%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV028^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 08:37:30 AM UTC 2026
% Result : Theorem 0.25s 0.36s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 5
% Syntax : Number of formulae : 88 ( 32 unt; 0 typ; 4 def)
% Number of atoms : 666 ( 127 equ; 0 cnn)
% Maximal formula atoms : 10 ( 7 avg)
% Number of connectives : 1456 ( 58 ~; 52 |; 124 &; 913 @)
% ( 13 <=>; 106 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 58 ( 58 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 24 usr; 14 con; 0-4 aty)
% ( 150 !!; 40 ??; 0 @@+; 0 @@-)
% Number of variables : 268 ( 0 sgn 75 !; 15 ?; 268 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cQ: a > a > $o ).
thf(func_def_2,type,
vNOT: $o > $o ).
thf(func_def_3,type,
vIMP: $o > $o > $o ).
thf(func_def_4,type,
vAND: $o > $o > $o ).
thf(func_def_5,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_6,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_7,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_8,type,
vIFF: $o > $o > $o ).
thf(func_def_9,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_11,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_12,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_16,type,
sK1: a ).
thf(func_def_17,type,
sK2: a ).
thf(func_def_18,type,
sK3: a ).
thf(func_def_19,type,
sK4: a > a > $o ).
thf(func_def_20,type,
sK5: a ).
thf(func_def_21,type,
sK6: a ).
thf(func_def_22,type,
sK7: a ).
thf(f1,conjecture,
( ( ! [X2: a] :
? [X0: a > $o] :
( ! [X4: a] :
( ( X0 @ X4 )
=> ! [X3: a] :
( ( cQ @ X4 @ X3 )
<=> ( X0 @ X3 ) ) )
& ( X0 @ X2 )
& ? [X1: a] : ( X0 @ X1 )
& ! [X5: a > $o] :
( ( ? [X1: a] : ( X5 @ X1 )
& ! [X4: a] :
( ( X5 @ X4 )
=> ! [X3: a] :
( ( X5 @ X3 )
<=> ( cQ @ X4 @ X3 ) ) )
& ( X5 @ X2 ) )
=> ( X5 = X0 ) ) )
& ! [X0: a > $o] :
( ( ? [X1: a] : ( X0 @ X1 )
& ! [X2: a] :
( ( X0 @ X2 )
=> ! [X3: a] :
( ( cQ @ X2 @ X3 )
<=> ( X0 @ X3 ) ) ) )
=> ? [X1: a] : ( X0 @ X1 ) ) )
=> ( ! [X3: a,X1: a,X2: a] :
( ( ( cQ @ X3 @ X1 )
& ( cQ @ X2 @ X3 ) )
=> ( cQ @ X2 @ X1 ) )
& ! [X2: a] : ( cQ @ X2 @ X2 )
& ! [X2: a,X3: a] :
( ( cQ @ X2 @ X3 )
=> ( cQ @ X3 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM558_pme) ).
thf(f2,negated_conjecture,
~ ( ( ! [X2: a] :
? [X0: a > $o] :
( ! [X4: a] :
( ( X0 @ X4 )
=> ! [X3: a] :
( ( cQ @ X4 @ X3 )
<=> ( X0 @ X3 ) ) )
& ( X0 @ X2 )
& ? [X1: a] : ( X0 @ X1 )
& ! [X5: a > $o] :
( ( ? [X1: a] : ( X5 @ X1 )
& ! [X4: a] :
( ( X5 @ X4 )
=> ! [X3: a] :
( ( X5 @ X3 )
<=> ( cQ @ X4 @ X3 ) ) )
& ( X5 @ X2 ) )
=> ( X5 = X0 ) ) )
& ! [X0: a > $o] :
( ( ? [X1: a] : ( X0 @ X1 )
& ! [X2: a] :
( ( X0 @ X2 )
=> ! [X3: a] :
( ( cQ @ X2 @ X3 )
<=> ( X0 @ X3 ) ) ) )
=> ? [X1: a] : ( X0 @ X1 ) ) )
=> ( ! [X3: a,X1: a,X2: a] :
( ( ( cQ @ X3 @ X1 )
& ( cQ @ X2 @ X3 ) )
=> ( cQ @ X2 @ X1 ) )
& ! [X2: a] : ( cQ @ X2 @ X2 )
& ! [X2: a,X3: a] :
( ( cQ @ X2 @ X3 )
=> ( cQ @ X3 @ X2 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( ! [X0: a] :
? [X1: a > $o] :
( ! [X2: a] :
( ( X1 @ X2 )
=> ! [X3: a] :
( ( cQ @ X2 @ X3 )
<=> ( X1 @ X3 ) ) )
& ( X1 @ X0 )
& ? [X4: a] : ( X1 @ X4 )
& ! [X5: a > $o] :
( ( ? [X6: a] : ( X5 @ X6 )
& ! [X7: a] :
( ( X5 @ X7 )
=> ! [X8: a] :
( ( X5 @ X8 )
<=> ( cQ @ X7 @ X8 ) ) )
& ( X5 @ X0 ) )
=> ( X1 = X5 ) ) )
& ! [X9: a > $o] :
( ( ? [X10: a] : ( X9 @ X10 )
& ! [X11: a] :
( ( X9 @ X11 )
=> ! [X12: a] :
( ( cQ @ X11 @ X12 )
<=> ( X9 @ X12 ) ) ) )
=> ? [X13: a] : ( X9 @ X13 ) ) )
