%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP009^3 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 08:07:41 AM UTC 2026
% Result : Theorem 0.68s 0.42s
% Output : Refutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 89 ( 16 unt; 0 typ; 4 def)
% Number of atoms : 598 ( 168 equ; 0 cnn)
% Maximal formula atoms : 10 ( 6 avg)
% Number of connectives : 1595 ( 107 ~; 115 |; 49 &;1294 @)
% ( 12 <=>; 17 =>; 0 <=; 1 <~>)
% Maximal formula depth : 25 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 254 ( 254 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 30 usr; 9 con; 0-8 aty)
% Number of variables : 263 ( 0 sgn 215 !; 48 ?; 263 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
tyop_2Emin_2Ebool: $tType ).
thf(type_def_6,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_8,type,
sK0: $tType ).
thf(type_def_9,type,
sK1: $tType ).
thf(type_def_10,type,
sK2: $tType ).
thf(type_def_11,type,
sK3: $tType ).
thf(func_def_0,type,
c_2Ebool_2E_21:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_1,type,
c_2Equotient_2E_2D_2D_3E:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( X0 > X2 ) > ( X1 > X3 ) > ( X2 > X1 ) > X0 > X3 ) ).
thf(func_def_2,type,
c_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(func_def_3,type,
c_2Emin_2E_3D:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_4,type,
c_2Equotient_2E_3D_3D_3D_3E:
!>[X0: $tType,X1: $tType] : ( ( X0 > X0 > $o ) > ( X1 > X1 > $o ) > ( X0 > X1 ) > ( X0 > X1 ) > $o ) ).
thf(func_def_5,type,
c_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(func_def_6,type,
c_2Ebool_2E_3F:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_7,type,
c_2Ebool_2EF: $o ).
thf(func_def_8,type,
c_2Equotient_2EQUOTIENT:
!>[X0: $tType,X1: $tType] : ( ( X0 > X0 > $o ) > ( X0 > X1 ) > ( X1 > X0 ) > $o ) ).
thf(func_def_9,type,
c_2Ebool_2ET: $o ).
thf(func_def_10,type,
c_2Ecombin_2EW:
!>[X0: $tType,X1: $tType] : ( ( X0 > X0 > X1 ) > X0 > X1 ) ).
thf(func_def_11,type,
c_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(func_def_12,type,
c_2Equotient_2Erespects:
!>[X0: $tType,X1: $tType] : ( ( X0 > X0 > X1 ) > X0 > X1 ) ).
thf(func_def_13,type,
c_2Ebool_2E_7E: $o > $o ).
thf(func_def_15,type,
vNOT: $o > $o ).
thf(func_def_18,type,
sK4: sK0 > sK3 ).
thf(func_def_19,type,
sK5: sK3 > sK3 > $o ).
thf(func_def_20,type,
sK6: sK3 > sK0 ).
thf(func_def_21,type,
sK7: sK1 > sK1 > $o ).
thf(func_def_22,type,
sK8: sK2 > sK1 ).
thf(func_def_23,type,
sK9: sK1 > sK2 ).
thf(func_def_24,type,
sK10: sK3 > sK1 ).
thf(func_def_25,type,
sK11: sK3 > sK1 ).
thf(func_def_27,type,
sK13: sK0 ).
thf(f13,axiom,
! [X1: $tType,X0: $tType,X3: X0,X2: X0 > X0 > X1] :
( ( c_2Ecombin_2EW @ X0 @ X1 @ X2 @ X3 )
= ( X2 @ X3 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ecombin_2EW__THM) ).
thf(f14,axiom,
! [X0: $tType,X1: $tType,X2: X0 > X0 > $o,X3: X0 > X1,X4: X1 > X0] :
( ( c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4 )
=> ! [X5: X0,X6: X0] :
( ( X2 @ X5 @ X6 )
<=> ( ( X2 @ X6 @ X6 )
& ( ( X3 @ X5 )
= ( X3 @ X6 ) )
& ( X2 @ X5 @ X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Equotient_2EQUOTIENT__REL) ).
thf(f15,axiom,
! [X1: $tType,X0: $tType,X2: $tType,X3: $tType,X6: X2 > X0,X4: X0 > X0 > $o,X5: X0 > X2] :
( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6 )
=> ! [X8: X1 > X3,X9: X3 > X1,X7: X1 > X1 > $o] :
( ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9 )
=> ( c_2Equotient_2EQUOTIENT @ ( X0 > X1 ) @ ( X2 > X3 ) @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 ) @ ( c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X5 @ X9 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Equotient_2EFUN__QUOTIENT) ).
thf(f16,axiom,
! [X1: $tType,X0: $tType] : ( c_2Equotient_2Erespects @ X0 @ ( X1 = c_2Ecombin_2EW ) @ X0 @ X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Equotient_2Erespects__def) ).
thf(f17,conjecture,
! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: X0 > X0 > $o,X5: X0 > X2,X6: X2 > X0] :
( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6 )
=> ! [X8: X1 > X3,X7: X1 > X1 > $o,X9: X3 > X1] :
( ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9 )
=> ! [X11: X0 > X1,X10: X0 > X1] :
( ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 @ X10 @ X11 )
<=> ( ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X11 )
& ( ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X10 )
= ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X11 ) )
& ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X10 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Equotient_2EFUN__REL__EQ__REL) ).
thf(f18,negated_conjecture,
~ ! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: X0 > X0 > $o,X5: X0 > X2,X6: X2 > X0] :
( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6 )
=> ! [X8: X1 > X3,X7: X1 > X1 > $o,X9: X3 > X1] :
( ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9 )
=> ! [X11: X0 > X1,X10: X0 > X1] :
( ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 @ X10 @ X11 )
<=> ( ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X11 )
& ( ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X10 )
= ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X11 ) )
& ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X10 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
thf(f37,plain,
! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: X2 > X1,X5: X1 > X1 > $o,X6: X1 > X2] :
( ( c_2Equotient_2EQUOTIENT @ X1 @ X2 @ X5 @ X6 @ X4 )
=> ! [X7: X0 > X3,X8: X3 > X0,X9: X0 > X0 > $o] :
( ( c_2Equotient_2EQUOTIENT @ X0 @ X3 @ X9 @ X7 @ X8 )
=> ( c_2Equotient_2EQUOTIENT @ ( X1 > X0 ) @ ( X2 > X3 ) @ ( c_2Equotient_2E_3D_3D_3D_3E @ X1 @ X0 @ X5 @ X9 ) @ ( c_2Equotient_2E_2D_2D_3E @ X2 @ X0 @ X1 @ X3 @ X4 @ X7 ) @ ( c_2Equotient_2E_2D_2D_3E @ X1 @ X3 @ X2 @ X0 @ X6 @ X8 ) ) ) ),
inference(rectify,[],[f15]) ).
