TSTP Solution File: LCL964_3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL964_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 : n008.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 00:37:05 EDT 2024
% Result : CounterSatisfiable 0.16s 0.41s
% Output : FiniteModel 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LCL964_3 : TPTP v8.2.0. Released v8.2.0.
% 0.05/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.31 % Computer : n008.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Mon May 20 02:56:52 EDT 2024
% 0.12/0.31 % CPUTime :
% 0.16/0.32 % (13273)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.34 % (13279)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.34 % (13278)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.34 % (13275)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.34 % (13277)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.34 % (13276)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)
% 0.16/0.34 % (13280)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)
% 0.16/0.34 % (13274)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.39 TRYING [1,1]
% 0.16/0.39 TRYING [1,1]
% 0.16/0.39 TRYING [2,1]
% 0.16/0.39 TRYING [2,1]
% 0.16/0.40 TRYING [1,1]
% 0.16/0.40 TRYING [2,1]
% 0.16/0.41 Finite Model Found!
% 0.16/0.41 % SZS status CounterSatisfiable for theBenchmark
% 0.16/0.41 % (13274)First to succeed.
% 0.16/0.41 % (13274)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13273"
% 0.16/0.41 % SZS output start FiniteModel for theBenchmark
% 0.16/0.41 tff(declare_$i,type,$i:$tType).
% 0.16/0.41 tff(declare_$i1,type,fmb_$i_1:$i).
% 0.16/0.41 tff(finite_domain,axiom,
% 0.16/0.41 ! [X:$i] : (
% 0.16/0.41 X = fmb_$i_1
% 0.16/0.41 ) ).
% 0.16/0.41
% 0.16/0.41 tff(declare_bool,type,$o:$tType).
% 0.16/0.41 tff(declare_bool1,type,fmb_bool_1:$o).
% 0.16/0.41 tff(finite_domain,axiom,
% 0.16/0.41 ! [X:$o] : (
% 0.16/0.41 X = fmb_bool_1
% 0.16/0.41 ) ).
% 0.16/0.41
% 0.16/0.41 tff('declare_$ki_world',type,'$ki_world':$tType).
% 0.16/0.41 tff('declare_$ki_world1',type,'$ki_local_world':'$ki_world').
% 0.16/0.41 tff('declare_$ki_world2',type,fmb_'$ki_world'_2:'$ki_world').
% 0.16/0.41 tff(finite_domain,axiom,
% 0.16/0.41 ! [X:'$ki_world'] : (
% 0.16/0.41 X = '$ki_local_world' | X = fmb_'$ki_world'_2
% 0.16/0.41 ) ).
% 0.16/0.41
% 0.16/0.41 tff(distinct_domain,axiom,
% 0.16/0.41 '$ki_local_world' != fmb_'$ki_world'_2
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_equiv,type,equiv: $i * $i > $i).
% 0.16/0.41 tff(function_equiv,axiom,
% 0.16/0.41 equiv(fmb_$i_1,fmb_$i_1) = fmb_$i_1
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_not,type,not: $i > $i).
% 0.16/0.41 tff(function_not,axiom,
% 0.16/0.41 not(fmb_$i_1) = fmb_$i_1
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_or,type,or: $i * $i > $i).
% 0.16/0.41 tff(function_or,axiom,
% 0.16/0.41 or(fmb_$i_1,fmb_$i_1) = fmb_$i_1
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_and,type,and: $i * $i > $i).
% 0.16/0.41 tff(function_and,axiom,
% 0.16/0.41 and(fmb_$i_1,fmb_$i_1) = fmb_$i_1
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_implies,type,implies: $i * $i > $i).
% 0.16/0.41 tff(function_implies,axiom,
% 0.16/0.41 implies(fmb_$i_1,fmb_$i_1) = fmb_$i_1
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff('declare_$ki_accessible',type,'$ki_accessible': '$ki_world' * '$ki_world' > $o ).
