TSTP Solution File: LCL571+1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : LCL571+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n029.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 11:38:17 EDT 2024
% Result : CounterSatisfiable 0.21s 0.48s
% Output : FiniteModel 0.21s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('declare_$i2',type,
'fmb_$i_2': $i ).
tff('declare_$i3',type,
'fmb_$i_3': $i ).
tff('declare_$i4',type,
'fmb_$i_4': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' )
| ( X = 'fmb_$i_4' ) ) ).
tff('distinct_domain_$i',axiom,
( ( 'fmb_$i_1' != 'fmb_$i_2' )
& ( 'fmb_$i_1' != 'fmb_$i_3' )
& ( 'fmb_$i_1' != 'fmb_$i_4' )
& ( 'fmb_$i_2' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_4' )
& ( 'fmb_$i_3' != 'fmb_$i_4' ) ) ).
tff(declare_or,type,
or: ( $i * $i ) > $i ).
tff(function_or,axiom,
( ( or('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( or('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( or('fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
& ( or('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( or('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( or('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( or('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( or('fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( or('fmb_$i_3','fmb_$i_1') = 'fmb_$i_4' )
& ( or('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( or('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( or('fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( or('fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( or('fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( or('fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( or('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' ) ) ).
tff(declare_not,type,
not: $i > $i ).
tff(function_not,axiom,
( ( not('fmb_$i_1') = 'fmb_$i_3' )
& ( not('fmb_$i_2') = 'fmb_$i_4' )
& ( not('fmb_$i_3') = 'fmb_$i_1' )
& ( not('fmb_$i_4') = 'fmb_$i_2' ) ) ).
tff(declare_and,type,
and: ( $i * $i ) > $i ).
tff(function_and,axiom,
( ( and('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( and('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( and('fmb_$i_1','fmb_$i_3') = 'fmb_$i_2' )
& ( and('fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( and('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( and('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( and('fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( and('fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( and('fmb_$i_3','fmb_$i_1') = 'fmb_$i_2' )
& ( and('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( and('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( and('fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( and('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( and('fmb_$i_4','fmb_$i_2') = 'fmb_$i_2' )
& ( and('fmb_$i_4','fmb_$i_3') = 'fmb_$i_3' )
& ( and('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' ) ) ).
tff(declare_implies,type,
implies: ( $i * $i ) > $i ).
tff(function_implies,axiom,
( ( implies('fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
& ( implies('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( implies('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( implies('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( implies('fmb_$i_2','fmb_$i_1') = 'fmb_$i_4' )
& ( implies('fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( implies('fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( implies('fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( implies('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( implies('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( implies('fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( implies('fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( implies('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( implies('fmb_$i_4','fmb_$i_2') = 'fmb_$i_2' )
& ( implies('fmb_$i_4','fmb_$i_3') = 'fmb_$i_3' )
& ( implies('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' ) ) ).
tff(declare_equiv,type,
equiv: ( $i * $i ) > $i ).
tff(function_equiv,axiom,
( ( equiv('fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
& ( equiv('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( equiv('fmb_$i_1','fmb_$i_3') = 'fmb_$i_2' )
& ( equiv('fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( equiv('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( equiv('fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( equiv('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( equiv('fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( equiv('fmb_$i_3','fmb_$i_1') = 'fmb_$i_2' )
& ( equiv('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( equiv('fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( equiv('fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( equiv('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( equiv('fmb_$i_4','fmb_$i_2') = 'fmb_$i_2' )
& ( equiv('fmb_$i_4','fmb_$i_3') = 'fmb_$i_3' )
& ( equiv('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' ) ) ).
tff(declare_necessarily,type,
necessarily: $i > $i ).
tff(function_necessarily,axiom,
( ( necessarily('fmb_$i_1') = 'fmb_$i_2' )
& ( necessarily('fmb_$i_2') = 'fmb_$i_2' )
& ( necessarily('fmb_$i_3') = 'fmb_$i_2' )
& ( necessarily('fmb_$i_4') = 'fmb_$i_4' ) ) ).
tff(declare_strict_implies,type,
strict_implies: ( $i * $i ) > $i ).
