TSTP Solution File: LCL968_3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL968_3 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 May 21 00:37:07 EDT 2024
% Result : CounterSatisfiable 17.48s 2.81s
% Output : FiniteModel 17.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LCL968_3 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.30 % Computer : n010.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon May 20 02:23:07 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % (8400)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.33 % (8401)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.33 % (8402)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.33 % (8403)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.33 % (8405)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.33 % (8404)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.34 % (8406)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.34 % (8407)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.44 TRYING [1,1]
% 0.14/0.45 TRYING [1,1]
% 0.14/0.45 TRYING [2,1]
% 0.14/0.46 TRYING [2,1]
% 0.14/0.50 TRYING [3,1]
% 0.14/0.51 TRYING [3,1]
% 0.14/0.55 TRYING [1,1]
% 0.14/0.56 TRYING [2,1]
% 0.14/0.58 TRYING [2,2]
% 1.87/0.59 TRYING [2,2]
% 2.02/0.60 TRYING [1,1]
% 2.02/0.62 TRYING [2,1]
% 2.26/0.63 TRYING [3,1]
% 2.71/0.72 TRYING [3,1]
% 2.71/0.76 TRYING [2,2]
% 3.88/0.88 TRYING [2,2]
% 4.11/0.91 TRYING [4,1]
% 4.34/0.94 TRYING [4,1]
% 4.83/1.05 TRYING [3,2]
% 5.36/1.10 TRYING [3,2]
% 7.51/1.39 TRYING [4,1]
% 9.13/1.61 TRYING [3,2]
% 9.13/1.63 TRYING [4,1]
% 11.13/1.91 TRYING [3,2]
% 17.48/2.81 Finite Model Found!
% 17.48/2.81 % SZS status CounterSatisfiable for theBenchmark
% 17.48/2.83 % (8401)First to succeed.
% 17.48/2.83 % (8401)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8400"
% 17.48/2.84 % SZS output start FiniteModel for theBenchmark
% 17.48/2.84 tff(declare_$i,type,$i:$tType).
% 17.48/2.84 tff(declare_$i1,type,def:$i).
% 17.48/2.84 tff(declare_$i2,type,tptp_minus_1:$i).
% 17.48/2.84 tff(finite_domain,axiom,
% 17.48/2.84 ! [X:$i] : (
% 17.48/2.84 X = def | X = tptp_minus_1
% 17.48/2.84 ) ).
% 17.48/2.84
% 17.48/2.84 tff(distinct_domain,axiom,
% 17.48/2.84 def != tptp_minus_1
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_bool,type,$o:$tType).
% 17.48/2.84 tff(declare_bool1,type,fmb_bool_1:$o).
% 17.48/2.84 tff(finite_domain,axiom,
% 17.48/2.84 ! [X:$o] : (
% 17.48/2.84 X = fmb_bool_1
% 17.48/2.84 ) ).
% 17.48/2.84
% 17.48/2.84 tff('declare_$ki_world',type,'$ki_world':$tType).
% 17.48/2.84 tff('declare_$ki_world1',type,'$ki_local_world':'$ki_world').
% 17.48/2.84 tff('declare_$ki_world2',type,fmb_'$ki_world'_2:'$ki_world').
% 17.48/2.84 tff('declare_$ki_world3',type,fmb_'$ki_world'_3:'$ki_world').
% 17.48/2.84 tff(finite_domain,axiom,
% 17.48/2.84 ! [X:'$ki_world'] : (
% 17.48/2.84 X = '$ki_local_world' | X = fmb_'$ki_world'_2 | X = fmb_'$ki_world'_3
% 17.48/2.84 ) ).
% 17.48/2.84
% 17.48/2.84 tff(distinct_domain,axiom,
% 17.48/2.84 '$ki_local_world' != fmb_'$ki_world'_2 & '$ki_local_world' != fmb_'$ki_world'_3 & fmb_'$ki_world'_2 != fmb_'$ki_world'_3
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_tptp_float_0_0,type,tptp_float_0_0:$i).
% 17.48/2.84 tff(tptp_float_0_0_definition,axiom,tptp_float_0_0 = def).
% 17.48/2.84 tff(declare_n0,type,n0:$i).
% 17.48/2.84 tff(n0_definition,axiom,n0 = def).
% 17.48/2.84 tff(declare_n1,type,n1:$i).
% 17.48/2.84 tff(n1_definition,axiom,n1 = tptp_minus_1).