% 0.16/0.41 tff('predicate_$ki_accessible',axiom,
% 0.16/0.41 ~'$ki_accessible'('$ki_local_world','$ki_local_world')
% 0.16/0.41 & '$ki_accessible'('$ki_local_world',fmb_'$ki_world'_2)
% 0.16/0.41 & '$ki_accessible'(fmb_'$ki_world'_2,'$ki_local_world')
% 0.16/0.41 & ~'$ki_accessible'(fmb_'$ki_world'_2,fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_r2,type,r2: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_r2,axiom,
% 0.16/0.41 r2('$ki_local_world')
% 0.16/0.41 & ~r2(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_r3,type,r3: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_r3,axiom,
% 0.16/0.41 r3('$ki_local_world')
% 0.16/0.41 & ~r3(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_r4,type,r4: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_r4,axiom,
% 0.16/0.41 r4('$ki_local_world')
% 0.16/0.41 & ~r4(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_r5,type,r5: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_r5,axiom,
% 0.16/0.41 r5('$ki_local_world')
% 0.16/0.41 & ~r5(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_equivalence_1,type,equivalence_1: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_equivalence_1,axiom,
% 0.16/0.41 equivalence_1('$ki_local_world')
% 0.16/0.41 & ~equivalence_1(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_equivalence_2,type,equivalence_2: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_equivalence_2,axiom,
% 0.16/0.41 equivalence_2('$ki_local_world')
% 0.16/0.41 & ~equivalence_2(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_cn2,type,cn2: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_cn2,axiom,
% 0.16/0.41 cn2('$ki_local_world')
% 0.16/0.41 & cn2(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_cn1,type,cn1: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_cn1,axiom,
% 0.16/0.41 cn1('$ki_local_world')
% 0.16/0.41 & cn1(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_cn3,type,cn3: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_cn3,axiom,
% 0.16/0.41 cn3('$ki_local_world')
% 0.16/0.41 & cn3(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_kn2,type,kn2: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_kn2,axiom,
% 0.16/0.41 kn2('$ki_local_world')
% 0.16/0.41 & ~kn2(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_kn1,type,kn1: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_kn1,axiom,
% 0.16/0.41 kn1('$ki_local_world')
% 0.16/0.41 & kn1(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_kn3,type,kn3: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_kn3,axiom,
% 0.16/0.41 kn3('$ki_local_world')
% 0.16/0.41 & ~kn3(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_equivalence_3,type,equivalence_3: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_equivalence_3,axiom,
% 0.16/0.41 equivalence_3('$ki_local_world')
% 0.16/0.41 & ~equivalence_3(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_op_implies_or,type,op_implies_or: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_op_implies_or,axiom,
% 0.16/0.41 % op_implies_or('$ki_local_world') undefined in model
% 0.16/0.41 % op_implies_or(fmb_'$ki_world'_2) undefined in model
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_op_and,type,op_and: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_op_and,axiom,
% 0.16/0.41 % op_and('$ki_local_world') undefined in model
% 0.16/0.41 % op_and(fmb_'$ki_world'_2) undefined in model
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_and_2,type,and_2: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_and_2,axiom,
% 0.16/0.41 and_2('$ki_local_world')
% 0.16/0.41 & ~and_2(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_and_3,type,and_3: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_and_3,axiom,
% 0.16/0.41 and_3('$ki_local_world')
% 0.16/0.41 & ~and_3(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_and_1,type,and_1: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_and_1,axiom,
% 0.16/0.41 and_1('$ki_local_world')
% 0.16/0.41 & ~and_1(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_implies_2,type,implies_2: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_implies_2,axiom,
% 0.16/0.41 implies_2('$ki_local_world')
