%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ149^13 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 08:20:59 AM UTC 2026
% Result : Theorem 0.24s 0.33s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 18
% Syntax : Number of formulae : 138 ( 59 unt; 0 typ; 8 def)
% Number of atoms : 830 ( 177 equ; 0 cnn)
% Maximal formula atoms : 9 ( 6 avg)
% Number of connectives : 1170 ( 105 ~; 132 |; 50 &; 790 @)
% ( 7 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 72 ( 72 >; 0 *; 0 +; 0 <<)
% Number of symbols : 52 ( 47 usr; 28 con; 0-4 aty)
% ( 19 !!; 29 ??; 0 @@+; 0 @@-)
% Number of variables : 255 ( 0 sgn 48 !; 2 ?; 255 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mworld: $tType ).
thf(type_def_6,type,
mindex: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
mrel: mindex > mworld > mworld > $o ).
thf(func_def_1,type,
'#pour_b': mindex ).
thf(func_def_2,type,
'#make_c': mindex ).
thf(func_def_3,type,
'#pour_a': mindex ).
thf(func_def_4,type,
mactual: mworld ).
thf(func_def_5,type,
mlocal: ( mworld > $o ) > $o ).
thf(func_def_7,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(func_def_8,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_9,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_10,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_11,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_12,type,
mbox: mindex > ( mworld > $o ) > mworld > $o ).
thf(func_def_13,type,
mdia: mindex > ( mworld > $o ) > mworld > $o ).
thf(func_def_14,type,
acid: mworld > $o ).
thf(func_def_15,type,
vAND: $o > $o > $o ).
thf(func_def_16,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_18,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_19,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_20,type,
vOR: $o > $o > $o ).
thf(func_def_23,type,
vIFF: $o > $o > $o ).
thf(func_def_24,type,
vNOT: $o > $o ).
thf(func_def_25,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_26,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_27,type,
vIMP: $o > $o > $o ).
thf(func_def_28,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_29,type,
sF0: $o ).
thf(func_def_30,type,
sK1: mworld ).
thf(func_def_31,type,
sK2: mworld ).
thf(func_def_32,type,
sK3: mworld ).
thf(func_def_33,type,
sK4: mworld ).
thf(func_def_34,type,
sK5: mworld ).
thf(func_def_35,type,
sK6: mworld ).
thf(func_def_36,type,
sK7: mworld ).
thf(func_def_37,type,
sK8: mworld ).
thf(func_def_38,type,
sK9: mworld ).
thf(func_def_39,type,
sK10: mworld ).
thf(func_def_40,type,
sK11: mworld ).
thf(func_def_41,type,
sK12: mworld ).
thf(f1,axiom,
( mlocal
= ( ^ [X0: mworld > $o] : ( X0 @ mactual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).
thf(f2,axiom,
( mnot
= ( ^ [X0: mworld > $o,X1: mworld] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot_def) ).
thf(f3,axiom,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
& ( X1 @ X2 ) ) )
= mand ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def) ).
thf(f5,axiom,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) )
= mimplies ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def) ).
thf(f7,axiom,
( mbox
= ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
! [X3: mworld] :
( ( mrel @ X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).
thf(f8,axiom,
( ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
? [X3: mworld] :
( ( mrel @ X0 @ X2 @ X3 )
& ( X1 @ X3 ) ) )
= mdia ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia_def) ).
thf(f10,axiom,
mlocal @ ( mimplies @ ( mbox @ '#pour_a' @ ( mbox @ '#pour_b' @ ( mnot @ acid ) ) ) @ ( mbox @ '#make_c' @ ( mnot @ acid ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pour_ab_make_axiom_2) ).
thf(f13,axiom,
mlocal @ ( mbox @ '#pour_a' @ ( mnot @ acid ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pour_a_acid) ).
thf(f14,axiom,
mlocal @ ( mdia @ '#make_c' @ acid ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',make_c_acid) ).
thf(f15,conjecture,
mlocal @ ( mand @ ( mdia @ '#pour_a' @ ( mnot @ acid ) ) @ ( mdia @ '#pour_a' @ ( mdia @ '#pour_b' @ acid ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(f16,negated_conjecture,
~ ( mlocal @ ( mand @ ( mdia @ '#pour_a' @ ( mnot @ acid ) ) @ ( mdia @ '#pour_a' @ ( mdia @ '#pour_b' @ acid ) ) ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
thf(f17,plain,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
& ( X1 @ X2 ) ) )
= mand ),
inference(rectify,[],[f3]) ).