thf(f38,plain,
! [X2: $tType,X3: $tType,X0: $tType,X1: $tType,X6: X1 > X2,X4: X2 > X1,X5: X1 > X1 > $o] :
( ( ( c_2Equotient_2EQUOTIENT @ X1 @ X2 @ X5 @ X6 @ X4 )
= $true )
=> ! [X7: X0 > X3,X9: X0 > X0 > $o,X8: X3 > X0] :
( ( ( c_2Equotient_2EQUOTIENT @ X0 @ X3 @ X9 @ X7 @ X8 )
= $true )
=> ( $true
= ( c_2Equotient_2EQUOTIENT @ ( X1 > X0 ) @ ( X2 > X3 ) @ ( c_2Equotient_2E_3D_3D_3D_3E @ X1 @ X0 @ X5 @ X9 ) @ ( c_2Equotient_2E_2D_2D_3E @ X2 @ X0 @ X1 @ X3 @ X4 @ X7 ) @ ( c_2Equotient_2E_2D_2D_3E @ X1 @ X3 @ X2 @ X0 @ X6 @ X8 ) ) ) ) ),
inference(fool_elimination,[],[f37]) ).
thf(f39,plain,
! [X0: $tType,X1: $tType,X2: X0 > X0 > $o,X3: X0 > X1,X4: X1 > X0] :
( ( c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4 )
=> ! [X5: X0,X6: X0] :
( ( X2 @ X5 @ X6 )
<=> ( ( X2 @ X6 @ X6 )
& ( ( X3 @ X5 )
= ( X3 @ X6 ) )
& ( X2 @ X5 @ X5 ) ) ) ),
inference(rectify,[],[f14]) ).
thf(f40,plain,
! [X0: $tType,X1: $tType,X3: X0 > X1,X4: X1 > X0,X2: X0 > X0 > $o] :
( ( ( c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4 )
= $true )
=> ! [X6: X0,X5: X0] :
( ( ( ( X3 @ X5 )
= ( X3 @ X6 ) )
& ( ( X2 @ X5 @ X5 )
= $true )
& ( ( X2 @ X6 @ X6 )
= $true ) )
<=> ( ( X2 @ X5 @ X6 )
= $true ) ) ),
inference(fool_elimination,[],[f39]) ).
thf(f43,plain,
~ ! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: X0 > X0 > $o,X5: X0 > X2,X6: X2 > X0] :
( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6 )
=> ! [X7: X1 > X3,X8: X1 > X1 > $o,X9: X3 > X1] :
( ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X8 @ X7 @ X9 )
=> ! [X10: X0 > X1,X11: X0 > X1] :
( ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 @ X11 @ X10 )
<=> ( ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 ) @ X10 )
& ( ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X7 @ X11 )
= ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X7 @ X10 ) )
& ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 ) @ X11 ) ) ) ) ),
inference(rectify,[],[f18]) ).
thf(f44,plain,
~ ! [X1: $tType,X0: $tType,X2: $tType,X3: $tType,X5: X0 > X2,X4: X0 > X0 > $o,X6: X2 > X0] :
( ( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6 )
= $true )
=> ! [X8: X1 > X1 > $o,X9: X3 > X1,X7: X1 > X3] :
( ( $true
= ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X8 @ X7 @ X9 ) )
=> ! [X11: X0 > X1,X10: X0 > X1] :
( ( ( $true
= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 ) @ X11 ) )
& ( ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X7 @ X11 )
= ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X7 @ X10 ) )
& ( $true
= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 ) @ X10 ) ) )
<=> ( $true
= ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 @ X11 @ X10 ) ) ) ) ),
inference(fool_elimination,[],[f43]) ).
thf(f49,plain,
! [X1: $tType,X0: $tType,X2: X1,X3: X1 > X1 > X0] :
( ( c_2Ecombin_2EW @ X1 @ X0 @ X3 @ X2 )
= ( X3 @ X2 @ X2 ) ),
inference(rectify,[],[f13]) ).
thf(f50,plain,
! [X1: $tType,X0: $tType,X4: X1 > X0,X3: X0 > X1,X2: X0 > X0 > $o] :
( ( ( c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4 )
!= $true )
| ! [X6: X0,X5: X0] :
( ( ( ( X3 @ X5 )
= ( X3 @ X6 ) )
& ( ( X2 @ X5 @ X5 )
= $true )
& ( ( X2 @ X6 @ X6 )
= $true ) )
<=> ( ( X2 @ X5 @ X6 )
= $true ) ) ),
inference(ennf_transformation,[],[f40]) ).
thf(f51,plain,
? [X2: $tType,X1: $tType,X3: $tType,X0: $tType,X6: X2 > X0,X4: X0 > X0 > $o,X5: X0 > X2] :
( ( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6 )
= $true )
& ? [X8: X1 > X1 > $o,X9: X3 > X1,X7: X1 > X3] :
( ? [X10: X0 > X1,X11: X0 > X1] :
( ( ( $true
= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 ) @ X11 ) )
& ( ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X7 @ X11 )
= ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X7 @ X10 ) )
& ( $true
= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 ) @ X10 ) ) )
<~> ( $true
= ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 @ X11 @ X10 ) ) )
& ( $true
= ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X8 @ X7 @ X9 ) ) ) ),
inference(ennf_transformation,[],[f44]) ).
