TSTP Solution File: LAT133-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LAT133-1 : 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 : Sun May  5 07:26:01 EDT 2024

% Result   : Satisfiable 20.01s 3.23s
% Output   : FiniteModel 20.28s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : LAT133-1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n024.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 12:25:20 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.37  % (27116)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (27119)WARNING: value z3 for option sas not known
% 0.22/0.38  % (27117)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38  % (27119)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)
% 0.22/0.38  % (27120)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38  % (27121)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)
% 0.22/0.38  % (27122)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)
% 0.22/0.38  % (27118)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38  % (27123)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)
% 0.22/0.38  TRYING [1]
% 0.22/0.38  TRYING [2]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.40  TRYING [3]
% 0.22/0.40  TRYING [4]
% 0.22/0.43  TRYING [4]
% 0.22/0.44  TRYING [5]
% 1.30/0.53  TRYING [6]
% 1.30/0.54  TRYING [5]
% 2.31/0.69  TRYING [7]
% 2.89/0.80  TRYING [6]
% 5.55/1.16  TRYING [8]
% 7.92/1.49  TRYING [1]
% 7.92/1.49  TRYING [2]
% 7.92/1.49  TRYING [3]
% 7.92/1.50  TRYING [4]
% 7.92/1.52  TRYING [5]
% 8.47/1.61  TRYING [6]
% 10.03/1.78  TRYING [7]
% 10.29/1.83  TRYING [7]
% 10.43/1.91  TRYING [9]
% 13.72/2.32  TRYING [8]
% 20.01/3.23  Finite Model Found!
% 20.01/3.23  % SZS status Satisfiable for theBenchmark
% 20.28/3.25  % (27120)First to succeed.
% 20.28/3.25  % (27120)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27116"
% 20.28/3.25  % SZS output start FiniteModel for theBenchmark
% 20.28/3.25  tff(declare_$i,type,$i:$tType).
% 20.28/3.25  tff(declare_$i1,type,a:$i).
% 20.28/3.25  tff(declare_$i2,type,b:$i).
% 20.28/3.25  tff(declare_$i3,type,c:$i).
% 20.28/3.25  tff(declare_$i4,type,fmb_$i_4:$i).
% 20.28/3.25  tff(declare_$i5,type,fmb_$i_5:$i).
% 20.28/3.25  tff(declare_$i6,type,fmb_$i_6:$i).
% 20.28/3.25  tff(declare_$i7,type,fmb_$i_7:$i).
% 20.28/3.25  tff(declare_$i8,type,fmb_$i_8:$i).
% 20.28/3.25  tff(declare_$i9,type,fmb_$i_9:$i).
% 20.28/3.25  tff(finite_domain,axiom,
% 20.28/3.25        ! [X:$i] : (
% 20.28/3.25           X = a | X = b | X = c | X = fmb_$i_4 | X = fmb_$i_5 | 
% 20.28/3.25           X = fmb_$i_6 | X = fmb_$i_7 | X = fmb_$i_8 | X = fmb_$i_9
% 20.28/3.25        ) ).
% 20.28/3.25  
% 20.28/3.25  tff(distinct_domain,axiom,
% 20.28/3.25           a != b & a != c & a != fmb_$i_4 & a != fmb_$i_5 & a != fmb_$i_6 & 
% 20.28/3.25           a != fmb_$i_7 & a != fmb_$i_8 & a != fmb_$i_9 & b != c & b != fmb_$i_4 & 
% 20.28/3.25           b != fmb_$i_5 & b != fmb_$i_6 & b != fmb_$i_7 & b != fmb_$i_8 & b != fmb_$i_9 & 
% 20.28/3.25           c != fmb_$i_4 & c != fmb_$i_5 & c != fmb_$i_6 & c != fmb_$i_7 & c != fmb_$i_8 & 
% 20.28/3.25           c != fmb_$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 & 
% 20.28/3.25           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 & 
% 20.28/3.25           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 & 
% 20.28/3.25           fmb_$i_8 != fmb_$i_9
% 20.28/3.25  ).
% 20.28/3.25  
% 20.28/3.25  tff(declare_bool,type,$o:$tType).
% 20.28/3.25  tff(declare_bool1,type,fmb_bool_1:$o).
% 20.28/3.25  tff(finite_domain,axiom,
% 20.28/3.25        ! [X:$o] : (
% 20.28/3.25           X = fmb_bool_1
% 20.28/3.25        ) ).
% 20.28/3.25  
% 20.28/3.25  tff(declare_meet,type,meet: $i * $i > $i).
