TSTP Solution File: LAT134-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LAT134-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n024.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 13:20:48 EDT 2024

% Result   : Satisfiable 68.96s 12.60s
% Output   : FiniteModel 69.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : LAT134-1 : TPTP v8.1.2. Released v3.1.0.
% 0.05/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31  % Computer : n024.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Apr 29 21:26:21 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  % (21585)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33  % (21590)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)
% 0.15/0.33  % (21591)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)
% 0.15/0.33  % (21592)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)
% 0.15/0.33  % (21589)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33  TRYING [1]
% 0.15/0.33  TRYING [2]
% 0.15/0.33  TRYING [3]
% 0.15/0.34  % (21588)WARNING: value z3 for option sas not known
% 0.15/0.34  % (21588)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)
% 0.15/0.34  % (21587)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.34  TRYING [4]
% 0.15/0.35  % (21586)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.36  TRYING [1]
% 0.15/0.36  TRYING [2]
% 0.15/0.37  TRYING [3]
% 0.15/0.39  TRYING [5]
% 0.15/0.44  TRYING [4]
% 1.26/0.56  TRYING [6]
% 1.80/0.68  TRYING [5]
% 3.55/1.06  TRYING [7]
% 5.43/1.44  TRYING [1]
% 5.43/1.44  TRYING [2]
% 5.43/1.44  TRYING [3]
% 5.72/1.48  TRYING [4]
% 6.16/1.56  TRYING [6]
% 6.16/1.62  TRYING [5]
% 9.03/2.19  TRYING [6]
% 10.83/2.55  TRYING [8]
% 17.64/3.93  TRYING [7]
% 21.79/4.71  TRYING [7]
% 27.90/5.73  TRYING [9]
% 32.76/6.57  TRYING [8]
% 51.93/9.78  TRYING [8]
% 56.13/10.49  TRYING [9]
% 68.96/12.60  Finite Model Found!
% 68.96/12.60  % SZS status Satisfiable for theBenchmark
% 69.11/12.64  % (21589)First to succeed.
% 69.11/12.65  % SZS output start FiniteModel for theBenchmark
% 69.11/12.65  tff(declare_$i,type,$i:$tType).
% 69.11/12.65  tff(declare_$i1,type,a:$i).
% 69.11/12.65  tff(declare_$i2,type,b:$i).
% 69.11/12.65  tff(declare_$i3,type,c:$i).
% 69.11/12.65  tff(declare_$i4,type,fmb_$i_4:$i).
% 69.11/12.65  tff(declare_$i5,type,fmb_$i_5:$i).
% 69.11/12.65  tff(declare_$i6,type,fmb_$i_6:$i).
% 69.11/12.65  tff(declare_$i7,type,fmb_$i_7:$i).
% 69.11/12.65  tff(declare_$i8,type,fmb_$i_8:$i).
% 69.11/12.65  tff(declare_$i9,type,fmb_$i_9:$i).
% 69.11/12.65  tff(finite_domain,axiom,
% 69.11/12.65        ! [X:$i] : (
% 69.11/12.65           X = a | X = b | X = c | X = fmb_$i_4 | X = fmb_$i_5 | 
% 69.11/12.65           X = fmb_$i_6 | X = fmb_$i_7 | X = fmb_$i_8 | X = fmb_$i_9
% 69.11/12.65        ) ).
