TSTP Solution File: LAT116-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LAT116-1 : 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 : n013.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 07:25:59 EDT 2024

% Result   : Satisfiable 33.68s 5.19s
% Output   : FiniteModel 33.89s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LAT116-1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri May  3 12:20:04 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.12/0.35  % (22932)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.36  % (22935)WARNING: value z3 for option sas not known
% 0.19/0.36  % (22936)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.36  % (22937)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)
% 0.19/0.36  % (22939)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)
% 0.19/0.36  % (22938)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)
% 0.19/0.36  % (22934)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.36  % (22935)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)
% 0.19/0.37  TRYING [1]
% 0.19/0.37  TRYING [2]
% 0.19/0.37  % (22933)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.37  TRYING [3]
% 0.19/0.37  TRYING [1]
% 0.19/0.37  TRYING [2]
% 0.19/0.38  TRYING [4]
% 0.19/0.38  TRYING [3]
% 0.19/0.42  TRYING [4]
% 0.19/0.42  TRYING [5]
% 0.19/0.53  TRYING [6]
% 1.50/0.57  TRYING [5]
% 3.45/0.84  TRYING [7]
% 5.68/1.17  TRYING [6]
% 7.78/1.46  TRYING [1]
% 7.78/1.46  TRYING [2]
% 7.78/1.47  TRYING [3]
% 7.78/1.48  TRYING [4]
% 8.08/1.50  TRYING [8]
% 8.08/1.54  TRYING [5]
% 9.57/1.72  TRYING [6]
% 13.25/2.26  TRYING [7]
% 17.46/2.91  TRYING [9]
% 22.49/3.58  TRYING [8]
% 26.59/4.16  TRYING [7]
% 33.68/5.19  Finite Model Found!
% 33.68/5.19  % SZS status Satisfiable for theBenchmark
% 33.89/5.21  % (22936)First to succeed.
% 33.89/5.21  % (22936)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22932"
% 33.89/5.22  % SZS output start FiniteModel for theBenchmark
% 33.89/5.22  tff(declare_$i,type,$i:$tType).
% 33.89/5.22  tff(declare_$i1,type,a:$i).
% 33.89/5.22  tff(declare_$i2,type,b:$i).
% 33.89/5.22  tff(declare_$i3,type,c:$i).
% 33.89/5.22  tff(declare_$i4,type,d:$i).
% 33.89/5.22  tff(declare_$i5,type,fmb_$i_5:$i).
% 33.89/5.22  tff(declare_$i6,type,fmb_$i_6:$i).
% 33.89/5.22  tff(declare_$i7,type,fmb_$i_7:$i).
% 33.89/5.22  tff(declare_$i8,type,fmb_$i_8:$i).
% 33.89/5.22  tff(declare_$i9,type,fmb_$i_9:$i).
% 33.89/5.22  tff(finite_domain,axiom,
% 33.89/5.22        ! [X:$i] : (
% 33.89/5.22           X = a | X = b | X = c | X = d | X = fmb_$i_5 | 
% 33.89/5.22           X = fmb_$i_6 | X = fmb_$i_7 | X = fmb_$i_8 | X = fmb_$i_9
% 33.89/5.22        ) ).
% 33.89/5.22  
% 33.89/5.22  tff(distinct_domain,axiom,
% 33.89/5.22           a != b & a != c & a != d & a != fmb_$i_5 & a != fmb_$i_6 & 
% 33.89/5.22           a != fmb_$i_7 & a != fmb_$i_8 & a != fmb_$i_9 & b != c & b != d & 
% 33.89/5.22           b != fmb_$i_5 & b != fmb_$i_6 & b != fmb_$i_7 & b != fmb_$i_8 & b != fmb_$i_9 & 
% 33.89/5.22           c != d & c != fmb_$i_5 & c != fmb_$i_6 & c != fmb_$i_7 & c != fmb_$i_8 & 
% 33.89/5.22           c != fmb_$i_9 & d != fmb_$i_5 & d != fmb_$i_6 & d != fmb_$i_7 & d != fmb_$i_8 & 
% 33.89/5.22           d != fmb_$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 & 
% 33.89/5.22           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 & 
% 33.89/5.22           fmb_$i_8 != fmb_$i_9
% 33.89/5.22  ).
% 33.89/5.22  
% 33.89/5.22  tff(declare_bool,type,$o:$tType).
% 33.89/5.22  tff(declare_bool1,type,fmb_bool_1:$o).
% 33.89/5.22  tff(finite_domain,axiom,
% 33.89/5.22        ! [X:$o] : (
% 33.89/5.22           X = fmb_bool_1
% 33.89/5.22        ) ).
% 33.89/5.22  
% 33.89/5.22  tff(declare_meet,type,meet: $i * $i > $i).