% 20.28/3.25  tff(function_meet,axiom,
% 20.28/3.25             meet(a,a) = a
% 20.28/3.25           & meet(a,b) = fmb_$i_6
% 20.28/3.25           & meet(a,c) = fmb_$i_6
% 20.28/3.25           & meet(a,fmb_$i_4) = a
% 20.28/3.25           & meet(a,fmb_$i_5) = a
% 20.28/3.25           & meet(a,fmb_$i_6) = fmb_$i_6
% 20.28/3.25           & meet(a,fmb_$i_7) = fmb_$i_6
% 20.28/3.25           & meet(a,fmb_$i_8) = a
% 20.28/3.25           & meet(a,fmb_$i_9) = fmb_$i_6
% 20.28/3.25           & meet(b,a) = fmb_$i_6
% 20.28/3.25           & meet(b,b) = b
% 20.28/3.25           & meet(b,c) = fmb_$i_6
% 20.28/3.25           & meet(b,fmb_$i_4) = b
% 20.28/3.25           & meet(b,fmb_$i_5) = b
% 20.28/3.25           & meet(b,fmb_$i_6) = fmb_$i_6
% 20.28/3.25           & meet(b,fmb_$i_7) = fmb_$i_6
% 20.28/3.25           & meet(b,fmb_$i_8) = fmb_$i_9
% 20.28/3.25           & meet(b,fmb_$i_9) = fmb_$i_9
% 20.28/3.25           & meet(c,a) = fmb_$i_6
% 20.28/3.25           & meet(c,b) = fmb_$i_6
% 20.28/3.25           & meet(c,c) = c
% 20.28/3.25           & meet(c,fmb_$i_4) = c
% 20.28/3.25           & meet(c,fmb_$i_5) = fmb_$i_7
% 20.28/3.25           & meet(c,fmb_$i_6) = fmb_$i_6
% 20.28/3.25           & meet(c,fmb_$i_7) = fmb_$i_7
% 20.28/3.25           & meet(c,fmb_$i_8) = fmb_$i_7
% 20.28/3.25           & meet(c,fmb_$i_9) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_4,a) = a
% 20.28/3.25           & meet(fmb_$i_4,b) = b
% 20.28/3.25           & meet(fmb_$i_4,c) = c
% 20.28/3.25           & meet(fmb_$i_4,fmb_$i_4) = fmb_$i_4
% 20.28/3.25           & meet(fmb_$i_4,fmb_$i_5) = fmb_$i_5
% 20.28/3.25           & meet(fmb_$i_4,fmb_$i_6) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_4,fmb_$i_7) = fmb_$i_7
% 20.28/3.25           & meet(fmb_$i_4,fmb_$i_8) = fmb_$i_8
% 20.28/3.25           & meet(fmb_$i_4,fmb_$i_9) = fmb_$i_9
% 20.28/3.25           & meet(fmb_$i_5,a) = a
% 20.28/3.25           & meet(fmb_$i_5,b) = b
% 20.28/3.25           & meet(fmb_$i_5,c) = fmb_$i_7
% 20.28/3.25           & meet(fmb_$i_5,fmb_$i_4) = fmb_$i_5
% 20.28/3.25           & meet(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 20.28/3.25           & meet(fmb_$i_5,fmb_$i_6) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_5,fmb_$i_7) = fmb_$i_7
% 20.28/3.25           & meet(fmb_$i_5,fmb_$i_8) = fmb_$i_8
% 20.28/3.25           & meet(fmb_$i_5,fmb_$i_9) = fmb_$i_9
% 20.28/3.25           & meet(fmb_$i_6,a) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_6,b) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_6,c) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_6,fmb_$i_4) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_6,fmb_$i_5) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_6,fmb_$i_7) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_6,fmb_$i_8) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_6,fmb_$i_9) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_7,a) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_7,b) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_7,c) = fmb_$i_7
% 20.28/3.25           & meet(fmb_$i_7,fmb_$i_4) = fmb_$i_7
% 20.28/3.25           & meet(fmb_$i_7,fmb_$i_5) = fmb_$i_7
% 20.28/3.25           & meet(fmb_$i_7,fmb_$i_6) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_7,fmb_$i_7) = fmb_$i_7
% 20.28/3.25           & meet(fmb_$i_7,fmb_$i_8) = fmb_$i_7
% 20.28/3.25           & meet(fmb_$i_7,fmb_$i_9) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_8,a) = a
% 20.28/3.25           & meet(fmb_$i_8,b) = fmb_$i_9
% 20.28/3.25           & meet(fmb_$i_8,c) = fmb_$i_7
% 20.28/3.25           & meet(fmb_$i_8,fmb_$i_4) = fmb_$i_8
% 20.28/3.25           & meet(fmb_$i_8,fmb_$i_5) = fmb_$i_8
% 20.28/3.25           & meet(fmb_$i_8,fmb_$i_6) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_8,fmb_$i_7) = fmb_$i_7
% 20.28/3.25           & meet(fmb_$i_8,fmb_$i_8) = fmb_$i_8
% 20.28/3.25           & meet(fmb_$i_8,fmb_$i_9) = fmb_$i_9
% 20.28/3.25           & meet(fmb_$i_9,a) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_9,b) = fmb_$i_9
% 20.28/3.25           & meet(fmb_$i_9,c) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_9,fmb_$i_4) = fmb_$i_9
% 20.28/3.25           & meet(fmb_$i_9,fmb_$i_5) = fmb_$i_9
% 20.28/3.25           & meet(fmb_$i_9,fmb_$i_6) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_9,fmb_$i_7) = fmb_$i_6
% 20.28/3.25           & meet(fmb_$i_9,fmb_$i_8) = fmb_$i_9
% 20.28/3.25           & meet(fmb_$i_9,fmb_$i_9) = fmb_$i_9
% 20.28/3.25  
% 20.28/3.25  ).
