%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP129^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:48 AM UTC 2026
% Result : Theorem 7.29s 1.37s
% Output : Refutation 7.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 23
% Syntax : Number of formulae : 93 ( 78 unt; 0 typ; 9 def)
% Number of atoms : 109 ( 108 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 309 ( 18 ~; 14 |; 0 &; 275 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 55 ( 53 usr; 18 con; 0-4 aty)
% Number of variables : 34 ( 0 ^; 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(type_def_6,type,
int: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
gbinomial_int: int > nat > int ).
thf(func_def_1,type,
gbinomial_nat: nat > nat > nat ).
thf(func_def_2,type,
one_one_int: int ).
thf(func_def_3,type,
one_one_nat: nat ).
thf(func_def_4,type,
plus_plus_int: int > int > int ).
thf(func_def_5,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_6,type,
times_times_int: int > int > int ).
thf(func_def_7,type,
times_times_nat: nat > nat > nat ).
thf(func_def_8,type,
zero_zero_int: int ).
thf(func_def_9,type,
zero_zero_nat: nat ).
thf(func_def_10,type,
nO_MATCH_int_int: int > int > $o ).
thf(func_def_11,type,
nO_MATCH_int_nat: int > nat > $o ).
thf(func_def_12,type,
nO_MATCH_nat_int: nat > int > $o ).
thf(func_def_13,type,
nO_MATCH_nat_nat: nat > nat > $o ).
thf(func_def_14,type,
if_nat: $o > nat > nat > nat ).
thf(func_def_15,type,
suc: nat > nat ).
thf(func_def_16,type,
semiri2019852685at_int: nat > int ).
thf(func_def_17,type,
semiri1382578993at_nat: nat > nat ).
thf(func_def_18,type,
nthRoo1352626670d_root: nat > nat > $o ).
thf(func_def_19,type,
power_power_int: int > nat > int ).
thf(func_def_20,type,
power_power_nat: nat > nat > nat ).
thf(func_def_21,type,
divide_divide_int: int > int > int ).
thf(func_def_22,type,
divide_divide_nat: nat > nat > nat ).
thf(func_def_23,type,
n: int ).
thf(func_def_24,type,
p: nat ).
thf(func_def_25,type,
pm: nat ).
thf(func_def_26,type,
x: int ).
thf(func_def_28,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_31,type,
vAND: $o > $o > $o ).
thf(func_def_32,type,
vNOT: $o > $o ).
thf(func_def_33,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_34,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_35,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_36,type,
vOR: $o > $o > $o ).
thf(func_def_37,type,
sK0: ( nat > $o ) > nat ).
thf(func_def_38,type,
sK1: ( nat > nat > $o ) > nat ).
thf(func_def_39,type,
sK2: ( nat > nat > $o ) > nat ).
thf(func_def_40,type,
sK3: ( nat > nat > $o ) > nat ).
thf(func_def_41,type,
sK4: ( nat > nat > $o ) > nat ).
thf(func_def_42,type,
sK5: ( nat > $o ) > nat ).
thf(func_def_43,type,
sK6: nat > nat ).
thf(func_def_44,type,
sK7: ( nat > $o ) > nat ).
thf(func_def_45,type,
sK8: nat > nat ).
thf(func_def_46,type,
sF9: nat ).
thf(func_def_47,type,
sF10: int ).
thf(func_def_48,type,
sF11: int ).
thf(func_def_49,type,
sF12: int ).
thf(func_def_50,type,
sF13: int ).
thf(func_def_51,type,
sF14: int ).
thf(func_def_52,type,
sF15: int ).
thf(func_def_53,type,
sF16: int ).
thf(func_def_54,type,
sF17: int ).
thf(f1,axiom,
( ( power_power_int @ x @ p )
= n ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_xn) ).
thf(f14,axiom,
! [X0: int,X1: nat] :
( ( power_power_int @ X0 @ ( suc @ X1 ) )
= ( times_times_int @ X0 @ ( power_power_int @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_power__Suc) ).