% 0.16/0.41 & ~implies_2(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_implies_3,type,implies_3: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_implies_3,axiom,
% 0.16/0.41 implies_3('$ki_local_world')
% 0.16/0.41 & ~implies_3(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_op_implies_and,type,op_implies_and: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_op_implies_and,axiom,
% 0.16/0.41 ~op_implies_and('$ki_local_world')
% 0.16/0.41 & op_implies_and(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_implies_1,type,implies_1: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_implies_1,axiom,
% 0.16/0.41 implies_1('$ki_local_world')
% 0.16/0.41 & ~implies_1(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_substitution_of_equivalents,type,substitution_of_equivalents: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_substitution_of_equivalents,axiom,
% 0.16/0.41 ~substitution_of_equivalents('$ki_local_world')
% 0.16/0.41 & substitution_of_equivalents(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_op_or,type,op_or: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_op_or,axiom,
% 0.16/0.41 ~op_or('$ki_local_world')
% 0.16/0.41 & op_or(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_modus_tollens,type,modus_tollens: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_modus_tollens,axiom,
% 0.16/0.41 modus_tollens('$ki_local_world')
% 0.16/0.41 & ~modus_tollens(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_or_1,type,or_1: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_or_1,axiom,
% 0.16/0.41 or_1('$ki_local_world')
% 0.16/0.41 & ~or_1(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_or_2,type,or_2: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_or_2,axiom,
% 0.16/0.41 or_2('$ki_local_world')
% 0.16/0.41 & ~or_2(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_or_3,type,or_3: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_or_3,axiom,
% 0.16/0.41 or_3('$ki_local_world')
% 0.16/0.41 & ~or_3(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_op_equiv,type,op_equiv: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_op_equiv,axiom,
% 0.16/0.41 ~op_equiv('$ki_local_world')
% 0.16/0.41 & op_equiv(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_modus_ponens,type,modus_ponens: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_modus_ponens,axiom,
% 0.16/0.41 modus_ponens('$ki_local_world')
% 0.16/0.41 & modus_ponens(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_op_implies,type,op_implies: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_op_implies,axiom,
% 0.16/0.41 % op_implies('$ki_local_world') undefined in model
% 0.16/0.41 % op_implies(fmb_'$ki_world'_2) undefined in model
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_r1,type,r1: '$ki_world' > $o ).
% 0.16/0.41 tff(predicate_r1,axiom,
% 0.16/0.41 r1('$ki_local_world')
% 0.16/0.41 & r1(fmb_'$ki_world'_2)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_qmltpeq,type,qmltpeq: '$ki_world' * $i * $i > $o ).
% 0.16/0.41 tff(predicate_qmltpeq,axiom,
% 0.16/0.41 qmltpeq('$ki_local_world',fmb_$i_1,fmb_$i_1)
% 0.16/0.41 & ~qmltpeq(fmb_'$ki_world'_2,fmb_$i_1,fmb_$i_1)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff(declare_is_a_theorem,type,is_a_theorem: '$ki_world' * $i > $o ).
% 0.16/0.41 tff(predicate_is_a_theorem,axiom,
% 0.16/0.41 is_a_theorem('$ki_local_world',fmb_$i_1)
% 0.16/0.41 & is_a_theorem(fmb_'$ki_world'_2,fmb_$i_1)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 tff('declare_$ki_exists_in_world_$i',type,'$ki_exists_in_world_$i': '$ki_world' * $i > $o ).
% 0.16/0.41 tff('predicate_$ki_exists_in_world_$i',axiom,
% 0.16/0.41 '$ki_exists_in_world_$i'('$ki_local_world',fmb_$i_1)
% 0.16/0.41 & '$ki_exists_in_world_$i'(fmb_'$ki_world'_2,fmb_$i_1)
% 0.16/0.41
% 0.16/0.41 ).
% 0.16/0.41
% 0.16/0.41 % SZS output end FiniteModel for theBenchmark
% 0.16/0.41 % (13274)------------------------------
% 0.16/0.41 % (13274)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.41 % (13274)Termination reason: Satisfiable
% 0.16/0.41
% 0.16/0.41 % (13274)Memory used [KB]: 3372
% 0.16/0.41 % (13274)Time elapsed: 0.067 s
% 0.16/0.41 % (13274)Instructions burned: 167 (million)
% 0.16/0.41 % (13273)Success in time 0.092 s
%------------------------------------------------------------------------------