thf(f18,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f17]) ).
thf(f19,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f22,plain,
~ ( mlocal @ ( mand @ ( mdia @ '#pour_a' @ ( mnot @ acid ) ) @ ( mdia @ '#pour_a' @ ( mdia @ '#pour_b' @ acid ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f23,plain,
( ( mlocal @ ( mand @ ( mdia @ '#pour_a' @ ( mnot @ acid ) ) @ ( mdia @ '#pour_a' @ ( mdia @ '#pour_b' @ acid ) ) ) )
!= $true ),
inference(fool_elimination,[],[f22]) ).
thf(f24,plain,
mlocal @ ( mbox @ '#pour_a' @ ( mnot @ acid ) ),
inference(rectify,[],[f13]) ).
thf(f25,plain,
( ( mlocal @ ( mbox @ '#pour_a' @ ( mnot @ acid ) ) )
= $true ),
inference(fool_elimination,[],[f24]) ).
thf(f30,plain,
mlocal @ ( mdia @ '#make_c' @ acid ),
inference(rectify,[],[f14]) ).
thf(f31,plain,
( ( mlocal @ ( mdia @ '#make_c' @ acid ) )
= $true ),
inference(fool_elimination,[],[f30]) ).
thf(f34,plain,
( mnot
= ( ^ [X0: mworld > $o,X1: mworld] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f35,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f34]) ).
thf(f36,plain,
( ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
? [X3: mworld] :
( ( mrel @ X0 @ X2 @ X3 )
& ( X1 @ X3 ) ) )
= mdia ),
inference(rectify,[],[f8]) ).
thf(f37,plain,
( mdia
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( Y1 @ Y3 )
& ( mrel @ Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f36]) ).
thf(f40,plain,
mlocal @ ( mimplies @ ( mbox @ '#pour_a' @ ( mbox @ '#pour_b' @ ( mnot @ acid ) ) ) @ ( mbox @ '#make_c' @ ( mnot @ acid ) ) ),
inference(rectify,[],[f10]) ).
thf(f41,plain,
( ( mlocal @ ( mimplies @ ( mbox @ '#pour_a' @ ( mbox @ '#pour_b' @ ( mnot @ acid ) ) ) @ ( mbox @ '#make_c' @ ( mnot @ acid ) ) ) )
= $true ),
inference(fool_elimination,[],[f40]) ).
thf(f42,plain,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) )
= mimplies ),
inference(rectify,[],[f5]) ).
thf(f43,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f42]) ).
thf(f44,plain,
( mbox
= ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
! [X3: mworld] :
( ( mrel @ X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f45,plain,
( mbox
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f44]) ).
thf(f46,plain,
( ( mlocal @ ( mand @ ( mdia @ '#pour_a' @ ( mnot @ acid ) ) @ ( mdia @ '#pour_a' @ ( mdia @ '#pour_b' @ acid ) ) ) )
!= $true ),
inference(flattening,[],[f23]) ).
thf(f50,plain,
( ( mlocal @ ( mdia @ '#make_c' @ acid ) )
= $true ),
inference(cnf_transformation,[],[f31]) ).
thf(f52,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f53,plain,
( ( mlocal @ ( mbox @ '#pour_a' @ ( mnot @ acid ) ) )
= $true ),
inference(cnf_transformation,[],[f25]) ).
thf(f54,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f43]) ).
thf(f55,plain,
( ( mlocal @ ( mand @ ( mdia @ '#pour_a' @ ( mnot @ acid ) ) @ ( mdia @ '#pour_a' @ ( mdia @ '#pour_b' @ acid ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f46]) ).
thf(f56,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f57,plain,
( mbox
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f45]) ).
thf(f58,plain,
( mdia
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( Y1 @ Y3 )
& ( mrel @ Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f37]) ).
thf(f60,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f35]) ).
thf(f61,plain,
( ( mlocal @ ( mimplies @ ( mbox @ '#pour_a' @ ( mbox @ '#pour_b' @ ( mnot @ acid ) ) ) @ ( mbox @ '#make_c' @ ( mnot @ acid ) ) ) )
= $true ),
inference(cnf_transformation,[],[f41]) ).
