%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO250^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:53:46 AM UTC 2026
% Result : Theorem 1.87s 1.55s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 696 ( 695 equ; 0 cnn)
% Maximal formula atoms : 90 ( 69 avg)
% Number of connectives : 3363 ( 565 ~; 135 |; 526 &;2112 @)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 87 ( 59 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 1 usr; 1 con; 0-13 aty)
% Number of variables : 105 ( 0 ^; 65 !; 40 ?; 105 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_3,type,
sK0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(f80,plain,
$false,
inference(equality_resolution,[status(thm)],[f79]) ).
thf(f79,plain,
! [X2: $i,X4: $i] : ( X2 != X4 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
thf(f9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ( X2 != X4 )
& ( X4 != X10 )
& ( X1 != X9 )
& ( X0 != X6 )
& ( X1 != X7 )
& ( X4 != X6 )
& ( X9 != X11 )
& ( X7 != X8 )
& ( X5 != X7 )
& ( X8 != X9 )
& ( X6 != X9 )
& ( X2 != X8 )
& ( X5 != X11 )
& ( X2 != X11 )
& ( X9 != X10 )
& ( X6 != X10 )
& ( X7 != X11 )
& ( X0 != X10 )
& ( X0 != X1 )
& ( X2 != X5 )
& ( X3 != X7 )
& ( X5 != X10 )
& ( X3 != X11 )
& ( X0 != X11 )
& ( X2 != X9 )
& ( X1 != X8 )
& ( X0 != X4 )
& ( X5 != X9 )
& ( X10 != X11 )
& ( X4 != X8 )
& ( X8 != X11 )
& ( X1 != X10 )
& ( X0 != X8 )
& ( X7 != X9 )
& ( X0 != X2 )
& ( X4 != X7 )
& ( X3 != X9 )
& ( X1 != X4 )
& ( X5 != X6 )
& ( X2 != X10 )
& ( X4 != X11 )
& ( X0 != X9 )
& ( X2 != X7 )
& ( X0 != X7 )
& ( X8 != X10 )
& ( X6 != X7 )
& ( X1 != X2 )
& ( X4 != X5 )
& ( X1 != X6 )
& ( X1 != X11 )
& ( X6 != X8 )
& ( X0 != X5 )
& ( X6 != X11 )
& ( X1 != X5 )
& ( X7 != X10 )
& ( X4 != X9 )
& ( X5 != X8 )
& ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10 ) )
& ( ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 ) ) )
& ( ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5 ) ) )
& ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7 ) )
& ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 ) )
& ( ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7 ) ) )
& ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6 ) )
& ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5 ) )
& ( ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8 ) ) )
& ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3 ) )
& ( ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 ) ) )
& ( ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10 ) ) )
& ( X2 != X6 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8]) ).
thf(f8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ? [X12: $i > $i] :
( ( ( X12 @ X8 )
= ( X12 @ X10 ) )
& ( ( ( X12 @ X1 )
!= ( X12 @ X4 ) )
| ( ( X12 @ X3 )
!= ( X12 @ X11 ) )
| ( ( X12 @ X10 )
= ( X12 @ X5 ) )
| ( ( X12 @ X8 )
= ( X12 @ X6 ) )
| ( ( X12 @ X1 )
!= ( X12 @ X3 ) ) )
& ( ( ( X12 @ X8 )
!= ( X12 @ X6 ) )
| ( ( X12 @ X1 )
!= ( X12 @ X4 ) )
| ( ( X12 @ X3 )
= ( X12 @ X9 ) )
| ( ( X12 @ X4 )
!= ( X12 @ X5 ) )
| ( ( X12 @ X0 )
!= ( X12 @ X5 ) ) )
& ( ( X12 @ X7 )
= ( X12 @ X9 ) )
& ( ( X12 @ X1 )
= ( X12 @ X4 ) )
& ( ( ( X12 @ X0 )
!= ( X12 @ X5 ) )
| ( ( X12 @ X8 )
= ( X12 @ X6 ) )
| ( ( X12 @ X11 )
= ( X12 @ X4 ) )
| ( ( X12 @ X7 )
!= ( X12 @ X9 ) ) )
& ( ( X12 @ X2 )
= ( X12 @ X6 ) )
& ( ( X12 @ X0 )
= ( X12 @ X5 ) )
& ( ( ( X12 @ X3 )
!= ( X12 @ X11 ) )
| ( ( X12 @ X0 )
= ( X12 @ X1 ) )
| ( ( X12 @ X7 )