% 69.11/12.65  
% 69.11/12.65  tff(distinct_domain,axiom,
% 69.11/12.65           a != b & a != c & a != fmb_$i_4 & a != fmb_$i_5 & a != fmb_$i_6 & 
% 69.11/12.65           a != fmb_$i_7 & a != fmb_$i_8 & a != fmb_$i_9 & b != c & b != fmb_$i_4 & 
% 69.11/12.65           b != fmb_$i_5 & b != fmb_$i_6 & b != fmb_$i_7 & b != fmb_$i_8 & b != fmb_$i_9 & 
% 69.11/12.65           c != fmb_$i_4 & c != fmb_$i_5 & c != fmb_$i_6 & c != fmb_$i_7 & c != fmb_$i_8 & 
% 69.11/12.65           c != fmb_$i_9 & fmb_$i_4 != fmb_$i_5 & fmb_$i_4 != fmb_$i_6 & fmb_$i_4 != fmb_$i_7 & fmb_$i_4 != fmb_$i_8 & 
% 69.11/12.65           fmb_$i_4 != fmb_$i_9 & fmb_$i_5 != fmb_$i_6 & fmb_$i_5 != fmb_$i_7 & fmb_$i_5 != fmb_$i_8 & fmb_$i_5 != fmb_$i_9 & 
% 69.11/12.65           fmb_$i_6 != fmb_$i_7 & fmb_$i_6 != fmb_$i_8 & fmb_$i_6 != fmb_$i_9 & fmb_$i_7 != fmb_$i_8 & fmb_$i_7 != fmb_$i_9 & 
% 69.11/12.65           fmb_$i_8 != fmb_$i_9
% 69.11/12.65  ).
% 69.11/12.65  
% 69.11/12.65  tff(declare_bool,type,$o:$tType).
% 69.11/12.65  tff(declare_bool1,type,fmb_bool_1:$o).
% 69.11/12.65  tff(finite_domain,axiom,
% 69.11/12.65        ! [X:$o] : (
% 69.11/12.65           X = fmb_bool_1
% 69.11/12.65        ) ).
% 69.11/12.65  
% 69.11/12.65  tff(declare_meet,type,meet: $i * $i > $i).
% 69.11/12.65  tff(function_meet,axiom,
% 69.11/12.65             meet(a,a) = a
% 69.11/12.65           & meet(a,b) = fmb_$i_7
% 69.11/12.65           & meet(a,c) = fmb_$i_6
% 69.11/12.65           & meet(a,fmb_$i_4) = a
% 69.11/12.65           & meet(a,fmb_$i_5) = a
% 69.11/12.65           & meet(a,fmb_$i_6) = fmb_$i_6
% 69.11/12.65           & meet(a,fmb_$i_7) = fmb_$i_7
% 69.11/12.65           & meet(a,fmb_$i_8) = fmb_$i_7
% 69.11/12.65           & meet(a,fmb_$i_9) = fmb_$i_7
% 69.11/12.65           & meet(b,a) = fmb_$i_7
% 69.11/12.65           & meet(b,b) = b
% 69.11/12.65           & meet(b,c) = fmb_$i_6
% 69.11/12.65           & meet(b,fmb_$i_4) = b
% 69.11/12.65           & meet(b,fmb_$i_5) = b
% 69.11/12.65           & meet(b,fmb_$i_6) = fmb_$i_6
% 69.11/12.65           & meet(b,fmb_$i_7) = fmb_$i_7
% 69.11/12.65           & meet(b,fmb_$i_8) = fmb_$i_7
% 69.11/12.65           & meet(b,fmb_$i_9) = fmb_$i_7
% 69.11/12.65           & meet(c,a) = fmb_$i_6
% 69.11/12.65           & meet(c,b) = fmb_$i_6
% 69.11/12.65           & meet(c,c) = c
% 69.11/12.65           & meet(c,fmb_$i_4) = fmb_$i_6
% 69.11/12.65           & meet(c,fmb_$i_5) = c
% 69.11/12.65           & meet(c,fmb_$i_6) = fmb_$i_6
% 69.11/12.65           & meet(c,fmb_$i_7) = fmb_$i_6
% 69.11/12.65           & meet(c,fmb_$i_8) = c
% 69.11/12.65           & meet(c,fmb_$i_9) = fmb_$i_6
% 69.11/12.65           & meet(fmb_$i_4,a) = a
% 69.11/12.65           & meet(fmb_$i_4,b) = b
% 69.11/12.65           & meet(fmb_$i_4,c) = fmb_$i_6
% 69.11/12.65           & meet(fmb_$i_4,fmb_$i_4) = fmb_$i_4
% 69.11/12.65           & meet(fmb_$i_4,fmb_$i_5) = fmb_$i_4