% 17.48/2.84 tff(declare_n2,type,n2:$i).
% 17.48/2.84 tff(n2_definition,axiom,n2 = tptp_minus_1).
% 17.48/2.84 tff(declare_n3,type,n3:$i).
% 17.48/2.84 tff(n3_definition,axiom,n3 = tptp_minus_1).
% 17.48/2.84 tff(declare_n4,type,n4:$i).
% 17.48/2.84 tff(n4_definition,axiom,n4 = tptp_minus_1).
% 17.48/2.84 tff(declare_use,type,use:$i).
% 17.48/2.84 tff(use_definition,axiom,use = tptp_minus_1).
% 17.48/2.84 tff(declare_n5,type,n5:$i).
% 17.48/2.84 tff(n5_definition,axiom,n5 = tptp_minus_1).
% 17.48/2.84 tff(declare_n6,type,n6:$i).
% 17.48/2.84 tff(n6_definition,axiom,n6 = tptp_minus_1).
% 17.48/2.84 tff(declare_n999,type,n999:$i).
% 17.48/2.84 tff(n999_definition,axiom,n999 = tptp_minus_1).
% 17.48/2.84 tff(declare_minus,type,minus: $i * $i > $i).
% 17.48/2.84 tff(function_minus,axiom,
% 17.48/2.84 minus(def,def) = tptp_minus_1
% 17.48/2.84 & minus(def,tptp_minus_1) = tptp_minus_1
% 17.48/2.84 & minus(tptp_minus_1,def) = tptp_minus_1
% 17.48/2.84 & minus(tptp_minus_1,tptp_minus_1) = tptp_minus_1
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_dim,type,dim: $i * $i > $i).
% 17.48/2.84 tff(function_dim,axiom,
% 17.48/2.84 dim(def,def) = def
% 17.48/2.84 & dim(def,tptp_minus_1) = tptp_minus_1
% 17.48/2.84 & dim(tptp_minus_1,def) = tptp_minus_1
% 17.48/2.84 & dim(tptp_minus_1,tptp_minus_1) = tptp_minus_1
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_sum,type,sum: $i * $i * $i > $i).
% 17.48/2.84 tff(function_sum,axiom,
% 17.48/2.84 sum(def,def,def) = def
% 17.48/2.84 & sum(def,def,tptp_minus_1) = def
% 17.48/2.84 & sum(def,tptp_minus_1,def) = def
% 17.48/2.84 & sum(def,tptp_minus_1,tptp_minus_1) = def
% 17.48/2.84 & sum(tptp_minus_1,def,def) = def
% 17.48/2.84 & sum(tptp_minus_1,def,tptp_minus_1) = def
% 17.48/2.84 & sum(tptp_minus_1,tptp_minus_1,def) = def
% 17.48/2.84 & sum(tptp_minus_1,tptp_minus_1,tptp_minus_1) = def
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_plus,type,plus: $i * $i > $i).
% 17.48/2.84 tff(function_plus,axiom,
% 17.48/2.84 plus(def,def) = def
% 17.48/2.84 & plus(def,tptp_minus_1) = def
% 17.48/2.84 & plus(tptp_minus_1,def) = def
% 17.48/2.84 & plus(tptp_minus_1,tptp_minus_1) = tptp_minus_1
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_inv,type,inv: $i > $i).
% 17.48/2.84 tff(function_inv,axiom,
% 17.48/2.84 inv(def) = tptp_minus_1
% 17.48/2.84 & inv(tptp_minus_1) = tptp_minus_1
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_uniform_int_rnd,type,uniform_int_rnd: $i * $i > $i).
% 17.48/2.84 tff(function_uniform_int_rnd,axiom,
% 17.48/2.84 uniform_int_rnd(def,def) = tptp_minus_1
% 17.48/2.84 & uniform_int_rnd(def,tptp_minus_1) = tptp_minus_1
% 17.48/2.84 & uniform_int_rnd(tptp_minus_1,def) = tptp_minus_1
% 17.48/2.84 & uniform_int_rnd(tptp_minus_1,tptp_minus_1) = tptp_minus_1
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_succ,type,succ: $i > $i).
% 17.48/2.84 tff(function_succ,axiom,
% 17.48/2.84 succ(def) = def
% 17.48/2.84 & succ(tptp_minus_1) = tptp_minus_1
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_pred,type,pred: $i > $i).