thf(f21,axiom,
( p
= ( suc @ pm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_p) ).
thf(f110,axiom,
! [X0: int] :
( ( plus_plus_int @ x @ ( times_times_int @ x @ X0 ) )
= ( times_times_int @ x @ ( plus_plus_int @ one_one_int @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_109__092_060open_062_092_060And_062n_O_Ax_A_L_Ax_A_K_An_A_061_Ax_A_K_A_I1_A_L_An_J_092_060close_062) ).
thf(f125,axiom,
! [X0: nat] :
( ( semiri2019852685at_int @ ( suc @ X0 ) )
= ( plus_plus_int @ one_one_int @ ( semiri2019852685at_int @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_124_of__nat__Suc) ).
thf(f183,axiom,
! [X0: int] :
( ( divide_divide_int @ X0 @ zero_zero_int )
= zero_zero_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_182_div__by__0) ).
thf(f185,axiom,
! [X0: int] :
( ( divide_divide_int @ zero_zero_int @ X0 )
= zero_zero_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_184_div__0) ).
thf(f224,axiom,
! [X0: int,X1: int] :
( ( X0 != zero_zero_int )
=> ( ( divide_divide_int @ ( times_times_int @ X1 @ X0 ) @ X0 )
= X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_223_nonzero__mult__div__cancel__right) ).
thf(f268,axiom,
! [X0: int,X1: nat] :
( ( X0 != zero_zero_int )
=> ( ( power_power_int @ X0 @ X1 )
!= zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_267_power__not__zero) ).
thf(f289,axiom,
! [X0: int] :
( ( times_times_int @ zero_zero_int @ X0 )
= zero_zero_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_288_times__int__code_I2_J) ).
thf(f291,axiom,
! [X0: int] :
( ( plus_plus_int @ zero_zero_int @ X0 )
= X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_290_plus__int__code_I2_J) ).
thf(f295,axiom,
( suc
= ( plus_plus_nat @ one_one_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_294_Suc__eq__plus1__left) ).
thf(f300,axiom,
! [X0: nat] :
( ( semiri2019852685at_int @ ( suc @ X0 ) )
!= zero_zero_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_299_of__nat__neq__0) ).
thf(f313,conjecture,
( ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( power_power_int @ x @ ( suc @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) )
= x ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f314,negated_conjecture,
( ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( power_power_int @ x @ ( suc @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) )
!= x ),
inference(negated_conjecture,[status(cth)],[f313]) ).
thf(f433,plain,
( x
!= ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( power_power_int @ x @ ( suc @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) ),
inference(flattening,[],[f314]) ).
thf(f472,plain,
! [X0: int,X1: int] :
( ( ( divide_divide_int @ ( times_times_int @ X1 @ X0 ) @ X0 )
= X1 )
| ( zero_zero_int = X0 ) ),
inference(ennf_transformation,[],[f224]) ).
thf(f502,plain,
! [X0: int,X1: nat] :
( ( ( power_power_int @ X0 @ X1 )
!= zero_zero_int )
| ( zero_zero_int = X0 ) ),
inference(ennf_transformation,[],[f268]) ).
thf(f531,plain,
( ( power_power_int @ x @ p )
= n ),
inference(cnf_transformation,[],[f1]) ).
thf(f544,plain,
! [X0: int,X1: nat] :
( ( power_power_int @ X0 @ ( suc @ X1 ) )
= ( times_times_int @ X0 @ ( power_power_int @ X0 @ X1 ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f551,plain,
( p
= ( suc @ pm ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f641,plain,
! [X0: int] :
( ( plus_plus_int @ x @ ( times_times_int @ x @ X0 ) )
= ( times_times_int @ x @ ( plus_plus_int @ one_one_int @ X0 ) ) ),
inference(cnf_transformation,[],[f110]) ).