% 69.11/12.65           & meet(fmb_$i_4,fmb_$i_6) = fmb_$i_6
% 69.11/12.65           & meet(fmb_$i_4,fmb_$i_7) = fmb_$i_7
% 69.11/12.65           & meet(fmb_$i_4,fmb_$i_8) = fmb_$i_9
% 69.11/12.65           & meet(fmb_$i_4,fmb_$i_9) = fmb_$i_9
% 69.11/12.65           & meet(fmb_$i_5,a) = a
% 69.11/12.65           & meet(fmb_$i_5,b) = b
% 69.11/12.65           & meet(fmb_$i_5,c) = c
% 69.11/12.65           & meet(fmb_$i_5,fmb_$i_4) = fmb_$i_4
% 69.11/12.65           & meet(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 69.11/12.65           & meet(fmb_$i_5,fmb_$i_6) = fmb_$i_6
% 69.11/12.65           & meet(fmb_$i_5,fmb_$i_7) = fmb_$i_7
% 69.11/12.65           & meet(fmb_$i_5,fmb_$i_8) = fmb_$i_8
% 69.11/12.65           & meet(fmb_$i_5,fmb_$i_9) = fmb_$i_9
% 69.11/12.65           & meet(fmb_$i_6,a) = fmb_$i_6
% 69.11/12.65           & meet(fmb_$i_6,b) = fmb_$i_6
% 69.11/12.65           & meet(fmb_$i_6,c) = fmb_$i_6
% 69.11/12.65           & meet(fmb_$i_6,fmb_$i_4) = fmb_$i_6
% 69.11/12.65           & meet(fmb_$i_6,fmb_$i_5) = fmb_$i_6
% 69.11/12.65           & meet(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 69.11/12.65           & meet(fmb_$i_6,fmb_$i_7) = fmb_$i_6
% 69.11/12.65           & meet(fmb_$i_6,fmb_$i_8) = fmb_$i_6
% 69.11/12.65           & meet(fmb_$i_6,fmb_$i_9) = fmb_$i_6
% 69.11/12.65           & meet(fmb_$i_7,a) = fmb_$i_7
% 69.11/12.65           & meet(fmb_$i_7,b) = fmb_$i_7
% 69.11/12.65           & meet(fmb_$i_7,c) = fmb_$i_6
% 69.11/12.65           & meet(fmb_$i_7,fmb_$i_4) = fmb_$i_7
% 69.11/12.65           & meet(fmb_$i_7,fmb_$i_5) = fmb_$i_7
% 69.11/12.65           & meet(fmb_$i_7,fmb_$i_6) = fmb_$i_6
% 69.11/12.65           & meet(fmb_$i_7,fmb_$i_7) = fmb_$i_7
% 69.11/12.65           & meet(fmb_$i_7,fmb_$i_8) = fmb_$i_7
% 69.11/12.65           & meet(fmb_$i_7,fmb_$i_9) = fmb_$i_7
% 69.11/12.65           & meet(fmb_$i_8,a) = fmb_$i_7
% 69.11/12.65           & meet(fmb_$i_8,b) = fmb_$i_7
% 69.11/12.65           & meet(fmb_$i_8,c) = c
% 69.11/12.65           & meet(fmb_$i_8,fmb_$i_4) = fmb_$i_9
% 69.11/12.65           & meet(fmb_$i_8,fmb_$i_5) = fmb_$i_8
% 69.11/12.65           & meet(fmb_$i_8,fmb_$i_6) = fmb_$i_6
% 69.11/12.65           & meet(fmb_$i_8,fmb_$i_7) = fmb_$i_7
% 69.11/12.65           & meet(fmb_$i_8,fmb_$i_8) = fmb_$i_8
% 69.11/12.65           & meet(fmb_$i_8,fmb_$i_9) = fmb_$i_9
% 69.11/12.65           & meet(fmb_$i_9,a) = fmb_$i_7
% 69.11/12.65           & meet(fmb_$i_9,b) = fmb_$i_7
% 69.11/12.65           & meet(fmb_$i_9,c) = fmb_$i_6
% 69.11/12.65           & meet(fmb_$i_9,fmb_$i_4) = fmb_$i_9
% 69.11/12.65           & meet(fmb_$i_9,fmb_$i_5) = fmb_$i_9
% 69.11/12.65           & meet(fmb_$i_9,fmb_$i_6) = fmb_$i_6
% 69.11/12.65           & meet(fmb_$i_9,fmb_$i_7) = fmb_$i_7
% 69.11/12.65           & meet(fmb_$i_9,fmb_$i_8) = fmb_$i_9
% 69.11/12.65           & meet(fmb_$i_9,fmb_$i_9) = fmb_$i_9
% 69.11/12.65  
% 69.11/12.65  ).