thf(f66,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( Y1 @ Y3 )
& ( mrel @ Y0 @ Y2 @ Y3 ) ) )
@ '#make_c'
@ acid ) )
= $true ),
inference(definition_unfolding,[],[f50,f56,f58]) ).
thf(f67,plain,
( $true
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#pour_a'
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ acid ) ) ) ),
inference(definition_unfolding,[],[f53,f56,f57,f60]) ).
thf(f68,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( Y1 @ Y3 )
& ( mrel @ Y0 @ Y2 @ Y3 ) ) )
@ '#pour_a'
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ acid ) )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( Y1 @ Y3 )
& ( mrel @ Y0 @ Y2 @ Y3 ) ) )
@ '#pour_a'
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( Y1 @ Y3 )
& ( mrel @ Y0 @ Y2 @ Y3 ) ) )
@ '#pour_b'
@ acid ) ) ) )
!= $true ),
inference(definition_unfolding,[],[f55,f56,f52,f58,f60,f58,f58]) ).
thf(f70,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#pour_a'
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#pour_b'
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ acid ) ) )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#make_c'
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ acid ) ) ) )
= $true ),
inference(definition_unfolding,[],[f61,f56,f54,f57,f57,f60,f57,f60]) ).
thf(f71,definition,
( sF0
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( Y1 @ Y3 )
& ( mrel @ Y0 @ Y2 @ Y3 ) ) )
@ '#pour_a'
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ acid ) )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( Y1 @ Y3 )
& ( mrel @ Y0 @ Y2 @ Y3 ) ) )
@ '#pour_a'
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( Y1 @ Y3 )
& ( mrel @ Y0 @ Y2 @ Y3 ) ) )
@ '#pour_b'
@ acid ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
thf(f72,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( Y1 @ Y3 )
& ( mrel @ Y0 @ Y2 @ Y3 ) ) )
@ '#pour_a'
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ acid ) )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( Y1 @ Y3 )
& ( mrel @ Y0 @ Y2 @ Y3 ) ) )
@ '#pour_a'
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( Y1 @ Y3 )
& ( mrel @ Y0 @ Y2 @ Y3 ) ) )
@ '#pour_b'
@ acid ) ) ) )
= sF0 ),
inference(reorient_equations,[],[f71]) ).
thf(f73,plain,
$true != sF0,
inference(definition_folding,[],[f68,f72]) ).
thf(f87,plain,
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#pour_a' @ mactual @ Y0 )
=> ~ ( acid @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f67]) ).
thf(f88,plain,
! [X1: mworld] :
( ( ^ [Y0: mworld] :
( ( mrel @ '#pour_a' @ mactual @ Y0 )
=> ~ ( acid @ Y0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f87]) ).
thf(f89,plain,
! [X1: mworld] :
( $true
= ( ( mrel @ '#pour_a' @ mactual @ X1 )
=> ~ ( acid @ X1 ) ) ),
inference(beta-eta_normalization,[],[f88]) ).
thf(f90,plain,
! [X1: mworld] :
( ( ( ~ ( acid @ X1 ) )
= $true )
| ( ( mrel @ '#pour_a' @ mactual @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f89]) ).
thf(f91,plain,
! [X1: mworld] :
( ( ( mrel @ '#pour_a' @ mactual @ X1 )
= $false )
| ( $false
= ( acid @ X1 ) ) ),
inference(not_proxy_clausification,[],[f90]) ).
thf(f106,plain,
( ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( acid @ Y0 )
& ( mrel @ '#make_c' @ mactual @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f66]) ).
thf(f107,plain,
( ( ^ [Y0: mworld] :
( ( acid @ Y0 )
& ( mrel @ '#make_c' @ mactual @ Y0 ) )
@ sK5 )
= $true ),
inference(sigma_proxy_clausification,[],[f106]) ).
thf(f108,plain,
( $true
= ( ( acid @ sK5 )
& ( mrel @ '#make_c' @ mactual @ sK5 ) ) ),
inference(beta-eta_normalization,[],[f107]) ).
thf(f109,plain,
( ( mrel @ '#make_c' @ mactual @ sK5 )
= $true ),
inference(and_proxy_clausification,[],[f108]) ).
thf(f110,plain,
( $true
= ( acid @ sK5 ) ),
inference(and_proxy_clausification,[],[f108]) ).
