TSTP Solution File: LAT051-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LAT051-1 : 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 : n007.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 13:20:31 EDT 2024

% Result   : Satisfiable 0.20s 0.53s
% Output   : FiniteModel 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LAT051-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36  % Computer : n007.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Mon Apr 29 21:28:02 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.13/0.36  % (15892)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38  % (15895)WARNING: value z3 for option sas not known
% 0.13/0.38  % (15895)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)
% 0.13/0.38  % (15896)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38  % (15898)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)
% 0.13/0.38  TRYING [1]
% 0.13/0.38  % (15894)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38  % (15897)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)
% 0.13/0.38  TRYING [2]
% 0.13/0.38  % (15899)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)
% 0.13/0.38  TRYING [3]
% 0.13/0.38  % (15893)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38  TRYING [4]
% 0.13/0.38  TRYING [1]
% 0.13/0.38  TRYING [2]
% 0.13/0.39  TRYING [3]
% 0.13/0.40  TRYING [5]
% 0.20/0.41  TRYING [4]
% 0.20/0.44  TRYING [6]
% 0.20/0.49  TRYING [5]
% 0.20/0.53  Finite Model Found!
% 0.20/0.53  % SZS status Satisfiable for theBenchmark
% 0.20/0.53  % (15896)First to succeed.
% 0.20/0.54  % SZS output start FiniteModel for theBenchmark
% 0.20/0.54  tff(declare_$i,type,$i:$tType).
% 0.20/0.54  tff(declare_$i1,type,n1:$i).
% 0.20/0.54  tff(declare_$i2,type,n0:$i).
% 0.20/0.54  tff(declare_$i3,type,a:$i).
% 0.20/0.54  tff(declare_$i4,type,b:$i).
% 0.20/0.54  tff(declare_$i5,type,fmb_$i_5:$i).
% 0.20/0.54  tff(declare_$i6,type,fmb_$i_6:$i).
% 0.20/0.54  tff(finite_domain,axiom,
% 0.20/0.54        ! [X:$i] : (
% 0.20/0.54           X = n1 | X = n0 | X = a | X = b | X = fmb_$i_5 | 
% 0.20/0.54           X = fmb_$i_6
% 0.20/0.54        ) ).
% 0.20/0.54  
% 0.20/0.54  tff(distinct_domain,axiom,
% 0.20/0.54           n1 != n0 & n1 != a & n1 != b & n1 != fmb_$i_5 & n1 != fmb_$i_6 & 
% 0.20/0.54           n0 != a & n0 != b & n0 != fmb_$i_5 & n0 != fmb_$i_6 & a != b & 
% 0.20/0.54           a != fmb_$i_5 & a != fmb_$i_6 & b != fmb_$i_5 & b != fmb_$i_6 & fmb_$i_5 != fmb_$i_6
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_bool,type,$o:$tType).
% 0.20/0.54  tff(declare_bool1,type,fmb_bool_1:$o).
% 0.20/0.54  tff(finite_domain,axiom,
% 0.20/0.54        ! [X:$o] : (
% 0.20/0.54           X = fmb_bool_1
% 0.20/0.54        ) ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_meet,type,meet: $i * $i > $i).
% 0.20/0.54  tff(function_meet,axiom,
% 0.20/0.54             meet(n1,n1) = n1
% 0.20/0.54           & meet(n1,n0) = n0
% 0.20/0.54           & meet(n1,a) = a
% 0.20/0.54           & meet(n1,b) = b
% 0.20/0.54           & meet(n1,fmb_$i_5) = fmb_$i_5
% 0.20/0.54           & meet(n1,fmb_$i_6) = fmb_$i_6
% 0.20/0.54           & meet(n0,n1) = n0
% 0.20/0.54           & meet(n0,n0) = n0
% 0.20/0.54           & meet(n0,a) = n0
% 0.20/0.54           & meet(n0,b) = n0
% 0.20/0.54           & meet(n0,fmb_$i_5) = n0
% 0.20/0.54           & meet(n0,fmb_$i_6) = n0
% 0.20/0.54           & meet(a,n1) = a
% 0.20/0.54           & meet(a,n0) = n0
% 0.20/0.54           & meet(a,a) = a
% 0.20/0.54           & meet(a,b) = a
% 0.20/0.54           & meet(a,fmb_$i_5) = n0
% 0.20/0.54           & meet(a,fmb_$i_6) = n0
% 0.20/0.54           & meet(b,n1) = b
% 0.20/0.54           & meet(b,n0) = n0
% 0.20/0.54           & meet(b,a) = a
% 0.20/0.54           & meet(b,b) = b
% 0.20/0.54           & meet(b,fmb_$i_5) = n0
% 0.20/0.54           & meet(b,fmb_$i_6) = n0
% 0.20/0.54           & meet(fmb_$i_5,n1) = fmb_$i_5
% 0.20/0.54           & meet(fmb_$i_5,n0) = n0
% 0.20/0.54           & meet(fmb_$i_5,a) = n0
% 0.20/0.54           & meet(fmb_$i_5,b) = n0
% 0.20/0.54           & meet(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 0.20/0.54           & meet(fmb_$i_5,fmb_$i_6) = n0
% 0.20/0.54           & meet(fmb_$i_6,n1) = fmb_$i_6
% 0.20/0.54           & meet(fmb_$i_6,n0) = n0
% 0.20/0.54           & meet(fmb_$i_6,a) = n0
% 0.20/0.54           & meet(fmb_$i_6,b) = n0
% 0.20/0.54           & meet(fmb_$i_6,fmb_$i_5) = n0
% 0.20/0.54           & meet(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 0.20/0.54  
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_join,type,join: $i * $i > $i).
