 | X = fmb_$i_10 | 
% 86.83/12.78           X = fmb_$i_11 | X = fmb_$i_12
% 86.83/12.78        ) ).
% 86.83/12.78  
% 86.83/12.78  tff(distinct_domain,axiom,
% 86.83/12.78           n1 != n0 & n1 != a & n1 != b & n1 != fmb_$i_5 & n1 != fmb_$i_6 & 
% 86.83/12.78           n1 != fmb_$i_7 & n1 != fmb_$i_8 & n1 != fmb_$i_9 & n1 != fmb_$i_10 & n1 != fmb_$i_11 & 
% 86.83/12.78           n1 != fmb_$i_12 & n0 != a & n0 != b & n0 != fmb_$i_5 & n0 != fmb_$i_6 & 
% 86.83/12.78           n0 != fmb_$i_7 & n0 != fmb_$i_8 & n0 != fmb_$i_9 & n0 != fmb_$i_10 & n0 != fmb_$i_11 & 
% 86.83/12.78           n0 != fmb_$i_12 & a != b & a != fmb_$i_5 & a != fmb_$i_6 & a != fmb_$i_7 & 
% 86.83/12.78           a != fmb_$i_8 & a != fmb_$i_9 & a != fmb_$i_10 & a != fmb_$i_11 & a != fmb_$i_12 & 
% 86.83/12.78           b != fmb_$i_5 & b != fmb_$i_6 & b != fmb_$i_7 & b != fmb_$i_8 & b != fmb_$i_9 & 
% 86.83/12.78           b != fmb_$i_10 & b != fmb_$i_11 & b != fmb_$i_12 & fmb_$i_5 != fmb_$i_6 & fmb_$i_5 != fmb_$i_7 & 
% 86.83/12.78           fmb_$i_5 != fmb_$i_8 & fmb_$i_5 != fmb_$i_9 & fmb_$i_5 != fmb_$i_10 & fmb_$i_5 != fmb_$i_11 & fmb_$i_5 != fmb_$i_12 & 
% 86.83/12.78           fmb_$i_6 != fmb_$i_7 & fmb_$i_6 != fmb_$i_8 & fmb_$i_6 != fmb_$i_9 & fmb_$i_6 != fmb_$i_10 & fmb_$i_6 != fmb_$i_11 & 
% 86.83/12.78           fmb_$i_6 != fmb_$i_12 & fmb_$i_7 != fmb_$i_8 & fmb_$i_7 != fmb_$i_9 & fmb_$i_7 != fmb_$i_10 & fmb_$i_7 != fmb_$i_11 & 
% 86.83/12.78           fmb_$i_7 != fmb_$i_12 & fmb_$i_8 != fmb_$i_9 & fmb_$i_8 != fmb_$i_10 & fmb_$i_8 != fmb_$i_11 & fmb_$i_8 != fmb_$i_12 & 
% 86.83/12.78           fmb_$i_9 != fmb_$i_10 & fmb_$i_9 != fmb_$i_11 & fmb_$i_9 != fmb_$i_12 & fmb_$i_10 != fmb_$i_11 & fmb_$i_10 != fmb_$i_12 & 
% 86.83/12.78           fmb_$i_11 != fmb_$i_12
% 86.83/12.78  ).
% 86.83/12.78  
% 86.83/12.78  tff(declare_bool,type,$o:$tType).
% 86.83/12.78  tff(declare_bool1,type,fmb_bool_1:$o).
% 86.83/12.78  tff(finite_domain,axiom,
% 86.83/12.78        ! [X:$o] : (
% 86.83/12.78           X = fmb_bool_1
% 86.83/12.78        ) ).
% 86.83/12.78  
% 86.83/12.78  tff(declare_join,type,join: $i * $i > $i).