thf(f123,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#pour_a' @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#pour_b' @ Y0 @ Y1 )
=> ~ ( acid @ Y1 ) ) ) ) )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#make_c' @ mactual @ Y0 )
=> ~ ( acid @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f70]) ).
thf(f124,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#pour_a' @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#pour_b' @ Y0 @ Y1 )
=> ~ ( acid @ Y1 ) ) ) ) )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#make_c' @ mactual @ Y0 )
=> ~ ( acid @ Y0 ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f123]) ).
thf(f125,plain,
( ( $false
= ( ^ [Y0: mworld] :
( ( mrel @ '#pour_a' @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#pour_b' @ Y0 @ Y1 )
=> ~ ( acid @ Y1 ) ) ) )
@ sK8 ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#make_c' @ mactual @ Y0 )
=> ~ ( acid @ Y0 ) ) )
= $true ) ),
inference(sigma_proxy_clausification,[],[f124]) ).
thf(f126,plain,
! [X1: mworld] :
( ( $false
= ( ^ [Y0: mworld] :
( ( mrel @ '#pour_a' @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#pour_b' @ Y0 @ Y1 )
=> ~ ( acid @ Y1 ) ) ) )
@ sK8 ) )
| ( $true
= ( ^ [Y0: mworld] :
( ( mrel @ '#make_c' @ mactual @ Y0 )
=> ~ ( acid @ Y0 ) )
@ X1 ) ) ),
inference(pi_proxy_clausification,[],[f125]) ).
thf(f127,plain,
! [X1: mworld] :
( ( ( ( mrel @ '#make_c' @ mactual @ X1 )
=> ~ ( acid @ X1 ) )
= $true )
| ( $false
= ( ( mrel @ '#pour_a' @ mactual @ sK8 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#pour_b' @ sK8 @ Y0 )
=> ~ ( acid @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f126]) ).
thf(f128,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ '#make_c' @ mactual @ X1 ) )
| ( $false
= ( ( mrel @ '#pour_a' @ mactual @ sK8 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#pour_b' @ sK8 @ Y0 )
=> ~ ( acid @ Y0 ) ) ) ) )
| ( ( ~ ( acid @ X1 ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f127]) ).
thf(f129,plain,
! [X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#pour_b' @ sK8 @ Y0 )
=> ~ ( acid @ Y0 ) ) )
= $false )
| ( ( ~ ( acid @ X1 ) )
= $true )
| ( $false
= ( mrel @ '#make_c' @ mactual @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f128]) ).
thf(f130,plain,
! [X1: mworld] :
( ( ( ~ ( acid @ X1 ) )
= $true )
| ( $false
= ( mrel @ '#make_c' @ mactual @ X1 ) )
| ( ( mrel @ '#pour_a' @ mactual @ sK8 )
= $true ) ),
inference(imp_proxy_clausification,[],[f128]) ).
thf(f131,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ '#make_c' @ mactual @ X1 ) )
| ( $false
= ( acid @ X1 ) )
| ( ( mrel @ '#pour_a' @ mactual @ sK8 )
= $true ) ),
inference(not_proxy_clausification,[],[f130]) ).
thf(f132,plain,
! [X1: mworld] :
( ( ( ~ ( acid @ X1 ) )
= $true )
| ( $false
= ( mrel @ '#make_c' @ mactual @ X1 ) )
| ( ( ^ [Y0: mworld] :
( ( mrel @ '#pour_b' @ sK8 @ Y0 )
=> ~ ( acid @ Y0 ) )
@ sK9 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f129]) ).
thf(f133,plain,
! [X1: mworld] :
( ( ( ^ [Y0: mworld] :
( ( mrel @ '#pour_b' @ sK8 @ Y0 )
=> ~ ( acid @ Y0 ) )
@ sK9 )
= $false )
| ( $false
= ( mrel @ '#make_c' @ mactual @ X1 ) )
| ( $false
= ( acid @ X1 ) ) ),
inference(not_proxy_clausification,[],[f132]) ).
thf(f134,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ '#make_c' @ mactual @ X1 ) )
| ( $false
= ( acid @ X1 ) )
| ( ( ( mrel @ '#pour_b' @ sK8 @ sK9 )
=> ~ ( acid @ sK9 ) )
= $false ) ),
inference(beta-eta_normalization,[],[f133]) ).
thf(f135,plain,
! [X1: mworld] :
( ( $false
= ( acid @ X1 ) )
| ( $false
= ( mrel @ '#make_c' @ mactual @ X1 ) )
| ( ( ~ ( acid @ sK9 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f134]) ).