% 0.20/0.54  tff(function_join,axiom,
% 0.20/0.54             join(n1,n1) = n1
% 0.20/0.54           & join(n1,n0) = n1
% 0.20/0.54           & join(n1,a) = n1
% 0.20/0.54           & join(n1,b) = n1
% 0.20/0.54           & join(n1,fmb_$i_5) = n1
% 0.20/0.54           & join(n1,fmb_$i_6) = n1
% 0.20/0.54           & join(n0,n1) = n1
% 0.20/0.54           & join(n0,n0) = n0
% 0.20/0.54           & join(n0,a) = a
% 0.20/0.54           & join(n0,b) = b
% 0.20/0.54           & join(n0,fmb_$i_5) = fmb_$i_5
% 0.20/0.54           & join(n0,fmb_$i_6) = fmb_$i_6
% 0.20/0.54           & join(a,n1) = n1
% 0.20/0.54           & join(a,n0) = a
% 0.20/0.54           & join(a,a) = a
% 0.20/0.54           & join(a,b) = b
% 0.20/0.54           & join(a,fmb_$i_5) = n1
% 0.20/0.54           & join(a,fmb_$i_6) = n1
% 0.20/0.54           & join(b,n1) = n1
% 0.20/0.54           & join(b,n0) = b
% 0.20/0.54           & join(b,a) = b
% 0.20/0.54           & join(b,b) = b
% 0.20/0.54           & join(b,fmb_$i_5) = n1
% 0.20/0.54           & join(b,fmb_$i_6) = n1
% 0.20/0.54           & join(fmb_$i_5,n1) = n1
% 0.20/0.54           & join(fmb_$i_5,n0) = fmb_$i_5
% 0.20/0.54           & join(fmb_$i_5,a) = n1
% 0.20/0.54           & join(fmb_$i_5,b) = n1
% 0.20/0.54           & join(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 0.20/0.54           & join(fmb_$i_5,fmb_$i_6) = n1
% 0.20/0.54           & join(fmb_$i_6,n1) = n1
% 0.20/0.54           & join(fmb_$i_6,n0) = fmb_$i_6
% 0.20/0.54           & join(fmb_$i_6,a) = n1
% 0.20/0.54           & join(fmb_$i_6,b) = n1
% 0.20/0.54           & join(fmb_$i_6,fmb_$i_5) = n1
% 0.20/0.54           & join(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 0.20/0.54  
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  tff(declare_complement,type,complement: $i > $i).
% 0.20/0.54  tff(function_complement,axiom,
% 0.20/0.54             complement(n1) = n0
% 0.20/0.54           & complement(n0) = n1
% 0.20/0.54           & complement(a) = fmb_$i_6
% 0.20/0.54           & complement(b) = fmb_$i_5
% 0.20/0.54           & complement(fmb_$i_5) = b
% 0.20/0.54           & complement(fmb_$i_6) = a
% 0.20/0.54  
% 0.20/0.54  ).
% 0.20/0.54  
% 0.20/0.54  % SZS output end FiniteModel for theBenchmark
% 0.20/0.54  % (15896)------------------------------
% 0.20/0.54  % (15896)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.54  % (15896)Termination reason: Satisfiable
% 0.20/0.54  
% 0.20/0.54  % (15896)Memory used [KB]: 2445
% 0.20/0.54  % (15896)Time elapsed: 0.156 s
% 0.20/0.54  % (15896)Instructions burned: 471 (million)
% 0.20/0.54  % (15896)------------------------------
% 0.20/0.54  % (15896)------------------------------
% 0.20/0.54  % (15892)Success in time 0.172 s
%------------------------------------------------------------------------------