TSTP Solution File: LAT135-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LAT135-1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n005.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 17:10:59 EDT 2023

% Result   : Satisfiable 14.72s 2.53s
% Output   : FiniteModel 14.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14  % Problem    : LAT135-1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.35  % Computer : n005.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit   : 300
% 0.16/0.35  % WCLimit    : 300
% 0.16/0.35  % DateTime   : Wed Aug 30 14:23:53 EDT 2023
% 0.16/0.35  % CPUTime    : 
% 0.21/0.42  % (26894)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (26895)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  % (26898)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.42  % (26896)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  % (26897)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  % (26899)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  % (26901)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)
% 0.21/0.42  TRYING [1]
% 0.21/0.42  TRYING [2]
% 0.21/0.42  TRYING [1]
% 0.21/0.42  TRYING [2]
% 0.21/0.42  % (26900)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  TRYING [3]
% 0.21/0.43  TRYING [3]
% 0.21/0.44  TRYING [4]
% 0.21/0.45  TRYING [4]
% 0.21/0.47  TRYING [5]
% 0.21/0.55  TRYING [6]
% 0.21/0.57  TRYING [5]
% 2.89/0.86  TRYING [7]
% 5.47/1.27  TRYING [6]
% 7.19/1.48  TRYING [8]
% 7.81/1.52  TRYING [1]
% 7.81/1.52  TRYING [2]
% 7.81/1.52  TRYING [3]
% 7.81/1.54  TRYING [4]
% 7.81/1.58  TRYING [5]
% 9.14/1.73  TRYING [6]
% 12.01/2.15  TRYING [7]
% 14.72/2.53  Finite Model Found!
% 14.72/2.53  % SZS status Satisfiable for Vampire---4
% 14.72/2.53  % (26898)First to succeed.
% 14.72/2.54  % SZS output start FiniteModel for Vampire---4
% 14.72/2.54  tff(declare_$i,type,$i:$tType).
% 14.72/2.54  tff(declare_$i1,type,a:$i).
% 14.72/2.54  tff(declare_$i2,type,b:$i).
% 14.72/2.54  tff(declare_$i3,type,c:$i).
% 14.72/2.54  tff(declare_$i4,type,d:$i).
% 14.72/2.54  tff(declare_$i5,type,fmb_$i_5:$i).
% 14.72/2.54  tff(declare_$i6,type,fmb_$i_6:$i).
% 14.72/2.54  tff(declare_$i7,type,fmb_$i_7:$i).
% 14.72/2.54  tff(declare_$i8,type,fmb_$i_8:$i).
% 14.72/2.54  tff(finite_domain,axiom,
% 14.72/2.54        ! [X:$i] : (
% 14.72/2.54           X = a | X = b | X = c | X = d | X = fmb_$i_5 | 
% 14.72/2.54           X = fmb_$i_6 | X = fmb_$i_7 | X = fmb_$i_8
% 14.72/2.54        ) ).
% 14.72/2.54  
% 14.72/2.54  tff(distinct_domain,axiom,
% 14.72/2.54           a != b & a != c & a != d & a != fmb_$i_5 & a != fmb_$i_6 & 
% 14.72/2.54           a != fmb_$i_7 & a != fmb_$i_8 & b != c & b != d & b != fmb_$i_5 & 
% 14.72/2.54           b != fmb_$i_6 & b != fmb_$i_7 & b != fmb_$i_8 & c != d & c != fmb_$i_5 & 
% 14.72/2.54           c != fmb_$i_6 & c != fmb_$i_7 & c != fmb_$i_8 & d != fmb_$i_5 & d != fmb_$i_6 & 
% 14.72/2.54           d != fmb_$i_7 & d != fmb_$i_8 & fmb_$i_5 != fmb_$i_6 & fmb_$i_5 != fmb_$i_7 & fmb_$i_5 != fmb_$i_8 & 
% 14.72/2.54           fmb_$i_6 != fmb_$i_7 & fmb_$i_6 != fmb_$i_8 & fmb_$i_7 != fmb_$i_8
% 14.72/2.54  ).