thf(f656,plain,
! [X0: nat] :
( ( semiri2019852685at_int @ ( suc @ X0 ) )
= ( plus_plus_int @ one_one_int @ ( semiri2019852685at_int @ X0 ) ) ),
inference(cnf_transformation,[],[f125]) ).
thf(f714,plain,
! [X0: int] :
( zero_zero_int
= ( divide_divide_int @ X0 @ zero_zero_int ) ),
inference(cnf_transformation,[],[f183]) ).
thf(f716,plain,
! [X0: int] :
( zero_zero_int
= ( divide_divide_int @ zero_zero_int @ X0 ) ),
inference(cnf_transformation,[],[f185]) ).
thf(f758,plain,
! [X0: int,X1: int] :
( ( ( divide_divide_int @ ( times_times_int @ X1 @ X0 ) @ X0 )
= X1 )
| ( zero_zero_int = X0 ) ),
inference(cnf_transformation,[],[f472]) ).
thf(f806,plain,
! [X0: int,X1: nat] :
( ( ( power_power_int @ X0 @ X1 )
!= zero_zero_int )
| ( zero_zero_int = X0 ) ),
inference(cnf_transformation,[],[f502]) ).
thf(f831,plain,
! [X0: int] :
( zero_zero_int
= ( times_times_int @ zero_zero_int @ X0 ) ),
inference(cnf_transformation,[],[f289]) ).
thf(f833,plain,
! [X0: int] :
( ( plus_plus_int @ zero_zero_int @ X0 )
= X0 ),
inference(cnf_transformation,[],[f291]) ).
thf(f837,plain,
( suc
= ( plus_plus_nat @ one_one_nat ) ),
inference(cnf_transformation,[],[f295]) ).
thf(f842,plain,
! [X0: nat] :
( ( semiri2019852685at_int @ ( suc @ X0 ) )
!= zero_zero_int ),
inference(cnf_transformation,[],[f300]) ).
thf(f855,plain,
( x
!= ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( power_power_int @ x @ ( suc @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) ) ),
inference(cnf_transformation,[],[f433]) ).
thf(f859,plain,
! [X0: int,X1: nat] :
( ( times_times_int @ X0 @ ( power_power_int @ X0 @ X1 ) )
= ( power_power_int @ X0 @ ( plus_plus_nat @ one_one_nat @ X1 ) ) ),
inference(definition_unfolding,[],[f544,f837]) ).
thf(f864,plain,
( p
= ( plus_plus_nat @ one_one_nat @ pm ) ),
inference(definition_unfolding,[],[f551,f837]) ).
thf(f878,plain,
! [X0: nat] :
( ( plus_plus_int @ one_one_int @ ( semiri2019852685at_int @ X0 ) )
= ( semiri2019852685at_int @ ( plus_plus_nat @ one_one_nat @ X0 ) ) ),
inference(definition_unfolding,[],[f656,f837]) ).
thf(f912,plain,
! [X0: nat] :
( zero_zero_int
!= ( semiri2019852685at_int @ ( plus_plus_nat @ one_one_nat @ X0 ) ) ),
inference(definition_unfolding,[],[f842,f837]) ).
thf(f916,plain,
( x
!= ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( power_power_int @ x @ ( plus_plus_nat @ one_one_nat @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( plus_plus_nat @ one_one_nat @ pm ) ) ) ),
inference(definition_unfolding,[],[f855,f837,f837]) ).
thf(f940,definition,
( sF9
= ( plus_plus_nat @ one_one_nat @ pm ) ),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
thf(f941,plain,
( ( plus_plus_nat @ one_one_nat @ pm )
= sF9 ),
inference(reorient_equations,[],[f940]) ).
thf(f942,definition,
( sF10
= ( power_power_int @ x @ sF9 ) ),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
thf(f943,plain,
( ( power_power_int @ x @ sF9 )
= sF10 ),
inference(reorient_equations,[],[f942]) ).