% 17.48/2.84 tff(function_pred,axiom,
% 17.48/2.84 pred(def) = tptp_minus_1
% 17.48/2.84 & pred(tptp_minus_1) = tptp_minus_1
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_tptp_update3,type,tptp_update3: $i * $i * $i * $i > $i).
% 17.48/2.84 tff(function_tptp_update3,axiom,
% 17.48/2.84 tptp_update3(def,def,def,def) = tptp_minus_1
% 17.48/2.84 & tptp_update3(def,def,def,tptp_minus_1) = tptp_minus_1
% 17.48/2.84 & tptp_update3(def,def,tptp_minus_1,def) = def
% 17.48/2.84 & tptp_update3(def,def,tptp_minus_1,tptp_minus_1) = def
% 17.48/2.84 & tptp_update3(def,tptp_minus_1,def,def) = def
% 17.48/2.84 & tptp_update3(def,tptp_minus_1,def,tptp_minus_1) = def
% 17.48/2.84 & tptp_update3(def,tptp_minus_1,tptp_minus_1,def) = def
% 17.48/2.84 & tptp_update3(def,tptp_minus_1,tptp_minus_1,tptp_minus_1) = def
% 17.48/2.84 & tptp_update3(tptp_minus_1,def,def,def) = tptp_minus_1
% 17.48/2.84 & tptp_update3(tptp_minus_1,def,def,tptp_minus_1) = tptp_minus_1
% 17.48/2.84 & tptp_update3(tptp_minus_1,def,tptp_minus_1,def) = def
% 17.48/2.84 & tptp_update3(tptp_minus_1,def,tptp_minus_1,tptp_minus_1) = def
% 17.48/2.84 & tptp_update3(tptp_minus_1,tptp_minus_1,def,def) = def
% 17.48/2.84 & tptp_update3(tptp_minus_1,tptp_minus_1,def,tptp_minus_1) = def
% 17.48/2.84 & tptp_update3(tptp_minus_1,tptp_minus_1,tptp_minus_1,def) = def
% 17.48/2.84 & tptp_update3(tptp_minus_1,tptp_minus_1,tptp_minus_1,tptp_minus_1) = def
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_tptp_update2,type,tptp_update2: $i * $i * $i > $i).
% 17.48/2.84 tff(function_tptp_update2,axiom,
% 17.48/2.84 tptp_update2(def,def,def) = def
% 17.48/2.84 & tptp_update2(def,def,tptp_minus_1) = tptp_minus_1
% 17.48/2.84 & tptp_update2(def,tptp_minus_1,def) = def
% 17.48/2.84 & tptp_update2(def,tptp_minus_1,tptp_minus_1) = tptp_minus_1
% 17.48/2.84 & tptp_update2(tptp_minus_1,def,def) = def
% 17.48/2.84 & tptp_update2(tptp_minus_1,def,tptp_minus_1) = tptp_minus_1
% 17.48/2.84 & tptp_update2(tptp_minus_1,tptp_minus_1,def) = def
% 17.48/2.84 & tptp_update2(tptp_minus_1,tptp_minus_1,tptp_minus_1) = tptp_minus_1
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_tptp_const_array1,type,tptp_const_array1: $i * $i > $i).
% 17.48/2.84 tff(function_tptp_const_array1,axiom,
% 17.48/2.84 tptp_const_array1(def,def) = def
% 17.48/2.84 & tptp_const_array1(def,tptp_minus_1) = def
% 17.48/2.84 & tptp_const_array1(tptp_minus_1,def) = def
% 17.48/2.84 & tptp_const_array1(tptp_minus_1,tptp_minus_1) = def
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_tptp_mmul,type,tptp_mmul: $i * $i > $i).
% 17.48/2.84 tff(function_tptp_mmul,axiom,
% 17.48/2.84 tptp_mmul(def,def) = def
% 17.48/2.84 & tptp_mmul(def,tptp_minus_1) = def
% 17.48/2.84 & tptp_mmul(tptp_minus_1,def) = def
% 17.48/2.84 & tptp_mmul(tptp_minus_1,tptp_minus_1) = def
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_a_select3,type,a_select3: $i * $i * $i > $i).