% 14.72/2.54  
% 14.72/2.54  tff(declare_bool,type,$o:$tType).
% 14.72/2.54  tff(declare_bool1,type,fmb_bool_1:$o).
% 14.72/2.54  tff(finite_domain,axiom,
% 14.72/2.54        ! [X:$o] : (
% 14.72/2.54           X = fmb_bool_1
% 14.72/2.54        ) ).
% 14.72/2.54  
% 14.72/2.54  tff(declare_meet,type,meet: $i * $i > $i).
% 14.72/2.54  tff(function_meet,axiom,
% 14.72/2.54             meet(a,a) = a
% 14.72/2.54           & meet(a,b) = a
% 14.72/2.54           & meet(a,c) = fmb_$i_6
% 14.72/2.54           & meet(a,d) = fmb_$i_5
% 14.72/2.54           & meet(a,fmb_$i_5) = fmb_$i_5
% 14.72/2.54           & meet(a,fmb_$i_6) = fmb_$i_6
% 14.72/2.54           & meet(a,fmb_$i_7) = a
% 14.72/2.54           & meet(a,fmb_$i_8) = fmb_$i_5
% 14.72/2.54           & meet(b,a) = a
% 14.72/2.54           & meet(b,b) = b
% 14.72/2.54           & meet(b,c) = fmb_$i_6
% 14.72/2.54           & meet(b,d) = fmb_$i_5
% 14.72/2.54           & meet(b,fmb_$i_5) = fmb_$i_5
% 14.72/2.54           & meet(b,fmb_$i_6) = fmb_$i_6
% 14.72/2.54           & meet(b,fmb_$i_7) = b
% 14.72/2.54           & meet(b,fmb_$i_8) = fmb_$i_5
% 14.72/2.54           & meet(c,a) = fmb_$i_6
% 14.72/2.54           & meet(c,b) = fmb_$i_6
% 14.72/2.54           & meet(c,c) = c
% 14.72/2.54           & meet(c,d) = fmb_$i_8
% 14.72/2.54           & meet(c,fmb_$i_5) = fmb_$i_5
% 14.72/2.54           & meet(c,fmb_$i_6) = fmb_$i_6
% 14.72/2.54           & meet(c,fmb_$i_7) = c
% 14.72/2.54           & meet(c,fmb_$i_8) = fmb_$i_8
% 14.72/2.54           & meet(d,a) = fmb_$i_5
% 14.72/2.54           & meet(d,b) = fmb_$i_5
% 14.72/2.54           & meet(d,c) = fmb_$i_8
% 14.72/2.54           & meet(d,d) = d
% 14.72/2.54           & meet(d,fmb_$i_5) = fmb_$i_5
% 14.72/2.54           & meet(d,fmb_$i_6) = fmb_$i_5
% 14.72/2.54           & meet(d,fmb_$i_7) = d
% 14.72/2.54           & meet(d,fmb_$i_8) = fmb_$i_8
% 14.72/2.54           & meet(fmb_$i_5,a) = fmb_$i_5
% 14.72/2.54           & meet(fmb_$i_5,b) = fmb_$i_5
% 14.72/2.54           & meet(fmb_$i_5,c) = fmb_$i_5
% 14.72/2.54           & meet(fmb_$i_5,d) = fmb_$i_5
% 14.72/2.54           & meet(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 14.72/2.54           & meet(fmb_$i_5,fmb_$i_6) = fmb_$i_5
% 14.72/2.54           & meet(fmb_$i_5,fmb_$i_7) = fmb_$i_5
% 14.72/2.54           & meet(fmb_$i_5,fmb_$i_8) = fmb_$i_5
% 14.72/2.54           & meet(fmb_$i_6,a) = fmb_$i_6
% 14.72/2.54           & meet(fmb_$i_6,b) = fmb_$i_6
% 14.72/2.54           & meet(fmb_$i_6,c) = fmb_$i_6
% 14.72/2.54           & meet(fmb_$i_6,d) = fmb_$i_5
% 14.72/2.54           & meet(fmb_$i_6,fmb_$i_5) = fmb_$i_5