% 86.83/12.78  tff(function_join,axiom,
% 86.83/12.78             join(n1,n1) = n1
% 86.83/12.78           & join(n1,n0) = n1
% 86.83/12.78           & join(n1,a) = n1
% 86.83/12.78           & join(n1,b) = n1
% 86.83/12.78           & join(n1,fmb_$i_5) = n1
% 86.83/12.78           & join(n1,fmb_$i_6) = n1
% 86.83/12.78           & join(n1,fmb_$i_7) = n1
% 86.83/12.78           & join(n1,fmb_$i_8) = n1
% 86.83/12.78           & join(n1,fmb_$i_9) = n1
% 86.83/12.78           & join(n1,fmb_$i_10) = n1
% 86.83/12.78           & join(n1,fmb_$i_11) = n1
% 86.83/12.78           & join(n1,fmb_$i_12) = n1
% 86.83/12.78           & join(n0,n1) = n1
% 86.83/12.78           & join(n0,n0) = n0
% 86.83/12.78           & join(n0,a) = a
% 86.83/12.78           & join(n0,b) = b
% 86.83/12.78           & join(n0,fmb_$i_5) = fmb_$i_5
% 86.83/12.78           & join(n0,fmb_$i_6) = fmb_$i_6
% 86.83/12.78           & join(n0,fmb_$i_7) = fmb_$i_7
% 86.83/12.78           & join(n0,fmb_$i_8) = fmb_$i_8
% 86.83/12.78           & join(n0,fmb_$i_9) = fmb_$i_9
% 86.83/12.78           & join(n0,fmb_$i_10) = fmb_$i_10
% 86.83/12.78           & join(n0,fmb_$i_11) = fmb_$i_11
% 86.83/12.78           & join(n0,fmb_$i_12) = fmb_$i_12
% 86.83/12.78           & join(a,n1) = n1
% 86.83/12.78           & join(a,n0) = a
% 86.83/12.78           & join(a,a) = a
% 86.83/12.78           & join(a,b) = n1
% 86.83/12.78           & join(a,fmb_$i_5) = n1
% 86.83/12.78           & join(a,fmb_$i_6) = n1
% 86.83/12.78           & join(a,fmb_$i_7) = n1
% 86.83/12.78           & join(a,fmb_$i_8) = a
% 86.83/12.78           & join(a,fmb_$i_9) = n1
% 86.83/12.78           & join(a,fmb_$i_10) = a
% 86.83/12.78           & join(a,fmb_$i_11) = n1
% 86.83/12.78           & join(a,fmb_$i_12) = a
% 86.83/12.78           & join(b,n1) = n1
% 86.83/12.78           & join(b,n0) = b
% 86.83/12.78           & join(b,a) = n1
% 86.83/12.78           & join(b,b) = b
% 86.83/12.78           & join(b,fmb_$i_5) = n1
% 86.83/12.78           & join(b,fmb_$i_6) = n1
% 86.83/12.78           & join(b,fmb_$i_7) = n1
% 86.83/12.78           & join(b,fmb_$i_8) = b
% 86.83/12.78           & join(b,fmb_$i_9) = n1
% 86.83/12.78           & join(b,fmb_$i_10) = n1
% 86.83/12.78           & join(b,fmb_$i_11) = n1
% 86.83/12.78           & join(b,fmb_$i_12) = n1
% 86.83/12.78           & join(fmb_$i_5,n1) = n1
% 86.83/12.78           & join(fmb_$i_5,n0) = fmb_$i_5
% 86.83/12.78           & join(fmb_$i_5,a) = n1
% 86.83/12.78           & join(fmb_$i_5,b) = n1
% 86.83/12.78           & join(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 86.83/12.78           & join(fmb_$i_5,fmb_$i_6) = fmb_$i_7
% 86.83/12.78           & join(fmb_$i_5,fmb_$i_7) = fmb_$i_7
% 86.83/12.78           & join(fmb_$i_5,fmb_$i_8) = fmb_$i_9
% 86.83/12.78           & join(fmb_$i_5,fmb_$i_9) = fmb_$i_9
% 86.83/12.78           & join(fmb_$i_5,fmb_$i_10) = fmb_$i_11
% 86.83/12.78           & join(fmb_$i_5,fmb_$i_11) = fmb_$i_11
% 86.83/12.78           & join(fmb_$i_5,fmb_$i_12) = fmb_$i_9
% 86.83/12.78           & join(fmb_$i_6,n1) = n1