=> ( ! [X14: a,X15: a,X16: a] :
( ( ( cQ @ X14 @ X15 )
& ( cQ @ X16 @ X14 ) )
=> ( cQ @ X16 @ X15 ) )
& ! [X17: a] : ( cQ @ X17 @ X17 )
& ! [X18: a,X19: a] :
( ( cQ @ X18 @ X19 )
=> ( cQ @ X19 @ X18 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
( ( ~ ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cQ @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( ?? @ a
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( ?? @ a
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( cQ @ Y3 @ Y4 ) ) ) ) )
& ( ?? @ a
@ ^ [Y3: a] : ( Y2 @ Y3 ) ) )
=> ( Y1 = Y2 ) ) )
& ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) )
& ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( cQ @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y1 @ Y0 )
=> ( cQ @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y0 @ Y2 )
& ( cQ @ Y2 @ Y1 ) )
=> ( cQ @ Y0 @ Y1 ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( ~ ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cQ @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( ?? @ a
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( ?? @ a
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( cQ @ Y3 @ Y4 ) ) ) ) )
& ( ?? @ a
@ ^ [Y3: a] : ( Y2 @ Y3 ) ) )
=> ( Y1 = Y2 ) ) )
& ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) )
& ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( cQ @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y1 @ Y0 )
=> ( cQ @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y0 @ Y2 )
& ( cQ @ Y2 @ Y1 ) )
=> ( cQ @ Y0 @ Y1 ) ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f4]) ).
thf(f8,plain,
( $true
= ( ~ ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cQ @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 ) )
=> ( ?? @ a @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( cQ @ Y3 @ Y4 ) ) ) ) )
& ( ?? @ a @ Y2 ) )
=> ( Y1 = Y2 ) ) )
& ( ?? @ a @ Y1 )
& ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( cQ @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y1 @ Y0 )
=> ( cQ @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y0 @ Y2 )
& ( cQ @ Y2 @ Y1 ) )
=> ( cQ @ Y0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f5]) ).
thf(f9,plain,
( ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cQ @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 ) )
=> ( ?? @ a @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( cQ @ Y3 @ Y4 ) ) ) ) )
& ( ?? @ a @ Y2 ) )
=> ( Y1 = Y2 ) ) )
& ( ?? @ a @ Y1 )
& ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( cQ @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y1 @ Y0 )
=> ( cQ @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y0 @ Y2 )
& ( cQ @ Y2 @ Y1 ) )
=> ( cQ @ Y0 @ Y1 ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f8]) ).
thf(f10,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y1 @ Y0 )
=> ( cQ @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y0 @ Y2 )
& ( cQ @ Y2 @ Y1 ) )
=> ( cQ @ Y0 @ Y1 ) ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f9]) ).
thf(f11,plain,
( $true
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cQ @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 ) )
=> ( ?? @ a @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( cQ @ Y3 @ Y4 ) ) ) ) )
& ( ?? @ a @ Y2 ) )
=> ( Y1 = Y2 ) ) )
& ( ?? @ a @ Y1 )
& ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( cQ @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f9]) ).