!= ( X12 @ X9 ) )
| ( ( X12 @ X8 )
!= ( X12 @ X6 ) ) )
& ( ( X12 @ X3 )
= ( X12 @ X11 ) )
& ( ( ( X12 @ X2 )
!= ( X12 @ X6 ) )
| ( ( X12 @ X8 )
!= ( X12 @ X10 ) )
| ( ( X12 @ X3 )
!= ( X12 @ X9 ) )
| ( ( X12 @ X0 )
!= ( X12 @ X1 ) ) )
& ( ( ( X12 @ X2 )
!= ( X12 @ X6 ) )
| ( ( X12 @ X11 )
!= ( X12 @ X4 ) )
| ( ( X12 @ X7 )
!= ( X12 @ X9 ) )
| ( ( X12 @ X10 )
!= ( X12 @ X5 ) ) ) )
=> ( ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10 ) )
& ( ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 ) ) )
& ( ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5 ) ) )
& ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7 ) )
& ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 ) )
& ( ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7 ) ) )
& ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6 ) )
& ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5 ) )
& ( ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8 ) ) )
& ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11 )
= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3 ) )
& ( ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 ) ) )
& ( ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7 ) )
| ( ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5 )
!= ( sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ( X2 != X4 )
& ( X4 != X10 )
& ( X1 != X9 )
& ( X0 != X6 )
& ( X1 != X7 )
& ( X4 != X6 )
& ( X9 != X11 )
& ( X7 != X8 )
& ( X5 != X7 )
& ( X8 != X9 )
& ( X6 != X9 )
& ( X2 != X8 )
& ( X5 != X11 )
& ( X2 != X11 )
& ( X9 != X10 )
& ( X6 != X10 )
& ( X7 != X11 )
& ( X0 != X10 )
& ( X0 != X1 )
& ( X2 != X5 )
& ( X3 != X7 )
& ( X5 != X10 )
& ( X3 != X11 )
& ( X0 != X11 )
& ( X2 != X9 )
& ( X1 != X8 )
& ( X0 != X4 )
& ( X5 != X9 )
& ( X10 != X11 )
& ( X4 != X8 )
& ( X8 != X11 )
& ( X1 != X10 )
& ( X0 != X8 )
& ( X7 != X9 )
& ( X0 != X2 )
& ( X4 != X7 )
& ( X3 != X9 )
& ( X1 != X4 )
& ( X5 != X6 )
& ( X2 != X10 )
& ( X4 != X11 )
& ( X0 != X9 )
& ( X2 != X7 )
& ( X0 != X7 )
& ( X8 != X10 )
& ( X6 != X7 )
& ( X1 != X2 )
& ( X4 != X5 )
& ( X1 != X6 )
& ( X1 != X11 )
& ( X6 != X8 )
& ( X0 != X5 )
& ( X6 != X11 )
& ( X1 != X5 )
& ( X7 != X10 )
& ( X4 != X9 )
& ( X5 != X8 )
& ? [X12: $i > $i] :
( ( ( X12 @ X8 )
= ( X12 @ X10 ) )
& ( ( ( X12 @ X1 )
!= ( X12 @ X4 ) )
| ( ( X12 @ X3 )
!= ( X12 @ X11 ) )
| ( ( X12 @ X10 )
= ( X12 @ X5 ) )
| ( ( X12 @ X8 )
= ( X12 @ X6 ) )
| ( ( X12 @ X1 )
!= ( X12 @ X3 ) ) )
& ( ( ( X12 @ X8 )
!= ( X12 @ X6 ) )
| ( ( X12 @ X1 )
!= ( X12 @ X4 ) )
| ( ( X12 @ X3 )
= ( X12 @ X9 ) )
| ( ( X12 @ X4 )
!= ( X12 @ X5 ) )
| ( ( X12 @ X0 )
!= ( X12 @ X5 ) ) )
& ( ( X12 @ X7 )
= ( X12 @ X9 ) )
& ( ( X12 @ X1 )
= ( X12 @ X4 ) )
& ( ( ( X12 @ X0 )
!= ( X12 @ X5 ) )
| ( ( X12 @ X8 )
= ( X12 @ X6 ) )
| ( ( X12 @ X11 )
= ( X12 @ X4 ) )
| ( ( X12 @ X7 )
!= ( X12 @ X9 ) ) )
& ( ( X12 @ X2 )
= ( X12 @ X6 ) )
& ( ( X12 @ X0 )
= ( X12 @ X5 ) )
& ( ( ( X12 @ X3 )
!= ( X12 @ X11 ) )
| ( ( X12 @ X0 )
= ( X12 @ X1 ) )
| ( ( X12 @ X7 )
!= ( X12 @ X9 ) )
| ( ( X12 @ X8 )
!= ( X12 @ X6 ) ) )
& ( ( X12 @ X3 )
= ( X12 @ X11 ) )
& ( ( ( X12 @ X2 )
!= ( X12 @ X6 ) )
| ( ( X12 @ X8 )
!= ( X12 @ X10 ) )
| ( ( X12 @ X3 )
!= ( X12 @ X9 ) )
| ( ( X12 @ X0 )
!= ( X12 @ X1 ) ) )
& ( ( ( X12 @ X2 )
!= ( X12 @ X6 ) )
| ( ( X12 @ X11 )
!= ( X12 @ X4 ) )
| ( ( X12 @ X7 )
!= ( X12 @ X9 ) )
| ( ( X12 @ X10 )
!= ( X12 @ X5 ) ) ) )
& ( X2 != X6 ) ),
inference(rectify,[status(thm)],[f6]) ).