thf(f944,definition,
( sF11
= ( power_power_int @ x @ pm ) ),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
thf(f945,plain,
( ( power_power_int @ x @ pm )
= sF11 ),
inference(reorient_equations,[],[f944]) ).
thf(f946,definition,
( sF12
= ( divide_divide_int @ sF10 @ sF11 ) ),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
thf(f947,plain,
( ( divide_divide_int @ sF10 @ sF11 )
= sF12 ),
inference(reorient_equations,[],[f946]) ).
thf(f948,definition,
( sF13
= ( semiri2019852685at_int @ pm ) ),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
thf(f949,plain,
( ( semiri2019852685at_int @ pm )
= sF13 ),
inference(reorient_equations,[],[f948]) ).
thf(f950,definition,
( sF14
= ( times_times_int @ x @ sF13 ) ),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
thf(f951,plain,
( ( times_times_int @ x @ sF13 )
= sF14 ),
inference(reorient_equations,[],[f950]) ).
thf(f952,definition,
( sF15
= ( plus_plus_int @ sF12 @ sF14 ) ),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
thf(f953,plain,
( ( plus_plus_int @ sF12 @ sF14 )
= sF15 ),
inference(reorient_equations,[],[f952]) ).
thf(f954,definition,
( sF16
= ( semiri2019852685at_int @ sF9 ) ),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
thf(f955,plain,
( ( semiri2019852685at_int @ sF9 )
= sF16 ),
inference(reorient_equations,[],[f954]) ).
thf(f956,definition,
( sF17
= ( divide_divide_int @ sF15 @ sF16 ) ),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
thf(f957,plain,
( ( divide_divide_int @ sF15 @ sF16 )
= sF17 ),
inference(reorient_equations,[],[f956]) ).
thf(f958,plain,
x != sF17,
inference(definition_folding,[],[f916,f957,f955,f941,f953,f951,f949,f947,f945,f943,f941]) ).
thf(f1615,plain,
p = sF9,
inference(forward_demodulation,[],[f941,f864]) ).
thf(f1633,plain,
( sF16
= ( semiri2019852685at_int @ p ) ),
inference(constrained_superposition,[],[f955,f1615]) ).
thf(f1654,plain,
( ( power_power_int @ x @ p )
= sF10 ),
inference(constrained_superposition,[],[f943,f1615]) ).
thf(f1656,plain,
n = sF10,
inference(constrained_superposition,[],[f531,f1654]) ).
thf(f1695,plain,
( ( zero_zero_int != sF11 )
| ( x = zero_zero_int ) ),
inference(constrained_superposition,[],[f806,f945]) ).
thf(f1704,plain,
( zero_zero_int
!= ( semiri2019852685at_int @ p ) ),
inference(constrained_superposition,[],[f912,f864]) ).
thf(f1707,plain,
zero_zero_int != sF16,
inference(forward_demodulation,[],[f1704,f1633]) ).
thf(f2080,plain,
( ( semiri2019852685at_int @ ( plus_plus_nat @ one_one_nat @ pm ) )
= ( plus_plus_int @ one_one_int @ sF13 ) ),
inference(constrained_superposition,[],[f878,f949]) ).
thf(f2089,plain,
( ( semiri2019852685at_int @ p )
= ( plus_plus_int @ one_one_int @ sF13 ) ),
inference(forward_demodulation,[],[f2080,f864]) ).
thf(f2094,plain,
( sF16
= ( plus_plus_int @ one_one_int @ sF13 ) ),
inference(forward_demodulation,[],[f2089,f1633]) ).
thf(f2948,plain,
( ( times_times_int @ x @ ( plus_plus_int @ one_one_int @ sF13 ) )
= ( plus_plus_int @ x @ sF14 ) ),
inference(constrained_superposition,[],[f641,f951]) ).
thf(f2958,plain,
( ( plus_plus_int @ x @ sF14 )
= ( times_times_int @ x @ sF16 ) ),
inference(forward_demodulation,[],[f2948,f2094]) ).