thf(f14,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y1 @ Y0 )
=> ( cQ @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y0 @ Y2 )
& ( cQ @ Y2 @ Y1 ) )
=> ( cQ @ Y0 @ Y1 ) ) ) ) )
= $false ) ),
inference(and_proxy_clausification,[],[f10]) ).
thf(f16,definition,
( spl0_1
<=> ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y1 @ Y0 )
=> ( cQ @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f18,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y1 @ Y0 )
=> ( cQ @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) )
= $false )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f16]) ).
thf(f20,definition,
( spl0_2
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y0 @ Y2 )
& ( cQ @ Y2 @ Y1 ) )
=> ( cQ @ Y0 @ Y1 ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f22,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y0 @ Y2 )
& ( cQ @ Y2 @ Y1 ) )
=> ( cQ @ Y0 @ Y1 ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f20]) ).
thf(f23,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f20,f16]) ).
thf(f24,plain,
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y0 @ Y2 )
& ( cQ @ Y2 @ Y1 ) )
=> ( cQ @ Y0 @ Y1 ) ) ) )
@ sK1 )
= $false )
| ~ spl0_2 ),
inference(sigma_proxy_clausification,[],[f22]) ).
thf(f25,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( cQ @ sK1 @ Y1 )
& ( cQ @ Y1 @ Y0 ) )
=> ( cQ @ sK1 @ Y0 ) ) ) ) )
| ~ spl0_2 ),
inference(beta-eta_normalization,[],[f24]) ).
thf(f26,plain,
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( cQ @ sK1 @ Y1 )
& ( cQ @ Y1 @ Y0 ) )
=> ( cQ @ sK1 @ Y0 ) ) )
@ sK2 )
= $false )
| ~ spl0_2 ),
inference(sigma_proxy_clausification,[],[f25]) ).
thf(f27,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( cQ @ sK1 @ Y0 )
& ( cQ @ Y0 @ sK2 ) )
=> ( cQ @ sK1 @ sK2 ) ) ) )
| ~ spl0_2 ),
inference(beta-eta_normalization,[],[f26]) ).
thf(f28,plain,
( ( ( ^ [Y0: a] :
( ( ( cQ @ sK1 @ Y0 )
& ( cQ @ Y0 @ sK2 ) )
=> ( cQ @ sK1 @ sK2 ) )
@ sK3 )
= $false )
| ~ spl0_2 ),
inference(sigma_proxy_clausification,[],[f27]) ).
thf(f29,plain,
( ( $false
= ( ( ( cQ @ sK1 @ sK3 )
& ( cQ @ sK3 @ sK2 ) )
=> ( cQ @ sK1 @ sK2 ) ) )
| ~ spl0_2 ),
inference(beta-eta_normalization,[],[f28]) ).
thf(f30,plain,
( ( ( cQ @ sK1 @ sK2 )
= $false )
| ~ spl0_2 ),
inference(imp_proxy_clausification,[],[f29]) ).
thf(f31,plain,
( ( $true
= ( ( cQ @ sK1 @ sK3 )
& ( cQ @ sK3 @ sK2 ) ) )
| ~ spl0_2 ),
inference(imp_proxy_clausification,[],[f29]) ).
thf(f37,plain,
( ( $true
= ( cQ @ sK1 @ sK3 ) )
| ~ spl0_2 ),
inference(and_proxy_clausification,[],[f31]) ).
thf(f52,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( cQ @ Y3 @ Y4 ) ) ) ) )
& ( ?? @ a @ Y2 ) )
=> ( Y1 = Y2 ) ) )
& ( ?? @ a @ Y1 )
& ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( cQ @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f11]) ).
thf(f57,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( cQ @ Y3 @ Y4 ) ) ) ) )
& ( ?? @ a @ Y2 ) )
=> ( Y1 = Y2 ) ) )
& ( ?? @ a @ Y1 )
& ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( cQ @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f52]) ).
thf(f58,plain,
! [X1: a] :
( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( cQ @ Y2 @ Y3 ) ) ) ) )
& ( ?? @ a @ Y1 ) )
=> ( Y0 = Y1 ) ) )
& ( ?? @ a @ Y0 )
& ( Y0 @ X1 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cQ @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f57]) ).