% 86.83/12.78           & join(fmb_$i_6,n0) = fmb_$i_6
% 86.83/12.78           & join(fmb_$i_6,a) = n1
% 86.83/12.78           & join(fmb_$i_6,b) = n1
% 86.83/12.78           & join(fmb_$i_6,fmb_$i_5) = fmb_$i_7
% 86.83/12.78           & join(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 86.83/12.78           & join(fmb_$i_6,fmb_$i_7) = fmb_$i_7
% 86.83/12.78           & join(fmb_$i_6,fmb_$i_8) = n1
% 86.83/12.78           & join(fmb_$i_6,fmb_$i_9) = n1
% 86.83/12.78           & join(fmb_$i_6,fmb_$i_10) = fmb_$i_7
% 86.83/12.78           & join(fmb_$i_6,fmb_$i_11) = fmb_$i_7
% 86.83/12.78           & join(fmb_$i_6,fmb_$i_12) = n1
% 86.83/12.78           & join(fmb_$i_7,n1) = n1
% 86.83/12.78           & join(fmb_$i_7,n0) = fmb_$i_7
% 86.83/12.78           & join(fmb_$i_7,a) = n1
% 86.83/12.78           & join(fmb_$i_7,b) = n1
% 86.83/12.78           & join(fmb_$i_7,fmb_$i_5) = fmb_$i_7
% 86.83/12.78           & join(fmb_$i_7,fmb_$i_6) = fmb_$i_7
% 86.83/12.78           & join(fmb_$i_7,fmb_$i_7) = fmb_$i_7
% 86.83/12.78           & join(fmb_$i_7,fmb_$i_8) = n1
% 86.83/12.78           & join(fmb_$i_7,fmb_$i_9) = n1
% 86.83/12.78           & join(fmb_$i_7,fmb_$i_10) = fmb_$i_7
% 86.83/12.78           & join(fmb_$i_7,fmb_$i_11) = fmb_$i_7
% 86.83/12.78           & join(fmb_$i_7,fmb_$i_12) = n1
% 86.83/12.78           & join(fmb_$i_8,n1) = n1
% 86.83/12.78           & join(fmb_$i_8,n0) = fmb_$i_8
% 86.83/12.78           & join(fmb_$i_8,a) = a
% 86.83/12.78           & join(fmb_$i_8,b) = b
% 86.83/12.78           & join(fmb_$i_8,fmb_$i_5) = fmb_$i_9
% 86.83/12.78           & join(fmb_$i_8,fmb_$i_6) = n1
% 86.83/12.78           & join(fmb_$i_8,fmb_$i_7) = n1
% 86.83/12.78           & join(fmb_$i_8,fmb_$i_8) = fmb_$i_8
% 86.83/12.78           & join(fmb_$i_8,fmb_$i_9) = fmb_$i_9
% 86.83/12.78           & join(fmb_$i_8,fmb_$i_10) = a
% 86.83/12.78           & join(fmb_$i_8,fmb_$i_11) = n1
% 86.83/12.78           & join(fmb_$i_8,fmb_$i_12) = fmb_$i_12
% 86.83/12.78           & join(fmb_$i_9,n1) = n1
% 86.83/12.78           & join(fmb_$i_9,n0) = fmb_$i_9
% 86.83/12.78           & join(fmb_$i_9,a) = n1
% 86.83/12.78           & join(fmb_$i_9,b) = n1
% 86.83/12.78           & join(fmb_$i_9,fmb_$i_5) = fmb_$i_9
% 86.83/12.78           & join(fmb_$i_9,fmb_$i_6) = n1
% 86.83/12.78           & join(fmb_$i_9,fmb_$i_7) = n1
% 86.83/12.78           & join(fmb_$i_9,fmb_$i_8) = fmb_$i_9
% 86.83/12.78           & join(fmb_$i_9,fmb_$i_9) = fmb_$i_9
% 86.83/12.78           & join(fmb_$i_9,fmb_$i_10) = n1
% 86.83/12.78           & join(fmb_$i_9,fmb_$i_11) = n1
% 86.83/12.78           & join(fmb_$i_9,fmb_$i_12) = fmb_$i_9
% 86.83/12.78           & join(fmb_$i_10,n1) = n1
% 86.83/12.78           & join(fmb_$i_10,n0) = fmb_$i_10
% 86.83/12.78           & join(fmb_$i_10,a) = a
% 86.83/12.78           & join(fmb_$i_10,b) = n1
% 86.83/12.78           & join(fmb_$i_10,fmb_$i_5) = fmb_$i_11
% 86.83/12.78           & join(fmb_$i_10,fmb_$i_6) = fmb_$i_7
% 86.83/12.78           & join(fmb_$i_10,fmb_$i_7) = fmb_$i_7
% 86.83/12.78           & join(fmb_$i_10,fmb_$i_8) = a
