TSTP Solution File: LAT101-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT101-1 : 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 : n032.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 13:20:43 EDT 2024
% Result : Satisfiable 54.77s 8.12s
% Output : FiniteModel 54.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : LAT101-1 : TPTP v8.1.2. Released v3.1.0.
% 0.02/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Mon Apr 29 21:54:35 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.09/0.28 % (21567)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.29 % (21568)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.09/0.29 % (21572)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)
% 0.09/0.29 % (21569)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.09/0.30 % (21570)WARNING: value z3 for option sas not known
% 0.09/0.30 TRYING [1]
% 0.09/0.30 % (21570)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)
% 0.09/0.30 TRYING [2]
% 0.09/0.30 % (21573)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)
% 0.09/0.30 % (21571)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.09/0.30 % (21574)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)
% 0.09/0.30 TRYING [1]
% 0.09/0.30 TRYING [2]
% 0.09/0.30 TRYING [3]
% 0.09/0.30 TRYING [3]
% 0.13/0.32 TRYING [4]
% 0.13/0.33 TRYING [4]
% 0.13/0.38 TRYING [5]
% 0.13/0.47 TRYING [5]
% 0.13/0.57 TRYING [6]
% 4.32/0.90 TRYING [6]
% 5.37/1.07 TRYING [7]
% 7.42/1.39 TRYING [1]
% 7.42/1.39 TRYING [2]
% 7.42/1.40 TRYING [3]
% 7.42/1.41 TRYING [4]
% 8.34/1.48 TRYING [5]
% 9.55/1.69 TRYING [6]
% 13.56/2.25 TRYING [7]
% 13.56/2.31 TRYING [7]
% 14.90/2.48 TRYING [8]
% 24.15/3.79 TRYING [8]
% 32.48/5.02 TRYING [9]
% 34.12/5.19 TRYING [8]
% 40.63/6.12 TRYING [9]
% 54.77/8.12 Finite Model Found!
% 54.77/8.12 % SZS status Satisfiable for theBenchmark
% 54.77/8.14 % (21571)First to succeed.
% 54.77/8.14 % SZS output start FiniteModel for theBenchmark
% 54.77/8.14 tff(declare_$i,type,$i:$tType).
% 54.77/8.14 tff(declare_$i1,type,a:$i).
% 54.77/8.14 tff(declare_$i2,type,b:$i).
% 54.77/8.14 tff(declare_$i3,type,c:$i).
% 54.77/8.14 tff(declare_$i4,type,fmb_$i_4:$i).
% 54.77/8.14 tff(declare_$i5,type,fmb_$i_5:$i).
% 54.77/8.14 tff(declare_$i6,type,fmb_$i_6:$i).
% 54.77/8.14 tff(declare_$i7,type,fmb_$i_7:$i).
% 54.77/8.14 tff(declare_$i8,type,fmb_$i_8:$i).
% 54.77/8.14 tff(declare_$i9,type,fmb_$i_9:$i).
% 54.77/8.14 tff(finite_domain,axiom,
% 54.77/8.14 ! [X:$i] : (
% 54.77/8.14 X = a | X = b | X = c | X = fmb_$i_4 | X = fmb_$i_5 |
% 54.77/8.14 X = fmb_$i_6 | X = fmb_$i_7 | X = fmb_$i_8 | X = fmb_$i_9
% 54.77/8.14 ) ).
% 54.77/8.14
% 54.77/8.14 tff(distinct_domain,axiom,
% 54.77/8.14 a != b & a != c & a != fmb_$i_4 & a != fmb_$i_5 & a != fmb_$i_6 &
% 54.77/8.14 a != fmb_$i_7 & a != fmb_$i_8 & a != fmb_$i_9 & b != c & b != fmb_$i_4 &
% 54.77/8.14 b != fmb_$i_5 & b != fmb_$i_6 & b != fmb_$i_7 & b != fmb_$i_8 & b != fmb_$i_9 &
% 54.77/8.14 c != fmb_$i_4 & c != fmb_$i_5 & c != fmb_$i_6 & c != fmb_$i_7 & c != fmb_$i_8 &
% 54.77/8.14 c != fmb_$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 &
% 54.77/8.14 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 &
% 54.77/8.14 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 &
% 54.77/8.14 fmb_$i_8 != fmb_$i_9
% 54.77/8.14 ).