% 20.28/3.25  
% 20.28/3.25  tff(declare_join,type,join: $i * $i > $i).
% 20.28/3.25  tff(function_join,axiom,
% 20.28/3.25             join(a,a) = a
% 20.28/3.25           & join(a,b) = fmb_$i_5
% 20.28/3.25           & join(a,c) = fmb_$i_4
% 20.28/3.25           & join(a,fmb_$i_4) = fmb_$i_4
% 20.28/3.25           & join(a,fmb_$i_5) = fmb_$i_5
% 20.28/3.25           & join(a,fmb_$i_6) = a
% 20.28/3.25           & join(a,fmb_$i_7) = fmb_$i_8
% 20.28/3.25           & join(a,fmb_$i_8) = fmb_$i_8
% 20.28/3.25           & join(a,fmb_$i_9) = fmb_$i_8
% 20.28/3.25           & join(b,a) = fmb_$i_5
% 20.28/3.25           & join(b,b) = b
% 20.28/3.25           & join(b,c) = fmb_$i_4
% 20.28/3.25           & join(b,fmb_$i_4) = fmb_$i_4
% 20.28/3.25           & join(b,fmb_$i_5) = fmb_$i_5
% 20.28/3.25           & join(b,fmb_$i_6) = b
% 20.28/3.25           & join(b,fmb_$i_7) = fmb_$i_5
% 20.28/3.25           & join(b,fmb_$i_8) = fmb_$i_5
% 20.28/3.25           & join(b,fmb_$i_9) = b
% 20.28/3.25           & join(c,a) = fmb_$i_4
% 20.28/3.25           & join(c,b) = fmb_$i_4
% 20.28/3.25           & join(c,c) = c
% 20.28/3.25           & join(c,fmb_$i_4) = fmb_$i_4
% 20.28/3.25           & join(c,fmb_$i_5) = fmb_$i_4
% 20.28/3.25           & join(c,fmb_$i_6) = c
% 20.28/3.25           & join(c,fmb_$i_7) = c
% 20.28/3.25           & join(c,fmb_$i_8) = fmb_$i_4
% 20.28/3.25           & join(c,fmb_$i_9) = fmb_$i_4
% 20.28/3.25           & join(fmb_$i_4,a) = fmb_$i_4
% 20.28/3.25           & join(fmb_$i_4,b) = fmb_$i_4
% 20.28/3.25           & join(fmb_$i_4,c) = fmb_$i_4
% 20.28/3.25           & join(fmb_$i_4,fmb_$i_4) = fmb_$i_4
% 20.28/3.25           & join(fmb_$i_4,fmb_$i_5) = fmb_$i_4
% 20.28/3.25           & join(fmb_$i_4,fmb_$i_6) = fmb_$i_4
% 20.28/3.25           & join(fmb_$i_4,fmb_$i_7) = fmb_$i_4
% 20.28/3.25           & join(fmb_$i_4,fmb_$i_8) = fmb_$i_4
% 20.28/3.25           & join(fmb_$i_4,fmb_$i_9) = fmb_$i_4
% 20.28/3.25           & join(fmb_$i_5,a) = fmb_$i_5
% 20.28/3.25           & join(fmb_$i_5,b) = fmb_$i_5
% 20.28/3.25           & join(fmb_$i_5,c) = fmb_$i_4
% 20.28/3.25           & join(fmb_$i_5,fmb_$i_4) = fmb_$i_4
% 20.28/3.25           & join(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 20.28/3.25           & join(fmb_$i_5,fmb_$i_6) = fmb_$i_5
% 20.28/3.25           & join(fmb_$i_5,fmb_$i_7) = fmb_$i_5
% 20.28/3.25           & join(fmb_$i_5,fmb_$i_8) = fmb_$i_5
% 20.28/3.25           & join(fmb_$i_5,fmb_$i_9) = fmb_$i_5
% 20.28/3.25           & join(fmb_$i_6,a) = a
% 20.28/3.25           & join(fmb_$i_6,b) = b