thf(f56,plain,
! [X3: $tType,X0: $tType,X2: $tType,X1: $tType,X5: X1 > X1 > $o,X6: X1 > X2,X4: X2 > X1] :
( ( ( c_2Equotient_2EQUOTIENT @ X1 @ X2 @ X5 @ X6 @ X4 )
!= $true )
| ! [X7: X0 > X3,X9: X0 > X0 > $o,X8: X3 > X0] :
( ( $true
= ( c_2Equotient_2EQUOTIENT @ ( X1 > X0 ) @ ( X2 > X3 ) @ ( c_2Equotient_2E_3D_3D_3D_3E @ X1 @ X0 @ X5 @ X9 ) @ ( c_2Equotient_2E_2D_2D_3E @ X2 @ X0 @ X1 @ X3 @ X4 @ X7 ) @ ( c_2Equotient_2E_2D_2D_3E @ X1 @ X3 @ X2 @ X0 @ X6 @ X8 ) ) )
| ( ( c_2Equotient_2EQUOTIENT @ X0 @ X3 @ X9 @ X7 @ X8 )
!= $true ) ) ),
inference(ennf_transformation,[],[f38]) ).
thf(f57,plain,
! [X0: $tType,X1: $tType,X2: X0,X3: X0 > X0 > X1] :
( ( X3 @ X2 @ X2 )
= ( c_2Ecombin_2EW @ X0 @ X1 @ X3 @ X2 ) ),
inference(rectify,[],[f49]) ).
thf(f61,plain,
! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: X3 > X3 > $o,X5: X3 > X2,X6: X2 > X3] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ X3 @ X2 @ X4 @ X5 @ X6 ) )
| ! [X7: X1 > X0,X8: X1 > X1 > $o,X9: X0 > X1] :
( ( ( c_2Equotient_2EQUOTIENT @ ( X3 > X1 ) @ ( X2 > X0 ) @ ( c_2Equotient_2E_3D_3D_3D_3E @ X3 @ X1 @ X4 @ X8 ) @ ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X3 @ X0 @ X6 @ X7 ) @ ( c_2Equotient_2E_2D_2D_3E @ X3 @ X0 @ X2 @ X1 @ X5 @ X9 ) )
= $true )
| ( ( c_2Equotient_2EQUOTIENT @ X1 @ X0 @ X8 @ X7 @ X9 )
!= $true ) ) ),
inference(rectify,[],[f56]) ).
thf(f62,plain,
? [X2: $tType,X1: $tType,X3: $tType,X0: $tType,X6: X2 > X0,X4: X0 > X0 > $o,X5: X0 > X2] :
( ( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6 )
= $true )
& ? [X8: X1 > X1 > $o,X9: X3 > X1,X7: X1 > X3] :
( ? [X10: X0 > X1,X11: X0 > X1] :
( ( ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 @ X11 @ X10 ) )
| ( $true
!= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 ) @ X11 ) )
| ( ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X7 @ X11 )
!= ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X7 @ X10 ) )
| ( $true
!= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 ) @ X10 ) ) )
& ( ( $true
= ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 @ X11 @ X10 ) )
| ( ( $true
= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 ) @ X11 ) )
& ( ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X7 @ X11 )
= ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X7 @ X10 ) )
& ( $true
= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 ) @ X10 ) ) ) ) )
& ( $true
= ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X8 @ X7 @ X9 ) ) ) ),
inference(nnf_transformation,[],[f51]) ).
thf(f63,plain,
? [X2: $tType,X1: $tType,X3: $tType,X0: $tType,X6: X2 > X0,X4: X0 > X0 > $o,X5: X0 > X2] :
( ( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6 )
= $true )
& ? [X8: X1 > X1 > $o,X9: X3 > X1,X7: X1 > X3] :
( ? [X10: X0 > X1,X11: X0 > X1] :
( ( ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 @ X11 @ X10 ) )
| ( $true
!= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 ) @ X11 ) )
| ( ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X7 @ X11 )
!= ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X7 @ X10 ) )
| ( $true
!= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 ) @ X10 ) ) )
& ( ( $true
= ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 @ X11 @ X10 ) )
| ( ( $true
= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 ) @ X11 ) )
& ( ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X7 @ X11 )
= ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X7 @ X10 ) )
& ( $true
= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X8 ) @ X10 ) ) ) ) )
& ( $true
= ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X8 @ X7 @ X9 ) ) ) ),
inference(flattening,[],[f62]) ).
thf(f64,plain,
? [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: X0 > X3,X5: X3 > X3 > $o,X6: X3 > X0] :
( ( ( c_2Equotient_2EQUOTIENT @ X3 @ X0 @ X5 @ X6 @ X4 )
= $true )
& ? [X7: X1 > X1 > $o,X8: X2 > X1,X9: X1 > X2] :
( ? [X10: X3 > X1,X11: X3 > X1] :
( ( ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ X3 @ X1 @ X5 @ X7 @ X11 @ X10 ) )
| ( ( c_2Equotient_2Erespects @ ( X3 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X3 @ X1 @ X5 @ X7 ) @ X11 )
!= $true )
| ( ( c_2Equotient_2E_2D_2D_3E @ X0 @ X1 @ X3 @ X2 @ X4 @ X9 @ X10 )
!= ( c_2Equotient_2E_2D_2D_3E @ X0 @ X1 @ X3 @ X2 @ X4 @ X9 @ X11 ) )
| ( $true
!= ( c_2Equotient_2Erespects @ ( X3 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X3 @ X1 @ X5 @ X7 ) @ X10 ) ) )
& ( ( $true
= ( c_2Equotient_2E_3D_3D_3D_3E @ X3 @ X1 @ X5 @ X7 @ X11 @ X10 ) )
| ( ( ( c_2Equotient_2Erespects @ ( X3 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X3 @ X1 @ X5 @ X7 ) @ X11 )
= $true )
& ( ( c_2Equotient_2E_2D_2D_3E @ X0 @ X1 @ X3 @ X2 @ X4 @ X9 @ X10 )
= ( c_2Equotient_2E_2D_2D_3E @ X0 @ X1 @ X3 @ X2 @ X4 @ X9 @ X11 ) )
& ( $true
= ( c_2Equotient_2Erespects @ ( X3 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X3 @ X1 @ X5 @ X7 ) @ X10 ) ) ) ) )
& ( ( c_2Equotient_2EQUOTIENT @ X1 @ X2 @ X7 @ X9 @ X8 )
= $true ) ) ),
inference(rectify,[],[f63]) ).