% 54.77/8.14
% 54.77/8.14 tff(declare_bool,type,$o:$tType).
% 54.77/8.14 tff(declare_bool1,type,fmb_bool_1:$o).
% 54.77/8.14 tff(finite_domain,axiom,
% 54.77/8.14 ! [X:$o] : (
% 54.77/8.14 X = fmb_bool_1
% 54.77/8.14 ) ).
% 54.77/8.14
% 54.77/8.14 tff(declare_meet,type,meet: $i * $i > $i).
% 54.77/8.14 tff(function_meet,axiom,
% 54.77/8.14 meet(a,a) = a
% 54.77/8.14 & meet(a,b) = fmb_$i_4
% 54.77/8.14 & meet(a,c) = fmb_$i_4
% 54.77/8.14 & meet(a,fmb_$i_4) = fmb_$i_4
% 54.77/8.14 & meet(a,fmb_$i_5) = fmb_$i_4
% 54.77/8.14 & meet(a,fmb_$i_6) = a
% 54.77/8.14 & meet(a,fmb_$i_7) = fmb_$i_8
% 54.77/8.14 & meet(a,fmb_$i_8) = fmb_$i_8
% 54.77/8.14 & meet(a,fmb_$i_9) = fmb_$i_8
% 54.77/8.14 & meet(b,a) = fmb_$i_4
% 54.77/8.14 & meet(b,b) = b
% 54.77/8.14 & meet(b,c) = fmb_$i_5
% 54.77/8.14 & meet(b,fmb_$i_4) = fmb_$i_4
% 54.77/8.14 & meet(b,fmb_$i_5) = fmb_$i_5
% 54.77/8.14 & meet(b,fmb_$i_6) = b
% 54.77/8.14 & meet(b,fmb_$i_7) = b
% 54.77/8.14 & meet(b,fmb_$i_8) = fmb_$i_4
% 54.77/8.14 & meet(b,fmb_$i_9) = fmb_$i_5
% 54.77/8.14 & meet(c,a) = fmb_$i_4
% 54.77/8.14 & meet(c,b) = fmb_$i_5
% 54.77/8.14 & meet(c,c) = c
% 54.77/8.14 & meet(c,fmb_$i_4) = fmb_$i_4
% 54.77/8.14 & meet(c,fmb_$i_5) = fmb_$i_5
% 54.77/8.14 & meet(c,fmb_$i_6) = c
% 54.77/8.14 & meet(c,fmb_$i_7) = c
% 54.77/8.14 & meet(c,fmb_$i_8) = fmb_$i_4
% 54.77/8.14 & meet(c,fmb_$i_9) = fmb_$i_5
% 54.77/8.14 & meet(fmb_$i_4,a) = fmb_$i_4
% 54.77/8.14 & meet(fmb_$i_4,b) = fmb_$i_4
% 54.77/8.14 & meet(fmb_$i_4,c) = fmb_$i_4
% 54.77/8.14 & meet(fmb_$i_4,fmb_$i_4) = fmb_$i_4
% 54.77/8.14 & meet(fmb_$i_4,fmb_$i_5) = fmb_$i_4
% 54.77/8.14 & meet(fmb_$i_4,fmb_$i_6) = fmb_$i_4
% 54.77/8.14 & meet(fmb_$i_4,fmb_$i_7) = fmb_$i_4
% 54.77/8.14 & meet(fmb_$i_4,fmb_$i_8) = fmb_$i_4
% 54.77/8.14 & meet(fmb_$i_4,fmb_$i_9) = fmb_$i_4
% 54.77/8.14 & meet(fmb_$i_5,a) = fmb_$i_4
% 54.77/8.14 & meet(fmb_$i_5,b) = fmb_$i_5
% 54.77/8.14 & meet(fmb_$i_5,c) = fmb_$i_5
% 54.77/8.14 & meet(fmb_$i_5,fmb_$i_4) = fmb_$i_4