thf(f2970,plain,
( ( power_power_int @ x @ ( plus_plus_nat @ one_one_nat @ pm ) )
= ( times_times_int @ x @ sF11 ) ),
inference(constrained_superposition,[],[f859,f945]) ).
thf(f2990,plain,
( ( power_power_int @ x @ p )
= ( times_times_int @ x @ sF11 ) ),
inference(forward_demodulation,[],[f2970,f864]) ).
thf(f2998,plain,
( n
= ( times_times_int @ x @ sF11 ) ),
inference(forward_demodulation,[],[f2990,f531]) ).
thf(f3002,plain,
( sF10
= ( times_times_int @ x @ sF11 ) ),
inference(forward_demodulation,[],[f2998,f1656]) ).
thf(f3007,plain,
( ( x
= ( divide_divide_int @ sF10 @ sF11 ) )
| ( zero_zero_int = sF11 ) ),
inference(constrained_superposition,[],[f758,f3002]) ).
thf(f3010,plain,
( ( x = sF12 )
| ( zero_zero_int = sF11 ) ),
inference(forward_demodulation,[],[f3007,f947]) ).
thf(f3052,plain,
( ( sF15
= ( plus_plus_int @ x @ sF14 ) )
| ( zero_zero_int = sF11 ) ),
inference(constrained_superposition,[],[f953,f3010]) ).
thf(f3053,plain,
( ( sF15
= ( times_times_int @ x @ sF16 ) )
| ( zero_zero_int = sF11 ) ),
inference(forward_demodulation,[],[f3052,f2958]) ).
thf(f4986,plain,
( ( x
= ( divide_divide_int @ sF15 @ sF16 ) )
| ( zero_zero_int = sF16 )
| ( zero_zero_int = sF11 ) ),
inference(constrained_superposition,[],[f758,f3053]) ).
thf(f5001,plain,
( ( x
= ( divide_divide_int @ sF15 @ sF16 ) )
| ( zero_zero_int = sF11 ) ),
inference(forward_subsumption_resolution,[],[f4986,f1707]) ).
thf(f5012,plain,
( ( x = sF17 )
| ( zero_zero_int = sF11 ) ),
inference(forward_demodulation,[],[f5001,f957]) ).
thf(f5014,plain,
zero_zero_int = sF11,
inference(forward_subsumption_resolution,[],[f5012,f958]) ).
thf(f5071,plain,
( ( zero_zero_int != zero_zero_int )
| ( x = zero_zero_int ) ),
inference(constrained_superposition,[],[f1695,f5014]) ).
thf(f5072,plain,
( sF12
= ( divide_divide_int @ sF10 @ zero_zero_int ) ),
inference(constrained_superposition,[],[f947,f5014]) ).
thf(f5073,plain,
x = zero_zero_int,
inference(trivial_inequality_removal,[],[f5071]) ).
thf(f5074,plain,
zero_zero_int = sF12,
inference(forward_demodulation,[],[f5072,f714]) ).
thf(f5111,plain,
( sF14
= ( times_times_int @ zero_zero_int @ sF13 ) ),
inference(constrained_superposition,[],[f951,f5073]) ).
thf(f5117,plain,
zero_zero_int = sF14,
inference(forward_demodulation,[],[f5111,f831]) ).
thf(f5164,plain,
( sF15
= ( plus_plus_int @ zero_zero_int @ sF14 ) ),
inference(constrained_superposition,[],[f953,f5074]) ).
thf(f5165,plain,
sF14 = sF15,
inference(forward_demodulation,[],[f5164,f833]) ).
thf(f5167,plain,
zero_zero_int = sF15,
inference(forward_demodulation,[],[f5165,f5117]) ).
thf(f5447,plain,
( sF17
= ( divide_divide_int @ zero_zero_int @ sF16 ) ),
inference(constrained_superposition,[],[f957,f5167]) ).
thf(f5448,plain,
zero_zero_int = sF17,
inference(forward_demodulation,[],[f5447,f716]) ).
thf(f5467,plain,
x != zero_zero_int,
inference(constrained_superposition,[],[f958,f5448]) ).
thf(f5468,plain,
$false,
inference(forward_subsumption_resolution,[],[f5467,f5073]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP129^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n004.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 19:57:52 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.67/1.09 % (1766425)Will run a generic schedule for satisfiability detection.