thf(f65,plain,
( ( ( c_2Equotient_2EQUOTIENT @ sK3 @ sK0 @ sK5 @ sK6 @ sK4 )
= $true )
& ( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 @ sK11 @ sK10 )
!= $true )
| ( ( c_2Equotient_2Erespects @ ( sK3 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ sK11 )
!= $true )
| ( ( c_2Equotient_2E_2D_2D_3E @ sK0 @ sK1 @ sK3 @ sK2 @ sK4 @ sK9 @ sK10 )
!= ( c_2Equotient_2E_2D_2D_3E @ sK0 @ sK1 @ sK3 @ sK2 @ sK4 @ sK9 @ sK11 ) )
| ( ( c_2Equotient_2Erespects @ ( sK3 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ sK10 )
!= $true ) )
& ( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 @ sK11 @ sK10 )
= $true )
| ( ( ( c_2Equotient_2Erespects @ ( sK3 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ sK11 )
= $true )
& ( ( c_2Equotient_2E_2D_2D_3E @ sK0 @ sK1 @ sK3 @ sK2 @ sK4 @ sK9 @ sK10 )
= ( c_2Equotient_2E_2D_2D_3E @ sK0 @ sK1 @ sK3 @ sK2 @ sK4 @ sK9 @ sK11 ) )
& ( ( c_2Equotient_2Erespects @ ( sK3 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ sK10 )
= $true ) ) )
& ( ( c_2Equotient_2EQUOTIENT @ sK1 @ sK2 @ sK7 @ sK9 @ sK8 )
= $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10),skolemize(X11,sK11)],[f64]) ).
thf(f66,plain,
! [X0: $tType,X1: $tType] : ( c_2Equotient_2Erespects @ X1 @ ( X0 = c_2Ecombin_2EW ) @ X1 @ X0 ),
inference(rectify,[],[f16]) ).
thf(f67,plain,
! [X1: $tType,X0: $tType,X4: X1 > X0,X3: X0 > X1,X2: X0 > X0 > $o] :
( ( ( c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4 )
!= $true )
| ! [X6: X0,X5: X0] :
( ( ( ( ( X3 @ X5 )
= ( X3 @ X6 ) )
& ( ( X2 @ X5 @ X5 )
= $true )
& ( ( X2 @ X6 @ X6 )
= $true ) )
| ( ( X2 @ X5 @ X6 )
!= $true ) )
& ( ( ( X2 @ X5 @ X6 )
= $true )
| ( ( X3 @ X5 )
!= ( X3 @ X6 ) )
| ( ( X2 @ X5 @ X5 )
!= $true )
| ( ( X2 @ X6 @ X6 )
!= $true ) ) ) ),
inference(nnf_transformation,[],[f50]) ).
thf(f68,plain,
! [X1: $tType,X0: $tType,X4: X1 > X0,X3: X0 > X1,X2: X0 > X0 > $o] :
( ( ( c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4 )
!= $true )
| ! [X6: X0,X5: X0] :
( ( ( ( ( X3 @ X5 )
= ( X3 @ X6 ) )
& ( ( X2 @ X5 @ X5 )
= $true )
& ( ( X2 @ X6 @ X6 )
= $true ) )
| ( ( X2 @ X5 @ X6 )
!= $true ) )
& ( ( ( X2 @ X5 @ X6 )
= $true )
| ( ( X3 @ X5 )
!= ( X3 @ X6 ) )
| ( ( X2 @ X5 @ X5 )
!= $true )
| ( ( X2 @ X6 @ X6 )
!= $true ) ) ) ),
inference(flattening,[],[f67]) ).
thf(f69,plain,
! [X0: $tType,X1: $tType,X2: X0 > X1,X3: X1 > X0,X4: X1 > X1 > $o] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ X1 @ X0 @ X4 @ X3 @ X2 ) )
| ! [X5: X1,X6: X1] :
( ( ( ( ( X3 @ X6 )
= ( X3 @ X5 ) )
& ( ( X4 @ X6 @ X6 )
= $true )
& ( $true
= ( X4 @ X5 @ X5 ) ) )
| ( ( X4 @ X6 @ X5 )
!= $true ) )
& ( ( ( X4 @ X6 @ X5 )
= $true )
| ( ( X3 @ X6 )
!= ( X3 @ X5 ) )
| ( ( X4 @ X6 @ X6 )
!= $true )
| ( $true
!= ( X4 @ X5 @ X5 ) ) ) ) ),
inference(rectify,[],[f68]) ).
thf(f71,plain,
! [X1: $tType,X0: $tType,X2: X0,X3: X0 > X0 > X1] :
( ( X3 @ X2 @ X2 )
= ( c_2Ecombin_2EW @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf_transformation,[],[f57]) ).
thf(f78,plain,
! [X1: $tType,X0: $tType,X3: $tType,X2: $tType,X8: X1 > X1 > $o,X6: X2 > X3,X9: X0 > X1,X7: X1 > X0,X4: X3 > X3 > $o,X5: X3 > X2] :
( ( ( c_2Equotient_2EQUOTIENT @ ( X3 > X1 ) @ ( X2 > X0 ) @ ( c_2Equotient_2E_3D_3D_3D_3E @ X3 @ X1 @ X4 @ X8 ) @ ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X3 @ X0 @ X6 @ X7 ) @ ( c_2Equotient_2E_2D_2D_3E @ X3 @ X0 @ X2 @ X1 @ X5 @ X9 ) )
= $true )
| ( ( c_2Equotient_2EQUOTIENT @ X1 @ X0 @ X8 @ X7 @ X9 )
!= $true )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ X3 @ X2 @ X4 @ X5 @ X6 ) ) ),
inference(cnf_transformation,[],[f61]) ).
thf(f79,plain,
( ( c_2Equotient_2EQUOTIENT @ sK1 @ sK2 @ sK7 @ sK9 @ sK8 )
= $true ),
inference(cnf_transformation,[],[f65]) ).
thf(f80,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 @ sK11 @ sK10 )
= $true )
| ( ( c_2Equotient_2Erespects @ ( sK3 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ sK10 )
= $true ) ),
inference(cnf_transformation,[],[f65]) ).