% 33.89/5.22  tff(function_meet,axiom,
% 33.89/5.22             meet(a,a) = a
% 33.89/5.22           & meet(a,b) = fmb_$i_6
% 33.89/5.22           & meet(a,c) = a
% 33.89/5.22           & meet(a,d) = fmb_$i_6
% 33.89/5.22           & meet(a,fmb_$i_5) = a
% 33.89/5.22           & meet(a,fmb_$i_6) = fmb_$i_6
% 33.89/5.22           & meet(a,fmb_$i_7) = fmb_$i_6
% 33.89/5.22           & meet(a,fmb_$i_8) = fmb_$i_9
% 33.89/5.22           & meet(a,fmb_$i_9) = fmb_$i_9
% 33.89/5.22           & meet(b,a) = fmb_$i_6
% 33.89/5.22           & meet(b,b) = b
% 33.89/5.22           & meet(b,c) = b
% 33.89/5.22           & meet(b,d) = fmb_$i_6
% 33.89/5.22           & meet(b,fmb_$i_5) = b
% 33.89/5.22           & meet(b,fmb_$i_6) = fmb_$i_6
% 33.89/5.22           & meet(b,fmb_$i_7) = fmb_$i_6
% 33.89/5.22           & meet(b,fmb_$i_8) = b
% 33.89/5.22           & meet(b,fmb_$i_9) = fmb_$i_6
% 33.89/5.22           & meet(c,a) = a
% 33.89/5.22           & meet(c,b) = b
% 33.89/5.22           & meet(c,c) = c
% 33.89/5.22           & meet(c,d) = fmb_$i_7
% 33.89/5.22           & meet(c,fmb_$i_5) = c
% 33.89/5.22           & meet(c,fmb_$i_6) = fmb_$i_6
% 33.89/5.22           & meet(c,fmb_$i_7) = fmb_$i_7
% 33.89/5.22           & meet(c,fmb_$i_8) = fmb_$i_8
% 33.89/5.22           & meet(c,fmb_$i_9) = fmb_$i_9
% 33.89/5.22           & meet(d,a) = fmb_$i_6
% 33.89/5.22           & meet(d,b) = fmb_$i_6
% 33.89/5.22           & meet(d,c) = fmb_$i_7
% 33.89/5.22           & meet(d,d) = d
% 33.89/5.22           & meet(d,fmb_$i_5) = d
% 33.89/5.22           & meet(d,fmb_$i_6) = fmb_$i_6
% 33.89/5.22           & meet(d,fmb_$i_7) = fmb_$i_7
% 33.89/5.22           & meet(d,fmb_$i_8) = fmb_$i_7
% 33.89/5.22           & meet(d,fmb_$i_9) = fmb_$i_6
% 33.89/5.22           & meet(fmb_$i_5,a) = a
% 33.89/5.22           & meet(fmb_$i_5,b) = b
% 33.89/5.22           & meet(fmb_$i_5,c) = c
% 33.89/5.22           & meet(fmb_$i_5,d) = d
% 33.89/5.22           & meet(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 33.89/5.22           & meet(fmb_$i_5,fmb_$i_6) = fmb_$i_6
% 33.89/5.22           & meet(fmb_$i_5,fmb_$i_7) = fmb_$i_7
% 33.89/5.22           & meet(fmb_$i_5,fmb_$i_8) = fmb_$i_8
% 33.89/5.22           & meet(fmb_$i_5,fmb_$i_9) = fmb_$i_9
% 33.89/5.22           & meet(fmb_$i_6,a) = fmb_$i_6
% 33.89/5.22           & meet(fmb_$i_6,b) = fmb_$i_6
% 33.89/5.22           & meet(fmb_$i_6,c) = fmb_$i_6
% 33.89/5.22           & meet(fmb_$i_6,d) = fmb_$i_6
% 33.89/5.22           & meet(fmb_$i_6,fmb_$i_5) = fmb_$i_6
% 33.89/5.22           & meet(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 33.89/5.22           & meet(fmb_$i_6,fmb_$i_7) = fmb_$i_6
% 33.89/5.22           & meet(fmb_$i_6,fmb_$i_8) = fmb_$i_6
% 33.89/5.22           & meet(fmb_$i_6,fmb_$i_9) = fmb_$i_6
% 33.89/5.22           & meet(fmb_$i_7,a) = fmb_$i_6
% 33.89/5.22           & meet(fmb_$i_7,b) = fmb_$i_6
% 33.89/5.22           & meet(fmb_$i_7,c) = fmb_$i_7
% 33.89/5.22           & meet(fmb_$i_7,d) = fmb_$i_7
% 33.89/5.22           & meet(fmb_$i_7,fmb_$i_5) = fmb_$i_7