thf(f136,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ '#make_c' @ mactual @ X1 ) )
| ( ( mrel @ '#pour_b' @ sK8 @ sK9 )
= $true )
| ( $false
= ( acid @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f134]) ).
thf(f137,plain,
! [X1: mworld] :
( ( $false
= ( acid @ X1 ) )
| ( $false
= ( mrel @ '#make_c' @ mactual @ X1 ) )
| ( ( acid @ sK9 )
= $true ) ),
inference(not_proxy_clausification,[],[f135]) ).
thf(f139,plain,
( ( $true = sF0 )
| ( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( Y1 @ Y3 )
& ( mrel @ Y0 @ Y2 @ Y3 ) ) )
@ '#pour_a'
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ acid ) )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( Y1 @ Y3 )
& ( mrel @ Y0 @ Y2 @ Y3 ) ) )
@ '#pour_a'
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( Y1 @ Y3 )
& ( mrel @ Y0 @ Y2 @ Y3 ) ) )
@ '#pour_b'
@ acid ) ) ) )
= $false ) ),
inference(iff_proxy_clausification,[],[f72]) ).
thf(f140,plain,
( ( $true = sF0 )
| ( $false
= ( ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( acid @ Y1 )
& ( mrel @ '#pour_b' @ Y0 @ Y1 ) ) )
& ( mrel @ '#pour_a' @ mactual @ Y0 ) ) )
& ( ?? @ mworld
@ ^ [Y0: mworld] :
( ~ ( acid @ Y0 )
& ( mrel @ '#pour_a' @ mactual @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f139]) ).
thf(f141,plain,
( ( ( ?? @ mworld
@ ^ [Y0: mworld] :
( ~ ( acid @ Y0 )
& ( mrel @ '#pour_a' @ mactual @ Y0 ) ) )
= $false )
| ( $true = sF0 )
| ( $false
= ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( acid @ Y1 )
& ( mrel @ '#pour_b' @ Y0 @ Y1 ) ) )
& ( mrel @ '#pour_a' @ mactual @ Y0 ) ) ) ) ),
inference(and_proxy_clausification,[],[f140]) ).
thf(f142,plain,
! [X1: mworld] :
( ( $true = sF0 )
| ( $false
= ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( acid @ Y1 )
& ( mrel @ '#pour_b' @ Y0 @ Y1 ) ) )
& ( mrel @ '#pour_a' @ mactual @ Y0 ) ) ) )
| ( $false
= ( ^ [Y0: mworld] :
( ~ ( acid @ Y0 )
& ( mrel @ '#pour_a' @ mactual @ Y0 ) )
@ X1 ) ) ),
inference(pi_proxy_clausification,[],[f141]) ).
thf(f143,plain,
! [X2: mworld,X1: mworld] :
( ( ( ^ [Y0: mworld] :
( ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( acid @ Y1 )
& ( mrel @ '#pour_b' @ Y0 @ Y1 ) ) )
& ( mrel @ '#pour_a' @ mactual @ Y0 ) )
@ X2 )
= $false )
| ( $false
= ( ^ [Y0: mworld] :
( ~ ( acid @ Y0 )
& ( mrel @ '#pour_a' @ mactual @ Y0 ) )
@ X1 ) )
| ( $true = sF0 ) ),
inference(pi_proxy_clausification,[],[f142]) ).
thf(f144,plain,
! [X2: mworld,X1: mworld] :
( ( $false
= ( ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( acid @ Y0 )
& ( mrel @ '#pour_b' @ X2 @ Y0 ) ) )
& ( mrel @ '#pour_a' @ mactual @ X2 ) ) )
| ( ( ~ ( acid @ X1 )
& ( mrel @ '#pour_a' @ mactual @ X1 ) )
= $false )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f143]) ).
thf(f145,plain,
! [X2: mworld,X1: mworld] :
( ( ( ~ ( acid @ X1 )
& ( mrel @ '#pour_a' @ mactual @ X1 ) )
= $false )
| ( ( mrel @ '#pour_a' @ mactual @ X2 )
= $false )
| ( $true = sF0 )
| ( $false
= ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( acid @ Y0 )
& ( mrel @ '#pour_b' @ X2 @ Y0 ) ) ) ) ),
inference(and_proxy_clausification,[],[f144]) ).
