TSTP Solution File: LCL948_10 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : LCL948_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n001.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 : Mon Jun 24 11:43:18 EDT 2024
% Result : CounterSatisfiable 2.63s 0.82s
% Output : FiniteModel 2.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL948_10 : TPTP v8.2.0. Released v8.2.0.
% 0.08/0.13 % Command : run_vampire %s %d SAT
% 0.12/0.34 % Computer : n001.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 : Sat Jun 22 13:20:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a TF0_CSA_NEQ_NAR problem
% 0.12/0.36 Running first-order model finding
% 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.42 % (20297)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (20300)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.21/0.42 % (20297)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (20298)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.21/0.42 % (20297)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (20302)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.21/0.42 % (20297)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (20299)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:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.21/0.42 % (20297)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (20301)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.21/0.43 % (20297)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (20303)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.21/0.43 % (20297)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (20304)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.21/0.47 % (20302)Instruction limit reached!
% 0.21/0.47 % (20302)------------------------------
% 0.21/0.47 % (20302)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (20302)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (20302)Termination reason: Time limit
% 0.21/0.47 % (20302)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (20302)Memory used [KB]: 1699
% 0.21/0.47 % (20302)Time elapsed: 0.052 s
% 0.21/0.47 % (20302)Instructions burned: 105 (million)
% 0.21/0.48 TRYING [1]
% 0.21/0.48 % (20304)Instruction limit reached!
% 0.21/0.48 % (20304)------------------------------
% 0.21/0.48 % (20304)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (20304)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (20304)Termination reason: Time limit
% 0.21/0.48 % (20304)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (20304)Memory used [KB]: 2510
% 0.21/0.48 % (20304)Time elapsed: 0.060 s
% 0.21/0.48 % (20304)Instructions burned: 116 (million)
% 0.21/0.49 TRYING [2]
% 0.21/0.50 % (20303)Instruction limit reached!
% 0.21/0.50 % (20303)------------------------------
% 0.21/0.50 % (20303)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50 % (20303)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50 % (20303)Termination reason: Time limit
% 0.21/0.50 % (20303)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (20303)Memory used [KB]: 2326
% 0.21/0.50 % (20303)Time elapsed: 0.074 s
% 0.21/0.50 % (20303)Instructions burned: 146 (million)
% 1.17/0.52 % (20297)Running in auto input_syntax mode. Trying TPTP
% 1.17/0.52 % (20305)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 1.17/0.52 % (20297)Running in auto input_syntax mode. Trying TPTP
% 1.17/0.52 % (20306)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 1.29/0.57 TRYING [3]
% 1.29/0.57 % (20297)Running in auto input_syntax mode. Trying TPTP
% 1.29/0.57 % (20307)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.29/0.58 % (20306)Instruction limit reached!
% 1.29/0.58 % (20306)------------------------------
% 1.29/0.58 % (20306)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.29/0.58 % (20306)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.29/0.58 % (20306)Termination reason: Time limit
% 1.29/0.58 % (20306)Termination phase: Saturation
% 1.29/0.58
% 1.29/0.58 % (20306)Memory used [KB]: 3721
% 1.29/0.58 % (20306)Time elapsed: 0.057 s
% 1.29/0.58 % (20306)Instructions burned: 177 (million)
% 1.29/0.62 % (20297)Running in auto input_syntax mode. Trying TPTP
% 1.29/0.62 % (20308)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 1.81/0.63 % (20305)Instruction limit reached!
% 1.81/0.63 % (20305)------------------------------
% 1.81/0.63 % (20305)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.81/0.63 % (20305)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.81/0.63 % (20305)Termination reason: Time limit
% 1.81/0.63 % (20305)Termination phase: Saturation
% 1.81/0.63
% 1.81/0.63 % (20305)Memory used [KB]: 4315
% 1.81/0.63 % (20305)Time elapsed: 0.118 s
% 1.81/0.63 % (20305)Instructions burned: 406 (million)
% 1.81/0.64 % (20307)Instruction limit reached!
