TSTP Solution File: LAT109-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT109-1 : 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 : n026.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 13:20:45 EDT 2024
% Result : Satisfiable 57.83s 8.67s
% Output : FiniteModel 58.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT109-1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 22:02:04 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (9688)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (9691)WARNING: value z3 for option sas not known
% 0.14/0.37 % (9690)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (9692)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (9689)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (9691)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)
% 0.14/0.37 % (9694)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)
% 0.14/0.37 % (9695)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)
% 0.14/0.37 % (9693)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.40 TRYING [4]
% 0.21/0.43 TRYING [4]
% 0.21/0.49 TRYING [5]
% 1.67/0.59 TRYING [5]
% 2.18/0.66 TRYING [6]
% 7.87/1.47 TRYING [1]
% 7.87/1.47 TRYING [2]
% 7.87/1.47 TRYING [3]
% 8.09/1.50 TRYING [4]
% 8.09/1.52 TRYING [7]
% 8.30/1.60 TRYING [5]
% 8.91/1.65 TRYING [6]
% 10.91/1.97 TRYING [6]
% 20.00/3.25 TRYING [7]
% 23.81/3.80 TRYING [8]
% 47.37/7.14 TRYING [7]
% 48.21/7.28 TRYING [8]
% 57.83/8.67 Finite Model Found!
% 57.83/8.67 % SZS status Satisfiable for theBenchmark
% 58.53/8.73 % (9692)First to succeed.
% 58.53/8.74 % SZS output start FiniteModel for theBenchmark
% 58.53/8.74 tff(declare_$i,type,$i:$tType).
% 58.53/8.74 tff(declare_$i1,type,a:$i).
% 58.53/8.74 tff(declare_$i2,type,b:$i).
% 58.53/8.74 tff(declare_$i3,type,c:$i).
% 58.53/8.74 tff(declare_$i4,type,d:$i).
% 58.53/8.74 tff(declare_$i5,type,fmb_$i_5:$i).
% 58.53/8.74 tff(declare_$i6,type,fmb_$i_6:$i).
% 58.53/8.74 tff(declare_$i7,type,fmb_$i_7:$i).
% 58.53/8.74 tff(declare_$i8,type,fmb_$i_8:$i).
% 58.53/8.74 tff(finite_domain,axiom,
% 58.53/8.74 ! [X:$i] : (
% 58.53/8.74 X = a | X = b | X = c | X = d | X = fmb_$i_5 |
% 58.53/8.74 X = fmb_$i_6 | X = fmb_$i_7 | X = fmb_$i_8
% 58.53/8.74 ) ).
% 58.53/8.74
% 58.53/8.74 tff(distinct_domain,axiom,
% 58.53/8.74 a != b & a != c & a != d & a != fmb_$i_5 & a != fmb_$i_6 &
% 58.53/8.74 a != fmb_$i_7 & a != fmb_$i_8 & b != c & b != d & b != fmb_$i_5 &
% 58.53/8.74 b != fmb_$i_6 & b != fmb_$i_7 & b != fmb_$i_8 & c != d & c != fmb_$i_5 &
% 58.53/8.74 c != fmb_$i_6 & c != fmb_$i_7 & c != fmb_$i_8 & d != fmb_$i_5 & d != fmb_$i_6 &
% 58.53/8.74 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 &
% 58.53/8.74 fmb_$i_6 != fmb_$i_7 & fmb_$i_6 != fmb_$i_8 & fmb_$i_7 != fmb_$i_8
% 58.53/8.74 ).
% 58.53/8.74
% 58.53/8.74 tff(declare_bool,type,$o:$tType).
% 58.53/8.74 tff(declare_bool1,type,fmb_bool_1:$o).
% 58.53/8.74 tff(finite_domain,axiom,
% 58.53/8.74 ! [X:$o] : (
% 58.53/8.74 X = fmb_bool_1
% 58.53/8.74 ) ).
% 58.53/8.74
% 58.53/8.74 tff(declare_meet,type,meet: $i * $i > $i).