% 17.48/2.84 tff(function_a_select3,axiom,
% 17.48/2.84 a_select3(def,def,def) = def
% 17.48/2.84 & a_select3(def,def,tptp_minus_1) = tptp_minus_1
% 17.48/2.84 & a_select3(def,tptp_minus_1,def) = tptp_minus_1
% 17.48/2.84 & a_select3(def,tptp_minus_1,tptp_minus_1) = tptp_minus_1
% 17.48/2.84 & a_select3(tptp_minus_1,def,def) = tptp_minus_1
% 17.48/2.84 & a_select3(tptp_minus_1,def,tptp_minus_1) = def
% 17.48/2.84 & a_select3(tptp_minus_1,tptp_minus_1,def) = def
% 17.48/2.84 & a_select3(tptp_minus_1,tptp_minus_1,tptp_minus_1) = def
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_tptp_const_array2,type,tptp_const_array2: $i * $i * $i > $i).
% 17.48/2.84 tff(function_tptp_const_array2,axiom,
% 17.48/2.84 tptp_const_array2(def,def,def) = def
% 17.48/2.84 & tptp_const_array2(def,def,tptp_minus_1) = tptp_minus_1
% 17.48/2.84 & tptp_const_array2(def,tptp_minus_1,def) = def
% 17.48/2.84 & tptp_const_array2(def,tptp_minus_1,tptp_minus_1) = tptp_minus_1
% 17.48/2.84 & tptp_const_array2(tptp_minus_1,def,def) = tptp_minus_1
% 17.48/2.84 & tptp_const_array2(tptp_minus_1,def,tptp_minus_1) = tptp_minus_1
% 17.48/2.84 & tptp_const_array2(tptp_minus_1,tptp_minus_1,def) = tptp_minus_1
% 17.48/2.84 & tptp_const_array2(tptp_minus_1,tptp_minus_1,tptp_minus_1) = tptp_minus_1
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_a_select2,type,a_select2: $i * $i > $i).
% 17.48/2.84 tff(function_a_select2,axiom,
% 17.48/2.84 a_select2(def,def) = def
% 17.48/2.84 & a_select2(def,tptp_minus_1) = def
% 17.48/2.84 & a_select2(tptp_minus_1,def) = tptp_minus_1
% 17.48/2.84 & a_select2(tptp_minus_1,tptp_minus_1) = tptp_minus_1
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_tptp_madd,type,tptp_madd: $i * $i > $i).
% 17.48/2.84 tff(function_tptp_madd,axiom,
% 17.48/2.84 tptp_madd(def,def) = def
% 17.48/2.84 & tptp_madd(def,tptp_minus_1) = def
% 17.48/2.84 & tptp_madd(tptp_minus_1,def) = def
% 17.48/2.84 & tptp_madd(tptp_minus_1,tptp_minus_1) = tptp_minus_1
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_tptp_msub,type,tptp_msub: $i * $i > $i).
% 17.48/2.84 tff(function_tptp_msub,axiom,
% 17.48/2.84 tptp_msub(def,def) = tptp_minus_1
% 17.48/2.84 & tptp_msub(def,tptp_minus_1) = tptp_minus_1
% 17.48/2.84 & tptp_msub(tptp_minus_1,def) = tptp_minus_1
% 17.48/2.84 & tptp_msub(tptp_minus_1,tptp_minus_1) = tptp_minus_1
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_trans,type,trans: $i > $i).
% 17.48/2.84 tff(function_trans,axiom,
% 17.48/2.84 trans(def) = def
% 17.48/2.84 & trans(tptp_minus_1) = def
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff('declare_$ki_accessible',type,'$ki_accessible': '$ki_world' * '$ki_world' > $o ).
% 17.48/2.84 tff('predicate_$ki_accessible',axiom,
% 17.48/2.84 ~'$ki_accessible'('$ki_local_world','$ki_local_world')
% 17.48/2.84 & '$ki_accessible'('$ki_local_world',fmb_'$ki_world'_2)
% 17.48/2.84 & ~'$ki_accessible'('$ki_local_world',fmb_'$ki_world'_3)
% 17.48/2.84 & ~'$ki_accessible'(fmb_'$ki_world'_2,'$ki_local_world')
% 17.48/2.84 & ~'$ki_accessible'(fmb_'$ki_world'_2,fmb_'$ki_world'_2)
% 17.48/2.84 & '$ki_accessible'(fmb_'$ki_world'_2,fmb_'$ki_world'_3)
% 17.48/2.84 & '$ki_accessible'(fmb_'$ki_world'_3,'$ki_local_world')
% 17.48/2.84 & ~'$ki_accessible'(fmb_'$ki_world'_3,fmb_'$ki_world'_2)
% 17.48/2.84 & ~'$ki_accessible'(fmb_'$ki_world'_3,fmb_'$ki_world'_3)
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_customqmltpeq,type,customqmltpeq: '$ki_world' * $i * $i > $o ).