thf(f81,plain,
( ( ( c_2Equotient_2E_2D_2D_3E @ sK0 @ sK1 @ sK3 @ sK2 @ sK4 @ sK9 @ sK10 )
= ( c_2Equotient_2E_2D_2D_3E @ sK0 @ sK1 @ sK3 @ sK2 @ sK4 @ sK9 @ sK11 ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 @ sK11 @ sK10 )
= $true ) ),
inference(cnf_transformation,[],[f65]) ).
thf(f82,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 @ sK11 @ sK10 )
= $true )
| ( ( c_2Equotient_2Erespects @ ( sK3 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ sK11 )
= $true ) ),
inference(cnf_transformation,[],[f65]) ).
thf(f83,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 @ sK11 @ sK10 )
!= $true )
| ( ( c_2Equotient_2Erespects @ ( sK3 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ sK11 )
!= $true )
| ( ( c_2Equotient_2E_2D_2D_3E @ sK0 @ sK1 @ sK3 @ sK2 @ sK4 @ sK9 @ sK10 )
!= ( c_2Equotient_2E_2D_2D_3E @ sK0 @ sK1 @ sK3 @ sK2 @ sK4 @ sK9 @ sK11 ) )
| ( ( c_2Equotient_2Erespects @ ( sK3 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ sK10 )
!= $true ) ),
inference(cnf_transformation,[],[f65]) ).
thf(f84,plain,
( ( c_2Equotient_2EQUOTIENT @ sK3 @ sK0 @ sK5 @ sK6 @ sK4 )
= $true ),
inference(cnf_transformation,[],[f65]) ).
thf(f85,plain,
! [X1: $tType,X0: $tType] : ( c_2Equotient_2Erespects @ X1 @ ( X0 = c_2Ecombin_2EW ) @ X1 @ X0 ),
inference(cnf_transformation,[],[f66]) ).
thf(f86,plain,
! [X1: $tType,X0: $tType,X2: X0 > X1,X3: X1 > X0,X6: X1,X4: X1 > X1 > $o,X5: X1] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ X1 @ X0 @ X4 @ X3 @ X2 ) )
| ( $true
!= ( X4 @ X5 @ X5 ) )
| ( ( X4 @ X6 @ X5 )
= $true )
| ( ( X4 @ X6 @ X6 )
!= $true )
| ( ( X3 @ X6 )
!= ( X3 @ X5 ) ) ),
inference(cnf_transformation,[],[f69]) ).
thf(f87,plain,
! [X1: $tType,X0: $tType,X2: X0 > X1,X3: X1 > X0,X6: X1,X4: X1 > X1 > $o,X5: X1] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ X1 @ X0 @ X4 @ X3 @ X2 ) )
| ( $true
= ( X4 @ X5 @ X5 ) )
| ( ( X4 @ X6 @ X5 )
!= $true ) ),
inference(cnf_transformation,[],[f69]) ).
thf(f88,plain,
! [X1: $tType,X0: $tType,X2: X0 > X1,X3: X1 > X0,X6: X1,X4: X1 > X1 > $o,X5: X1] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ X1 @ X0 @ X4 @ X3 @ X2 ) )
| ( ( X4 @ X6 @ X5 )
!= $true )
| ( ( X4 @ X6 @ X6 )
= $true ) ),
inference(cnf_transformation,[],[f69]) ).
thf(f89,plain,
! [X1: $tType,X0: $tType,X2: X0 > X1,X3: X1 > X0,X6: X1,X4: X1 > X1 > $o,X5: X1] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ X1 @ X0 @ X4 @ X3 @ X2 ) )
| ( ( X4 @ X6 @ X5 )
!= $true )
| ( ( X3 @ X6 )
= ( X3 @ X5 ) ) ),
inference(cnf_transformation,[],[f69]) ).
thf(f96,plain,
( ( ( c_2Equotient_2E_2D_2D_3E @ sK0 @ sK1 @ sK3 @ sK2 @ sK4 @ sK9 @ sK10 )
!= ( c_2Equotient_2E_2D_2D_3E @ sK0 @ sK1 @ sK3 @ sK2 @ sK4 @ sK9 @ sK11 ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 @ sK11 @ sK10 )
!= $true )
| ( $true
!= ( c_2Ecombin_2EW @ ( sK3 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ sK11 ) )
| ( $true
!= ( c_2Ecombin_2EW @ ( sK3 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ sK10 ) ) ),
inference(definition_unfolding,[],[f83,f85,f85]) ).
thf(f97,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 @ sK11 @ sK10 )
= $true )
| ( $true
= ( c_2Ecombin_2EW @ ( sK3 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ sK11 ) ) ),
inference(definition_unfolding,[],[f82,f85]) ).
thf(f98,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 @ sK11 @ sK10 )
= $true )
| ( $true
= ( c_2Ecombin_2EW @ ( sK3 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ sK10 ) ) ),
inference(definition_unfolding,[],[f80,f85]) ).
thf(f122,definition,
( spl12_1
<=> ( ( c_2Equotient_2E_2D_2D_3E @ sK0 @ sK1 @ sK3 @ sK2 @ sK4 @ sK9 @ sK10 )
= ( c_2Equotient_2E_2D_2D_3E @ sK0 @ sK1 @ sK3 @ sK2 @ sK4 @ sK9 @ sK11 ) ) ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
thf(f123,plain,
( ( ( c_2Equotient_2E_2D_2D_3E @ sK0 @ sK1 @ sK3 @ sK2 @ sK4 @ sK9 @ sK10 )
!= ( c_2Equotient_2E_2D_2D_3E @ sK0 @ sK1 @ sK3 @ sK2 @ sK4 @ sK9 @ sK11 ) )
| spl12_1 ),
inference(avatar_component_clause,[],[f122]) ).
thf(f124,plain,
( ( ( c_2Equotient_2E_2D_2D_3E @ sK0 @ sK1 @ sK3 @ sK2 @ sK4 @ sK9 @ sK10 )
= ( c_2Equotient_2E_2D_2D_3E @ sK0 @ sK1 @ sK3 @ sK2 @ sK4 @ sK9 @ sK11 ) )
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f122]) ).