% 58.53/8.74 tff(function_meet,axiom,
% 58.53/8.74 meet(a,a) = a
% 58.53/8.74 & meet(a,b) = b
% 58.53/8.74 & meet(a,c) = fmb_$i_7
% 58.53/8.74 & meet(a,d) = fmb_$i_7
% 58.53/8.74 & meet(a,fmb_$i_5) = a
% 58.53/8.74 & meet(a,fmb_$i_6) = a
% 58.53/8.74 & meet(a,fmb_$i_7) = fmb_$i_7
% 58.53/8.74 & meet(a,fmb_$i_8) = fmb_$i_7
% 58.53/8.74 & meet(b,a) = b
% 58.53/8.74 & meet(b,b) = b
% 58.53/8.74 & meet(b,c) = fmb_$i_7
% 58.53/8.74 & meet(b,d) = fmb_$i_7
% 58.53/8.74 & meet(b,fmb_$i_5) = b
% 58.53/8.74 & meet(b,fmb_$i_6) = b
% 58.53/8.74 & meet(b,fmb_$i_7) = fmb_$i_7
% 58.53/8.74 & meet(b,fmb_$i_8) = fmb_$i_7
% 58.53/8.74 & meet(c,a) = fmb_$i_7
% 58.53/8.74 & meet(c,b) = fmb_$i_7
% 58.53/8.74 & meet(c,c) = c
% 58.53/8.74 & meet(c,d) = fmb_$i_7
% 58.53/8.74 & meet(c,fmb_$i_5) = c
% 58.53/8.74 & meet(c,fmb_$i_6) = c
% 58.53/8.74 & meet(c,fmb_$i_7) = fmb_$i_7
% 58.53/8.74 & meet(c,fmb_$i_8) = c
% 58.53/8.74 & meet(d,a) = fmb_$i_7
% 58.53/8.74 & meet(d,b) = fmb_$i_7
% 58.53/8.74 & meet(d,c) = fmb_$i_7
% 58.53/8.74 & meet(d,d) = d
% 58.53/8.74 & meet(d,fmb_$i_5) = d
% 58.53/8.74 & meet(d,fmb_$i_6) = fmb_$i_7
% 58.53/8.74 & meet(d,fmb_$i_7) = fmb_$i_7
% 58.53/8.74 & meet(d,fmb_$i_8) = d
% 58.53/8.74 & meet(fmb_$i_5,a) = a
% 58.53/8.74 & meet(fmb_$i_5,b) = b
% 58.53/8.74 & meet(fmb_$i_5,c) = c
% 58.53/8.74 & meet(fmb_$i_5,d) = d
% 58.53/8.74 & meet(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 58.53/8.74 & meet(fmb_$i_5,fmb_$i_6) = fmb_$i_6
% 58.53/8.74 & meet(fmb_$i_5,fmb_$i_7) = fmb_$i_7
% 58.53/8.74 & meet(fmb_$i_5,fmb_$i_8) = fmb_$i_8
% 58.53/8.74 & meet(fmb_$i_6,a) = a
% 58.53/8.74 & meet(fmb_$i_6,b) = b
% 58.53/8.74 & meet(fmb_$i_6,c) = c
% 58.53/8.74 & meet(fmb_$i_6,d) = fmb_$i_7
% 58.53/8.74 & meet(fmb_$i_6,fmb_$i_5) = fmb_$i_6
% 58.53/8.74 & meet(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 58.53/8.74 & meet(fmb_$i_6,fmb_$i_7) = fmb_$i_7
% 58.53/8.74 & meet(fmb_$i_6,fmb_$i_8) = c
% 58.53/8.74 & meet(fmb_$i_7,a) = fmb_$i_7
% 58.53/8.74 & meet(fmb_$i_7,b) = fmb_$i_7
% 58.53/8.74 & meet(fmb_$i_7,c) = fmb_$i_7
% 58.53/8.74 & meet(fmb_$i_7,d) = fmb_$i_7
% 58.53/8.74 & meet(fmb_$i_7,fmb_$i_5) = fmb_$i_7
% 58.53/8.74 & meet(fmb_$i_7,fmb_$i_6) = fmb_$i_7
% 58.53/8.74 & meet(fmb_$i_7,fmb_$i_7) = fmb_$i_7
% 58.53/8.74 & meet(fmb_$i_7,fmb_$i_8) = fmb_$i_7
% 58.53/8.74 & meet(fmb_$i_8,a) = fmb_$i_7
% 58.53/8.74 & meet(fmb_$i_8,b) = fmb_$i_7
% 58.53/8.74 & meet(fmb_$i_8,c) = c
% 58.53/8.74 & meet(fmb_$i_8,d) = d
% 58.53/8.74 & meet(fmb_$i_8,fmb_$i_5) = fmb_$i_8
% 58.53/8.74 & meet(fmb_$i_8,fmb_$i_6) = c
% 58.53/8.74 & meet(fmb_$i_8,fmb_$i_7) = fmb_$i_7
% 58.53/8.74 & meet(fmb_$i_8,fmb_$i_8) = fmb_$i_8
% 58.53/8.74
% 58.53/8.74 ).
% 58.53/8.74
% 58.53/8.74 tff(declare_join,type,join: $i * $i > $i).