thf(f6,plain,
! [X5: $i,X11: $i,X10: $i,X9: $i,X0: $i,X4: $i,X1: $i,X2: $i,X7: $i,X8: $i,X6: $i,X3: $i] :
( ( X0 != X10 )
& ( X0 != X6 )
& ( X8 != X11 )
& ( X1 != X5 )
& ( X2 != X11 )
& ( X0 != X1 )
& ( X3 != X8 )
& ( X2 != X7 )
& ( X2 != X4 )
& ( X7 != X8 )
& ( X1 != X8 )
& ( X7 != X10 )
& ( X3 != X4 )
& ( X3 != X10 )
& ( X6 != X8 )
& ( X1 != X6 )
& ( X2 != X3 )
& ( X5 != X6 )
& ( X5 != X11 )
& ( X4 != X10 )
& ( X2 != X9 )
& ( X4 != X6 )
& ( X3 != X9 )
& ( X3 != X5 )
& ( X8 != X10 )
& ( X7 != X11 )
& ( X0 != X5 )
& ( X4 != X8 )
& ( X3 != X6 )
& ( X0 != X7 )
& ( X3 != X7 )
& ( X6 != X11 )
& ( X5 != X7 )
& ( X2 != X8 )
& ( X5 != X10 )
& ( X0 != X2 )
& ( X8 != X9 )
& ( X0 != X11 )
& ( X1 != X4 )
& ( X6 != X10 )
& ( X0 != X3 )
& ( X5 != X8 )
& ( X2 != X10 )
& ( X2 != X5 )
& ( X6 != X7 )
& ( X1 != X2 )
& ( X10 != X11 )
& ( X0 != X4 )
& ( X1 != X11 )
& ( X3 != X11 )
& ( X1 != X7 )
& ( X4 != X5 )
& ( X1 != X3 )
& ( X4 != X11 )
& ( X2 != X6 )
& ( X0 != X8 )
& ( X4 != X7 )
& ? [X12: $i > $i] :
( ( ( X12 @ X7 )
= ( X12 @ X6 ) )
& ( ( ( X12 @ X0 )
!= ( X12 @ X11 ) )
| ( ( X12 @ X3 )
!= ( X12 @ X9 ) )
| ( ( X12 @ X4 )
= ( X12 @ X6 ) )
| ( ( X12 @ X1 )
= ( X12 @ X7 ) )
| ( ( X12 @ X11 )
!= ( X12 @ X9 ) ) )
& ( ( ( X12 @ X1 )
!= ( X12 @ X7 ) )
| ( ( X12 @ X0 )
!= ( X12 @ X11 ) )
| ( ( X12 @ X8 )
= ( X12 @ X9 ) )
| ( ( X12 @ X0 )
!= ( X12 @ X4 ) )
| ( ( X12 @ X4 )
!= ( X12 @ X5 ) ) )
& ( ( X12 @ X2 )
= ( X12 @ X8 ) )
& ( ( X12 @ X0 )
= ( X12 @ X11 ) )
& ( ( ( X12 @ X4 )
!= ( X12 @ X5 ) )
| ( ( X12 @ X1 )
= ( X12 @ X7 ) )
| ( ( X12 @ X0 )
= ( X12 @ X3 ) )
| ( ( X12 @ X2 )
!= ( X12 @ X8 ) ) )
& ( ( X12 @ X1 )
= ( X12 @ X10 ) )
& ( ( X12 @ X4 )
= ( X12 @ X5 ) )
& ( ( ( X12 @ X3 )
!= ( X12 @ X9 ) )
| ( ( X12 @ X11 )
= ( X12 @ X5 ) )
| ( ( X12 @ X2 )
!= ( X12 @ X8 ) )
| ( ( X12 @ X1 )
!= ( X12 @ X7 ) ) )
& ( ( X12 @ X3 )
= ( X12 @ X9 ) )
& ( ( ( X12 @ X1 )
!= ( X12 @ X10 ) )
| ( ( X12 @ X7 )
!= ( X12 @ X6 ) )
| ( ( X12 @ X8 )
!= ( X12 @ X9 ) )
| ( ( X12 @ X11 )
!= ( X12 @ X5 ) ) )
& ( ( ( X12 @ X1 )
!= ( X12 @ X10 ) )
| ( ( X12 @ X0 )
!= ( X12 @ X3 ) )
| ( ( X12 @ X2 )
!= ( X12 @ X8 ) )
| ( ( X12 @ X4 )
!= ( X12 @ X6 ) ) ) )
& ( X1 != X10 ) ),
inference(flattening,[status(thm)],[f5]) ).
thf(f5,plain,
! [X9: $i,X11: $i,X4: $i,X0: $i,X8: $i,X10: $i,X3: $i,X5: $i,X1: $i,X6: $i,X7: $i,X2: $i] :
( ? [X12: $i > $i] :
( ( ( X12 @ X7 )
= ( X12 @ X6 ) )
& ( ( X12 @ X4 )
= ( X12 @ X5 ) )
& ( ( X12 @ X0 )
= ( X12 @ X11 ) )
& ( ( X12 @ X3 )
= ( X12 @ X9 ) )
& ( ( X12 @ X2 )
= ( X12 @ X8 ) )
& ( ( X12 @ X1 )
= ( X12 @ X10 ) )
& ( ( ( X12 @ X8 )
!= ( X12 @ X9 ) )
| ( ( X12 @ X11 )
!= ( X12 @ X5 ) )
| ( ( X12 @ X7 )
!= ( X12 @ X6 ) )
| ( ( X12 @ X1 )
!= ( X12 @ X10 ) ) )
& ( ( ( X12 @ X4 )
!= ( X12 @ X6 ) )
| ( ( X12 @ X1 )
!= ( X12 @ X10 ) )
| ( ( X12 @ X0 )
!= ( X12 @ X3 ) )
| ( ( X12 @ X2 )
!= ( X12 @ X8 ) ) )
& ( ( ( X12 @ X4 )
= ( X12 @ X6 ) )