% 54.77/8.14 & meet(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 54.77/8.14 & meet(fmb_$i_5,fmb_$i_6) = fmb_$i_5
% 54.77/8.14 & meet(fmb_$i_5,fmb_$i_7) = fmb_$i_5
% 54.77/8.14 & meet(fmb_$i_5,fmb_$i_8) = fmb_$i_4
% 54.77/8.14 & meet(fmb_$i_5,fmb_$i_9) = fmb_$i_5
% 54.77/8.14 & meet(fmb_$i_6,a) = a
% 54.77/8.14 & meet(fmb_$i_6,b) = b
% 54.77/8.14 & meet(fmb_$i_6,c) = c
% 54.77/8.14 & meet(fmb_$i_6,fmb_$i_4) = fmb_$i_4
% 54.77/8.14 & meet(fmb_$i_6,fmb_$i_5) = fmb_$i_5
% 54.77/8.14 & meet(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 54.77/8.14 & meet(fmb_$i_6,fmb_$i_7) = fmb_$i_7
% 54.77/8.14 & meet(fmb_$i_6,fmb_$i_8) = fmb_$i_8
% 54.77/8.14 & meet(fmb_$i_6,fmb_$i_9) = fmb_$i_9
% 54.77/8.14 & meet(fmb_$i_7,a) = fmb_$i_8
% 54.77/8.14 & meet(fmb_$i_7,b) = b
% 54.77/8.14 & meet(fmb_$i_7,c) = c
% 54.77/8.14 & meet(fmb_$i_7,fmb_$i_4) = fmb_$i_4
% 54.77/8.14 & meet(fmb_$i_7,fmb_$i_5) = fmb_$i_5
% 54.77/8.14 & meet(fmb_$i_7,fmb_$i_6) = fmb_$i_7
% 54.77/8.14 & meet(fmb_$i_7,fmb_$i_7) = fmb_$i_7
% 54.77/8.14 & meet(fmb_$i_7,fmb_$i_8) = fmb_$i_8
% 54.77/8.14 & meet(fmb_$i_7,fmb_$i_9) = fmb_$i_9
% 54.77/8.14 & meet(fmb_$i_8,a) = fmb_$i_8
% 54.77/8.14 & meet(fmb_$i_8,b) = fmb_$i_4
% 54.77/8.14 & meet(fmb_$i_8,c) = fmb_$i_4
% 54.77/8.14 & meet(fmb_$i_8,fmb_$i_4) = fmb_$i_4
% 54.77/8.14 & meet(fmb_$i_8,fmb_$i_5) = fmb_$i_4
% 54.77/8.14 & meet(fmb_$i_8,fmb_$i_6) = fmb_$i_8
% 54.77/8.14 & meet(fmb_$i_8,fmb_$i_7) = fmb_$i_8
% 54.77/8.14 & meet(fmb_$i_8,fmb_$i_8) = fmb_$i_8
% 54.77/8.14 & meet(fmb_$i_8,fmb_$i_9) = fmb_$i_8
% 54.77/8.14 & meet(fmb_$i_9,a) = fmb_$i_8
% 54.77/8.14 & meet(fmb_$i_9,b) = fmb_$i_5
% 54.77/8.14 & meet(fmb_$i_9,c) = fmb_$i_5
% 54.77/8.14 & meet(fmb_$i_9,fmb_$i_4) = fmb_$i_4
% 54.77/8.14 & meet(fmb_$i_9,fmb_$i_5) = fmb_$i_5
% 54.77/8.14 & meet(fmb_$i_9,fmb_$i_6) = fmb_$i_9
% 54.77/8.14 & meet(fmb_$i_9,fmb_$i_7) = fmb_$i_9
% 54.77/8.14 & meet(fmb_$i_9,fmb_$i_8) = fmb_$i_8
% 54.77/8.14 & meet(fmb_$i_9,fmb_$i_9) = fmb_$i_9
% 54.77/8.14
% 54.77/8.14 ).