% 33.89/5.22           & meet(fmb_$i_7,fmb_$i_6) = fmb_$i_6
% 33.89/5.22           & meet(fmb_$i_7,fmb_$i_7) = fmb_$i_7
% 33.89/5.22           & meet(fmb_$i_7,fmb_$i_8) = fmb_$i_7
% 33.89/5.22           & meet(fmb_$i_7,fmb_$i_9) = fmb_$i_6
% 33.89/5.22           & meet(fmb_$i_8,a) = fmb_$i_9
% 33.89/5.22           & meet(fmb_$i_8,b) = b
% 33.89/5.22           & meet(fmb_$i_8,c) = fmb_$i_8
% 33.89/5.22           & meet(fmb_$i_8,d) = fmb_$i_7
% 33.89/5.22           & meet(fmb_$i_8,fmb_$i_5) = fmb_$i_8
% 33.89/5.22           & meet(fmb_$i_8,fmb_$i_6) = fmb_$i_6
% 33.89/5.22           & meet(fmb_$i_8,fmb_$i_7) = fmb_$i_7
% 33.89/5.22           & meet(fmb_$i_8,fmb_$i_8) = fmb_$i_8
% 33.89/5.22           & meet(fmb_$i_8,fmb_$i_9) = fmb_$i_9
% 33.89/5.22           & meet(fmb_$i_9,a) = fmb_$i_9
% 33.89/5.22           & meet(fmb_$i_9,b) = fmb_$i_6
% 33.89/5.22           & meet(fmb_$i_9,c) = fmb_$i_9
% 33.89/5.22           & meet(fmb_$i_9,d) = fmb_$i_6
% 33.89/5.22           & meet(fmb_$i_9,fmb_$i_5) = fmb_$i_9
% 33.89/5.22           & meet(fmb_$i_9,fmb_$i_6) = fmb_$i_6
% 33.89/5.22           & meet(fmb_$i_9,fmb_$i_7) = fmb_$i_6
% 33.89/5.22           & meet(fmb_$i_9,fmb_$i_8) = fmb_$i_9
% 33.89/5.22           & meet(fmb_$i_9,fmb_$i_9) = fmb_$i_9
% 33.89/5.22  
% 33.89/5.22  ).
% 33.89/5.22  
% 33.89/5.22  tff(declare_join,type,join: $i * $i > $i).
% 33.89/5.22  tff(function_join,axiom,
% 33.89/5.22             join(a,a) = a
% 33.89/5.22           & join(a,b) = c
% 33.89/5.22           & join(a,c) = c
% 33.89/5.22           & join(a,d) = fmb_$i_5
% 33.89/5.22           & join(a,fmb_$i_5) = fmb_$i_5
% 33.89/5.22           & join(a,fmb_$i_6) = a
% 33.89/5.22           & join(a,fmb_$i_7) = c
% 33.89/5.22           & join(a,fmb_$i_8) = c
% 33.89/5.22           & join(a,fmb_$i_9) = a
% 33.89/5.22           & join(b,a) = c
% 33.89/5.22           & join(b,b) = b
% 33.89/5.22           & join(b,c) = c
% 33.89/5.22           & join(b,d) = fmb_$i_5
% 33.89/5.22           & join(b,fmb_$i_5) = fmb_$i_5
% 33.89/5.22           & join(b,fmb_$i_6) = b
% 33.89/5.22           & join(b,fmb_$i_7) = fmb_$i_8
% 33.89/5.22           & join(b,fmb_$i_8) = fmb_$i_8
% 33.89/5.22           & join(b,fmb_$i_9) = fmb_$i_8
% 33.89/5.22           & join(c,a) = c
% 33.89/5.22           & join(c,b) = c
% 33.89/5.22           & join(c,c) = c
% 33.89/5.22           & join(c,d) = fmb_$i_5
% 33.89/5.22           & join(c,fmb_$i_5) = fmb_$i_5
% 33.89/5.22           & join(c,fmb_$i_6) = c
% 33.89/5.22           & join(c,fmb_$i_7) = c
% 33.89/5.22           & join(c,fmb_$i_8) = c
% 33.89/5.22           & join(c,fmb_$i_9) = c
% 33.89/5.22           & join(d,a) = fmb_$i_5
% 33.89/5.22           & join(d,b) = fmb_$i_5
% 33.89/5.22           & join(d,c) = fmb_$i_5
% 33.89/5.22           & join(d,d) = d
% 33.89/5.22           & join(d,fmb_$i_5) = fmb_$i_5
% 33.89/5.22           & join(d,fmb_$i_6) = d
% 33.89/5.22           & join(d,fmb_$i_7) = d
% 33.89/5.22           & join(d,fmb_$i_8) = fmb_$i_5
% 33.89/5.22           & join(d,fmb_$i_9) = fmb_$i_5
% 33.89/5.22           & join(fmb_$i_5,a) = fmb_$i_5