% 5.67/1.09 % (1766433)dis+10_1_sil=32000:sp=arity:random_seed=822186371:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.67/1.09 % (1766431)% WARNING: option uhcvi not known.
% 5.67/1.09 % (1766431)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2924110364:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.67/1.09 % (1766430)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3365207067_2999 on theBenchmark for (2999ds/0Mi)
% 5.67/1.09 % (1766432)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1167486196:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.67/1.09 % (1766434)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1445881410:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.67/1.09 % (1766431)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.67/1.09 % (1766434)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.67/1.09 % (1766435)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1174368303:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.67/1.09 % (1766436)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=85048816:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.67/1.09 % (1766431)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.67/1.09 % Exception at run slice level
% 5.67/1.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.67/1.09 % (1766433)Instruction limit reached!
% 5.67/1.09 % (1766433)------------------------------
% 5.67/1.09 % (1766433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.09 % (1766433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.09 % (1766433)CaDiCaL version: 2.1.3
% 5.67/1.09 % (1766433)Termination reason: Instruction limit
% 5.67/1.09 % (1766433)Termination phase: Saturation
% 5.67/1.09 % (1766433)Time elapsed: 0.030 s
% 5.67/1.09 % (1766433)Peak memory usage: 12 MB
% 5.67/1.09 % (1766433)Instructions burned: 104 (million)
% 5.67/1.09 % (1766445)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1731482171:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.67/1.09 % (1766444)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3787204152:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.67/1.09 % (1766434)Instruction limit reached!
% 5.67/1.09 % (1766434)------------------------------
% 5.67/1.09 % (1766434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.09 % (1766434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.09 % (1766434)CaDiCaL version: 2.1.3
% 5.67/1.09 % (1766434)Termination reason: Instruction limit
% 5.67/1.09 % (1766434)Termination phase: Saturation
% 5.67/1.09 % (1766434)Time elapsed: 0.055 s
% 5.67/1.09 % (1766434)Peak memory usage: 13 MB
% 5.67/1.09 % (1766434)Instructions burned: 117 (million)
% 5.67/1.09 % Exception at run slice level
% 5.67/1.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.67/1.09 % (1766445)Instruction limit reached!
% 5.67/1.09 % (1766445)------------------------------
% 5.67/1.09 % (1766445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.09 % (1766445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.09 % (1766445)CaDiCaL version: 2.1.3
% 5.67/1.09 % (1766445)Termination reason: Instruction limit
% 5.67/1.09 % (1766445)Termination phase: Saturation
% 5.67/1.09 % (1766445)Time elapsed: 0.035 s
% 5.67/1.09 % (1766445)Peak memory usage: 12 MB
% 5.67/1.09 % (1766445)Instructions burned: 132 (million)
% 5.67/1.09 % (1766435)Instruction limit reached!
% 5.67/1.09 % (1766435)------------------------------
% 5.67/1.09 % (1766435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.09 % (1766435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.09 % (1766435)CaDiCaL version: 2.1.3
% 5.67/1.09 % (1766435)Termination reason: Instruction limit
% 5.67/1.09 % (1766435)Termination phase: Saturation
% 5.67/1.09 % (1766435)Time elapsed: 0.061 s
% 5.67/1.09 % (1766435)Peak memory usage: 13 MB
% 5.67/1.09 % (1766435)Instructions burned: 131 (million)
% 5.67/1.09 % (1766448)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=389900970:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.29/1.37 % (1766436)Instruction limit reached!