tff(function_strict_implies,axiom,
( ( strict_implies('fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
& ( strict_implies('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( strict_implies('fmb_$i_1','fmb_$i_3') = 'fmb_$i_2' )
& ( strict_implies('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( strict_implies('fmb_$i_2','fmb_$i_1') = 'fmb_$i_4' )
& ( strict_implies('fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( strict_implies('fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( strict_implies('fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( strict_implies('fmb_$i_3','fmb_$i_1') = 'fmb_$i_2' )
& ( strict_implies('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( strict_implies('fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( strict_implies('fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( strict_implies('fmb_$i_4','fmb_$i_1') = 'fmb_$i_2' )
& ( strict_implies('fmb_$i_4','fmb_$i_2') = 'fmb_$i_2' )
& ( strict_implies('fmb_$i_4','fmb_$i_3') = 'fmb_$i_2' )
& ( strict_implies('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' ) ) ).
tff(declare_strict_equiv,type,
strict_equiv: ( $i * $i ) > $i ).
tff(function_strict_equiv,axiom,
( ( strict_equiv('fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
& ( strict_equiv('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( strict_equiv('fmb_$i_1','fmb_$i_3') = 'fmb_$i_2' )
& ( strict_equiv('fmb_$i_1','fmb_$i_4') = 'fmb_$i_2' )
& ( strict_equiv('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( strict_equiv('fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( strict_equiv('fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( strict_equiv('fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( strict_equiv('fmb_$i_3','fmb_$i_1') = 'fmb_$i_2' )
& ( strict_equiv('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( strict_equiv('fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( strict_equiv('fmb_$i_3','fmb_$i_4') = 'fmb_$i_2' )
& ( strict_equiv('fmb_$i_4','fmb_$i_1') = 'fmb_$i_2' )
& ( strict_equiv('fmb_$i_4','fmb_$i_2') = 'fmb_$i_2' )
& ( strict_equiv('fmb_$i_4','fmb_$i_3') = 'fmb_$i_2' )
& ( strict_equiv('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' ) ) ).
tff(declare_possibly,type,
possibly: $i > $i ).
tff(function_possibly,axiom,
( ( possibly('fmb_$i_1') = 'fmb_$i_4' )
& ( possibly('fmb_$i_2') = 'fmb_$i_2' )
& ( possibly('fmb_$i_3') = 'fmb_$i_4' )
& ( possibly('fmb_$i_4') = 'fmb_$i_4' ) ) ).
tff(declare_op_or,type,
op_or: $o ).
tff(op_or_definition,axiom,
op_or ).
tff(declare_op_and,type,
op_and: $o ).
% op_and undefined
tff(declare_op_implies_and,type,
op_implies_and: $o ).
tff(op_implies_and_definition,axiom,
op_implies_and ).
tff(declare_op_implies_or,type,
op_implies_or: $o ).
% op_implies_or undefined
tff(declare_op_equiv,type,
op_equiv: $o ).
tff(op_equiv_definition,axiom,
op_equiv ).
tff(declare_necessitation,type,
necessitation: $o ).
% necessitation undefined
tff(declare_modus_ponens_strict_implies,type,
modus_ponens_strict_implies: $o ).
% modus_ponens_strict_implies undefined
tff(declare_adjunction,type,
adjunction: $o ).
% adjunction undefined
tff(declare_substitution_strict_equiv,type,
substitution_strict_equiv: $o ).
% substitution_strict_equiv undefined
tff(declare_axiom_K,type,
axiom_K: $o ).
% axiom_K undefined
tff(declare_axiom_M,type,
axiom_M: $o ).
% axiom_M undefined
tff(declare_axiom_4,type,
axiom_4: $o ).
% axiom_4 undefined
tff(declare_axiom_B,type,
axiom_B: $o ).
% axiom_B undefined
tff(declare_axiom_5,type,
axiom_5: $o ).
% axiom_5 undefined
tff(declare_axiom_s1,type,
axiom_s1: $o ).
% axiom_s1 undefined
tff(declare_axiom_s2,type,
axiom_s2: $o ).
% axiom_s2 undefined
tff(declare_axiom_s3,type,
axiom_s3: $o ).
% axiom_s3 undefined
tff(declare_axiom_s4,type,
axiom_s4: $o ).
% axiom_s4 undefined
tff(declare_axiom_m1,type,
axiom_m1: $o ).
% axiom_m1 undefined
tff(declare_axiom_m2,type,
axiom_m2: $o ).
% axiom_m2 undefined
tff(declare_axiom_m3,type,
axiom_m3: $o ).
% axiom_m3 undefined
tff(declare_axiom_m4,type,
axiom_m4: $o ).
% axiom_m4 undefined
tff(declare_axiom_m5,type,
axiom_m5: $o ).