| ( ( X12 @ X11 )
!= ( X12 @ X9 ) )
| ( ( X12 @ X3 )
!= ( X12 @ X9 ) )
| ( ( X12 @ X1 )
= ( X12 @ X7 ) )
| ( ( X12 @ X0 )
!= ( X12 @ X11 ) ) )
& ( ( ( X12 @ X1 )
= ( X12 @ X7 ) )
| ( ( X12 @ X4 )
!= ( X12 @ X5 ) )
| ( ( X12 @ X0 )
= ( X12 @ X3 ) )
| ( ( X12 @ X2 )
!= ( X12 @ X8 ) ) )
& ( ( ( X12 @ X1 )
!= ( X12 @ X7 ) )
| ( ( X12 @ X4 )
!= ( X12 @ X5 ) )
| ( ( X12 @ X8 )
= ( X12 @ X9 ) )
| ( ( X12 @ X0 )
!= ( X12 @ X11 ) )
| ( ( X12 @ X0 )
!= ( X12 @ X4 ) ) )
& ( ( ( X12 @ X11 )
= ( X12 @ X5 ) )
| ( ( X12 @ X2 )
!= ( X12 @ X8 ) )
| ( ( X12 @ X3 )
!= ( X12 @ X9 ) )
| ( ( X12 @ X1 )
!= ( X12 @ X7 ) ) ) )
& ( X0 != X2 )
& ( X1 != X6 )
& ( X5 != X8 )
& ( X7 != X8 )
& ( X0 != X5 )
& ( X4 != X5 )
& ( X0 != X3 )
& ( X6 != X8 )
& ( X0 != X6 )
& ( X3 != X10 )
& ( X1 != X2 )
& ( X3 != X4 )
& ( X1 != X5 )
& ( X4 != X6 )
& ( X3 != X11 )
& ( X5 != X10 )
& ( X0 != X10 )
& ( X2 != X8 )
& ( X2 != X3 )
& ( X3 != X7 )
& ( X8 != X9 )
& ( X1 != X3 )
& ( X1 != X7 )
& ( X0 != X4 )
& ( X3 != X6 )
& ( X7 != X11 )
& ( X2 != X10 )
& ( X5 != X7 )
& ( X7 != X10 )
& ( X6 != X7 )
& ( X1 != X8 )
& ( X0 != X7 )
& ( X3 != X9 )
& ( X1 != X10 )
& ( X0 != X8 )
& ( X6 != X10 )
& ( X2 != X11 )
& ( X5 != X11 )
& ( X2 != X5 )
& ( X5 != X6 )
& ( X0 != X1 )
& ( X8 != X11 )
& ( X6 != X11 )
& ( X4 != X8 )
& ( X2 != X4 )
& ( X4 != X11 )
& ( X1 != X11 )
& ( X3 != X8 )
& ( X2 != X7 )
& ( X0 != X11 )
& ( X4 != X10 )
& ( X4 != X7 )
& ( X10 != X11 )
& ( X2 != X6 )
& ( X2 != X9 )
& ( X8 != X10 )
& ( X3 != X5 )
& ( X1 != X4 ) ),
inference(ennf_transformation,[status(thm)],[f4]) ).
thf(f4,plain,
~ ? [X9: $i,X11: $i,X4: $i,X0: $i,X8: $i,X10: $i,X3: $i,X5: $i,X1: $i,X6: $i,X7: $i,X2: $i] :
( ( ( X0 != X2 )
& ( X1 != X6 )
& ( X5 != X8 )
& ( X7 != X8 )
& ( X0 != X5 )
& ( X4 != X5 )
& ( X0 != X3 )
& ( X6 != X8 )
& ( X0 != X6 )
& ( X3 != X10 )
& ( X1 != X2 )
& ( X3 != X4 )
& ( X1 != X5 )
& ( X4 != X6 )
& ( X3 != X11 )
& ( X5 != X10 )
& ( X0 != X10 )
& ( X2 != X8 )
& ( X2 != X3 )
& ( X3 != X7 )
& ( X8 != X9 )
& ( X1 != X3 )
& ( X1 != X7 )
& ( X0 != X4 )
& ( X3 != X6 )
& ( X7 != X11 )
& ( X2 != X10 )
& ( X5 != X7 )
& ( X7 != X10 )
& ( X6 != X7 )
& ( X1 != X8 )
& ( X0 != X7 )
& ( X3 != X9 )
& ( X1 != X10 )
& ( X0 != X8 )
& ( X6 != X10 )
& ( X2 != X11 )
& ( X5 != X11 )
& ( X2 != X5 )
& ( X5 != X6 )
& ( X0 != X1 )
& ( X8 != X11 )
& ( X6 != X11 )
& ( X4 != X8 )
& ( X2 != X4 )
& ( X4 != X11 )
& ( X1 != X11 )
& ( X3 != X8 )
& ( X2 != X7 )
& ( X0 != X11 )
& ( X4 != X10 )
& ( X4 != X7 )
& ( X10 != X11 )
& ( X2 != X6 )
& ( X2 != X9 )
& ( X8 != X10 )
& ( X3 != X5 )
& ( X1 != X4 ) )
=> ! [X12: $i > $i] :
( ( ( ( ( ( X12 @ X11 )
= ( X12 @ X5 ) )
& ( ( X12 @ X7 )
= ( X12 @ X6 ) )
& ( ( X12 @ X1 )
= ( X12 @ X10 ) ) )
=> ( ( X12 @ X8 )
!= ( X12 @ X9 ) ) )
& ( ( ( ( X12 @ X1 )
= ( X12 @ X10 ) )
& ( ( X12 @ X0 )
= ( X12 @ X3 ) )
& ( ( X12 @ X2 )
= ( X12 @ X8 ) ) )
=> ( ( X12 @ X4 )