% 7.29/1.37 % (1766436)------------------------------
% 7.29/1.37 % (1766436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.37 % (1766436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.37 % (1766436)CaDiCaL version: 2.1.3
% 7.29/1.37 % (1766436)Termination reason: Instruction limit
% 7.29/1.37 % (1766436)Termination phase: Saturation
% 7.29/1.37 % (1766436)Time elapsed: 0.070 s
% 7.29/1.37 % (1766436)Peak memory usage: 13 MB
% 7.29/1.37 % (1766436)Instructions burned: 160 (million)
% 7.29/1.37 % (1766449)ott-21_1_sil=16000:fs=off:random_seed=4093514645:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.29/1.37 % (1766448)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.29/1.37 % (1766451)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1924427069:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 7.29/1.37 % Exception at run slice level
% 7.29/1.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.29/1.37 % (1766448)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.29/1.37 % (1766450)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=435314721:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.29/1.37 % (1766453)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=796360875:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 7.29/1.37 % (1766456)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2924738301:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 7.29/1.37 % Exception at run slice level
% 7.29/1.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.29/1.37 % (1766460)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1977341075:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 7.29/1.37 % (1766449)Instruction limit reached!
% 7.29/1.37 % (1766449)------------------------------
% 7.29/1.37 % (1766449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.37 % (1766449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.37 % (1766449)CaDiCaL version: 2.1.3
% 7.29/1.37 % (1766449)Termination reason: Instruction limit
% 7.29/1.37 % (1766449)Termination phase: Saturation
% 7.29/1.37 % (1766449)Time elapsed: 0.081 s
% 7.29/1.37 % (1766449)Peak memory usage: 13 MB
% 7.29/1.37 % (1766449)Instructions burned: 180 (million)
% 7.29/1.37 % (1766460)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.29/1.37 % (1766462)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2234262419:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 7.29/1.37 % (1766462)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.29/1.37 % (1766450)Instruction limit reached!
% 7.29/1.37 % (1766450)------------------------------
% 7.29/1.37 % (1766450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.37 % (1766450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.37 % (1766450)CaDiCaL version: 2.1.3
% 7.29/1.37 % (1766450)Termination reason: Instruction limit
% 7.29/1.37 % (1766450)Termination phase: Saturation
% 7.29/1.37 % (1766450)Time elapsed: 0.144 s
% 7.29/1.37 % (1766450)Peak memory usage: 13 MB
% 7.29/1.37 % (1766450)Instructions burned: 479 (million)
% 7.29/1.37 % (1766478)fmb+10_1_sil=64000:random_seed=65004161:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 7.29/1.37 % (1766478)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 7.29/1.37 % Exception at run slice level
% 7.29/1.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.29/1.37 % (1766483)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=990748803:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 7.29/1.37 % Exception at run slice level
% 7.29/1.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.29/1.37 % (1766493)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1875924203:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 7.29/1.37 % Exception at run slice level
% 7.29/1.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.29/1.37 % (1766504)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=534627479:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 7.29/1.37 % (1766504)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.29/1.37 % (1766448)Instruction limit reached!
% 7.29/1.37 % (1766448)------------------------------
% 7.29/1.37 % (1766448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.37 % (1766448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.37 % (1766448)CaDiCaL version: 2.1.3
% 7.29/1.37 % (1766448)Termination reason: Instruction limit
% 7.29/1.37 % (1766448)Termination phase: Saturation
% 7.29/1.37 % (1766448)Time elapsed: 0.282 s
% 7.29/1.37 % (1766448)Peak memory usage: 14 MB
% 7.29/1.37 % (1766448)Instructions burned: 684 (million)
% 7.29/1.37 % (1766532)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2520030246:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 7.29/1.37 % (1766532)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 7.29/1.37 % (1766532)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.29/1.37 % (1766460)Instruction limit reached!
