TSTP Solution File: LAT120-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT120-1 : 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 : 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 : Tue Apr 30 13:20:46 EDT 2024
% Result : Satisfiable 46.38s 9.49s
% Output : FiniteModel 46.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : LAT120-1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n005.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Apr 29 21:19:11 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (26162)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.36 % (26164)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.36 % (26166)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.37 TRYING [1]
% 0.10/0.37 % (26169)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)
% 0.10/0.37 % (26167)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)
% 0.10/0.37 % (26168)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)
% 0.10/0.37 % (26165)WARNING: value z3 for option sas not known
% 0.10/0.38 TRYING [2]
% 0.10/0.38 TRYING [3]
% 0.10/0.38 % (26165)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)
% 0.10/0.39 % (26163)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.41 TRYING [1]
% 0.16/0.41 TRYING [4]
% 0.16/0.41 TRYING [2]
% 0.16/0.43 TRYING [3]
% 0.16/0.51 TRYING [5]
% 0.66/0.54 TRYING [4]
% 1.49/0.76 TRYING [5]
% 1.49/0.81 TRYING [6]
% 4.25/1.47 TRYING [1]
% 4.25/1.47 TRYING [2]
% 4.36/1.48 TRYING [6]
% 4.36/1.49 TRYING [3]
% 4.36/1.52 TRYING [4]
% 4.94/1.66 TRYING [5]
% 5.14/1.70 TRYING [7]
% 6.64/2.11 TRYING [6]
% 11.36/3.15 TRYING [7]
% 12.21/3.31 TRYING [7]
% 14.33/3.72 TRYING [8]
% 24.26/5.75 TRYING [8]
% 25.99/6.12 TRYING [8]
% 34.04/7.63 TRYING [9]
% 41.39/8.84 TRYING [9]
% 46.38/9.49 Finite Model Found!
% 46.38/9.49 % SZS status Satisfiable for theBenchmark
% 46.38/9.51 % (26166)First to succeed.
% 46.38/9.51 % SZS output start FiniteModel for theBenchmark
% 46.38/9.51 tff(declare_$i,type,$i:$tType).
% 46.38/9.51 tff(declare_$i1,type,a:$i).
% 46.38/9.51 tff(declare_$i2,type,b:$i).
% 46.38/9.51 tff(declare_$i3,type,c:$i).
% 46.38/9.51 tff(declare_$i4,type,fmb_$i_4:$i).
% 46.38/9.51 tff(declare_$i5,type,fmb_$i_5:$i).
% 46.38/9.51 tff(declare_$i6,type,fmb_$i_6:$i).
% 46.38/9.51 tff(declare_$i7,type,fmb_$i_7:$i).
% 46.38/9.51 tff(declare_$i8,type,fmb_$i_8:$i).
% 46.38/9.51 tff(declare_$i9,type,fmb_$i_9:$i).
% 46.38/9.51 tff(finite_domain,axiom,
% 46.38/9.51 ! [X:$i] : (
% 46.38/9.51 X = a | X = b | X = c | X = fmb_$i_4 | X = fmb_$i_5 |
% 46.38/9.51 X = fmb_$i_6 | X = fmb_$i_7 | X = fmb_$i_8 | X = fmb_$i_9
% 46.38/9.51 ) ).
% 46.38/9.51
% 46.38/9.51 tff(distinct_domain,axiom,
% 46.38/9.51 a != b & a != c & a != fmb_$i_4 & a != fmb_$i_5 & a != fmb_$i_6 &
% 46.38/9.51 a != fmb_$i_7 & a != fmb_$i_8 & a != fmb_$i_9 & b != c & b != fmb_$i_4 &
% 46.38/9.51 b != fmb_$i_5 & b != fmb_$i_6 & b != fmb_$i_7 & b != fmb_$i_8 & b != fmb_$i_9 &
% 46.38/9.51 c != fmb_$i_4 & c != fmb_$i_5 & c != fmb_$i_6 & c != fmb_$i_7 & c != fmb_$i_8 &
% 46.38/9.51 c != fmb_$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 &
% 46.38/9.51 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 &
% 46.38/9.51 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 &
% 46.38/9.51 fmb_$i_8 != fmb_$i_9
% 46.38/9.51 ).
% 46.38/9.51
% 46.38/9.51 tff(declare_bool,type,$o:$tType).
% 46.38/9.51 tff(declare_bool1,type,fmb_bool_1:$o).
% 46.38/9.51 tff(finite_domain,axiom,
% 46.38/9.51 ! [X:$o] : (
% 46.38/9.51 X = fmb_bool_1
% 46.38/9.51 ) ).