thf(f59,plain,
! [X1: a] :
( ( ^ [Y0: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( cQ @ Y2 @ Y3 ) ) ) ) )
& ( ?? @ a @ Y1 ) )
=> ( Y0 = Y1 ) ) )
& ( ?? @ a @ Y0 )
& ( Y0 @ X1 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cQ @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) ) )
@ ( sK4 @ X1 ) )
= $true ),
inference(sigma_proxy_clausification,[],[f58]) ).
thf(f60,plain,
! [X1: a] :
( $true
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ X1 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( cQ @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 ) )
=> ( ( sK4 @ X1 )
= Y0 ) ) )
& ( ?? @ a @ ( sK4 @ X1 ) )
& ( sK4 @ X1 @ X1 )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
= ( sK4 @ X1 @ Y1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f59]) ).
thf(f61,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
= ( sK4 @ X1 @ Y1 ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f60]) ).
thf(f62,plain,
! [X1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ X1 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( cQ @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 ) )
=> ( ( sK4 @ X1 )
= Y0 ) ) )
& ( ?? @ a @ ( sK4 @ X1 ) )
& ( sK4 @ X1 @ X1 ) )
= $true ),
inference(and_proxy_clausification,[],[f60]) ).
thf(f63,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
= ( sK4 @ X1 @ Y1 ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f61]) ).
thf(f64,plain,
! [X2: a,X1: a] :
( $true
= ( ( sK4 @ X1 @ X2 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( cQ @ X2 @ Y0 )
= ( sK4 @ X1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f63]) ).
thf(f66,plain,
! [X1: a] :
( $true
= ( sK4 @ X1 @ X1 ) ),
inference(and_proxy_clausification,[],[f62]) ).
thf(f70,plain,
! [X0: a] :
( ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( cQ @ X0 @ Y0 )
= ( sK4 @ X0 @ Y0 ) ) ) )
= $true ),
inference(constrained_superposition,[],[f64,f66]) ).
thf(f72,plain,
! [X0: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cQ @ X0 @ Y0 )
= ( sK4 @ X0 @ Y0 ) ) ) ),
inference(boolean_simplification,[],[f70]) ).
thf(f76,plain,
! [X0: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( cQ @ X0 @ Y0 )
= ( sK4 @ X0 @ Y0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f72]) ).
thf(f77,plain,
! [X0: a,X1: a] :
( $true
= ( ( cQ @ X0 @ X1 )
= ( sK4 @ X0 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f76]) ).
thf(f78,plain,
! [X0: a,X1: a] :
( ( sK4 @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference(iff_proxy_clausification,[],[f77]) ).
thf(f82,plain,
! [X0: a] :
( $true
= ( cQ @ X0 @ X0 ) ),
inference(constrained_superposition,[],[f66,f78]) ).
thf(f85,plain,
! [X0: a,X1: a] :
( $true
= ( ( cQ @ X0 @ X1 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( cQ @ X1 @ Y0 )
= ( sK4 @ X0 @ Y0 ) ) ) ) ),
inference(constrained_superposition,[],[f64,f78]) ).
thf(f98,plain,
( ( $true
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( cQ @ sK3 @ Y0 )
= ( sK4 @ sK1 @ Y0 ) ) ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f85,f37]) ).
thf(f99,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cQ @ sK3 @ Y0 )
= ( sK4 @ sK1 @ Y0 ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f98]) ).
thf(f103,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( cQ @ sK3 @ Y0 )
= ( sK4 @ sK1 @ Y0 ) )
@ X1 ) )
| ~ spl0_2 ),
inference(pi_proxy_clausification,[],[f99]) ).
thf(f104,plain,
( ! [X1: a] :
( ( ( cQ @ sK3 @ X1 )
= ( sK4 @ sK1 @ X1 ) )
= $true )
| ~ spl0_2 ),
inference(beta-eta_normalization,[],[f103]) ).
thf(f105,plain,
( ! [X1: a] :
( ( cQ @ sK3 @ X1 )
= ( sK4 @ sK1 @ X1 ) )
| ~ spl0_2 ),
inference(iff_proxy_clausification,[],[f104]) ).