% 1.81/0.64 % (20307)------------------------------
% 1.81/0.64 % (20307)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.81/0.64 % (20307)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.81/0.64 % (20307)Termination reason: Time limit
% 1.81/0.64 % (20307)Termination phase: Saturation
% 1.81/0.64
% 1.81/0.64 % (20307)Memory used [KB]: 3305
% 1.81/0.64 % (20307)Time elapsed: 0.067 s
% 1.81/0.64 % (20307)Instructions burned: 270 (million)
% 1.81/0.67 % (20297)Running in auto input_syntax mode. Trying TPTP
% 1.81/0.67 % (20310)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2997ds/2145Mi)
% 1.81/0.67 % (20297)Running in auto input_syntax mode. Trying TPTP
% 1.81/0.67 % (20309)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 1.81/0.69 TRYING [1]
% 1.81/0.69 TRYING [2]
% 2.23/0.73 TRYING [3]
% 2.63/0.82 Finite Model Found!
% 2.63/0.82 % SZS status CounterSatisfiable for theBenchmark
% 2.63/0.82 % (20300)First to succeed.
% 2.63/0.82 % (20300)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20297"
% 2.63/0.82 % (20297)Running in auto input_syntax mode. Trying TPTP
% 2.63/0.82 % SZS output start FiniteModel for theBenchmark
% 2.63/0.82 tff('declare_$i1',type,empty_set:$i).
% 2.63/0.82 tff('declare_$i2',type,'fmb_$i_2':$i).
% 2.63/0.82 tff('declare_$i3',type,'fmb_$i_3':$i).
% 2.63/0.82 tff('finite_domain_$i',axiom,
% 2.63/0.82 ! [X:$i] : (
% 2.63/0.82 X = empty_set | X = 'fmb_$i_2' | X = 'fmb_$i_3'
% 2.63/0.82 ) ).
% 2.63/0.82
% 2.63/0.82 tff('distinct_domain_$i',axiom,
% 2.63/0.82 empty_set != 'fmb_$i_2' & empty_set != 'fmb_$i_3' & 'fmb_$i_2' != 'fmb_$i_3'
% 2.63/0.82 ).
% 2.63/0.82
% 2.63/0.82 tff('declare_$ki_world',type,'$ki_world':$tType).
% 2.63/0.82 tff('declare_$ki_world1',type,'$ki_local_world':'$ki_world').
% 2.63/0.82 tff('declare_$ki_world2',type,'fmb_$ki_world'_2:'$ki_world').
% 2.63/0.82 tff('declare_$ki_world3',type,'fmb_$ki_world'_3:'$ki_world').
% 2.63/0.82 tff('finite_domain_$ki_world',axiom,
% 2.63/0.82 ! [X:'$ki_world'] : (
% 2.63/0.82 X = '$ki_local_world' | X = 'fmb_$ki_world'_2 | X = 'fmb_$ki_world'_3
% 2.63/0.82 ) ).
% 2.63/0.82
% 2.63/0.82 tff('distinct_domain_$ki_world',axiom,
% 2.63/0.82 '$ki_local_world' != 'fmb_$ki_world'_2 & '$ki_local_world' != 'fmb_$ki_world'_3 & 'fmb_$ki_world'_2 != 'fmb_$ki_world'_3
% 2.63/0.82 ).
% 2.63/0.82
% 2.63/0.82 tff(declare_singleton,type,singleton: ($i) > $i).
% 2.63/0.82 tff(function_singleton,axiom,
% 2.63/0.82 singleton(empty_set) = 'fmb_$i_3'
% 2.63/0.82 & singleton('fmb_$i_2') = 'fmb_$i_3'
% 2.63/0.82 & singleton('fmb_$i_3') = 'fmb_$i_3'
% 2.63/0.82
% 2.63/0.82 ).
% 2.63/0.82
% 2.63/0.82 tff(declare_product,type,product: ($i) > $i).
% 2.63/0.82 tff(function_product,axiom,
% 2.63/0.82 product(empty_set) = 'fmb_$i_3'
% 2.63/0.82 & product('fmb_$i_2') = 'fmb_$i_3'
% 2.63/0.82 & product('fmb_$i_3') = 'fmb_$i_3'
% 2.63/0.82
% 2.63/0.82 ).
% 2.63/0.82
% 2.63/0.82 tff(declare_unordered_pair,type,unordered_pair: ($i * $i) > $i).