% 46.38/9.51
% 46.38/9.51 tff(declare_meet,type,meet: $i * $i > $i).
% 46.38/9.51 tff(function_meet,axiom,
% 46.38/9.51 meet(a,a) = a
% 46.38/9.51 & meet(a,b) = fmb_$i_6
% 46.38/9.51 & meet(a,c) = fmb_$i_6
% 46.38/9.51 & meet(a,fmb_$i_4) = a
% 46.38/9.51 & meet(a,fmb_$i_5) = a
% 46.38/9.51 & meet(a,fmb_$i_6) = fmb_$i_6
% 46.38/9.51 & meet(a,fmb_$i_7) = fmb_$i_6
% 46.38/9.51 & meet(a,fmb_$i_8) = fmb_$i_9
% 46.38/9.51 & meet(a,fmb_$i_9) = fmb_$i_9
% 46.38/9.51 & meet(b,a) = fmb_$i_6
% 46.38/9.51 & meet(b,b) = b
% 46.38/9.51 & meet(b,c) = fmb_$i_6
% 46.38/9.51 & meet(b,fmb_$i_4) = b
% 46.38/9.51 & meet(b,fmb_$i_5) = b
% 46.38/9.51 & meet(b,fmb_$i_6) = fmb_$i_6
% 46.38/9.51 & meet(b,fmb_$i_7) = fmb_$i_6
% 46.38/9.51 & meet(b,fmb_$i_8) = b
% 46.38/9.51 & meet(b,fmb_$i_9) = fmb_$i_6
% 46.38/9.51 & meet(c,a) = fmb_$i_6
% 46.38/9.51 & meet(c,b) = fmb_$i_6
% 46.38/9.51 & meet(c,c) = c
% 46.38/9.51 & meet(c,fmb_$i_4) = c
% 46.38/9.51 & meet(c,fmb_$i_5) = fmb_$i_7
% 46.38/9.51 & meet(c,fmb_$i_6) = fmb_$i_6
% 46.38/9.51 & meet(c,fmb_$i_7) = fmb_$i_7
% 46.38/9.51 & meet(c,fmb_$i_8) = fmb_$i_7
% 46.38/9.51 & meet(c,fmb_$i_9) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_4,a) = a
% 46.38/9.51 & meet(fmb_$i_4,b) = b
% 46.38/9.51 & meet(fmb_$i_4,c) = c
% 46.38/9.51 & meet(fmb_$i_4,fmb_$i_4) = fmb_$i_4
% 46.38/9.51 & meet(fmb_$i_4,fmb_$i_5) = fmb_$i_5
% 46.38/9.51 & meet(fmb_$i_4,fmb_$i_6) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_4,fmb_$i_7) = fmb_$i_7
% 46.38/9.51 & meet(fmb_$i_4,fmb_$i_8) = fmb_$i_8
% 46.38/9.51 & meet(fmb_$i_4,fmb_$i_9) = fmb_$i_9
% 46.38/9.51 & meet(fmb_$i_5,a) = a
% 46.38/9.51 & meet(fmb_$i_5,b) = b
% 46.38/9.51 & meet(fmb_$i_5,c) = fmb_$i_7
% 46.38/9.51 & meet(fmb_$i_5,fmb_$i_4) = fmb_$i_5
% 46.38/9.51 & meet(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 46.38/9.51 & meet(fmb_$i_5,fmb_$i_6) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_5,fmb_$i_7) = fmb_$i_7
% 46.38/9.51 & meet(fmb_$i_5,fmb_$i_8) = fmb_$i_8
% 46.38/9.51 & meet(fmb_$i_5,fmb_$i_9) = fmb_$i_9
% 46.38/9.51 & meet(fmb_$i_6,a) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_6,b) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_6,c) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_6,fmb_$i_4) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_6,fmb_$i_5) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_6,fmb_$i_7) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_6,fmb_$i_8) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_6,fmb_$i_9) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_7,a) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_7,b) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_7,c) = fmb_$i_7
% 46.38/9.51 & meet(fmb_$i_7,fmb_$i_4) = fmb_$i_7
% 46.38/9.51 & meet(fmb_$i_7,fmb_$i_5) = fmb_$i_7
% 46.38/9.51 & meet(fmb_$i_7,fmb_$i_6) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_7,fmb_$i_7) = fmb_$i_7
% 46.38/9.51 & meet(fmb_$i_7,fmb_$i_8) = fmb_$i_7
% 46.38/9.51 & meet(fmb_$i_7,fmb_$i_9) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_8,a) = fmb_$i_9
% 46.38/9.51 & meet(fmb_$i_8,b) = b
% 46.38/9.51 & meet(fmb_$i_8,c) = fmb_$i_7
% 46.38/9.51 & meet(fmb_$i_8,fmb_$i_4) = fmb_$i_8
% 46.38/9.51 & meet(fmb_$i_8,fmb_$i_5) = fmb_$i_8
% 46.38/9.51 & meet(fmb_$i_8,fmb_$i_6) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_8,fmb_$i_7) = fmb_$i_7
% 46.38/9.51 & meet(fmb_$i_8,fmb_$i_8) = fmb_$i_8
% 46.38/9.51 & meet(fmb_$i_8,fmb_$i_9) = fmb_$i_9
% 46.38/9.51 & meet(fmb_$i_9,a) = fmb_$i_9
% 46.38/9.51 & meet(fmb_$i_9,b) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_9,c) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_9,fmb_$i_4) = fmb_$i_9
% 46.38/9.51 & meet(fmb_$i_9,fmb_$i_5) = fmb_$i_9
% 46.38/9.51 & meet(fmb_$i_9,fmb_$i_6) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_9,fmb_$i_7) = fmb_$i_6
% 46.38/9.51 & meet(fmb_$i_9,fmb_$i_8) = fmb_$i_9
% 46.38/9.51 & meet(fmb_$i_9,fmb_$i_9) = fmb_$i_9
% 46.38/9.51
% 46.38/9.51 ).