!= ( X12 @ X6 ) ) )
& ( ( ( ( X12 @ X11 )
= ( X12 @ X9 ) )
& ( ( X12 @ X3 )
= ( X12 @ X9 ) )
& ( ( X12 @ X1 )
!= ( X12 @ X7 ) )
& ( ( X12 @ X0 )
= ( X12 @ X11 ) ) )
=> ( ( X12 @ X4 )
= ( X12 @ X6 ) ) )
& ( ( ( ( X12 @ X4 )
= ( X12 @ X5 ) )
& ( ( X12 @ X0 )
!= ( X12 @ X3 ) )
& ( ( X12 @ X2 )
= ( X12 @ X8 ) ) )
=> ( ( X12 @ X1 )
= ( X12 @ X7 ) ) )
& ( ( ( ( X12 @ X4 )
= ( X12 @ X5 ) )
& ( ( X12 @ X8 )
!= ( X12 @ X9 ) )
& ( ( X12 @ X0 )
= ( X12 @ X11 ) )
& ( ( X12 @ X0 )
= ( X12 @ X4 ) ) )
=> ( ( X12 @ X1 )
!= ( X12 @ X7 ) ) )
& ( ( ( ( X12 @ X2 )
= ( X12 @ X8 ) )
& ( ( X12 @ X3 )
= ( X12 @ X9 ) )
& ( ( X12 @ X1 )
= ( X12 @ X7 ) ) )
=> ( ( X12 @ X11 )
= ( X12 @ X5 ) ) ) )
=> ( ( ( X12 @ X7 )
!= ( X12 @ X6 ) )
| ( ( X12 @ X4 )
!= ( X12 @ X5 ) )
| ( ( X12 @ X0 )
!= ( X12 @ X11 ) )
| ( ( X12 @ X3 )
!= ( X12 @ X9 ) )
| ( ( X12 @ X2 )
!= ( X12 @ X8 ) )
| ( ( X12 @ X1 )
!= ( X12 @ X10 ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X5: $i,X11: $i,X1: $i,X2: $i,X6: $i,X7: $i,X9: $i,X8: $i,X0: $i,X3: $i,X10: $i,X4: $i] :
( ( ( X0 != X8 )
& ( X2 != X10 )
& ( X7 != X9 )
& ( X5 != X10 )
& ( X6 != X8 )
& ( X4 != X8 )
& ( X1 != X2 )
& ( X0 != X11 )
& ( X6 != X11 )
& ( X4 != X10 )
& ( X0 != X3 )
& ( X5 != X8 )
& ( X1 != X8 )
& ( X9 != X11 )
& ( X2 != X5 )
& ( X5 != X9 )
& ( X4 != X11 )
& ( X7 != X10 )
& ( X6 != X10 )
& ( X2 != X6 )
& ( X2 != X7 )
& ( X0 != X2 )
& ( X10 != X11 )
& ( X0 != X1 )
& ( X2 != X9 )
& ( X0 != X4 )
& ( X5 != X11 )
& ( X7 != X8 )
& ( X1 != X6 )
& ( X8 != X10 )
& ( X0 != X5 )
& ( X0 != X6 )
& ( X1 != X5 )
& ( X8 != X11 )
& ( X2 != X4 )
& ( X4 != X6 )
& ( X0 != X10 )
& ( X8 != X9 )
& ( X1 != X7 )
& ( X2 != X8 )
& ( X2 != X3 )
& ( X2 != X11 )
& ( X5 != X7 )
& ( X4 != X5 )
& ( X6 != X9 )
& ( X0 != X7 )
& ( X4 != X7 )
& ( X4 != X9 )
& ( X5 != X6 )
& ( X9 != X10 )
& ( X1 != X4 )
& ( X0 != X9 )
& ( X1 != X10 )
& ( X1 != X3 )
& ( X1 != X11 )
& ( X7 != X11 )
& ( X6 != X7 )
& ( X1 != X9 ) )
=> ! [X12: $i > $i] :
( ( ( ( ( ( X12 @ X11 )
= ( X12 @ X10 ) )
& ( ( X12 @ X0 )
= ( X12 @ X1 ) )
& ( ( X12 @ X2 )
= ( X12 @ X5 ) ) )
=> ( ( X12 @ X6 )
!= ( X12 @ X9 ) ) )
& ( ( ( ( X12 @ X0 )
!= ( X12 @ X3 ) )
& ( ( X12 @ X7 )
= ( X12 @ X6 ) )
& ( ( X12 @ X4 )
= ( X12 @ X5 ) )
& ( ( X12 @ X5 )
= ( X12 @ X6 ) ) )
=> ( ( X12 @ X8 )
!= ( X12 @ X11 ) ) )
& ( ( ( ( X12 @ X4 )
= ( X12 @ X5 ) )
& ( ( X12 @ X3 )
= ( X12 @ X4 ) )
& ( ( X12 @ X2 )
= ( X12 @ X3 ) )
& ( ( X12 @ X8 )
!= ( X12 @ X11 ) ) )
=> ( ( X12 @ X6 )
= ( X12 @ X9 ) ) )
& ( ( ( ( X12 @ X2 )
= ( X12 @ X3 ) )
& ( ( X12 @ X8 )
= ( X12 @ X11 ) )
& ( ( X12 @ X0 )
= ( X12 @ X1 ) ) )
=> ( ( X12 @ X4 )
= ( X12 @ X7 ) ) )
& ( ( ( ( X12 @ X7 )
= ( X12 @ X6 ) )
& ( ( X12 @ X2 )
!= ( X12 @ X5 ) )
& ( ( X12 @ X0 )
= ( X12 @ X1 ) ) )
=> ( ( X12 @ X8 )
= ( X12 @ X11 ) ) )
& ( ( ( ( X12 @ X11 )
= ( X12 @ X10 ) )
& ( ( X12 @ X4 )
= ( X12 @ X7 ) )
& ( ( X12 @ X8 )
= ( X12 @ X9 ) ) )
=> ( ( X12 @ X0 )