% 54.77/8.14
% 54.77/8.14 tff(declare_join,type,join: $i * $i > $i).
% 54.77/8.14 tff(function_join,axiom,
% 54.77/8.14 join(a,a) = a
% 54.77/8.14 & join(a,b) = fmb_$i_6
% 54.77/8.14 & join(a,c) = fmb_$i_6
% 54.77/8.14 & join(a,fmb_$i_4) = a
% 54.77/8.14 & join(a,fmb_$i_5) = fmb_$i_6
% 54.77/8.14 & join(a,fmb_$i_6) = fmb_$i_6
% 54.77/8.14 & join(a,fmb_$i_7) = fmb_$i_6
% 54.77/8.14 & join(a,fmb_$i_8) = a
% 54.77/8.14 & join(a,fmb_$i_9) = fmb_$i_6
% 54.77/8.14 & join(b,a) = fmb_$i_6
% 54.77/8.14 & join(b,b) = b
% 54.77/8.14 & join(b,c) = fmb_$i_7
% 54.77/8.14 & join(b,fmb_$i_4) = b
% 54.77/8.14 & join(b,fmb_$i_5) = b
% 54.77/8.14 & join(b,fmb_$i_6) = fmb_$i_6
% 54.77/8.14 & join(b,fmb_$i_7) = fmb_$i_7
% 54.77/8.14 & join(b,fmb_$i_8) = fmb_$i_7
% 54.77/8.14 & join(b,fmb_$i_9) = fmb_$i_7
% 54.77/8.14 & join(c,a) = fmb_$i_6
% 54.77/8.14 & join(c,b) = fmb_$i_7
% 54.77/8.14 & join(c,c) = c
% 54.77/8.14 & join(c,fmb_$i_4) = c
% 54.77/8.14 & join(c,fmb_$i_5) = c
% 54.77/8.14 & join(c,fmb_$i_6) = fmb_$i_6
% 54.77/8.14 & join(c,fmb_$i_7) = fmb_$i_7
% 54.77/8.14 & join(c,fmb_$i_8) = fmb_$i_7
% 54.77/8.14 & join(c,fmb_$i_9) = fmb_$i_7
% 54.77/8.14 & join(fmb_$i_4,a) = a
% 54.77/8.14 & join(fmb_$i_4,b) = b
% 54.77/8.14 & join(fmb_$i_4,c) = c
% 54.77/8.14 & join(fmb_$i_4,fmb_$i_4) = fmb_$i_4
% 54.77/8.14 & join(fmb_$i_4,fmb_$i_5) = fmb_$i_5
% 54.77/8.14 & join(fmb_$i_4,fmb_$i_6) = fmb_$i_6
% 54.77/8.14 & join(fmb_$i_4,fmb_$i_7) = fmb_$i_7
% 54.77/8.14 & join(fmb_$i_4,fmb_$i_8) = fmb_$i_8
% 54.77/8.14 & join(fmb_$i_4,fmb_$i_9) = fmb_$i_9
% 54.77/8.14 & join(fmb_$i_5,a) = fmb_$i_6
% 54.77/8.14 & join(fmb_$i_5,b) = b
% 54.77/8.14 & join(fmb_$i_5,c) = c
% 54.77/8.14 & join(fmb_$i_5,fmb_$i_4) = fmb_$i_5
% 54.77/8.14 & join(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 54.77/8.14 & join(fmb_$i_5,fmb_$i_6) = fmb_$i_6
% 54.77/8.14 & join(fmb_$i_5,fmb_$i_7) = fmb_$i_7
% 54.77/8.14 & join(fmb_$i_5,fmb_$i_8) = fmb_$i_9
% 54.77/8.14 & join(fmb_$i_5,fmb_$i_9) = fmb_$i_9
% 54.77/8.14 & join(fmb_$i_6,a) = fmb_$i_6
% 54.77/8.14 & join(fmb_$i_6,b) = fmb_$i_6
% 54.77/8.14 & join(fmb_$i_6,c) = fmb_$i_6
% 54.77/8.14 & join(fmb_$i_6,fmb_$i_4) = fmb_$i_6