% 14.72/2.54           & meet(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 14.72/2.54           & meet(fmb_$i_6,fmb_$i_7) = fmb_$i_6
% 14.72/2.54           & meet(fmb_$i_6,fmb_$i_8) = fmb_$i_5
% 14.72/2.54           & meet(fmb_$i_7,a) = a
% 14.72/2.54           & meet(fmb_$i_7,b) = b
% 14.72/2.54           & meet(fmb_$i_7,c) = c
% 14.72/2.54           & meet(fmb_$i_7,d) = d
% 14.72/2.54           & meet(fmb_$i_7,fmb_$i_5) = fmb_$i_5
% 14.72/2.54           & meet(fmb_$i_7,fmb_$i_6) = fmb_$i_6
% 14.72/2.54           & meet(fmb_$i_7,fmb_$i_7) = fmb_$i_7
% 14.72/2.54           & meet(fmb_$i_7,fmb_$i_8) = fmb_$i_8
% 14.72/2.54           & meet(fmb_$i_8,a) = fmb_$i_5
% 14.72/2.54           & meet(fmb_$i_8,b) = fmb_$i_5
% 14.72/2.54           & meet(fmb_$i_8,c) = fmb_$i_8
% 14.72/2.54           & meet(fmb_$i_8,d) = fmb_$i_8
% 14.72/2.54           & meet(fmb_$i_8,fmb_$i_5) = fmb_$i_5
% 14.72/2.54           & meet(fmb_$i_8,fmb_$i_6) = fmb_$i_5
% 14.72/2.54           & meet(fmb_$i_8,fmb_$i_7) = fmb_$i_8
% 14.72/2.54           & meet(fmb_$i_8,fmb_$i_8) = fmb_$i_8
% 14.72/2.54  
% 14.72/2.54  ).
% 14.72/2.54  
% 14.72/2.54  tff(declare_join,type,join: $i * $i > $i).
% 14.72/2.54  tff(function_join,axiom,
% 14.72/2.54             join(a,a) = a
% 14.72/2.54           & join(a,b) = b
% 14.72/2.54           & join(a,c) = fmb_$i_7
% 14.72/2.54           & join(a,d) = fmb_$i_7
% 14.72/2.54           & join(a,fmb_$i_5) = a
% 14.72/2.54           & join(a,fmb_$i_6) = a
% 14.72/2.54           & join(a,fmb_$i_7) = fmb_$i_7
% 14.72/2.54           & join(a,fmb_$i_8) = fmb_$i_7
% 14.72/2.54           & join(b,a) = b
% 14.72/2.54           & join(b,b) = b
% 14.72/2.54           & join(b,c) = fmb_$i_7
% 14.72/2.54           & join(b,d) = fmb_$i_7
% 14.72/2.54           & join(b,fmb_$i_5) = b
% 14.72/2.54           & join(b,fmb_$i_6) = b
% 14.72/2.54           & join(b,fmb_$i_7) = fmb_$i_7
% 14.72/2.54           & join(b,fmb_$i_8) = fmb_$i_7
% 14.72/2.54           & join(c,a) = fmb_$i_7
% 14.72/2.54           & join(c,b) = fmb_$i_7
% 14.72/2.54           & join(c,c) = c
% 14.72/2.54           & join(c,d) = fmb_$i_7
% 14.72/2.54           & join(c,fmb_$i_5) = c
% 14.72/2.54           & join(c,fmb_$i_6) = c
% 14.72/2.54           & join(c,fmb_$i_7) = fmb_$i_7
% 14.72/2.54           & join(c,fmb_$i_8) = c
% 14.72/2.54           & join(d,a) = fmb_$i_7
% 14.72/2.54           & join(d,b) = fmb_$i_7
% 14.72/2.54           & join(d,c) = fmb_$i_7
% 14.72/2.54           & join(d,d) = d
% 14.72/2.54           & join(d,fmb_$i_5) = d
% 14.72/2.54           & join(d,fmb_$i_6) = fmb_$i_7