% 2.63/0.82 tff(function_unordered_pair,axiom,
% 2.63/0.82 unordered_pair(empty_set,empty_set) = 'fmb_$i_3'
% 2.63/0.82 & unordered_pair(empty_set,'fmb_$i_2') = empty_set
% 2.63/0.82 & unordered_pair(empty_set,'fmb_$i_3') = empty_set
% 2.63/0.82 & unordered_pair('fmb_$i_2',empty_set) = 'fmb_$i_2'
% 2.63/0.82 & unordered_pair('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2'
% 2.63/0.82 & unordered_pair('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3'
% 2.63/0.82 & unordered_pair('fmb_$i_3',empty_set) = 'fmb_$i_3'
% 2.63/0.82 & unordered_pair('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2'
% 2.63/0.82 & unordered_pair('fmb_$i_3','fmb_$i_3') = empty_set
% 2.63/0.82
% 2.63/0.82 ).
% 2.63/0.82
% 2.63/0.82 tff(declare_intersection,type,intersection: ($i * $i) > $i).
% 2.63/0.82 tff(function_intersection,axiom,
% 2.63/0.82 intersection(empty_set,empty_set) = 'fmb_$i_2'
% 2.63/0.82 & intersection(empty_set,'fmb_$i_2') = 'fmb_$i_2'
% 2.63/0.82 & intersection(empty_set,'fmb_$i_3') = empty_set
% 2.63/0.82 & intersection('fmb_$i_2',empty_set) = 'fmb_$i_2'
% 2.63/0.82 & intersection('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2'
% 2.63/0.82 & intersection('fmb_$i_2','fmb_$i_3') = 'fmb_$i_2'
% 2.63/0.82 & intersection('fmb_$i_3',empty_set) = empty_set
% 2.63/0.82 & intersection('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2'
% 2.63/0.82 & intersection('fmb_$i_3','fmb_$i_3') = empty_set
% 2.63/0.82
% 2.63/0.82 ).
% 2.63/0.82
% 2.63/0.82 tff(declare_difference,type,difference: ($i * $i) > $i).
% 2.63/0.82 tff(function_difference,axiom,
% 2.63/0.82 difference(empty_set,empty_set) = 'fmb_$i_2'
% 2.63/0.82 & difference(empty_set,'fmb_$i_2') = 'fmb_$i_3'
% 2.63/0.82 & difference(empty_set,'fmb_$i_3') = 'fmb_$i_3'
% 2.63/0.82 & difference('fmb_$i_2',empty_set) = empty_set
% 2.63/0.82 & difference('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3'
% 2.63/0.82 & difference('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3'
% 2.63/0.82 & difference('fmb_$i_3',empty_set) = 'fmb_$i_3'
% 2.63/0.82 & difference('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3'
% 2.63/0.82 & difference('fmb_$i_3','fmb_$i_3') = 'fmb_$i_2'
% 2.63/0.82
% 2.63/0.82 ).
% 2.63/0.82
% 2.63/0.82 tff(declare_sum,type,sum: ($i) > $i).
% 2.63/0.82 tff(function_sum,axiom,
% 2.63/0.82 sum(empty_set) = 'fmb_$i_2'
% 2.63/0.82 & sum('fmb_$i_2') = 'fmb_$i_2'
% 2.63/0.82 & sum('fmb_$i_3') = 'fmb_$i_2'
% 2.63/0.82
% 2.63/0.82 ).
% 2.63/0.82
% 2.63/0.82 tff(declare_union,type,union: ($i * $i) > $i).
% 2.63/0.82 tff(function_union,axiom,
% 2.63/0.82 union(empty_set,empty_set) = 'fmb_$i_2'
% 2.63/0.82 & union(empty_set,'fmb_$i_2') = empty_set
% 2.63/0.82 & union(empty_set,'fmb_$i_3') = empty_set
% 2.63/0.82 & union('fmb_$i_2',empty_set) = empty_set
% 2.63/0.82 & union('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2'
% 2.63/0.82 & union('fmb_$i_2','fmb_$i_3') = empty_set
% 2.63/0.82 & union('fmb_$i_3',empty_set) = 'fmb_$i_2'
% 2.63/0.82 & union('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2'
% 2.63/0.82 & union('fmb_$i_3','fmb_$i_3') = 'fmb_$i_2'
% 2.63/0.82
% 2.63/0.82 ).