% 20.28/3.25           & join(fmb_$i_6,c) = c
% 20.28/3.25           & join(fmb_$i_6,fmb_$i_4) = fmb_$i_4
% 20.28/3.25           & join(fmb_$i_6,fmb_$i_5) = fmb_$i_5
% 20.28/3.25           & join(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 20.28/3.25           & join(fmb_$i_6,fmb_$i_7) = fmb_$i_7
% 20.28/3.25           & join(fmb_$i_6,fmb_$i_8) = fmb_$i_8
% 20.28/3.25           & join(fmb_$i_6,fmb_$i_9) = fmb_$i_9
% 20.28/3.25           & join(fmb_$i_7,a) = fmb_$i_8
% 20.28/3.25           & join(fmb_$i_7,b) = fmb_$i_5
% 20.28/3.25           & join(fmb_$i_7,c) = c
% 20.28/3.25           & join(fmb_$i_7,fmb_$i_4) = fmb_$i_4
% 20.28/3.25           & join(fmb_$i_7,fmb_$i_5) = fmb_$i_5
% 20.28/3.25           & join(fmb_$i_7,fmb_$i_6) = fmb_$i_7
% 20.28/3.25           & join(fmb_$i_7,fmb_$i_7) = fmb_$i_7
% 20.28/3.25           & join(fmb_$i_7,fmb_$i_8) = fmb_$i_8
% 20.28/3.25           & join(fmb_$i_7,fmb_$i_9) = fmb_$i_8
% 20.28/3.25           & join(fmb_$i_8,a) = fmb_$i_8
% 20.28/3.25           & join(fmb_$i_8,b) = fmb_$i_5
% 20.28/3.25           & join(fmb_$i_8,c) = fmb_$i_4
% 20.28/3.25           & join(fmb_$i_8,fmb_$i_4) = fmb_$i_4
% 20.28/3.25           & join(fmb_$i_8,fmb_$i_5) = fmb_$i_5
% 20.28/3.25           & join(fmb_$i_8,fmb_$i_6) = fmb_$i_8
% 20.28/3.25           & join(fmb_$i_8,fmb_$i_7) = fmb_$i_8
% 20.28/3.25           & join(fmb_$i_8,fmb_$i_8) = fmb_$i_8
% 20.28/3.25           & join(fmb_$i_8,fmb_$i_9) = fmb_$i_8
% 20.28/3.25           & join(fmb_$i_9,a) = fmb_$i_8
% 20.28/3.25           & join(fmb_$i_9,b) = b
% 20.28/3.25           & join(fmb_$i_9,c) = fmb_$i_4
% 20.28/3.25           & join(fmb_$i_9,fmb_$i_4) = fmb_$i_4
% 20.28/3.25           & join(fmb_$i_9,fmb_$i_5) = fmb_$i_5
% 20.28/3.25           & join(fmb_$i_9,fmb_$i_6) = fmb_$i_9
% 20.28/3.25           & join(fmb_$i_9,fmb_$i_7) = fmb_$i_8
% 20.28/3.25           & join(fmb_$i_9,fmb_$i_8) = fmb_$i_8
% 20.28/3.25           & join(fmb_$i_9,fmb_$i_9) = fmb_$i_9
% 20.28/3.25  
% 20.28/3.25  ).
% 20.28/3.25  
% 20.28/3.25  % SZS output end FiniteModel for theBenchmark
% 20.28/3.25  % (27120)------------------------------
% 20.28/3.25  % (27120)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 20.28/3.25  % (27120)Termination reason: Satisfiable
% 20.28/3.25  
% 20.28/3.25  % (27120)Memory used [KB]: 27446
% 20.28/3.25  % (27120)Time elapsed: 2.865 s
% 20.28/3.25  % (27120)Instructions burned: 12132 (million)
% 20.28/3.25  % (27116)Success in time 2.856 s
%------------------------------------------------------------------------------