% 46.38/9.51
% 46.38/9.51 tff(declare_join,type,join: $i * $i > $i).
% 46.38/9.51 tff(function_join,axiom,
% 46.38/9.51 join(a,a) = a
% 46.38/9.51 & join(a,b) = fmb_$i_5
% 46.38/9.51 & join(a,c) = fmb_$i_4
% 46.38/9.51 & join(a,fmb_$i_4) = fmb_$i_4
% 46.38/9.51 & join(a,fmb_$i_5) = fmb_$i_5
% 46.38/9.51 & join(a,fmb_$i_6) = a
% 46.38/9.51 & join(a,fmb_$i_7) = fmb_$i_5
% 46.38/9.51 & join(a,fmb_$i_8) = fmb_$i_5
% 46.38/9.51 & join(a,fmb_$i_9) = a
% 46.38/9.51 & join(b,a) = fmb_$i_5
% 46.38/9.51 & join(b,b) = b
% 46.38/9.51 & join(b,c) = fmb_$i_4
% 46.38/9.51 & join(b,fmb_$i_4) = fmb_$i_4
% 46.38/9.51 & join(b,fmb_$i_5) = fmb_$i_5
% 46.38/9.51 & join(b,fmb_$i_6) = b
% 46.38/9.51 & join(b,fmb_$i_7) = fmb_$i_8
% 46.38/9.51 & join(b,fmb_$i_8) = fmb_$i_8
% 46.38/9.51 & join(b,fmb_$i_9) = fmb_$i_8
% 46.38/9.51 & join(c,a) = fmb_$i_4
% 46.38/9.51 & join(c,b) = fmb_$i_4
% 46.38/9.51 & join(c,c) = c
% 46.38/9.51 & join(c,fmb_$i_4) = fmb_$i_4
% 46.38/9.51 & join(c,fmb_$i_5) = fmb_$i_4
% 46.38/9.51 & join(c,fmb_$i_6) = c
% 46.38/9.51 & join(c,fmb_$i_7) = c
% 46.38/9.51 & join(c,fmb_$i_8) = fmb_$i_4
% 46.38/9.51 & join(c,fmb_$i_9) = fmb_$i_4
% 46.38/9.51 & join(fmb_$i_4,a) = fmb_$i_4
% 46.38/9.51 & join(fmb_$i_4,b) = fmb_$i_4
% 46.38/9.51 & join(fmb_$i_4,c) = fmb_$i_4
% 46.38/9.51 & join(fmb_$i_4,fmb_$i_4) = fmb_$i_4
% 46.38/9.51 & join(fmb_$i_4,fmb_$i_5) = fmb_$i_4
% 46.38/9.51 & join(fmb_$i_4,fmb_$i_6) = fmb_$i_4
% 46.38/9.51 & join(fmb_$i_4,fmb_$i_7) = fmb_$i_4
% 46.38/9.51 & join(fmb_$i_4,fmb_$i_8) = fmb_$i_4
% 46.38/9.51 & join(fmb_$i_4,fmb_$i_9) = fmb_$i_4
% 46.38/9.51 & join(fmb_$i_5,a) = fmb_$i_5
% 46.38/9.51 & join(fmb_$i_5,b) = fmb_$i_5
% 46.38/9.51 & join(fmb_$i_5,c) = fmb_$i_4
% 46.38/9.51 & join(fmb_$i_5,fmb_$i_4) = fmb_$i_4
% 46.38/9.51 & join(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 46.38/9.51 & join(fmb_$i_5,fmb_$i_6) = fmb_$i_5
% 46.38/9.51 & join(fmb_$i_5,fmb_$i_7) = fmb_$i_5
% 46.38/9.51 & join(fmb_$i_5,fmb_$i_8) = fmb_$i_5
% 46.38/9.51 & join(fmb_$i_5,fmb_$i_9) = fmb_$i_5
% 46.38/9.51 & join(fmb_$i_6,a) = a
% 46.38/9.51 & join(fmb_$i_6,b) = b
% 46.38/9.51 & join(fmb_$i_6,c) = c
% 46.38/9.51 & join(fmb_$i_6,fmb_$i_4) = fmb_$i_4