% 2.63/0.82
% 2.63/0.82 tff(declare_power_set,type,power_set: ($i) > $i).
% 2.63/0.82 tff(function_power_set,axiom,
% 2.63/0.82 power_set(empty_set) = 'fmb_$i_3'
% 2.63/0.82 & power_set('fmb_$i_2') = 'fmb_$i_3'
% 2.63/0.82 & power_set('fmb_$i_3') = 'fmb_$i_3'
% 2.63/0.82
% 2.63/0.82 ).
% 2.63/0.82
% 2.63/0.82 tff('declare_$ki_accessible',type,'$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 2.63/0.82 tff('predicate_$ki_accessible',axiom,
% 2.63/0.82 '$ki_accessible'('$ki_local_world','$ki_local_world')
% 2.63/0.82 & ~'$ki_accessible'('$ki_local_world','fmb_$ki_world'_2)
% 2.63/0.82 & ~'$ki_accessible'('$ki_local_world','fmb_$ki_world'_3)
% 2.63/0.82 & ~'$ki_accessible'('fmb_$ki_world'_2,'$ki_local_world')
% 2.63/0.82 & '$ki_accessible'('fmb_$ki_world'_2,'fmb_$ki_world'_2)
% 2.63/0.82 & ~'$ki_accessible'('fmb_$ki_world'_2,'fmb_$ki_world'_3)
% 2.63/0.82 & ~'$ki_accessible'('fmb_$ki_world'_3,'$ki_local_world')
% 2.63/0.82 & ~'$ki_accessible'('fmb_$ki_world'_3,'fmb_$ki_world'_2)
% 2.63/0.82 & '$ki_accessible'('fmb_$ki_world'_3,'fmb_$ki_world'_3)
% 2.63/0.82
% 2.63/0.82 ).
% 2.63/0.82
% 2.63/0.82 tff(declare_qmltpeq,type,qmltpeq: ('$ki_world' * $i * $i) > $o).
% 2.63/0.82 tff(predicate_qmltpeq,axiom,
% 2.63/0.82 qmltpeq('$ki_local_world',empty_set,empty_set)
% 2.63/0.82 & qmltpeq('$ki_local_world',empty_set,'fmb_$i_2')
% 2.63/0.82 & qmltpeq('$ki_local_world',empty_set,'fmb_$i_3')
% 2.63/0.82 & qmltpeq('$ki_local_world','fmb_$i_2',empty_set)
% 2.63/0.82 & qmltpeq('$ki_local_world','fmb_$i_2','fmb_$i_2')
% 2.63/0.82 & ~qmltpeq('$ki_local_world','fmb_$i_2','fmb_$i_3')
% 2.63/0.82 & qmltpeq('$ki_local_world','fmb_$i_3',empty_set)
% 2.63/0.82 & qmltpeq('$ki_local_world','fmb_$i_3','fmb_$i_2')
% 2.63/0.82 & qmltpeq('$ki_local_world','fmb_$i_3','fmb_$i_3')
% 2.63/0.82 & qmltpeq('fmb_$ki_world'_2,empty_set,empty_set)
% 2.63/0.82 & qmltpeq('fmb_$ki_world'_2,empty_set,'fmb_$i_2')
% 2.63/0.82 & qmltpeq('fmb_$ki_world'_2,empty_set,'fmb_$i_3')
% 2.63/0.82 & qmltpeq('fmb_$ki_world'_2,'fmb_$i_2',empty_set)
% 2.63/0.82 & ~qmltpeq('fmb_$ki_world'_2,'fmb_$i_2','fmb_$i_2')
% 2.63/0.82 & qmltpeq('fmb_$ki_world'_2,'fmb_$i_2','fmb_$i_3')
% 2.63/0.82 & ~qmltpeq('fmb_$ki_world'_2,'fmb_$i_3',empty_set)
% 2.63/0.82 & qmltpeq('fmb_$ki_world'_2,'fmb_$i_3','fmb_$i_2')
% 2.63/0.82 & qmltpeq('fmb_$ki_world'_2,'fmb_$i_3','fmb_$i_3')
% 2.63/0.82 & ~qmltpeq('fmb_$ki_world'_3,empty_set,empty_set)
% 2.63/0.82 & ~qmltpeq('fmb_$ki_world'_3,empty_set,'fmb_$i_2')
% 2.63/0.82 & ~qmltpeq('fmb_$ki_world'_3,empty_set,'fmb_$i_3')
% 2.63/0.82 & qmltpeq('fmb_$ki_world'_3,'fmb_$i_2',empty_set)
% 2.63/0.82 & qmltpeq('fmb_$ki_world'_3,'fmb_$i_2','fmb_$i_2')
% 2.63/0.82 & qmltpeq('fmb_$ki_world'_3,'fmb_$i_2','fmb_$i_3')
% 2.63/0.82 & qmltpeq('fmb_$ki_world'_3,'fmb_$i_3',empty_set)
% 2.63/0.82 & qmltpeq('fmb_$ki_world'_3,'fmb_$i_3','fmb_$i_2')
% 2.63/0.82 & qmltpeq('fmb_$ki_world'_3,'fmb_$i_3','fmb_$i_3')
% 2.63/0.82
% 2.63/0.82 ).