% 14.72/2.54           & join(d,fmb_$i_7) = fmb_$i_7
% 14.72/2.54           & join(d,fmb_$i_8) = d
% 14.72/2.54           & join(fmb_$i_5,a) = a
% 14.72/2.54           & join(fmb_$i_5,b) = b
% 14.72/2.54           & join(fmb_$i_5,c) = c
% 14.72/2.54           & join(fmb_$i_5,d) = d
% 14.72/2.54           & join(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 14.72/2.54           & join(fmb_$i_5,fmb_$i_6) = fmb_$i_6
% 14.72/2.54           & join(fmb_$i_5,fmb_$i_7) = fmb_$i_7
% 14.72/2.54           & join(fmb_$i_5,fmb_$i_8) = fmb_$i_8
% 14.72/2.54           & join(fmb_$i_6,a) = a
% 14.72/2.54           & join(fmb_$i_6,b) = b
% 14.72/2.54           & join(fmb_$i_6,c) = c
% 14.72/2.54           & join(fmb_$i_6,d) = fmb_$i_7
% 14.72/2.54           & join(fmb_$i_6,fmb_$i_5) = fmb_$i_6
% 14.72/2.54           & join(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 14.72/2.54           & join(fmb_$i_6,fmb_$i_7) = fmb_$i_7
% 14.72/2.54           & join(fmb_$i_6,fmb_$i_8) = c
% 14.72/2.54           & join(fmb_$i_7,a) = fmb_$i_7
% 14.72/2.54           & join(fmb_$i_7,b) = fmb_$i_7
% 14.72/2.54           & join(fmb_$i_7,c) = fmb_$i_7
% 14.72/2.54           & join(fmb_$i_7,d) = fmb_$i_7
% 14.72/2.54           & join(fmb_$i_7,fmb_$i_5) = fmb_$i_7
% 14.72/2.54           & join(fmb_$i_7,fmb_$i_6) = fmb_$i_7
% 14.72/2.54           & join(fmb_$i_7,fmb_$i_7) = fmb_$i_7
% 14.72/2.54           & join(fmb_$i_7,fmb_$i_8) = fmb_$i_7
% 14.72/2.54           & join(fmb_$i_8,a) = fmb_$i_7
% 14.72/2.54           & join(fmb_$i_8,b) = fmb_$i_7
% 14.72/2.54           & join(fmb_$i_8,c) = c
% 14.72/2.54           & join(fmb_$i_8,d) = d
% 14.72/2.54           & join(fmb_$i_8,fmb_$i_5) = fmb_$i_8
% 14.72/2.54           & join(fmb_$i_8,fmb_$i_6) = c
% 14.72/2.54           & join(fmb_$i_8,fmb_$i_7) = fmb_$i_7
% 14.72/2.54           & join(fmb_$i_8,fmb_$i_8) = fmb_$i_8
% 14.72/2.54  
% 14.72/2.54  ).
% 14.72/2.54  
% 14.72/2.54  % SZS output end FiniteModel for Vampire---4
% 14.72/2.54  % (26898)------------------------------
% 14.72/2.54  % (26898)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 14.72/2.54  % (26898)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 14.72/2.54  % (26898)Termination reason: Satisfiable
% 14.72/2.54  
% 14.72/2.54  % (26898)Memory used [KB]: 90318
% 14.72/2.54  % (26898)Time elapsed: 2.113 s
% 14.72/2.54  % (26898)------------------------------
% 14.72/2.54  % (26898)------------------------------
% 14.72/2.54  % (26894)Success in time 2.184 s
% 14.72/2.54  % Vampire---4.8 exiting
%------------------------------------------------------------------------------