thf(f146,plain,
! [X2: mworld,X1: mworld] :
( ( ( mrel @ '#pour_a' @ mactual @ X2 )
= $false )
| ( ( mrel @ '#pour_a' @ mactual @ X1 )
= $false )
| ( $true = sF0 )
| ( ( ~ ( acid @ X1 ) )
= $false )
| ( $false
= ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( acid @ Y0 )
& ( mrel @ '#pour_b' @ X2 @ Y0 ) ) ) ) ),
inference(and_proxy_clausification,[],[f145]) ).
thf(f147,plain,
! [X2: mworld,X1: mworld] :
( ( ( mrel @ '#pour_a' @ mactual @ X1 )
= $false )
| ( $false
= ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( acid @ Y0 )
& ( mrel @ '#pour_b' @ X2 @ Y0 ) ) ) )
| ( $true
= ( acid @ X1 ) )
| ( $true = sF0 )
| ( ( mrel @ '#pour_a' @ mactual @ X2 )
= $false ) ),
inference(not_proxy_clausification,[],[f146]) ).
thf(f148,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( mrel @ '#pour_a' @ mactual @ X2 )
= $false )
| ( $false
= ( ^ [Y0: mworld] :
( ( acid @ Y0 )
& ( mrel @ '#pour_b' @ X2 @ Y0 ) )
@ X3 ) )
| ( $true = sF0 )
| ( $true
= ( acid @ X1 ) )
| ( ( mrel @ '#pour_a' @ mactual @ X1 )
= $false ) ),
inference(pi_proxy_clausification,[],[f147]) ).
thf(f149,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $true
= ( acid @ X1 ) )
| ( ( mrel @ '#pour_a' @ mactual @ X2 )
= $false )
| ( $true = sF0 )
| ( $false
= ( ( acid @ X3 )
& ( mrel @ '#pour_b' @ X2 @ X3 ) ) )
| ( ( mrel @ '#pour_a' @ mactual @ X1 )
= $false ) ),
inference(beta-eta_normalization,[],[f148]) ).
thf(f150,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( mrel @ '#pour_a' @ mactual @ X1 )
= $false )
| ( $true = sF0 )
| ( $true
= ( acid @ X1 ) )
| ( ( mrel @ '#pour_a' @ mactual @ X2 )
= $false )
| ( ( mrel @ '#pour_b' @ X2 @ X3 )
= $false )
| ( ( acid @ X3 )
= $false ) ),
inference(and_proxy_clausification,[],[f149]) ).
thf(f186,definition,
( spl13_5
<=> ! [X1: mworld] :
( ( $false
= ( acid @ X1 ) )
| ( $false
= ( mrel @ '#make_c' @ mactual @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl13_5])],[avatar_definition]) ).
thf(f187,plain,
( ! [X1: mworld] :
( ( $false
= ( mrel @ '#make_c' @ mactual @ X1 ) )
| ( $false
= ( acid @ X1 ) ) )
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f186]) ).
thf(f219,definition,
( spl13_12
<=> ( ( mrel @ '#pour_a' @ mactual @ sK8 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl13_12])],[avatar_definition]) ).
thf(f221,plain,
( ( ( mrel @ '#pour_a' @ mactual @ sK8 )
= $true )
| ~ spl13_12 ),
inference(avatar_component_clause,[],[f219]) ).
thf(f222,plain,
( spl13_12
| spl13_5 ),
inference(avatar_split_clause,[],[f131,f186,f219]) ).
thf(f224,definition,
( spl13_13
<=> ( ( mrel @ '#pour_b' @ sK8 @ sK9 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl13_13])],[avatar_definition]) ).
thf(f226,plain,
( ( ( mrel @ '#pour_b' @ sK8 @ sK9 )
= $true )
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f224]) ).
thf(f227,plain,
( spl13_13
| spl13_5 ),
inference(avatar_split_clause,[],[f136,f186,f224]) ).
thf(f229,definition,
( spl13_14
<=> ( ( acid @ sK9 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl13_14])],[avatar_definition]) ).
thf(f231,plain,
( ( ( acid @ sK9 )
= $true )
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f229]) ).
thf(f232,plain,
( spl13_14
| spl13_5 ),
inference(avatar_split_clause,[],[f137,f186,f229]) ).