!= ( X12 @ X3 ) ) ) )
=> ( ( ( X12 @ X4 )
!= ( X12 @ X5 ) )
| ( ( X12 @ X0 )
!= ( X12 @ X1 ) )
| ( ( X12 @ X7 )
!= ( X12 @ X6 ) )
| ( ( X12 @ X2 )
!= ( X12 @ X3 ) )
| ( ( X12 @ X8 )
!= ( X12 @ X9 ) )
| ( ( X12 @ X11 )
!= ( X12 @ X10 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
? [X5: $i,X11: $i,X1: $i,X2: $i,X6: $i,X7: $i,X9: $i,X8: $i,X0: $i,X3: $i,X10: $i,X4: $i] :
( ( ( X0 != X8 )
& ( X2 != X10 )
& ( X7 != X9 )
& ( X5 != X10 )
& ( X6 != X8 )
& ( X4 != X8 )
& ( X1 != X2 )
& ( X0 != X11 )
& ( X6 != X11 )
& ( X4 != X10 )
& ( X0 != X3 )
& ( X5 != X8 )
& ( X1 != X8 )
& ( X9 != X11 )
& ( X2 != X5 )
& ( X5 != X9 )
& ( X4 != X11 )
& ( X7 != X10 )
& ( X6 != X10 )
& ( X2 != X6 )
& ( X2 != X7 )
& ( X0 != X2 )
& ( X10 != X11 )
& ( X0 != X1 )
& ( X2 != X9 )
& ( X0 != X4 )
& ( X5 != X11 )
& ( X7 != X8 )
& ( X1 != X6 )
& ( X8 != X10 )
& ( X0 != X5 )
& ( X0 != X6 )
& ( X1 != X5 )
& ( X8 != X11 )
& ( X2 != X4 )
& ( X4 != X6 )
& ( X0 != X10 )
& ( X8 != X9 )
& ( X1 != X7 )
& ( X2 != X8 )
& ( X2 != X3 )
& ( X2 != X11 )
& ( X5 != X7 )
& ( X4 != X5 )
& ( X6 != X9 )
& ( X0 != X7 )
& ( X4 != X7 )
& ( X4 != X9 )
& ( X5 != X6 )
& ( X9 != X10 )
& ( X1 != X4 )
& ( X0 != X9 )
& ( X1 != X10 )
& ( X1 != X3 )
& ( X1 != X11 )
& ( X7 != X11 )
& ( X6 != X7 )
& ( X1 != X9 ) )
=> ! [X12: $i > $i] :
( ( ( ( ( ( X12 @ X11 )
= ( X12 @ X10 ) )
& ( ( X12 @ X0 )
= ( X12 @ X1 ) )
& ( ( X12 @ X2 )
= ( X12 @ X5 ) ) )
=> ( ( X12 @ X6 )
!= ( X12 @ X9 ) ) )
& ( ( ( ( X12 @ X0 )
!= ( X12 @ X3 ) )
& ( ( X12 @ X7 )
= ( X12 @ X6 ) )
& ( ( X12 @ X4 )
= ( X12 @ X5 ) )
& ( ( X12 @ X5 )
= ( X12 @ X6 ) ) )
=> ( ( X12 @ X8 )
!= ( X12 @ X11 ) ) )
& ( ( ( ( X12 @ X4 )
= ( X12 @ X5 ) )
& ( ( X12 @ X3 )
= ( X12 @ X4 ) )
& ( ( X12 @ X2 )
= ( X12 @ X3 ) )
& ( ( X12 @ X8 )
!= ( X12 @ X11 ) ) )
=> ( ( X12 @ X6 )
= ( X12 @ X9 ) ) )
& ( ( ( ( X12 @ X2 )
= ( X12 @ X3 ) )
& ( ( X12 @ X8 )
= ( X12 @ X11 ) )
& ( ( X12 @ X0 )
= ( X12 @ X1 ) ) )
=> ( ( X12 @ X4 )
= ( X12 @ X7 ) ) )
& ( ( ( ( X12 @ X7 )
= ( X12 @ X6 ) )
& ( ( X12 @ X2 )
!= ( X12 @ X5 ) )
& ( ( X12 @ X0 )
= ( X12 @ X1 ) ) )
=> ( ( X12 @ X8 )
= ( X12 @ X11 ) ) )
& ( ( ( ( X12 @ X11 )
= ( X12 @ X10 ) )
& ( ( X12 @ X4 )
= ( X12 @ X7 ) )
& ( ( X12 @ X8 )
= ( X12 @ X9 ) ) )
=> ( ( X12 @ X0 )
!= ( X12 @ X3 ) ) ) )
=> ( ( ( X12 @ X4 )
!= ( X12 @ X5 ) )
| ( ( X12 @ X0 )
!= ( X12 @ X1 ) )
| ( ( X12 @ X7 )
!= ( X12 @ X6 ) )
| ( ( X12 @ X2 )
!= ( X12 @ X3 ) )
| ( ( X12 @ X8 )
!= ( X12 @ X9 ) )
| ( ( X12 @ X11 )
!= ( X12 @ X10 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bTquMDtQW8/DTF2THF_26220.p',cSIXFRIENDS) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO250^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n015.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 14:27:01 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.29/0.50 ---- Original DTF file ---
% 0.29/0.50 thf(spec,logic,$$dhol).