% 54.77/8.14 & join(fmb_$i_6,fmb_$i_5) = fmb_$i_6
% 54.77/8.14 & join(fmb_$i_6,fmb_$i_6) = fmb_$i_6
% 54.77/8.14 & join(fmb_$i_6,fmb_$i_7) = fmb_$i_6
% 54.77/8.14 & join(fmb_$i_6,fmb_$i_8) = fmb_$i_6
% 54.77/8.14 & join(fmb_$i_6,fmb_$i_9) = fmb_$i_6
% 54.77/8.14 & join(fmb_$i_7,a) = fmb_$i_6
% 54.77/8.14 & join(fmb_$i_7,b) = fmb_$i_7
% 54.77/8.14 & join(fmb_$i_7,c) = fmb_$i_7
% 54.77/8.14 & join(fmb_$i_7,fmb_$i_4) = fmb_$i_7
% 54.77/8.14 & join(fmb_$i_7,fmb_$i_5) = fmb_$i_7
% 54.77/8.14 & join(fmb_$i_7,fmb_$i_6) = fmb_$i_6
% 54.77/8.14 & join(fmb_$i_7,fmb_$i_7) = fmb_$i_7
% 54.77/8.14 & join(fmb_$i_7,fmb_$i_8) = fmb_$i_7
% 54.77/8.14 & join(fmb_$i_7,fmb_$i_9) = fmb_$i_7
% 54.77/8.14 & join(fmb_$i_8,a) = a
% 54.77/8.14 & join(fmb_$i_8,b) = fmb_$i_7
% 54.77/8.14 & join(fmb_$i_8,c) = fmb_$i_7
% 54.77/8.14 & join(fmb_$i_8,fmb_$i_4) = fmb_$i_8
% 54.77/8.14 & join(fmb_$i_8,fmb_$i_5) = fmb_$i_9
% 54.77/8.14 & join(fmb_$i_8,fmb_$i_6) = fmb_$i_6
% 54.77/8.14 & join(fmb_$i_8,fmb_$i_7) = fmb_$i_7
% 54.77/8.14 & join(fmb_$i_8,fmb_$i_8) = fmb_$i_8
% 54.77/8.14 & join(fmb_$i_8,fmb_$i_9) = fmb_$i_9
% 54.77/8.14 & join(fmb_$i_9,a) = fmb_$i_6
% 54.77/8.14 & join(fmb_$i_9,b) = fmb_$i_7
% 54.77/8.14 & join(fmb_$i_9,c) = fmb_$i_7
% 54.77/8.14 & join(fmb_$i_9,fmb_$i_4) = fmb_$i_9
% 54.77/8.14 & join(fmb_$i_9,fmb_$i_5) = fmb_$i_9
% 54.77/8.14 & join(fmb_$i_9,fmb_$i_6) = fmb_$i_6
% 54.77/8.14 & join(fmb_$i_9,fmb_$i_7) = fmb_$i_7
% 54.77/8.14 & join(fmb_$i_9,fmb_$i_8) = fmb_$i_9
% 54.77/8.14 & join(fmb_$i_9,fmb_$i_9) = fmb_$i_9
% 54.77/8.14
% 54.77/8.14 ).
% 54.77/8.14
% 54.77/8.14 % SZS output end FiniteModel for theBenchmark
% 54.77/8.14 % (21571)------------------------------
% 54.77/8.14 % (21571)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 54.77/8.14 % (21571)Termination reason: Satisfiable
% 54.77/8.14
% 54.77/8.14 % (21571)Memory used [KB]: 52359
% 54.77/8.14 % (21571)Time elapsed: 7.841 s
% 54.77/8.14 % (21571)Instructions burned: 28167 (million)
% 54.77/8.14 % (21571)------------------------------
% 54.77/8.14 % (21571)------------------------------
% 54.77/8.14 % (21567)Success in time 7.811 s
%------------------------------------------------------------------------------