% 17.48/2.84 tff(predicate_customqmltpeq,axiom,
% 17.48/2.84 customqmltpeq('$ki_local_world',def,def)
% 17.48/2.84 & ~customqmltpeq('$ki_local_world',def,tptp_minus_1)
% 17.48/2.84 & ~customqmltpeq('$ki_local_world',tptp_minus_1,def)
% 17.48/2.84 & customqmltpeq('$ki_local_world',tptp_minus_1,tptp_minus_1)
% 17.48/2.84 & customqmltpeq(fmb_'$ki_world'_2,def,def)
% 17.48/2.84 & customqmltpeq(fmb_'$ki_world'_2,def,tptp_minus_1)
% 17.48/2.84 & customqmltpeq(fmb_'$ki_world'_2,tptp_minus_1,def)
% 17.48/2.84 & customqmltpeq(fmb_'$ki_world'_2,tptp_minus_1,tptp_minus_1)
% 17.48/2.84 & customqmltpeq(fmb_'$ki_world'_3,def,def)
% 17.48/2.84 & ~customqmltpeq(fmb_'$ki_world'_3,def,tptp_minus_1)
% 17.48/2.84 & customqmltpeq(fmb_'$ki_world'_3,tptp_minus_1,def)
% 17.48/2.84 & customqmltpeq(fmb_'$ki_world'_3,tptp_minus_1,tptp_minus_1)
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_true,type,true: '$ki_world' > $o ).
% 17.48/2.84 tff(predicate_true,axiom,
% 17.48/2.84 ~true('$ki_local_world')
% 17.48/2.84 & true(fmb_'$ki_world'_2)
% 17.48/2.84 & ~true(fmb_'$ki_world'_3)
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_geq,type,geq: '$ki_world' * $i * $i > $o ).
% 17.48/2.84 tff(predicate_geq,axiom,
% 17.48/2.84 ~geq('$ki_local_world',def,def)
% 17.48/2.84 & ~geq('$ki_local_world',def,tptp_minus_1)
% 17.48/2.84 & geq('$ki_local_world',tptp_minus_1,def)
% 17.48/2.84 & ~geq('$ki_local_world',tptp_minus_1,tptp_minus_1)
% 17.48/2.84 & geq(fmb_'$ki_world'_2,def,def)
% 17.48/2.84 & geq(fmb_'$ki_world'_2,def,tptp_minus_1)
% 17.48/2.84 & geq(fmb_'$ki_world'_2,tptp_minus_1,def)
% 17.48/2.84 & geq(fmb_'$ki_world'_2,tptp_minus_1,tptp_minus_1)
% 17.48/2.84 & geq(fmb_'$ki_world'_3,def,def)
% 17.48/2.84 & geq(fmb_'$ki_world'_3,def,tptp_minus_1)
% 17.48/2.84 & geq(fmb_'$ki_world'_3,tptp_minus_1,def)
% 17.48/2.84 & geq(fmb_'$ki_world'_3,tptp_minus_1,tptp_minus_1)
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_lt,type,lt: '$ki_world' * $i * $i > $o ).
% 17.48/2.84 tff(predicate_lt,axiom,
% 17.48/2.84 ~lt('$ki_local_world',def,def)
% 17.48/2.84 & lt('$ki_local_world',def,tptp_minus_1)
% 17.48/2.84 & ~lt('$ki_local_world',tptp_minus_1,def)
% 17.48/2.84 & ~lt('$ki_local_world',tptp_minus_1,tptp_minus_1)
% 17.48/2.84 & lt(fmb_'$ki_world'_2,def,def)
% 17.48/2.84 & lt(fmb_'$ki_world'_2,def,tptp_minus_1)
% 17.48/2.84 & lt(fmb_'$ki_world'_2,tptp_minus_1,def)
% 17.48/2.84 & lt(fmb_'$ki_world'_2,tptp_minus_1,tptp_minus_1)
% 17.48/2.84 & lt(fmb_'$ki_world'_3,def,def)
% 17.48/2.84 & lt(fmb_'$ki_world'_3,def,tptp_minus_1)
% 17.48/2.84 & lt(fmb_'$ki_world'_3,tptp_minus_1,def)
% 17.48/2.84 & lt(fmb_'$ki_world'_3,tptp_minus_1,tptp_minus_1)
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_leq,type,leq: '$ki_world' * $i * $i > $o ).
