TSTP Solution File: NUM926^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM926^1 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 02:14:57 EDT 2024
% Result : Theorem 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 48
% Syntax : Number of formulae : 80 ( 15 unt; 39 typ; 0 def)
% Number of atoms : 614 ( 60 equ; 0 cnn)
% Maximal formula atoms : 4 ( 14 avg)
% Number of connectives : 60 ( 28 ~; 21 |; 1 &; 0 @)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 44 ( 43 >; 1 *; 0 +; 0 <<)
% Number of symbols : 39 ( 36 usr; 13 con; 0-6 aty)
% Number of variables : 61 ( 0 ^ 35 !; 20 ?; 61 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
int: $tType ).
thf(type_def_6,type,
nat: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
int: $tType ).
thf(func_def_1,type,
nat: $tType ).
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,
zprime: int > $o ).
thf(func_def_9,type,
bit0: int > int ).
thf(func_def_10,type,
bit1: int > int ).
thf(func_def_11,type,
pls: int ).
thf(func_def_12,type,
number_number_of_int: int > int ).
thf(func_def_13,type,
number_number_of_nat: int > nat ).
thf(func_def_14,type,
ord_less_int: int > int > $o ).
thf(func_def_15,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_16,type,
ord_less_eq_int: int > int > $o ).
thf(func_def_17,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_18,type,
power_power_int: int > nat > int ).
thf(func_def_19,type,
power_power_nat: nat > nat > nat ).
thf(func_def_20,type,
twoSqu1013291560sum2sq: int > $o ).
thf(func_def_21,type,
m: int ).
thf(func_def_22,type,
s: int ).
thf(func_def_23,type,
t: int ).
thf(func_def_27,type,
sK0: int ).
thf(func_def_28,type,
sK1: int ).
thf(func_def_29,type,
sK2: int ).
thf(func_def_30,type,
sK3: int ).
thf(func_def_31,type,
sK4: int ).
thf(func_def_32,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_33,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_34,type,
vAND: $o > $o > $o ).
thf(func_def_35,type,
vOR: $o > $o > $o ).
thf(func_def_36,type,
vIMP: $o > $o > $o ).
thf(func_def_37,type,
vNOT: $o > $o ).
thf(func_def_38,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f1308,plain,
$false,
inference(unit_resulting_resolution,[],[f528,f529,f1007,f377]) ).
thf(f377,plain,
! [X0: int,X1: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f151]) ).
thf(f151,plain,
! [X0: int,X1: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0) )
| ( X0 = X1 )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) ) ),
inference(fool_elimination,[],[f150]) ).
thf(f150,plain,
! [X0: int,X1: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0)
| ( X0 = X1 )
| vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) ),
inference(rectify,[],[f30]) ).
thf(f30,axiom,
! [X16: int,X17: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X17),X16)
| ( X16 = X17 )
| vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X16),X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_zless__linear) ).
thf(f1007,plain,
$true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,t),one_one_int),
inference(unit_resulting_resolution,[],[f457,f561]) ).
thf(f561,plain,
! [X0: int,X1: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0) ) ),
inference(forward_demodulation,[],[f560,f340]) ).
thf(f340,plain,
! [X0: int] : ( vAPP(int,int,number_number_of_int,X0) = X0 ),
inference(cnf_transformation,[],[f230]) ).
thf(f230,plain,
! [X0: int] : ( vAPP(int,int,number_number_of_int,X0) = X0 ),
inference(rectify,[],[f112]) ).
thf(f112,axiom,
! [X18: int] : ( vAPP(int,int,number_number_of_int,X18) = X18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_111_number__of__is__id) ).
thf(f560,plain,
! [X0: int,X1: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X0)),X1) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0) ) ),
inference(forward_demodulation,[],[f559,f340]) ).
thf(f559,plain,
! [X0: int,X1: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X0) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X0)),vAPP(int,int,number_number_of_int,X1)) ) ),
inference(forward_demodulation,[],[f558,f340]) ).
thf(f558,plain,
! [X0: int,X1: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,number_number_of_int,X1)),X0) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X0)),vAPP(int,int,number_number_of_int,X1)) ) ),
inference(forward_demodulation,[],[f396,f340]) ).
thf(f396,plain,
! [X0: int,X1: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,number_number_of_int,X1)),vAPP(int,int,number_number_of_int,X0)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X0)),vAPP(int,int,number_number_of_int,X1)) ) ),
inference(cnf_transformation,[],[f327]) ).