thf(f234,definition,
( spl13_15
<=> ! [X2: mworld,X3: mworld] :
( ( ( mrel @ '#pour_a' @ mactual @ X2 )
= $false )
| ( ( acid @ X3 )
= $false )
| ( ( mrel @ '#pour_b' @ X2 @ X3 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl13_15])],[avatar_definition]) ).
thf(f235,plain,
( ! [X2: mworld,X3: mworld] :
( ( ( mrel @ '#pour_a' @ mactual @ X2 )
= $false )
| ( ( mrel @ '#pour_b' @ X2 @ X3 )
= $false )
| ( ( acid @ X3 )
= $false ) )
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f234]) ).
thf(f237,definition,
( spl13_16
<=> ! [X1: mworld] :
( ( ( mrel @ '#pour_a' @ mactual @ X1 )
= $false )
| ( $true
= ( acid @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl13_16])],[avatar_definition]) ).
thf(f238,plain,
( ! [X1: mworld] :
( ( ( mrel @ '#pour_a' @ mactual @ X1 )
= $false )
| ( $true
= ( acid @ X1 ) ) )
| ~ spl13_16 ),
inference(avatar_component_clause,[],[f237]) ).
thf(f240,definition,
( spl13_17
<=> ( $true = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl13_17])],[avatar_definition]) ).
thf(f243,plain,
( spl13_15
| spl13_16
| spl13_17 ),
inference(avatar_split_clause,[],[f150,f240,f237,f234]) ).
thf(f273,plain,
~ spl13_17,
inference(avatar_split_clause,[],[f73,f240]) ).
thf(f294,plain,
( ( $false = $true )
| ( $false
= ( acid @ sK5 ) )
| ~ spl13_5 ),
inference(constrained_superposition,[],[f187,f109]) ).
thf(f298,plain,
( ( $false
= ( acid @ sK5 ) )
| ~ spl13_5 ),
inference(trivial_inequality_removal,[],[f294]) ).
thf(f303,plain,
( ( $false = $true )
| ~ spl13_5 ),
inference(forward_demodulation,[],[f298,f110]) ).
thf(f304,plain,
( $false
| ~ spl13_5 ),
inference(trivial_inequality_removal,[],[f303]) ).
thf(f305,plain,
~ spl13_5,
inference(avatar_contradiction_clause,[],[f304]) ).
thf(f307,plain,
( ( ( acid @ sK8 )
= $false )
| ( $false = $true )
| ~ spl13_12 ),
inference(constrained_superposition,[],[f91,f221]) ).
thf(f308,plain,
( ( ( acid @ sK8 )
= $false )
| ~ spl13_12 ),
inference(trivial_inequality_removal,[],[f307]) ).
thf(f312,plain,
( ! [X0: mworld] :
( ( ( acid @ X0 )
= $false )
| ( $false = $true )
| ( ( mrel @ '#pour_b' @ sK8 @ X0 )
= $false ) )
| ~ spl13_12
| ~ spl13_15 ),
inference(constrained_superposition,[],[f235,f221]) ).
thf(f315,plain,
( ! [X0: mworld] :
( ( ( mrel @ '#pour_b' @ sK8 @ X0 )
= $false )
| ( ( acid @ X0 )
= $false ) )
| ~ spl13_12
| ~ spl13_15 ),
inference(trivial_inequality_removal,[],[f312]) ).
thf(f318,plain,
( ( $false = $true )
| ( ( acid @ sK9 )
= $false )
| ~ spl13_12
| ~ spl13_13
| ~ spl13_15 ),
inference(constrained_superposition,[],[f315,f226]) ).
thf(f323,plain,
( ( ( acid @ sK9 )
= $false )
| ~ spl13_12
| ~ spl13_13
| ~ spl13_15 ),
inference(trivial_inequality_removal,[],[f318]) ).
thf(f327,plain,
( ( $false = $true )
| ~ spl13_12
| ~ spl13_13
| ~ spl13_14
| ~ spl13_15 ),
inference(forward_demodulation,[],[f323,f231]) ).
thf(f328,plain,
( $false
| ~ spl13_12
| ~ spl13_13
| ~ spl13_14
| ~ spl13_15 ),
inference(trivial_inequality_removal,[],[f327]) ).
thf(f329,plain,
( ~ spl13_12
| ~ spl13_13
| ~ spl13_14
| ~ spl13_15 ),
inference(avatar_contradiction_clause,[],[f328]) ).