thf(f126,definition,
( spl12_2
<=> ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 @ sK11 @ sK10 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
thf(f127,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 @ sK11 @ sK10 )
!= $true )
| spl12_2 ),
inference(avatar_component_clause,[],[f126]) ).
thf(f128,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 @ sK11 @ sK10 )
= $true )
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f126]) ).
thf(f129,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f81,f126,f122]) ).
thf(f131,definition,
( spl12_3
<=> ( $true
= ( c_2Ecombin_2EW @ ( sK3 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ sK11 ) ) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
thf(f132,plain,
( ( $true
!= ( c_2Ecombin_2EW @ ( sK3 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ sK11 ) )
| spl12_3 ),
inference(avatar_component_clause,[],[f131]) ).
thf(f133,plain,
( ( $true
= ( c_2Ecombin_2EW @ ( sK3 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ sK11 ) )
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f131]) ).
thf(f134,plain,
( spl12_2
| spl12_3 ),
inference(avatar_split_clause,[],[f97,f131,f126]) ).
thf(f136,definition,
( spl12_4
<=> ( $true
= ( c_2Ecombin_2EW @ ( sK3 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ sK10 ) ) ),
introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition]) ).
thf(f137,plain,
( ( $true
!= ( c_2Ecombin_2EW @ ( sK3 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ sK10 ) )
| spl12_4 ),
inference(avatar_component_clause,[],[f136]) ).
thf(f138,plain,
( ( $true
= ( c_2Ecombin_2EW @ ( sK3 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ sK10 ) )
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f136]) ).
thf(f139,plain,
( spl12_2
| spl12_4 ),
inference(avatar_split_clause,[],[f98,f136,f126]) ).
thf(f140,plain,
( ~ spl12_3
| ~ spl12_2
| ~ spl12_4
| ~ spl12_1 ),
inference(avatar_split_clause,[],[f96,f122,f136,f126,f131]) ).
thf(f141,plain,
( ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 @ sK10 @ sK10 ) )
| spl12_4 ),
inference(forward_demodulation,[],[f137,f71]) ).
thf(f142,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 @ sK11 @ sK11 )
!= $true )
| spl12_3 ),
inference(forward_demodulation,[],[f132,f71]) ).
thf(f145,plain,
( ! [X0: ( sK0 > sK2 ) > sK3 > sK1] :
( ( c_2Equotient_2EQUOTIENT @ ( sK3 > sK1 ) @ ( sK0 > sK2 ) @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ ( c_2Equotient_2E_2D_2D_3E @ sK0 @ sK1 @ sK3 @ sK2 @ sK4 @ sK9 ) @ X0 )
!= $true )
| spl12_1
| ~ spl12_2 ),
inference(unit_resulting_resolution,[],[f89,f123,f128]) ).
thf(f146,plain,
( ! [X0: $tType,X2: X0 > sK3 > sK1,X1: ( sK3 > sK1 ) > X0] :
( $true
!= ( c_2Equotient_2EQUOTIENT @ ( sK3 > sK1 ) @ X0 @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ X1 @ X2 ) )
| ~ spl12_2
| spl12_4 ),
inference(unit_resulting_resolution,[],[f87,f128,f141]) ).
thf(f150,plain,
( ( c_2Equotient_2EQUOTIENT @ ( sK3 > sK1 ) @ ( sK0 > sK2 ) @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ ( c_2Equotient_2E_2D_2D_3E @ sK0 @ sK1 @ sK3 @ sK2 @ sK4 @ sK9 ) @ ( c_2Equotient_2E_2D_2D_3E @ sK3 @ sK2 @ sK0 @ sK1 @ sK6 @ sK8 ) )
= $true ),
inference(unit_resulting_resolution,[],[f78,f84,f79]) ).
thf(f153,plain,
( $false
| spl12_1
| ~ spl12_2 ),
inference(forward_subsumption_resolution,[],[f150,f145]) ).
thf(f154,plain,
( spl12_1
| ~ spl12_2 ),
inference(avatar_contradiction_clause,[],[f153]) ).
thf(f155,plain,
( $false
| ~ spl12_2
| spl12_4 ),
inference(forward_subsumption_resolution,[],[f150,f146]) ).
thf(f156,plain,
( ~ spl12_2
| spl12_4 ),
inference(avatar_contradiction_clause,[],[f155]) ).
thf(f157,plain,
( ( $true
= ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 @ sK10 @ sK10 ) )
| ~ spl12_4 ),
inference(forward_demodulation,[],[f138,f71]) ).
thf(f158,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 @ sK11 @ sK11 )
= $true )
| ~ spl12_3 ),
inference(forward_demodulation,[],[f133,f71]) ).
thf(f159,plain,
( ! [X0: ( sK0 > sK2 ) > sK3 > sK1] :
( ( c_2Equotient_2EQUOTIENT @ ( sK3 > sK1 ) @ ( sK0 > sK2 ) @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ ( c_2Equotient_2E_2D_2D_3E @ sK0 @ sK1 @ sK3 @ sK2 @ sK4 @ sK9 ) @ X0 )
!= $true )
| ~ spl12_1
| spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(unit_resulting_resolution,[],[f86,f157,f158,f127,f124]) ).
thf(f163,plain,
( $false
| ~ spl12_1
| spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(unit_resulting_resolution,[],[f78,f84,f79,f159]) ).
thf(f164,plain,
( ~ spl12_1
| spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f163]) ).
thf(f166,plain,
( ! [X0: $tType,X2: X0 > sK3 > sK1,X1: ( sK3 > sK1 ) > X0] :
( $true
!= ( c_2Equotient_2EQUOTIENT @ ( sK3 > sK1 ) @ X0 @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK3 @ sK1 @ sK5 @ sK7 ) @ X1 @ X2 ) )
| ~ spl12_2
| spl12_3 ),
inference(unit_resulting_resolution,[],[f88,f128,f142]) ).
thf(f169,plain,
( $false
| ~ spl12_2
| spl12_3 ),
inference(unit_resulting_resolution,[],[f78,f84,f79,f166]) ).
thf(f170,plain,
( ~ spl12_2
| spl12_3 ),
inference(avatar_contradiction_clause,[],[f169]) ).