% 17.48/2.84 tff(predicate_leq,axiom,
% 17.48/2.84 ~leq('$ki_local_world',def,def)
% 17.48/2.84 & leq('$ki_local_world',def,tptp_minus_1)
% 17.48/2.84 & ~leq('$ki_local_world',tptp_minus_1,def)
% 17.48/2.84 & ~leq('$ki_local_world',tptp_minus_1,tptp_minus_1)
% 17.48/2.84 & leq(fmb_'$ki_world'_2,def,def)
% 17.48/2.84 & leq(fmb_'$ki_world'_2,def,tptp_minus_1)
% 17.48/2.84 & leq(fmb_'$ki_world'_2,tptp_minus_1,def)
% 17.48/2.84 & leq(fmb_'$ki_world'_2,tptp_minus_1,tptp_minus_1)
% 17.48/2.84 & leq(fmb_'$ki_world'_3,def,def)
% 17.48/2.84 & leq(fmb_'$ki_world'_3,def,tptp_minus_1)
% 17.48/2.84 & leq(fmb_'$ki_world'_3,tptp_minus_1,def)
% 17.48/2.84 & leq(fmb_'$ki_world'_3,tptp_minus_1,tptp_minus_1)
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff(declare_gt,type,gt: '$ki_world' * $i * $i > $o ).
% 17.48/2.84 tff(predicate_gt,axiom,
% 17.48/2.84 ~gt('$ki_local_world',def,def)
% 17.48/2.84 & ~gt('$ki_local_world',def,tptp_minus_1)
% 17.48/2.84 & gt('$ki_local_world',tptp_minus_1,def)
% 17.48/2.84 & ~gt('$ki_local_world',tptp_minus_1,tptp_minus_1)
% 17.48/2.84 & gt(fmb_'$ki_world'_2,def,def)
% 17.48/2.84 & gt(fmb_'$ki_world'_2,def,tptp_minus_1)
% 17.48/2.84 & gt(fmb_'$ki_world'_2,tptp_minus_1,def)
% 17.48/2.84 & gt(fmb_'$ki_world'_2,tptp_minus_1,tptp_minus_1)
% 17.48/2.84 & gt(fmb_'$ki_world'_3,def,def)
% 17.48/2.84 & gt(fmb_'$ki_world'_3,def,tptp_minus_1)
% 17.48/2.84 & gt(fmb_'$ki_world'_3,tptp_minus_1,def)
% 17.48/2.84 & gt(fmb_'$ki_world'_3,tptp_minus_1,tptp_minus_1)
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 tff('declare_$ki_exists_in_world_$i',type,'$ki_exists_in_world_$i': '$ki_world' * $i > $o ).
% 17.48/2.84 tff('predicate_$ki_exists_in_world_$i',axiom,
% 17.48/2.84 '$ki_exists_in_world_$i'('$ki_local_world',def)
% 17.48/2.84 & '$ki_exists_in_world_$i'('$ki_local_world',tptp_minus_1)
% 17.48/2.84 & '$ki_exists_in_world_$i'(fmb_'$ki_world'_2,def)
% 17.48/2.84 & '$ki_exists_in_world_$i'(fmb_'$ki_world'_2,tptp_minus_1)
% 17.48/2.84 & '$ki_exists_in_world_$i'(fmb_'$ki_world'_3,def)
% 17.48/2.84 & '$ki_exists_in_world_$i'(fmb_'$ki_world'_3,tptp_minus_1)
% 17.48/2.84
% 17.48/2.84 ).
% 17.48/2.84
% 17.48/2.84 % SZS output end FiniteModel for theBenchmark
% 17.48/2.84 % (8401)------------------------------
% 17.48/2.84 % (8401)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 17.48/2.84 % (8401)Termination reason: Satisfiable
% 17.48/2.84
% 17.48/2.84 % (8401)Memory used [KB]: 10864
% 17.48/2.84 % (8401)Time elapsed: 2.496 s
% 17.48/2.84 % (8401)Instructions burned: 5816 (million)
% 17.48/2.84 % (8400)Success in time 2.523 s
%------------------------------------------------------------------------------