% 0.29/0.50 %------------------------------------------------------------------------------
% 0.29/0.50 % File : SYO250^5 : TPTP v9.2.1. Released v4.0.0.
% 0.29/0.50 % Domain : Syntactic
% 0.29/0.50 % Problem : TPS problem from BASIC-HO-EQ-THMS
% 0.29/0.50 % Version : Especial.
% 0.29/0.50 % English :
% 0.29/0.50
% 0.29/0.50 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.29/0.50 % Source : [Bro09]
% 0.29/0.50 % Names : tps_1247 [Bro09]
% 0.29/0.50
% 0.29/0.50 % Status : Theorem
% 0.29/0.50 % Rating : 0.00 v7.4.0, 0.11 v7.2.0, 0.00 v7.1.0, 0.12 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.14 v6.1.0, 0.29 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v5.1.0, 0.20 v4.1.0, 0.00 v4.0.1, 0.33 v4.0.0
% 0.29/0.50 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.29/0.50 % Number of atoms : 90 ( 90 equ; 0 cnn)
% 0.29/0.50 % Maximal formula atoms : 90 ( 90 avg)
% 0.29/0.50 % Number of connectives : 223 ( 70 ~; 5 |; 76 &; 64 @)
% 0.29/0.50 % ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% 0.29/0.50 % Maximal formula depth : 72 ( 72 avg)
% 0.29/0.50 % Number of types : 1 ( 0 usr)
% 0.29/0.50 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.29/0.50 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.29/0.50 % Number of variables : 13 ( 0 ^; 1 !; 12 ?; 13 :)
% 0.29/0.50 % SPC : TH0_THM_EQU_NAR
% 0.29/0.50
% 0.29/0.50 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.29/0.50 % project in the Department of Mathematical Sciences at Carnegie
% 0.29/0.50 % Mellon University. Distributed under the Creative Commons copyleft
% 0.29/0.50 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.29/0.50 %------------------------------------------------------------------------------
% 0.29/0.50 thf(cSIXFRIENDS,conjecture,
% 0.29/0.50 ? [Xa: $i,Xaa: $i,Xb: $i,Xbb: $i,Xc: $i,Xcc: $i,Xd: $i,Xdd: $i,Xe: $i,Xee: $i,Xh: $i,Xhh: $i] :
% 0.29/0.50 ( ( ( Xa != Xaa )
% 0.29/0.50 & ( Xa != Xb )
% 0.29/0.50 & ( Xa != Xbb )
% 0.29/0.50 & ( Xa != Xc )
% 0.29/0.50 & ( Xa != Xcc )
% 0.29/0.50 & ( Xa != Xd )
% 0.29/0.50 & ( Xa != Xdd )
% 0.29/0.50 & ( Xa != Xe )
% 0.29/0.50 & ( Xa != Xee )
% 0.29/0.50 & ( Xa != Xh )
% 0.29/0.50 & ( Xa != Xhh )
% 0.29/0.50 & ( Xaa != Xb )
% 0.29/0.50 & ( Xaa != Xbb )
% 0.29/0.50 & ( Xaa != Xc )
% 0.29/0.50 & ( Xaa != Xcc )
% 0.29/0.50 & ( Xaa != Xd )
% 0.29/0.50 & ( Xaa != Xdd )
% 0.29/0.50 & ( Xaa != Xe )
% 0.29/0.50 & ( Xaa != Xee )
% 0.29/0.50 & ( Xaa != Xh )
% 0.29/0.50 & ( Xaa != Xhh )
% 0.29/0.50 & ( Xb != Xbb )
% 0.29/0.50 & ( Xb != Xc )
% 0.29/0.50 & ( Xb != Xcc )
% 0.29/0.50 & ( Xb != Xd )
% 0.29/0.50 & ( Xb != Xdd )
% 0.29/0.50 & ( Xb != Xe )
% 0.29/0.50 & ( Xb != Xee )
% 0.29/0.50 & ( Xb != Xh )
% 0.29/0.50 & ( Xb != Xhh )
% 0.29/0.50 & ( Xc != Xcc )
% 0.29/0.50 & ( Xc != Xd )
% 0.29/0.50 & ( Xc != Xdd )
% 0.29/0.50 & ( Xc != Xe )
% 0.29/0.50 & ( Xc != Xee )
% 0.29/0.50 & ( Xc != Xh )
% 0.29/0.50 & ( Xc != Xhh )
% 0.29/0.50 & ( Xcc != Xd )
% 0.29/0.50 & ( Xcc != Xdd )
% 0.29/0.50 & ( Xcc != Xe )
% 0.29/0.50 & ( Xcc != Xee )
% 0.29/0.50 & ( Xcc != Xh )
% 0.29/0.50 & ( Xcc != Xhh )
% 0.29/0.50 & ( Xd != Xdd )