% 2.63/0.82
% 2.63/0.82 tff(declare_equal_set,type,equal_set: ('$ki_world' * $i * $i) > $o).
% 2.63/0.82 tff(predicate_equal_set,axiom,
% 2.63/0.82 equal_set('$ki_local_world',empty_set,empty_set)
% 2.63/0.82 & equal_set('$ki_local_world',empty_set,'fmb_$i_2')
% 2.63/0.82 & equal_set('$ki_local_world',empty_set,'fmb_$i_3')
% 2.63/0.82 & ~equal_set('$ki_local_world','fmb_$i_2',empty_set)
% 2.63/0.82 & equal_set('$ki_local_world','fmb_$i_2','fmb_$i_2')
% 2.63/0.82 & ~equal_set('$ki_local_world','fmb_$i_2','fmb_$i_3')
% 2.63/0.82 & ~equal_set('$ki_local_world','fmb_$i_3',empty_set)
% 2.63/0.82 & equal_set('$ki_local_world','fmb_$i_3','fmb_$i_2')
% 2.63/0.82 & equal_set('$ki_local_world','fmb_$i_3','fmb_$i_3')
% 2.63/0.82 & equal_set('fmb_$ki_world'_2,empty_set,empty_set)
% 2.63/0.82 & ~equal_set('fmb_$ki_world'_2,empty_set,'fmb_$i_2')
% 2.63/0.82 & equal_set('fmb_$ki_world'_2,empty_set,'fmb_$i_3')
% 2.63/0.82 & equal_set('fmb_$ki_world'_2,'fmb_$i_2',empty_set)
% 2.63/0.82 & equal_set('fmb_$ki_world'_2,'fmb_$i_2','fmb_$i_2')
% 2.63/0.82 & equal_set('fmb_$ki_world'_2,'fmb_$i_2','fmb_$i_3')
% 2.63/0.82 & equal_set('fmb_$ki_world'_2,'fmb_$i_3',empty_set)
% 2.63/0.82 & equal_set('fmb_$ki_world'_2,'fmb_$i_3','fmb_$i_2')
% 2.63/0.82 & ~equal_set('fmb_$ki_world'_2,'fmb_$i_3','fmb_$i_3')
% 2.63/0.82 & ~equal_set('fmb_$ki_world'_3,empty_set,empty_set)
% 2.63/0.82 & equal_set('fmb_$ki_world'_3,empty_set,'fmb_$i_2')
% 2.63/0.82 & ~equal_set('fmb_$ki_world'_3,empty_set,'fmb_$i_3')
% 2.63/0.82 & equal_set('fmb_$ki_world'_3,'fmb_$i_2',empty_set)
% 2.63/0.82 & ~equal_set('fmb_$ki_world'_3,'fmb_$i_2','fmb_$i_2')
% 2.63/0.82 & equal_set('fmb_$ki_world'_3,'fmb_$i_2','fmb_$i_3')
% 2.63/0.82 & equal_set('fmb_$ki_world'_3,'fmb_$i_3',empty_set)
% 2.63/0.82 & ~equal_set('fmb_$ki_world'_3,'fmb_$i_3','fmb_$i_2')
% 2.63/0.82 & equal_set('fmb_$ki_world'_3,'fmb_$i_3','fmb_$i_3')
% 2.63/0.82
% 2.63/0.82 ).