thf(f106,plain,
( ! [X1: a] :
( ( cQ @ sK1 @ X1 )
= ( cQ @ sK3 @ X1 ) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f105,f78]) ).
thf(f114,plain,
( ( $true
= ( ( cQ @ sK1 @ sK3 )
& ( cQ @ sK1 @ sK2 ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f31,f106]) ).
thf(f116,plain,
( ( ( $true
& ( cQ @ sK1 @ sK2 ) )
= $true )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f114,f37]) ).
thf(f117,plain,
( ( $true
= ( cQ @ sK1 @ sK2 ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f116]) ).
thf(f131,plain,
( ( $true = $false )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f117,f30]) ).
thf(f132,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f131]) ).
thf(f133,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f132]) ).
thf(f134,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y1 @ Y0 )
=> ( cQ @ Y0 @ Y1 ) ) ) ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) )
| ~ spl0_1 ),
inference(and_proxy_clausification,[],[f18]) ).
thf(f136,definition,
( spl0_3
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y1 @ Y0 )
=> ( cQ @ Y0 @ Y1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f138,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y1 @ Y0 )
=> ( cQ @ Y0 @ Y1 ) ) ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f136]) ).
thf(f140,definition,
( spl0_4
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f142,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f140]) ).
thf(f143,plain,
( spl0_3
| spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f134,f16,f140,f136]) ).
thf(f144,plain,
( ( ( ^ [Y0: a] : ( cQ @ Y0 @ Y0 )
@ sK5 )
= $false )
| ~ spl0_4 ),
inference(sigma_proxy_clausification,[],[f142]) ).
thf(f145,plain,
( ( $false
= ( cQ @ sK5 @ sK5 ) )
| ~ spl0_4 ),
inference(beta-eta_normalization,[],[f144]) ).
thf(f146,plain,
( ( $true = $false )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f145,f82]) ).
thf(f147,plain,
( $false
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f146]) ).
thf(f148,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f147]) ).
thf(f151,plain,
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y1 @ Y0 )
=> ( cQ @ Y0 @ Y1 ) ) )
@ sK6 )
= $false )
| ~ spl0_3 ),
inference(sigma_proxy_clausification,[],[f138]) ).
thf(f152,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( cQ @ Y0 @ sK6 )
=> ( cQ @ sK6 @ Y0 ) ) )
= $false )
| ~ spl0_3 ),
inference(beta-eta_normalization,[],[f151]) ).
thf(f153,plain,
( ( ( ^ [Y0: a] :
( ( cQ @ Y0 @ sK6 )
=> ( cQ @ sK6 @ Y0 ) )
@ sK7 )
= $false )
| ~ spl0_3 ),
inference(sigma_proxy_clausification,[],[f152]) ).
thf(f154,plain,
( ( ( ( cQ @ sK7 @ sK6 )
=> ( cQ @ sK6 @ sK7 ) )
= $false )
| ~ spl0_3 ),
inference(beta-eta_normalization,[],[f153]) ).
thf(f155,plain,
( ( ( cQ @ sK6 @ sK7 )
= $false )
| ~ spl0_3 ),
inference(imp_proxy_clausification,[],[f154]) ).
thf(f156,plain,
( ( ( cQ @ sK7 @ sK6 )
= $true )
| ~ spl0_3 ),
inference(imp_proxy_clausification,[],[f154]) ).
thf(f169,plain,
( ( $true
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( cQ @ sK6 @ Y0 )
= ( sK4 @ sK7 @ Y0 ) ) ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f85,f156]) ).
thf(f170,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cQ @ sK6 @ Y0 )
= ( sK4 @ sK7 @ Y0 ) ) ) )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f169]) ).
thf(f172,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( cQ @ sK6 @ Y0 )
= ( sK4 @ sK7 @ Y0 ) )
@ X1 ) )
| ~ spl0_3 ),
inference(pi_proxy_clausification,[],[f170]) ).
thf(f173,plain,
( ! [X1: a] :
( ( ( cQ @ sK6 @ X1 )
= ( sK4 @ sK7 @ X1 ) )
= $true )
| ~ spl0_3 ),
inference(beta-eta_normalization,[],[f172]) ).