% 7.29/1.37 % (1766460)------------------------------
% 7.29/1.37 % (1766460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.37 % (1766460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.37 % (1766460)CaDiCaL version: 2.1.3
% 7.29/1.37 % (1766460)Termination reason: Instruction limit
% 7.29/1.37 % (1766460)Termination phase: Saturation
% 7.29/1.37 % (1766460)Time elapsed: 0.302 s
% 7.29/1.37 % (1766460)Peak memory usage: 14 MB
% 7.29/1.37 % (1766460)Instructions burned: 693 (million)
% 7.29/1.37 % (1766557)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1711671471:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 7.29/1.37 % Exception at run slice level
% 7.29/1.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.29/1.37 % (1766559)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3391065041:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 7.29/1.37 % Exception at run slice level
% 7.29/1.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.29/1.37 % (1766577)ott-2_1_sil=16000:newcnf=on:random_seed=1707343874:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 7.29/1.37 % (1766577)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.29/1.37 % (1766462)Instruction limit reached!
% 7.29/1.37 % (1766462)------------------------------
% 7.29/1.37 % (1766462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.37 % (1766462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.37 % (1766462)CaDiCaL version: 2.1.3
% 7.29/1.37 % (1766462)Termination reason: Instruction limit
% 7.29/1.37 % (1766462)Termination phase: Saturation
% 7.29/1.37 % (1766462)Time elapsed: 0.439 s
% 7.29/1.37 % (1766462)Peak memory usage: 16 MB
% 7.29/1.37 % (1766462)Instructions burned: 880 (million)
% 7.29/1.37 % (1766597)ott+10_1_sil=32000:tgt=ground:random_seed=4039064599:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 7.29/1.37 % (1766453)Instruction limit reached!
% 7.29/1.37 % (1766453)------------------------------
% 7.29/1.37 % (1766453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.37 % (1766453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.37 % (1766453)CaDiCaL version: 2.1.3
% 7.29/1.37 % (1766453)Termination reason: Instruction limit
% 7.29/1.37 % (1766453)Termination phase: Saturation
% 7.29/1.37 % (1766453)Time elapsed: 0.639 s
% 7.29/1.37 % (1766453)Peak memory usage: 17 MB
% 7.29/1.37 % (1766453)Instructions burned: 1180 (million)
% 7.29/1.37 % (1766627)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=520016728:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 7.29/1.37 % Exception at run slice level
% 7.29/1.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.29/1.37 % (1766633)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=496497971:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 7.29/1.37 % (1766633)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.29/1.37 % (1766577)Instruction limit reached!
% 7.29/1.37 % (1766577)------------------------------
% 7.29/1.37 % (1766577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.37 % (1766577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.37 % (1766577)CaDiCaL version: 2.1.3
% 7.29/1.37 % (1766577)Termination reason: Instruction limit
% 7.29/1.37 % (1766577)Termination phase: Saturation
% 7.29/1.37 % (1766577)Time elapsed: 0.463 s
% 7.29/1.37 % (1766577)Peak memory usage: 14 MB
% 7.29/1.37 % (1766577)Instructions burned: 869 (million)
% 7.29/1.37 % (1766649)dis+21_1_sil=32000:sas=cadical:random_seed=4111431695:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 7.29/1.37 % (1766597) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1766425-1766597"...
% 7.29/1.37 % (1766597)...printing done.
% 7.29/1.37 % (1766597)Refutation found. Thanks to Tanya!
% 7.29/1.37 % SZS status Theorem for theBenchmark
% 7.29/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 7.29/1.38 % (1766597)------------------------------
% 7.29/1.38 % (1766597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.38 % (1766597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.38 % (1766597)CaDiCaL version: 2.1.3
% 7.29/1.38 % (1766597)Termination reason: Refutation
% 7.29/1.38 % (1766597)Time elapsed: 0.458 s
% 7.29/1.38 % (1766597)Peak memory usage: 15 MB
% 7.29/1.38 % (1766597)Instructions burned: 587 (million)
% 7.29/1.38 % (1766425)Success in time 1.161 s
% 7.29/1.38 % Vampire exiting
%------------------------------------------------------------------------------