% 86.83/12.78           & join(fmb_$i_10,fmb_$i_9) = n1
% 86.83/12.78           & join(fmb_$i_10,fmb_$i_10) = fmb_$i_10
% 86.83/12.78           & join(fmb_$i_10,fmb_$i_11) = fmb_$i_11
% 86.83/12.78           & join(fmb_$i_10,fmb_$i_12) = a
% 86.83/12.78           & join(fmb_$i_11,n1) = n1
% 86.83/12.78           & join(fmb_$i_11,n0) = fmb_$i_11
% 86.83/12.78           & join(fmb_$i_11,a) = n1
% 86.83/12.78           & join(fmb_$i_11,b) = n1
% 86.83/12.78           & join(fmb_$i_11,fmb_$i_5) = fmb_$i_11
% 86.83/12.78           & join(fmb_$i_11,fmb_$i_6) = fmb_$i_7
% 86.83/12.78           & join(fmb_$i_11,fmb_$i_7) = fmb_$i_7
% 86.83/12.78           & join(fmb_$i_11,fmb_$i_8) = n1
% 86.83/12.78           & join(fmb_$i_11,fmb_$i_9) = n1
% 86.83/12.78           & join(fmb_$i_11,fmb_$i_10) = fmb_$i_11
% 86.83/12.78           & join(fmb_$i_11,fmb_$i_11) = fmb_$i_11
% 86.83/12.78           & join(fmb_$i_11,fmb_$i_12) = n1
% 86.83/12.78           & join(fmb_$i_12,n1) = n1
% 86.83/12.78           & join(fmb_$i_12,n0) = fmb_$i_12
% 86.83/12.78           & join(fmb_$i_12,a) = a
% 86.83/12.78           & join(fmb_$i_12,b) = n1
% 86.83/12.78           & join(fmb_$i_12,fmb_$i_5) = fmb_$i_9
% 86.83/12.78           & join(fmb_$i_12,fmb_$i_6) = n1
% 86.83/12.78           & join(fmb_$i_12,fmb_$i_7) = n1
% 86.83/12.78           & join(fmb_$i_12,fmb_$i_8) = fmb_$i_12
% 86.83/12.78           & join(fmb_$i_12,fmb_$i_9) = fmb_$i_9
% 86.83/12.78           & join(fmb_$i_12,fmb_$i_10) = a
% 86.83/12.78           & join(fmb_$i_12,fmb_$i_11) = n1
% 86.83/12.78           & join(fmb_$i_12,fmb_$i_12) = fmb_$i_12
% 86.83/12.78  
% 86.83/12.78  ).
% 86.83/12.78  
% 86.83/12.78  tff(declare_complement,type,complement: $i > $i).
% 86.83/12.78  tff(function_complement,axiom,
% 86.83/12.78             complement(n1) = n0
% 86.83/12.78           & complement(n0) = n1
% 86.83/12.78           & complement(a) = fmb_$i_5
% 86.83/12.78           & complement(b) = fmb_$i_6
% 86.83/12.78           & complement(fmb_$i_5) = a
% 86.83/12.78           & complement(fmb_$i_6) = b
% 86.83/12.78           & complement(fmb_$i_7) = fmb_$i_8
% 86.83/12.78           & complement(fmb_$i_8) = fmb_$i_7
% 86.83/12.78           & complement(fmb_$i_9) = fmb_$i_10
% 86.83/12.78           & complement(fmb_$i_10) = fmb_$i_9
% 86.83/12.78           & complement(fmb_$i_11) = fmb_$i_12
% 86.83/12.78           & complement(fmb_$i_12) = fmb_$i_11
% 86.83/12.78  
% 86.83/12.78  ).
% 86.83/12.78  
% 86.83/12.78  % SZS output end FiniteModel for theBenchmark
% 86.83/12.78  % (7901)------------------------------
% 86.83/12.78  % (7901)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 86.83/12.78  % (7901)Termination reason: Satisfiable
% 86.83/12.78  
% 86.83/12.78  % (7901)Memory used [KB]: 61743
% 86.83/12.78  % (7901)Time elapsed: 12.402 s
% 86.83/12.78  % (7901)Instructions burned: 32834 (million)
% 86.83/12.78  % (7901)------------------------------
% 86.83/12.78  % (7901)------------------------------
% 86.83/12.78  % (7897)Success in time 12.394 s
%------------------------------------------------------------------------------