% 2.63/0.82
% 2.63/0.82 tff(declare_member,type,member: ('$ki_world' * $i * $i) > $o).
% 2.63/0.82 tff(predicate_member,axiom,
% 2.63/0.82 ~member('$ki_local_world',empty_set,empty_set)
% 2.63/0.82 & ~member('$ki_local_world',empty_set,'fmb_$i_2')
% 2.63/0.82 & member('$ki_local_world',empty_set,'fmb_$i_3')
% 2.63/0.82 & ~member('$ki_local_world','fmb_$i_2',empty_set)
% 2.63/0.82 & member('$ki_local_world','fmb_$i_2','fmb_$i_2')
% 2.63/0.82 & member('$ki_local_world','fmb_$i_2','fmb_$i_3')
% 2.63/0.82 & ~member('$ki_local_world','fmb_$i_3',empty_set)
% 2.63/0.82 & ~member('$ki_local_world','fmb_$i_3','fmb_$i_2')
% 2.63/0.82 & member('$ki_local_world','fmb_$i_3','fmb_$i_3')
% 2.63/0.82 & member('fmb_$ki_world'_2,empty_set,empty_set)
% 2.63/0.82 & member('fmb_$ki_world'_2,empty_set,'fmb_$i_2')
% 2.63/0.82 & member('fmb_$ki_world'_2,empty_set,'fmb_$i_3')
% 2.63/0.82 & member('fmb_$ki_world'_2,'fmb_$i_2',empty_set)
% 2.63/0.82 & member('fmb_$ki_world'_2,'fmb_$i_2','fmb_$i_2')
% 2.63/0.82 & member('fmb_$ki_world'_2,'fmb_$i_2','fmb_$i_3')
% 2.63/0.82 & member('fmb_$ki_world'_2,'fmb_$i_3',empty_set)
% 2.63/0.82 & member('fmb_$ki_world'_2,'fmb_$i_3','fmb_$i_2')
% 2.63/0.82 & member('fmb_$ki_world'_2,'fmb_$i_3','fmb_$i_3')
% 2.63/0.82 & member('fmb_$ki_world'_3,empty_set,empty_set)
% 2.63/0.82 & member('fmb_$ki_world'_3,empty_set,'fmb_$i_2')
% 2.63/0.82 & member('fmb_$ki_world'_3,empty_set,'fmb_$i_3')
% 2.63/0.82 & member('fmb_$ki_world'_3,'fmb_$i_2',empty_set)
% 2.63/0.82 & member('fmb_$ki_world'_3,'fmb_$i_2','fmb_$i_2')
% 2.63/0.82 & ~member('fmb_$ki_world'_3,'fmb_$i_2','fmb_$i_3')
% 2.63/0.82 & member('fmb_$ki_world'_3,'fmb_$i_3',empty_set)
% 2.63/0.82 & member('fmb_$ki_world'_3,'fmb_$i_3','fmb_$i_2')
% 2.63/0.82 & member('fmb_$ki_world'_3,'fmb_$i_3','fmb_$i_3')
% 2.63/0.82
% 2.63/0.82 ).
% 2.63/0.82
% 2.63/0.82 tff(declare_subset,type,subset: ('$ki_world' * $i * $i) > $o).