% 69.11/12.65  
% 69.11/12.65  tff(declare_join,type,join: $i * $i > $i).
% 69.11/12.65  tff(function_join,axiom,
% 69.11/12.65             join(a,a) = a
% 69.11/12.65           & join(a,b) = fmb_$i_4
% 69.11/12.65           & join(a,c) = fmb_$i_5
% 69.11/12.65           & join(a,fmb_$i_4) = fmb_$i_4
% 69.11/12.65           & join(a,fmb_$i_5) = fmb_$i_5
% 69.11/12.65           & join(a,fmb_$i_6) = a
% 69.11/12.65           & join(a,fmb_$i_7) = a
% 69.11/12.65           & join(a,fmb_$i_8) = fmb_$i_5
% 69.11/12.65           & join(a,fmb_$i_9) = fmb_$i_4
% 69.11/12.65           & join(b,a) = fmb_$i_4
% 69.11/12.65           & join(b,b) = b
% 69.11/12.65           & join(b,c) = fmb_$i_5
% 69.11/12.65           & join(b,fmb_$i_4) = fmb_$i_4
% 69.11/12.65           & join(b,fmb_$i_5) = fmb_$i_5
% 69.11/12.65           & join(b,fmb_$i_6) = b
% 69.11/12.65           & join(b,fmb_$i_7) = b
% 69.11/12.65           & join(b,fmb_$i_8) = fmb_$i_5
% 69.11/12.65           & join(b,fmb_$i_9) = fmb_$i_4
% 69.11/12.65           & join(c,a) = fmb_$i_5
% 69.11/12.65           & join(c,b) = fmb_$i_5
% 69.11/12.65           & join(c,c) = c
% 69.11/12.65           & join(c,fmb_$i_4) = fmb_$i_5
% 69.11/12.65           & join(c,fmb_$i_5) = fmb_$i_5
% 69.11/12.65           & join(c,fmb_$i_6) = c
% 69.11/12.65           & join(c,fmb_$i_7) = fmb_$i_8
% 69.11/12.65           & join(c,fmb_$i_8) = fmb_$i_8
% 69.11/12.65           & join(c,fmb_$i_9) = fmb_$i_8
% 69.11/12.65           & join(fmb_$i_4,a) = fmb_$i_4
% 69.11/12.65           & join(fmb_$i_4,b) = fmb_$i_4
% 69.11/12.65           & join(fmb_$i_4,c) = fmb_$i_5
% 69.11/12.65           & join(fmb_$i_4,fmb_$i_4) = fmb_$i_4
% 69.11/12.65           & join(fmb_$i_4,fmb_$i_5) = fmb_$i_5
% 69.11/12.65           & join(fmb_$i_4,fmb_$i_6) = fmb_$i_4
% 69.11/12.65           & join(fmb_$i_4,fmb_$i_7) = fmb_$i_4
% 69.11/12.65           & join(fmb_$i_4,fmb_$i_8) = fmb_$i_5
% 69.11/12.65           & join(fmb_$i_4,fmb_$i_9) = fmb_$i_4
% 69.11/12.65           & join(fmb_$i_5,a) = fmb_$i_5
% 69.11/12.65           & join(fmb_$i_5,b) = fmb_$i_5
% 69.11/12.65           & join(fmb_$i_5,c) = fmb_$i_5
% 69.11/12.65           & join(fmb_$i_5,fmb_$i_4) = fmb_$i_5
% 69.11/12.65           & join(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 69.11/12.65           & join(fmb_$i_5,fmb_$i_6) = fmb_$i_5
% 69.11/12.65           & join(fmb_$i_5,fmb_$i_7) = fmb_$i_5
% 69.11/12.65           & join(fmb_$i_5,fmb_$i_8) = fmb_$i_5
% 69.11/12.65           & join(fmb_$i_5,fmb_$i_9) = fmb_$i_5
% 69.11/12.65           & join(fmb_$i_6,a) = a
% 69.11/12.65           & join(fmb_$i_6,b) = b
% 69.11/12.65           & join(fmb_$i_6,c) = c