% 58.53/8.74 tff(function_join,axiom,
% 58.53/8.74 join(a,a) = a
% 58.53/8.74 & join(a,b) = a
% 58.53/8.74 & join(a,c) = fmb_$i_6
% 58.53/8.74 & join(a,d) = fmb_$i_5
% 58.53/8.74 & join(a,fmb_$i_5) = fmb_$i_5
% 58.53/8.74 & join(a,fmb_$i_6) = fmb_$i_6
% 58.53/8.74 & join(a,fmb_$i_7) = a
% 58.53/8.74 & join(a,fmb_$i_8) = fmb_$i_5
% 58.53/8.74 & join(b,a) = a
% 58.53/8.74 & join(b,b) = b
% 58.53/8.74 & join(b,c) = fmb_$i_6
% 58.53/8.74 & join(b,d) = fmb_$i_5
% 58.53/8.74 & join(b,fmb_$i_5) = fmb_$i_5
% 58.53/8.74 & join(b,fmb_$i_6) = fmb_$i_6
% 58.53/8.74 & join(b,fmb_$i_7) = b
% 58.53/8.74 & join(b,fmb_$i_8) = fmb_$i_5
% 58.53/8.74 & join(c,a) = fmb_$i_6
% 58.53/8.74 & join(c,b) = fmb_$i_6
% 58.53/8.74 & join(c,c) = c
% 58.53/8.74 & join(c,d) = fmb_$i_8
% 58.53/8.74 & join(c,fmb_$i_5) = fmb_$i_5
% 58.53/8.74 & join(c,fmb_$i_6) = fmb_$i_6
% 58.53/8.74 & join(c,fmb_$i_7) = c
% 58.53/8.74 & join(c,fmb_$i_8) = fmb_$i_8
% 58.53/8.74 & join(d,a) = fmb_$i_5
% 58.53/8.74 & join(d,b) = fmb_$i_5
% 58.53/8.74 & join(d,c) = fmb_$i_8
% 58.53/8.74 & join(d,d) = d
% 58.53/8.74 & join(d,fmb_$i_5) = fmb_$i_5
% 58.53/8.74 & join(d,fmb_$i_6) = fmb_$i_5
% 58.53/8.74 & join(d,fmb_$i_7) = d
% 58.53/8.74 & join(d,fmb_$i_8) = fmb_$i_8
% 58.53/8.74 & join(fmb_$i_5,a) = fmb_$i_5
% 58.53/8.74 & join(fmb_$i_5,b) = fmb_$i_5
% 58.53/8.74 & join(fmb_$i_5,c) = fmb_$i_5
% 58.53/8.74 & join(fmb_$i_5,d) = fmb_$i_5
% 58.53/8.74 & join(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 58.53/8.74 & join(fmb_$i_5,fmb_$i_6) = fmb_$i_5
% 58.53/8.74 & join(fmb_$i_5,fmb_$i_7) = fmb_$i_5
% 58.53/8.74 & join(fmb_$i_5,fmb_$i_8) = fmb_$i_5
% 58.53/8.74 & join(fmb_$i_6,a) = fmb_$i_6
% 58.53/8.74 & join(fmb_$i_6,b) = fmb_$i_6
% 58.53/8.74 & join(fmb_$i_6,c) = fmb_$i_6
% 58.53/8.74 & join(fmb_$i_6,d) = fmb_$i_5
% 58.53/8.74 & join(fmb_$i_6,fmb_$i_5) = fmb_$i_5
% 58.53/8.74 & join(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 58.53/8.74 & join(fmb_$i_6,fmb_$i_7) = fmb_$i_6
% 58.53/8.74 & join(fmb_$i_6,fmb_$i_8) = fmb_$i_5
% 58.53/8.74 & join(fmb_$i_7,a) = a
% 58.53/8.74 & join(fmb_$i_7,b) = b
% 58.53/8.74 & join(fmb_$i_7,c) = c
% 58.53/8.74 & join(fmb_$i_7,d) = d
% 58.53/8.74 & join(fmb_$i_7,fmb_$i_5) = fmb_$i_5
% 58.53/8.74 & join(fmb_$i_7,fmb_$i_6) = fmb_$i_6
% 58.53/8.74 & join(fmb_$i_7,fmb_$i_7) = fmb_$i_7
% 58.53/8.74 & join(fmb_$i_7,fmb_$i_8) = fmb_$i_8
% 58.53/8.74 & join(fmb_$i_8,a) = fmb_$i_5
% 58.53/8.74 & join(fmb_$i_8,b) = fmb_$i_5
% 58.53/8.74 & join(fmb_$i_8,c) = fmb_$i_8
% 58.53/8.74 & join(fmb_$i_8,d) = fmb_$i_8
% 58.53/8.74 & join(fmb_$i_8,fmb_$i_5) = fmb_$i_5
% 58.53/8.74 & join(fmb_$i_8,fmb_$i_6) = fmb_$i_5
% 58.53/8.74 & join(fmb_$i_8,fmb_$i_7) = fmb_$i_8
% 58.53/8.74 & join(fmb_$i_8,fmb_$i_8) = fmb_$i_8
% 58.53/8.74
% 58.53/8.74 ).
% 58.53/8.74
% 58.53/8.74 % SZS output end FiniteModel for theBenchmark
% 58.53/8.74 % (9692)------------------------------
% 58.53/8.74 % (9692)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 58.53/8.74 % (9692)Termination reason: Satisfiable
% 58.53/8.74
% 58.53/8.74 % (9692)Memory used [KB]: 51148
% 58.53/8.74 % (9692)Time elapsed: 8.358 s
% 58.53/8.74 % (9692)Instructions burned: 21287 (million)
% 58.53/8.74 % (9692)------------------------------
% 58.53/8.74 % (9692)------------------------------
% 58.53/8.74 % (9688)Success in time 8.367 s
%------------------------------------------------------------------------------