% 2.63/0.82 tff(predicate_subset,axiom,
% 2.63/0.82 subset('$ki_local_world',empty_set,empty_set)
% 2.63/0.82 & ~subset('$ki_local_world',empty_set,'fmb_$i_2')
% 2.63/0.82 & ~subset('$ki_local_world',empty_set,'fmb_$i_3')
% 2.63/0.82 & ~subset('$ki_local_world','fmb_$i_2',empty_set)
% 2.63/0.82 & ~subset('$ki_local_world','fmb_$i_2','fmb_$i_2')
% 2.63/0.82 & ~subset('$ki_local_world','fmb_$i_2','fmb_$i_3')
% 2.63/0.82 & ~subset('$ki_local_world','fmb_$i_3',empty_set)
% 2.63/0.82 & ~subset('$ki_local_world','fmb_$i_3','fmb_$i_2')
% 2.63/0.82 & ~subset('$ki_local_world','fmb_$i_3','fmb_$i_3')
% 2.63/0.82 & ~subset('fmb_$ki_world'_2,empty_set,empty_set)
% 2.63/0.82 & subset('fmb_$ki_world'_2,empty_set,'fmb_$i_2')
% 2.63/0.82 & subset('fmb_$ki_world'_2,empty_set,'fmb_$i_3')
% 2.63/0.82 & subset('fmb_$ki_world'_2,'fmb_$i_2',empty_set)
% 2.63/0.82 & subset('fmb_$ki_world'_2,'fmb_$i_2','fmb_$i_2')
% 2.63/0.82 & subset('fmb_$ki_world'_2,'fmb_$i_2','fmb_$i_3')
% 2.63/0.82 & subset('fmb_$ki_world'_2,'fmb_$i_3',empty_set)
% 2.63/0.82 & subset('fmb_$ki_world'_2,'fmb_$i_3','fmb_$i_2')
% 2.63/0.82 & subset('fmb_$ki_world'_2,'fmb_$i_3','fmb_$i_3')
% 2.63/0.82 & subset('fmb_$ki_world'_3,empty_set,empty_set)
% 2.63/0.82 & subset('fmb_$ki_world'_3,empty_set,'fmb_$i_2')
% 2.63/0.82 & subset('fmb_$ki_world'_3,empty_set,'fmb_$i_3')
% 2.63/0.82 & subset('fmb_$ki_world'_3,'fmb_$i_2',empty_set)
% 2.63/0.82 & subset('fmb_$ki_world'_3,'fmb_$i_2','fmb_$i_2')
% 2.63/0.82 & subset('fmb_$ki_world'_3,'fmb_$i_2','fmb_$i_3')
% 2.63/0.82 & subset('fmb_$ki_world'_3,'fmb_$i_3',empty_set)
% 2.63/0.82 & subset('fmb_$ki_world'_3,'fmb_$i_3','fmb_$i_2')
% 2.63/0.82 & subset('fmb_$ki_world'_3,'fmb_$i_3','fmb_$i_3')
% 2.63/0.82
% 2.63/0.82 ).
% 2.63/0.82
% 2.63/0.82 tff('declare_$ki_exists_in_world_$i',type,'$ki_exists_in_world_$i': ('$ki_world' * $i) > $o).
% 2.63/0.82 tff('predicate_$ki_exists_in_world_$i',axiom,
% 2.63/0.82 '$ki_exists_in_world_$i'('$ki_local_world',empty_set)
% 2.63/0.82 & ~'$ki_exists_in_world_$i'('$ki_local_world','fmb_$i_2')
% 2.63/0.82 & ~'$ki_exists_in_world_$i'('$ki_local_world','fmb_$i_3')
% 2.63/0.82 & ~'$ki_exists_in_world_$i'('fmb_$ki_world'_2,empty_set)
% 2.63/0.82 & ~'$ki_exists_in_world_$i'('fmb_$ki_world'_2,'fmb_$i_2')
% 2.63/0.82 & '$ki_exists_in_world_$i'('fmb_$ki_world'_2,'fmb_$i_3')
% 2.63/0.82 & ~'$ki_exists_in_world_$i'('fmb_$ki_world'_3,empty_set)
% 2.63/0.82 & ~'$ki_exists_in_world_$i'('fmb_$ki_world'_3,'fmb_$i_2')
% 2.63/0.82 & '$ki_exists_in_world_$i'('fmb_$ki_world'_3,'fmb_$i_3')
% 2.63/0.82
% 2.63/0.82 ).
% 2.63/0.82
% 2.63/0.82 % SZS output end FiniteModel for theBenchmark
% 2.63/0.82 % (20300)------------------------------
% 2.63/0.82 % (20300)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.63/0.82 % (20300)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.63/0.82 % (20300)Termination reason: Satisfiable
% 2.63/0.82
% 2.63/0.82 % (20300)Memory used [KB]: 6410
% 2.63/0.82 % (20300)Time elapsed: 0.398 s
% 2.63/0.82 % (20300)Instructions burned: 1371 (million)
% 2.63/0.82 % (20300)------------------------------
% 2.63/0.82 % (20300)------------------------------
% 2.63/0.82 % (20297)Success in time 0.447 s
%------------------------------------------------------------------------------