% 46.38/9.51 & join(fmb_$i_6,fmb_$i_5) = fmb_$i_5
% 46.38/9.51 & join(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 46.38/9.51 & join(fmb_$i_6,fmb_$i_7) = fmb_$i_7
% 46.38/9.51 & join(fmb_$i_6,fmb_$i_8) = fmb_$i_8
% 46.38/9.51 & join(fmb_$i_6,fmb_$i_9) = fmb_$i_9
% 46.38/9.51 & join(fmb_$i_7,a) = fmb_$i_5
% 46.38/9.51 & join(fmb_$i_7,b) = fmb_$i_8
% 46.38/9.51 & join(fmb_$i_7,c) = c
% 46.38/9.51 & join(fmb_$i_7,fmb_$i_4) = fmb_$i_4
% 46.38/9.51 & join(fmb_$i_7,fmb_$i_5) = fmb_$i_5
% 46.38/9.51 & join(fmb_$i_7,fmb_$i_6) = fmb_$i_7
% 46.38/9.51 & join(fmb_$i_7,fmb_$i_7) = fmb_$i_7
% 46.38/9.51 & join(fmb_$i_7,fmb_$i_8) = fmb_$i_8
% 46.38/9.51 & join(fmb_$i_7,fmb_$i_9) = fmb_$i_8
% 46.38/9.51 & join(fmb_$i_8,a) = fmb_$i_5
% 46.38/9.51 & join(fmb_$i_8,b) = fmb_$i_8
% 46.38/9.51 & join(fmb_$i_8,c) = fmb_$i_4
% 46.38/9.51 & join(fmb_$i_8,fmb_$i_4) = fmb_$i_4
% 46.38/9.51 & join(fmb_$i_8,fmb_$i_5) = fmb_$i_5
% 46.38/9.51 & join(fmb_$i_8,fmb_$i_6) = fmb_$i_8
% 46.38/9.51 & join(fmb_$i_8,fmb_$i_7) = fmb_$i_8
% 46.38/9.51 & join(fmb_$i_8,fmb_$i_8) = fmb_$i_8
% 46.38/9.51 & join(fmb_$i_8,fmb_$i_9) = fmb_$i_8
% 46.38/9.51 & join(fmb_$i_9,a) = a
% 46.38/9.51 & join(fmb_$i_9,b) = fmb_$i_8
% 46.38/9.51 & join(fmb_$i_9,c) = fmb_$i_4
% 46.38/9.51 & join(fmb_$i_9,fmb_$i_4) = fmb_$i_4
% 46.38/9.51 & join(fmb_$i_9,fmb_$i_5) = fmb_$i_5
% 46.38/9.51 & join(fmb_$i_9,fmb_$i_6) = fmb_$i_9
% 46.38/9.51 & join(fmb_$i_9,fmb_$i_7) = fmb_$i_8
% 46.38/9.51 & join(fmb_$i_9,fmb_$i_8) = fmb_$i_8
% 46.38/9.51 & join(fmb_$i_9,fmb_$i_9) = fmb_$i_9
% 46.38/9.51
% 46.38/9.51 ).
% 46.38/9.51
% 46.38/9.51 % SZS output end FiniteModel for theBenchmark
% 46.38/9.51 % (26166)------------------------------
% 46.38/9.51 % (26166)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 46.38/9.51 % (26166)Termination reason: Satisfiable
% 46.38/9.51
% 46.38/9.51 % (26166)Memory used [KB]: 27494
% 46.38/9.51 % (26166)Time elapsed: 8.898 s
% 46.38/9.51 % (26166)Instructions burned: 12370 (million)
% 46.38/9.51 % (26166)------------------------------
% 46.38/9.51 % (26166)------------------------------
% 46.38/9.51 % (26162)Success in time 9.106 s
%------------------------------------------------------------------------------