thf(f332,plain,
( ( $false = $true )
| ( ( acid @ sK8 )
= $true )
| ~ spl13_12
| ~ spl13_16 ),
inference(constrained_superposition,[],[f221,f238]) ).
thf(f335,plain,
( ( ( acid @ sK8 )
= $true )
| ~ spl13_12
| ~ spl13_16 ),
inference(trivial_inequality_removal,[],[f332]) ).
thf(f339,plain,
( ( $false = $true )
| ~ spl13_12
| ~ spl13_16 ),
inference(forward_demodulation,[],[f335,f308]) ).
thf(f340,plain,
( $false
| ~ spl13_12
| ~ spl13_16 ),
inference(trivial_inequality_removal,[],[f339]) ).
thf(f341,plain,
( ~ spl13_12
| ~ spl13_16 ),
inference(avatar_contradiction_clause,[],[f340]) ).
cnf(s10,plain,
( spl13_5
| spl13_12 ),
inference(sat_conversion,[],[f222]) ).
cnf(s11,plain,
( spl13_5
| spl13_13 ),
inference(sat_conversion,[],[f227]) ).
cnf(s12,plain,
( spl13_5
| spl13_14 ),
inference(sat_conversion,[],[f232]) ).
cnf(s13,plain,
( spl13_15
| spl13_16
| spl13_17 ),
inference(sat_conversion,[],[f243]) ).
cnf(s19,plain,
~ spl13_17,
inference(sat_conversion,[],[f273]) ).
cnf(s21,plain,
~ spl13_5,
inference(sat_conversion,[],[f305]) ).
cnf(s23,plain,
( ~ spl13_12
| ~ spl13_13
| ~ spl13_14
| ~ spl13_15 ),
inference(sat_conversion,[],[f329]) ).
cnf(s25,plain,
( ~ spl13_12
| ~ spl13_16 ),
inference(sat_conversion,[],[f341]) ).
cnf(s26,plain,
( spl13_15
| spl13_16 ),
inference(rat,[],[s13,s19]) ).
cnf(s27,plain,
spl13_14,
inference(rat,[],[s12,s21]) ).
cnf(s28,plain,
spl13_13,
inference(rat,[],[s11,s21]) ).
cnf(s29,plain,
spl13_12,
inference(rat,[],[s10,s21]) ).
cnf(s30,plain,
~ spl13_16,
inference(rat,[],[s25,s29]) ).
cnf(s31,plain,
~ spl13_15,
inference(rat,[],[s23,s28,s27,s29]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s26,s30,s31]) ).
thf(f342,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ149^13 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.24 % Computer : n002.cluster.edu
% 0.11/0.24 % Model : x86_64 x86_64
% 0.11/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.24 % Memory : 8046.5625MB
% 0.11/0.24 % OS : Linux 6.8.0-71-generic
% 0.11/0.24 % CPULimit : 300
% 0.11/0.24 % WCLimit : 300
% 0.11/0.24 % DateTime : Tue Sep 29 13:30:23 UTC 2026
% 0.11/0.24 % CPUTime :
% 0.11/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.28 Running higher-order theorem proving
% 0.24/0.29 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/0.33 % (1270605)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.24/0.33 % (1270617)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.24/0.33 % (1270617)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.24/0.33 % (1270617)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=4134609640:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.24/0.33 % (1270617) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1270605-1270617"...
% 0.24/0.33 % (1270611)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1706865132:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.24/0.33 % (1270617)...printing done.
% 0.24/0.33 % (1270612)lrs+10_16_si=on:nwc=1.5:random_seed=1417831593:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.24/0.33 % (1270617)Refutation found. Thanks to Tanya!
% 0.24/0.33 % SZS status Theorem for theBenchmark
% 0.24/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.34 % (1270617)------------------------------
% 0.24/0.34 % (1270617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.34 % (1270617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.34 % (1270617)CaDiCaL version: 2.1.3
% 0.24/0.34 % (1270617)Termination reason: Refutation
% 0.24/0.34 % (1270617)Time elapsed: 0.009 s
% 0.24/0.34 % (1270617)Peak memory usage: 13 MB
% 0.24/0.34 % (1270617)Instructions burned: 21 (million)
% 0.24/0.34 % (1270605)Success in time 0.033 s
% 0.24/0.34 % Vampire exiting
%------------------------------------------------------------------------------