cnf(s1,plain,
( spl12_1
| spl12_2 ),
inference(sat_conversion,[],[f129]) ).
cnf(s2,plain,
( spl12_2
| spl12_3 ),
inference(sat_conversion,[],[f134]) ).
cnf(s3,plain,
( spl12_2
| spl12_4 ),
inference(sat_conversion,[],[f139]) ).
cnf(s4,plain,
( ~ spl12_1
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(sat_conversion,[],[f140]) ).
cnf(s5,plain,
( spl12_1
| ~ spl12_2 ),
inference(sat_conversion,[],[f154]) ).
cnf(s6,plain,
( ~ spl12_2
| spl12_4 ),
inference(sat_conversion,[],[f156]) ).
cnf(s7,plain,
( ~ spl12_1
| spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(sat_conversion,[],[f164]) ).
cnf(s8,plain,
( ~ spl12_2
| spl12_3 ),
inference(sat_conversion,[],[f170]) ).
cnf(s9,plain,
spl12_1,
inference(rat,[],[s1,s5]) ).
cnf(s10,plain,
spl12_2,
inference(rat,[],[s7,s2,s3,s9]) ).
cnf(s11,plain,
spl12_3,
inference(rat,[],[s8,s10]) ).
cnf(s12,plain,
spl12_4,
inference(rat,[],[s6,s10]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s4,s12,s9,s11,s10]) ).
thf(f171,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP009^3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n017.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 19:20:07 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.09/0.25 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
% 0.68/0.42 % (773273)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.68/0.42 % (773279)lrs+10_16_si=on:nwc=1.5:random_seed=3078206617:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.68/0.42 % (773279)Instruction limit reached!
% 0.68/0.42 % (773279)------------------------------
% 0.68/0.42 % (773279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.42 % (773279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.42 % (773279)CaDiCaL version: 2.1.3
% 0.68/0.42 % (773279)Termination reason: Instruction limit
% 0.68/0.42 % (773279)Termination phase: Saturation
% 0.68/0.42 % (773279)Time elapsed: 0.006 s
% 0.68/0.42 % (773279)Peak memory usage: 12 MB
% 0.68/0.42 % (773279)Instructions burned: 18 (million)
% 0.68/0.42 % (773284)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.68/0.42 % (773284)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
% 0.68/0.42 % (773280)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4018802283:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.68/0.42 % (773280)Instruction limit reached!
% 0.68/0.42 % (773280)------------------------------
% 0.68/0.42 % (773280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.42 % (773280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.42 % (773280)CaDiCaL version: 2.1.3
% 0.68/0.42 % (773280)Termination reason: Instruction limit
% 0.68/0.42 % (773280)Termination phase: Preprocessing 3
% 0.68/0.42 % (773280)Time elapsed: 0.002 s
% 0.68/0.42 % (773280)Peak memory usage: 10 MB
% 0.68/0.42 % (773280)Instructions burned: 3 (million)
% 0.68/0.42 % (773284)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=821476062:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.68/0.42 % (773286)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2304939728:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.68/0.42 % (773286)Instruction limit reached!
% 0.68/0.42 % (773286)------------------------------
% 0.68/0.42 % (773286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.42 % (773286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.42 % (773286)CaDiCaL version: 2.1.3
% 0.68/0.42 % (773286)Termination reason: Instruction limit
% 0.68/0.42 % (773286)Termination phase: Preprocessing 3
% 0.68/0.42 % (773286)Time elapsed: 0.001 s
% 0.68/0.42 % (773286)Peak memory usage: 10 MB
% 0.68/0.42 % (773286)Instructions burned: 3 (million)
% 0.68/0.42 % (773281)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=695587084: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_2999 on theBenchmark for (2999ds/634Mi)
% 0.68/0.42 % (773282)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1264724395:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.68/0.42 % (773278)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2030215290:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.68/0.42 % (773283)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3219419726:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.68/0.42 % (773291)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.68/0.42 % (773291)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=657726213:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.68/0.42 % (773289)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1938614635:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.68/0.42 % (773291)Instruction limit reached!
% 0.68/0.42 % (773291)------------------------------
% 0.68/0.42 % (773291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.42 % (773291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.42 % (773291)CaDiCaL version: 2.1.3
% 0.68/0.42 % (773291)Termination reason: Instruction limit
% 0.68/0.42 % (773291)Termination phase: Function definition elimination
% 0.68/0.42 % (773291)Time elapsed: 0.002 s
% 0.68/0.42 % (773291)Peak memory usage: 10 MB
% 0.68/0.42 % (773291)Instructions burned: 8 (million)
% 0.68/0.42 % (773289)Instruction limit reached!
% 0.68/0.42 % (773289)------------------------------
% 0.68/0.42 % (773289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.42 % (773289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.42 % (773289)CaDiCaL version: 2.1.3
% 0.68/0.42 % (773289)Termination reason: Instruction limit
% 0.68/0.42 % (773289)Termination phase: Saturation
% 0.68/0.42 % (773289)Time elapsed: 0.003 s
% 0.68/0.42 % (773289)Peak memory usage: 11 MB
% 0.68/0.42 % (773289)Instructions burned: 6 (million)
% 0.68/0.42 % (773298)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2167983833:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.68/0.42 % (773298)Instruction limit reached!
% 0.68/0.42 % (773298)------------------------------
% 0.68/0.42 % (773298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.42 % (773298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.42 % (773298)CaDiCaL version: 2.1.3
% 0.68/0.42 % (773298)Termination reason: Instruction limit
% 0.68/0.42 % (773298)Termination phase: Saturation
% 0.68/0.42 % (773298)Time elapsed: 0.005 s
% 0.68/0.42 % (773298)Peak memory usage: 12 MB
% 0.68/0.42 % (773298)Instructions burned: 14 (million)
% 0.68/0.42 % (773299)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
% 0.68/0.42 % (773299)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.68/0.42 % (773282)Instruction limit reached!