% 69.11/12.65           & join(fmb_$i_6,fmb_$i_4) = fmb_$i_4
% 69.11/12.65           & join(fmb_$i_6,fmb_$i_5) = fmb_$i_5
% 69.11/12.65           & join(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 69.11/12.65           & join(fmb_$i_6,fmb_$i_7) = fmb_$i_7
% 69.11/12.65           & join(fmb_$i_6,fmb_$i_8) = fmb_$i_8
% 69.11/12.65           & join(fmb_$i_6,fmb_$i_9) = fmb_$i_9
% 69.11/12.65           & join(fmb_$i_7,a) = a
% 69.11/12.65           & join(fmb_$i_7,b) = b
% 69.11/12.65           & join(fmb_$i_7,c) = fmb_$i_8
% 69.11/12.65           & join(fmb_$i_7,fmb_$i_4) = fmb_$i_4
% 69.11/12.65           & join(fmb_$i_7,fmb_$i_5) = fmb_$i_5
% 69.11/12.65           & join(fmb_$i_7,fmb_$i_6) = fmb_$i_7
% 69.11/12.65           & join(fmb_$i_7,fmb_$i_7) = fmb_$i_7
% 69.11/12.65           & join(fmb_$i_7,fmb_$i_8) = fmb_$i_8
% 69.11/12.65           & join(fmb_$i_7,fmb_$i_9) = fmb_$i_9
% 69.11/12.65           & join(fmb_$i_8,a) = fmb_$i_5
% 69.11/12.65           & join(fmb_$i_8,b) = fmb_$i_5
% 69.11/12.65           & join(fmb_$i_8,c) = fmb_$i_8
% 69.11/12.65           & join(fmb_$i_8,fmb_$i_4) = fmb_$i_5
% 69.11/12.65           & join(fmb_$i_8,fmb_$i_5) = fmb_$i_5
% 69.11/12.65           & join(fmb_$i_8,fmb_$i_6) = fmb_$i_8
% 69.11/12.65           & join(fmb_$i_8,fmb_$i_7) = fmb_$i_8
% 69.11/12.65           & join(fmb_$i_8,fmb_$i_8) = fmb_$i_8
% 69.11/12.65           & join(fmb_$i_8,fmb_$i_9) = fmb_$i_8
% 69.11/12.65           & join(fmb_$i_9,a) = fmb_$i_4
% 69.11/12.65           & join(fmb_$i_9,b) = fmb_$i_4
% 69.11/12.65           & join(fmb_$i_9,c) = fmb_$i_8
% 69.11/12.65           & join(fmb_$i_9,fmb_$i_4) = fmb_$i_4
% 69.11/12.65           & join(fmb_$i_9,fmb_$i_5) = fmb_$i_5
% 69.11/12.65           & join(fmb_$i_9,fmb_$i_6) = fmb_$i_9
% 69.11/12.65           & join(fmb_$i_9,fmb_$i_7) = fmb_$i_9
% 69.11/12.65           & join(fmb_$i_9,fmb_$i_8) = fmb_$i_8
% 69.11/12.65           & join(fmb_$i_9,fmb_$i_9) = fmb_$i_9
% 69.11/12.65  
% 69.11/12.65  ).
% 69.11/12.65  
% 69.11/12.65  % SZS output end FiniteModel for theBenchmark
% 69.11/12.65  % (21589)------------------------------
% 69.11/12.65  % (21589)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 69.11/12.65  % (21589)Termination reason: Satisfiable
% 69.11/12.65  
% 69.11/12.65  % (21589)Memory used [KB]: 71495
% 69.11/12.65  % (21589)Time elapsed: 12.312 s
% 69.11/12.65  % (21589)Instructions burned: 30494 (million)
% 69.11/12.65  % (21589)------------------------------
% 69.11/12.65  % (21589)------------------------------
% 69.11/12.65  % (21585)Success in time 12.272 s
%------------------------------------------------------------------------------