thf(f174,plain,
( ! [X1: a] :
( ( sK4 @ sK7 @ X1 )
= ( cQ @ sK6 @ X1 ) )
| ~ spl0_3 ),
inference(iff_proxy_clausification,[],[f173]) ).
thf(f175,plain,
( ! [X1: a] :
( ( cQ @ sK7 @ X1 )
= ( cQ @ sK6 @ X1 ) )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f174,f78]) ).
thf(f178,plain,
( ( $true
= ( cQ @ sK6 @ sK7 ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f175,f82]) ).
thf(f190,plain,
( ( $true = $false )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f178,f155]) ).
thf(f191,plain,
( $false
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f190]) ).
thf(f192,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f191]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f23]) ).
cnf(s5,plain,
~ spl0_2,
inference(sat_conversion,[],[f133]) ).
cnf(s6,plain,
( ~ spl0_1
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f143]) ).
cnf(s7,plain,
~ spl0_4,
inference(sat_conversion,[],[f148]) ).
cnf(s9,plain,
~ spl0_3,
inference(sat_conversion,[],[f192]) ).
cnf(s10,plain,
~ spl0_1,
inference(rat,[],[s6,s7,s9]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s5,s10]) ).
thf(f194,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEV028^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.22 % Computer : n008.cluster.edu
% 0.13/0.22 % Model : x86_64 x86_64
% 0.13/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.22 % Memory : 8046.5625MB
% 0.13/0.22 % OS : Linux 6.8.0-71-generic
% 0.13/0.22 % CPULimit : 300
% 0.13/0.22 % WCLimit : 300
% 0.13/0.22 % DateTime : Tue Sep 29 15:05:00 UTC 2026
% 0.13/0.22 % CPUTime :
% 0.13/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.26 Running higher-order theorem proving
% 0.13/0.27 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
% 0.25/0.36 % (3274179)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.25/0.36 % (3274188)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4171212443:i=24:av=off:rtra=on_3000 on theBenchmark for (3000ds/24Mi)
% 0.25/0.36 % (3274188)Instruction limit reached!
% 0.25/0.36 % (3274188)------------------------------
% 0.25/0.36 % (3274188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (3274188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.36 % (3274188)CaDiCaL version: 2.1.3
% 0.25/0.36 % (3274188)Termination reason: Instruction limit
% 0.25/0.36 % (3274188)Termination phase: Saturation
% 0.25/0.36 % (3274188)Time elapsed: 0.008 s
% 0.25/0.36 % (3274188)Peak memory usage: 12 MB
% 0.25/0.36 % (3274188)Instructions burned: 25 (million)
% 0.25/0.36 % (3274190)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.25/0.36 % (3274190)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
% 0.25/0.36 % (3274193)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1427382247:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.25/0.36 % (3274184)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1865179176:s2a=on:i=87:rtra=on:ntd=on_3000 on theBenchmark for (3000ds/87Mi)
% 0.25/0.36 % (3274186)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1883175673:i=3:rtra=on:inj=on:ntd=on_3000 on theBenchmark for (3000ds/3Mi)
% 0.25/0.36 % (3274185)lrs+10_16_si=on:nwc=1.5:random_seed=3762296425:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_3000 on theBenchmark for (3000ds/18Mi)
% 0.25/0.36 % (3274187)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1705781361:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_3000 on theBenchmark for (3000ds/634Mi)
% 0.25/0.36 % (3274193)Instruction limit reached!
% 0.25/0.36 % (3274193)------------------------------
% 0.25/0.36 % (3274193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (3274193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.36 % (3274193)CaDiCaL version: 2.1.3
% 0.25/0.36 % (3274193)Termination reason: Instruction limit
% 0.25/0.36 % (3274193)Termination phase: Saturation
% 0.25/0.36 % (3274193)Time elapsed: 0.001 s
% 0.25/0.36 % (3274193)Peak memory usage: 12 MB
% 0.25/0.36 % (3274193)Instructions burned: 2 (million)
% 0.25/0.36 % (3274189)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3581270277:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_3000 on theBenchmark for (3000ds/75Mi)
% 0.25/0.36 % (3274190)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=3663428350:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_3000 on theBenchmark for (3000ds/157Mi)
% 0.25/0.36 % (3274186)Instruction limit reached!