% 0.68/0.42 % (773282)------------------------------
% 0.68/0.42 % (773282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.42 % (773282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.42 % (773282)CaDiCaL version: 2.1.3
% 0.68/0.42 % (773282)Termination reason: Instruction limit
% 0.68/0.42 % (773282)Termination phase: Saturation
% 0.68/0.42 % (773282)Time elapsed: 0.031 s
% 0.68/0.42 % (773282)Peak memory usage: 12 MB
% 0.68/0.42 % (773282)Instructions burned: 25 (million)
% 0.68/0.42 % (773299)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3021903246:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.68/0.42 % (773301)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=578103926:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.68/0.42 % (773302)lrs+10_1_si=on:cs=on:random_seed=2820127734:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.68/0.42 % (773302)Instruction limit reached!
% 0.68/0.42 % (773302)------------------------------
% 0.68/0.42 % (773302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.42 % (773302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.42 % (773302)CaDiCaL version: 2.1.3
% 0.68/0.42 % (773302)Termination reason: Instruction limit
% 0.68/0.42 % (773302)Termination phase: Saturation
% 0.68/0.42 % (773302)Time elapsed: 0.004 s
% 0.68/0.42 % (773302)Peak memory usage: 11 MB
% 0.68/0.42 % (773302)Instructions burned: 8 (million)
% 0.68/0.42 % (773283)Instruction limit reached!
% 0.68/0.42 % (773283)------------------------------
% 0.68/0.42 % (773283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.42 % (773283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.42 % (773283)CaDiCaL version: 2.1.3
% 0.68/0.42 % (773283)Termination reason: Instruction limit
% 0.68/0.42 % (773283)Termination phase: Saturation
% 0.68/0.42 % (773283)Time elapsed: 0.059 s
% 0.68/0.42 % (773283)Peak memory usage: 13 MB
% 0.68/0.42 % (773283)Instructions burned: 76 (million)
% 0.68/0.42 % (773299)Instruction limit reached!
% 0.68/0.42 % (773299)------------------------------
% 0.68/0.42 % (773299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.42 % (773299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.42 % (773299)CaDiCaL version: 2.1.3
% 0.68/0.42 % (773299)Termination reason: Instruction limit
% 0.68/0.42 % (773299)Termination phase: Saturation
% 0.68/0.42 % (773299)Time elapsed: 0.027 s
% 0.68/0.42 % (773299)Peak memory usage: 12 MB
% 0.68/0.42 % (773299)Instructions burned: 28 (million)
% 0.68/0.42 % (773284)Instruction limit reached!
% 0.68/0.42 % (773284)------------------------------
% 0.68/0.42 % (773284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.42 % (773284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.42 % (773284)CaDiCaL version: 2.1.3
% 0.68/0.42 % (773284)Termination reason: Instruction limit
% 0.68/0.42 % (773284)Termination phase: Saturation
% 0.68/0.42 % (773284)Time elapsed: 0.092 s
% 0.68/0.42 % (773284)Peak memory usage: 13 MB
% 0.68/0.42 % (773284)Instructions burned: 158 (million)
% 0.68/0.42 % (773306)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.68/0.42 % (773306)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=106426920:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.68/0.42 % (773301)Instruction limit reached!
% 0.68/0.42 % (773301)------------------------------
% 0.68/0.42 % (773301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.42 % (773301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.42 % (773301)CaDiCaL version: 2.1.3
% 0.68/0.42 % (773301)Termination reason: Instruction limit
% 0.68/0.42 % (773301)Termination phase: Saturation
% 0.68/0.42 % (773301)Time elapsed: 0.045 s
% 0.68/0.42 % (773301)Peak memory usage: 12 MB
% 0.68/0.42 % (773301)Instructions burned: 86 (million)
% 0.68/0.42 % (773278)Instruction limit reached!
% 0.68/0.42 % (773278)------------------------------
% 0.68/0.42 % (773278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.42 % (773278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.42 % (773278)CaDiCaL version: 2.1.3
% 0.68/0.42 % (773278)Termination reason: Instruction limit
% 0.68/0.42 % (773278)Termination phase: Saturation
% 0.68/0.42 % (773278)Time elapsed: 0.083 s
% 0.68/0.42 % (773278)Peak memory usage: 12 MB
% 0.68/0.42 % (773278)Instructions burned: 87 (million)
% 0.68/0.42 % (773308)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1478167519:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.68/0.42 % (773306)Instruction limit reached!
% 0.68/0.42 % (773306)------------------------------
% 0.68/0.42 % (773306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.42 % (773306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.42 % (773306)CaDiCaL version: 2.1.3
% 0.68/0.42 % (773306)Termination reason: Instruction limit
% 0.68/0.42 % (773306)Termination phase: Property scanning
% 0.68/0.42 % (773306)Time elapsed: 0.003 s
% 0.68/0.42 % (773306)Peak memory usage: 10 MB
% 0.68/0.42 % (773306)Instructions burned: 6 (million)
% 0.68/0.42 % (773307)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3292857310:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.68/0.42 % (773308)Refutation not found, incomplete strategy
% 0.68/0.42 % (773308)------------------------------
% 0.68/0.42 % (773308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.42 % (773308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.42 % (773308)CaDiCaL version: 2.1.3
% 0.68/0.42 % (773308)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.42 % (773308)Time elapsed: 0.004 s
% 0.68/0.42 % (773308)Peak memory usage: 12 MB
% 0.68/0.42 % (773308)Instructions burned: 11 (million)
% 0.68/0.42 % (773308)------------------------------
% 0.68/0.42 % (773308)------------------------------
% 0.68/0.42 % (773314)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3992530196:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.68/0.42 % (773307) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-773273-773307"...
% 0.68/0.42 % (773307)...printing done.
% 0.68/0.42 % (773307)Refutation found. Thanks to Tanya!
% 0.68/0.42 % SZS status Theorem for theBenchmark
% 0.68/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.68/0.42 % (773307)------------------------------
% 0.68/0.42 % (773307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.42 % (773307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.42 % (773307)CaDiCaL version: 2.1.3
% 0.68/0.42 % (773307)Termination reason: Refutation
% 0.68/0.42 % (773307)Time elapsed: 0.018 s
% 0.68/0.42 % (773307)Peak memory usage: 13 MB
% 0.68/0.42 % (773307)Instructions burned: 30 (million)
% 0.68/0.42 % (773273)Success in time 0.158 s
% 0.68/0.42 % Vampire exiting
%------------------------------------------------------------------------------