% 33.89/5.22           & join(fmb_$i_5,b) = fmb_$i_5
% 33.89/5.22           & join(fmb_$i_5,c) = fmb_$i_5
% 33.89/5.22           & join(fmb_$i_5,d) = fmb_$i_5
% 33.89/5.22           & join(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 33.89/5.22           & join(fmb_$i_5,fmb_$i_6) = fmb_$i_5
% 33.89/5.22           & join(fmb_$i_5,fmb_$i_7) = fmb_$i_5
% 33.89/5.22           & join(fmb_$i_5,fmb_$i_8) = fmb_$i_5
% 33.89/5.22           & join(fmb_$i_5,fmb_$i_9) = fmb_$i_5
% 33.89/5.22           & join(fmb_$i_6,a) = a
% 33.89/5.22           & join(fmb_$i_6,b) = b
% 33.89/5.22           & join(fmb_$i_6,c) = c
% 33.89/5.22           & join(fmb_$i_6,d) = d
% 33.89/5.22           & join(fmb_$i_6,fmb_$i_5) = fmb_$i_5
% 33.89/5.22           & join(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 33.89/5.22           & join(fmb_$i_6,fmb_$i_7) = fmb_$i_7
% 33.89/5.22           & join(fmb_$i_6,fmb_$i_8) = fmb_$i_8
% 33.89/5.22           & join(fmb_$i_6,fmb_$i_9) = fmb_$i_9
% 33.89/5.22           & join(fmb_$i_7,a) = c
% 33.89/5.22           & join(fmb_$i_7,b) = fmb_$i_8
% 33.89/5.22           & join(fmb_$i_7,c) = c
% 33.89/5.22           & join(fmb_$i_7,d) = d
% 33.89/5.22           & join(fmb_$i_7,fmb_$i_5) = fmb_$i_5
% 33.89/5.22           & join(fmb_$i_7,fmb_$i_6) = fmb_$i_7
% 33.89/5.22           & join(fmb_$i_7,fmb_$i_7) = fmb_$i_7
% 33.89/5.22           & join(fmb_$i_7,fmb_$i_8) = fmb_$i_8
% 33.89/5.22           & join(fmb_$i_7,fmb_$i_9) = fmb_$i_8
% 33.89/5.22           & join(fmb_$i_8,a) = c
% 33.89/5.22           & join(fmb_$i_8,b) = fmb_$i_8
% 33.89/5.22           & join(fmb_$i_8,c) = c
% 33.89/5.22           & join(fmb_$i_8,d) = fmb_$i_5
% 33.89/5.22           & join(fmb_$i_8,fmb_$i_5) = fmb_$i_5
% 33.89/5.22           & join(fmb_$i_8,fmb_$i_6) = fmb_$i_8
% 33.89/5.22           & join(fmb_$i_8,fmb_$i_7) = fmb_$i_8
% 33.89/5.22           & join(fmb_$i_8,fmb_$i_8) = fmb_$i_8
% 33.89/5.22           & join(fmb_$i_8,fmb_$i_9) = fmb_$i_8
% 33.89/5.22           & join(fmb_$i_9,a) = a
% 33.89/5.22           & join(fmb_$i_9,b) = fmb_$i_8
% 33.89/5.22           & join(fmb_$i_9,c) = c
% 33.89/5.22           & join(fmb_$i_9,d) = fmb_$i_5
% 33.89/5.22           & join(fmb_$i_9,fmb_$i_5) = fmb_$i_5
% 33.89/5.22           & join(fmb_$i_9,fmb_$i_6) = fmb_$i_9
% 33.89/5.22           & join(fmb_$i_9,fmb_$i_7) = fmb_$i_8
% 33.89/5.22           & join(fmb_$i_9,fmb_$i_8) = fmb_$i_8
% 33.89/5.22           & join(fmb_$i_9,fmb_$i_9) = fmb_$i_9
% 33.89/5.22  
% 33.89/5.22  ).
% 33.89/5.22  
% 33.89/5.22  % SZS output end FiniteModel for theBenchmark
% 33.89/5.22  % (22936)------------------------------
% 33.89/5.22  % (22936)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 33.89/5.22  % (22936)Termination reason: Satisfiable
% 33.89/5.22  
% 33.89/5.22  % (22936)Memory used [KB]: 27496
% 33.89/5.22  % (22936)Time elapsed: 4.852 s
% 33.89/5.22  % (22936)Instructions burned: 13284 (million)
% 33.89/5.22  % (22932)Success in time 4.807 s
%------------------------------------------------------------------------------