% 0.25/0.36 % (3274186)------------------------------
% 0.25/0.36 % (3274186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (3274186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.36 % (3274186)CaDiCaL version: 2.1.3
% 0.25/0.36 % (3274186)Termination reason: Instruction limit
% 0.25/0.36 % (3274186)Termination phase: Saturation
% 0.25/0.36 % (3274186)Time elapsed: 0.003 s
% 0.25/0.36 % (3274186)Peak memory usage: 12 MB
% 0.25/0.36 % (3274186)Instructions burned: 3 (million)
% 0.25/0.36 % (3274200)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2928832898:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.25/0.36 % (3274200)Instruction limit reached!
% 0.25/0.36 % (3274200)------------------------------
% 0.25/0.36 % (3274200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (3274200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.36 % (3274200)CaDiCaL version: 2.1.3
% 0.25/0.36 % (3274200)Termination reason: Instruction limit
% 0.25/0.36 % (3274200)Termination phase: Saturation
% 0.25/0.36 % (3274200)Time elapsed: 0.002 s
% 0.25/0.36 % (3274200)Peak memory usage: 12 MB
% 0.25/0.36 % (3274200)Instructions burned: 6 (million)
% 0.25/0.36 % (3274185)Instruction limit reached!
% 0.25/0.36 % (3274185)------------------------------
% 0.25/0.36 % (3274185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (3274185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.36 % (3274185)CaDiCaL version: 2.1.3
% 0.25/0.36 % (3274185)Termination reason: Instruction limit
% 0.25/0.36 % (3274185)Termination phase: Saturation
% 0.25/0.36 % (3274185)Time elapsed: 0.018 s
% 0.25/0.36 % (3274185)Peak memory usage: 12 MB
% 0.25/0.36 % (3274185)Instructions burned: 18 (million)
% 0.25/0.36 % (3274206)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1806192563:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.25/0.36 % (3274206)Instruction limit reached!
% 0.25/0.36 % (3274206)------------------------------
% 0.25/0.36 % (3274206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (3274206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.36 % (3274206)CaDiCaL version: 2.1.3
% 0.25/0.36 % (3274206)Termination reason: Instruction limit
% 0.25/0.36 % (3274206)Termination phase: Saturation
% 0.25/0.36 % (3274206)Time elapsed: 0.004 s
% 0.25/0.36 % (3274206)Peak memory usage: 12 MB
% 0.25/0.36 % (3274206)Instructions burned: 13 (million)
% 0.25/0.36 % (3274203)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.25/0.36 % (3274203)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=992618399:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.25/0.36 % (3274210)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=227540495:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.25/0.36 % (3274203)Instruction limit reached!
% 0.25/0.36 % (3274203)------------------------------
% 0.25/0.36 % (3274203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (3274203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.36 % (3274203)CaDiCaL version: 2.1.3
% 0.25/0.36 % (3274203)Termination reason: Instruction limit
% 0.25/0.36 % (3274203)Termination phase: Saturation
% 0.25/0.36 % (3274203)Time elapsed: 0.007 s
% 0.25/0.36 % (3274203)Peak memory usage: 12 MB
% 0.25/0.36 % (3274203)Instructions burned: 7 (million)
% 0.25/0.36 % (3274207)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
% 0.25/0.36 % (3274207)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.25/0.36 % (3274210) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3274179-3274210"...
% 0.25/0.36 % (3274207)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4139068344:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.25/0.36 % (3274210)...printing done.
% 0.25/0.36 % (3274210)Refutation found. Thanks to Tanya!
% 0.25/0.36 % SZS status Theorem for theBenchmark
% 0.25/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.36 % (3274210)------------------------------
% 0.25/0.36 % (3274210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (3274210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.36 % (3274210)CaDiCaL version: 2.1.3
% 0.25/0.36 % (3274210)Termination reason: Refutation
% 0.25/0.36 % (3274210)Time elapsed: 0.009 s
% 0.25/0.36 % (3274210)Peak memory usage: 13 MB
% 0.25/0.36 % (3274210)Instructions burned: 28 (million)
% 0.25/0.36 % (3274179)Success in time 0.086 s
% 0.25/0.36 % Vampire exiting
%------------------------------------------------------------------------------