% axiom_m5 undefined
tff(declare_axiom_m6,type,
axiom_m6: $o ).
% axiom_m6 undefined
tff(declare_axiom_m7,type,
axiom_m7: $o ).
% axiom_m7 undefined
tff(declare_axiom_m8,type,
axiom_m8: $o ).
% axiom_m8 undefined
tff(declare_axiom_m9,type,
axiom_m9: $o ).
% axiom_m9 undefined
tff(declare_axiom_m10,type,
axiom_m10: $o ).
% axiom_m10 undefined
tff(declare_op_possibly,type,
op_possibly: $o ).
tff(op_possibly_definition,axiom,
op_possibly ).
tff(declare_op_necessarily,type,
op_necessarily: $o ).
% op_necessarily undefined
tff(declare_op_strict_implies,type,
op_strict_implies: $o ).
tff(op_strict_implies_definition,axiom,
op_strict_implies ).
tff(declare_op_strict_equiv,type,
op_strict_equiv: $o ).
tff(op_strict_equiv_definition,axiom,
op_strict_equiv ).
tff(declare_op_implies,type,
op_implies: $o ).
% op_implies undefined
tff(declare_substitution_of_equivalents,type,
substitution_of_equivalents: $o ).
% substitution_of_equivalents undefined
tff(declare_is_a_theorem,type,
is_a_theorem: $i > $o ).
tff(predicate_is_a_theorem,axiom,
( is_a_theorem('fmb_$i_1')
& ~ is_a_theorem('fmb_$i_2')
& ~ is_a_theorem('fmb_$i_3')
& is_a_theorem('fmb_$i_4') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL571+1 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jun 22 13:49:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_CSA_RFO_SEQ 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
% 0.21/0.41 % (12416)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (12418)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 (3000ds/99418Mi)
% 0.21/0.42 % (12416)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (12419)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.21/0.42 % (12416)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (12421)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.21/0.42 % (12416)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (12420)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 (3000ds/152523Mi)
% 0.21/0.42 % (12416)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (12422)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 (3000ds/146Mi)
% 0.21/0.42 % (12416)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (12417)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.21/0.42 % (12416)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (12423)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 (3000ds/115Mi)
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.43 TRYING [3]
% 0.21/0.44 TRYING [10]
% 0.21/0.44 TRYING [4]
% 0.21/0.47 % (12421)Instruction limit reached!
% 0.21/0.47 % (12421)------------------------------
% 0.21/0.47 % (12421)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (12421)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (12421)Termination reason: Time limit
% 0.21/0.47 % (12421)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (12421)Memory used [KB]: 2204
% 0.21/0.47 % (12421)Time elapsed: 0.053 s
% 0.21/0.47 % (12421)Instructions burned: 105 (million)
% 0.21/0.48 % (12423)Instruction limit reached!
% 0.21/0.48 % (12423)------------------------------
% 0.21/0.48 % (12423)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (12423)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (12423)Termination reason: Time limit
% 0.21/0.48 % (12423)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (12423)Memory used [KB]: 2557
% 0.21/0.48 % (12423)Time elapsed: 0.057 s
% 0.21/0.48 % (12423)Instructions burned: 118 (million)
% 0.21/0.48 Finite Model Found!
% 0.21/0.48 % SZS status CounterSatisfiable for theBenchmark
% 0.21/0.48 % (12422)Instruction limit reached!
% 0.21/0.48 % (12422)------------------------------
% 0.21/0.48 % (12422)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (12422)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (12422)Termination reason: Time limit
% 0.21/0.48 % (12422)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (12422)Memory used [KB]: 2217
% 0.21/0.48 % (12422)Time elapsed: 0.065 s
% 0.21/0.48 % (12422)Instructions burned: 146 (million)
% 0.21/0.48 % (12419)First to succeed.
% 0.21/0.48 % (12419)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12416"
% 0.21/0.48 % (12416)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.21/0.48 % (12419)------------------------------
% 0.21/0.48 % (12419)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (12419)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (12419)Termination reason: Satisfiable
% 0.21/0.48
% 0.21/0.48 % (12419)Memory used [KB]: 1340
% 0.21/0.48 % (12419)Time elapsed: 0.065 s
% 0.21/0.48 % (12419)Instructions burned: 200 (million)
% 0.21/0.48 % (12419)------------------------------
% 0.21/0.48 % (12419)------------------------------
% 0.21/0.48 % (12416)Success in time 0.121 s
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