thf(f327,plain,
! [X0: int,X1: int] :
( ( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X0)),vAPP(int,int,number_number_of_int,X1)) )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,number_number_of_int,X1)),vAPP(int,int,number_number_of_int,X0)) ) )
& ( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,number_number_of_int,X1)),vAPP(int,int,number_number_of_int,X0)) )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X0)),vAPP(int,int,number_number_of_int,X1)) ) ) ),
inference(nnf_transformation,[],[f263]) ).
thf(f263,plain,
! [X0: int,X1: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X0)),vAPP(int,int,number_number_of_int,X1)) )
<=> ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,number_number_of_int,X1)),vAPP(int,int,number_number_of_int,X0)) ) ),
inference(flattening,[],[f163]) ).
thf(f163,plain,
! [X0: int,X1: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X0)),vAPP(int,int,number_number_of_int,X1)) )
<=> ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,number_number_of_int,X1)),vAPP(int,int,number_number_of_int,X0)) ) ),
inference(fool_elimination,[],[f162]) ).
thf(f162,plain,
! [X0: int,X1: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X0)),vAPP(int,int,number_number_of_int,X1))
<=> ~ vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,number_number_of_int,X1)),vAPP(int,int,number_number_of_int,X0)) ),
inference(rectify,[],[f39]) ).
thf(f39,axiom,
! [X25: int,X26: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(int,int,number_number_of_int,X25)),vAPP(int,int,number_number_of_int,X26))
<=> ~ vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,vAPP(int,int,number_number_of_int,X26)),vAPP(int,int,number_number_of_int,X25)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_le__number__of__eq__not__less) ).
thf(f457,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true,
inference(cnf_transformation,[],[f217]) ).
thf(f217,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true,
inference(fool_elimination,[],[f216]) ).
thf(f216,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_tpos) ).
thf(f529,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) != $true,
inference(subsumption_resolution,[],[f337,f328]) ).
thf(f328,plain,
! [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) ),
inference(cnf_transformation,[],[f297]) ).
thf(f297,plain,
! [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) ),
inference(ennf_transformation,[],[f125]) ).
thf(f125,negated_conjecture,
~ ? [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) ),
inference(negated_conjecture,[],[f124]) ).
thf(f124,conjecture,
? [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f337,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK2),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK3),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) != $true ) ),
inference(cnf_transformation,[],[f316]) ).
thf(f316,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK2),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK3),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) != $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f299,f315]) ).
thf(f315,plain,
( ? [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) )
=> ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK2),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK3),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(choice_axiom,[]) ).
thf(f299,plain,
( ? [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) != $true ) ),
inference(ennf_transformation,[],[f129]) ).
thf(f129,plain,
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) = $true )
=> ? [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) ) ),
inference(fool_elimination,[],[f128]) ).
thf(f128,plain,
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t)
=> ? [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t)
=> ? [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
thf(f528,plain,
one_one_int != t,
inference(subsumption_resolution,[],[f336,f328]) ).
thf(f336,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( one_one_int != t ) ),
inference(cnf_transformation,[],[f314]) ).
thf(f314,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( one_one_int != t ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f298,f313]) ).
thf(f313,plain,
( ? [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) )
=> ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(choice_axiom,[]) ).
thf(f298,plain,
( ? [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) )
| ( one_one_int != t ) ),
inference(ennf_transformation,[],[f2]) ).
thf(f2,axiom,
( ( one_one_int = t )
=> ? [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM926^1 : TPTP v8.2.0. Released v5.3.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 07:11:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (19462)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (19465)WARNING: value z3 for option sas not known
% 0.14/0.38 % (19469)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (19470)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (19463)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (19464)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (19465)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (19467)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (19468)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_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (19470)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.39 % Exception at run slice level
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 % Exception at run slice level
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 % Exception at run slice level
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.40 % (19471)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.14/0.40 % (19472)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.14/0.40 % (19473)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.20/0.41 % (19471)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.41 % (19472)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.41 % Exception at run slice level
% 0.20/0.41 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.42 % (19470)First to succeed.
% 0.20/0.42 % (19470)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19462"
% 0.20/0.42 % (19470)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Theorem for theBenchmark
% 0.20/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.42 % (19470)------------------------------
% 0.20/0.42 % (19470)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.42 % (19470)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (19470)Memory used [KB]: 1153
% 0.20/0.42 % (19470)Time elapsed: 0.045 s
% 0.20/0.42 % (19470)Instructions burned: 101 (million)
% 0.20/0.42 % (19462)Success in time 0.065 s
%------------------------------------------------------------------------------