% 0.29/0.50 & ( Xd != Xe )
% 0.29/0.50 & ( Xd != Xee )
% 0.29/0.50 & ( Xd != Xh )
% 0.29/0.50 & ( Xd != Xhh )
% 0.29/0.50 & ( Xdd != Xe )
% 0.29/0.50 & ( Xdd != Xee )
% 0.29/0.50 & ( Xdd != Xh )
% 0.29/0.50 & ( Xdd != Xhh )
% 0.29/0.50 & ( Xe != Xee )
% 0.29/0.50 & ( Xe != Xh )
% 0.29/0.50 & ( Xe != Xhh )
% 0.29/0.50 & ( Xee != Xh )
% 0.29/0.50 & ( Xee != Xhh )
% 0.29/0.50 & ( Xh != Xhh ) )
% 0.29/0.50 => ! [P: $i > $i] :
% 0.29/0.50 ( ( ( ( ( ( P @ Xa )
% 0.29/0.50 = ( P @ Xaa ) )
% 0.29/0.50 & ( ( P @ Xb )
% 0.29/0.50 = ( P @ Xbb ) )
% 0.29/0.50 & ( ( P @ Xe )
% 0.29/0.50 = ( P @ Xhh ) ) )
% 0.29/0.50 => ( ( P @ Xc )
% 0.29/0.50 = ( P @ Xdd ) ) )
% 0.29/0.50 & ( ( ( ( P @ Xa )
% 0.29/0.50 = ( P @ Xaa ) )
% 0.29/0.50 & ( ( P @ Xh )
% 0.29/0.50 = ( P @ Xhh ) )
% 0.29/0.50 & ( ( P @ Xb )
% 0.29/0.50 = ( P @ Xcc ) ) )
% 0.29/0.50 => ( ( P @ Xd )
% 0.29/0.50 != ( P @ Xee ) ) )
% 0.29/0.50 & ( ( ( ( P @ Xc )
% 0.29/0.50 = ( P @ Xcc ) )
% 0.29/0.50 & ( ( P @ Xcc )
% 0.29/0.50 = ( P @ Xd ) )
% 0.29/0.50 & ( ( P @ Xd )
% 0.29/0.50 = ( P @ Xdd ) )
% 0.29/0.50 & ( ( P @ Xa )
% 0.29/0.50 != ( P @ Xbb ) ) )
% 0.29/0.50 => ( ( P @ Xe )
% 0.29/0.50 != ( P @ Xhh ) ) )
% 0.29/0.50 & ( ( ( ( P @ Xa )
% 0.29/0.50 = ( P @ Xaa ) )
% 0.29/0.50 & ( ( P @ Xd )
% 0.29/0.50 = ( P @ Xdd ) )
% 0.29/0.50 & ( ( P @ Xb )
% 0.29/0.50 != ( P @ Xcc ) ) )
% 0.29/0.50 => ( ( P @ Xe )
% 0.29/0.50 = ( P @ Xhh ) ) )
% 0.29/0.50 & ( ( ( ( P @ Xe )
% 0.29/0.50 = ( P @ Xee ) )
% 0.29/0.50 & ( ( P @ Xh )
% 0.29/0.50 = ( P @ Xhh ) )
% 0.29/0.50 & ( ( P @ Xc )
% 0.29/0.50 = ( P @ Xdd ) ) )
% 0.29/0.50 => ( ( P @ Xa )
% 0.29/0.50 != ( P @ Xbb ) ) )
% 0.29/0.50 & ( ( ( ( P @ Xb )
% 0.29/0.50 = ( P @ Xbb ) )
% 0.29/0.50 & ( ( P @ Xbb )
% 0.29/0.50 = ( P @ Xc ) )
% 0.29/0.50 & ( ( P @ Xc )
% 0.29/0.50 = ( P @ Xcc ) )
% 0.29/0.50 & ( ( P @ Xe )
% 0.29/0.50 != ( P @ Xhh ) ) )
% 0.29/0.50 => ( ( P @ Xd )
% 0.29/0.50 = ( P @ Xee ) ) ) )
% 0.29/0.50 => ( ( ( P @ Xa )
% 0.29/0.50 != ( P @ Xaa ) )
% 0.29/0.50 | ( ( P @ Xb )
% 0.29/0.50 != ( P @ Xbb ) )
% 0.29/0.50 | ( ( P @ Xc )
% 0.29/0.50 != ( P @ Xcc ) )
% 0.29/0.50 | ( ( P @ Xd )
% 0.29/0.50 != ( P @ Xdd ) )
% 0.29/0.50 | ( ( P @ Xe )
% 0.29/0.50 != ( P @ Xee ) )
% 0.29/0.50 | ( ( P @ Xh )
% 0.29/0.50 != ( P @ Xhh ) ) ) ) ) ).
% 0.29/0.50
% 0.29/0.50 %------------------------------------------------------------------------------
% 0.29/0.50 ------------------------
% 1.87/1.51 ---- Embedded in THF ---
% 1.87/1.51 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.87/1.51 %%% Generated on Tue Feb 24 14:27:02 EST 2026
% 1.87/1.51 %%% using '$$dhol' embedding, version 1.3.0.
% 1.87/1.51 %%% Logic specification used:
% 1.87/1.51 %%% thf(spec, logic, $$dhol).
% 1.87/1.51
% 1.87/1.51 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.bTquMDtQW8/DTF2DTF26220.p
% See solution above
% 1.87/1.51 ------------------------
% 1.87/1.52 ---- Cleaned THF ---
% 1.87/1.52 thf(cSIXFRIENDS,conjecture,
% 1.87/1.52 ? [Xa: $i,Xaa: $i,Xb: $i,Xbb: $i,Xc: $i,Xcc: $i,Xd: $i,Xdd: $i,Xe: $i,Xee: $i,Xh: $i,Xhh: $i] :
% 1.87/1.52 ( ( ( Xa != Xaa )
% 1.87/1.52 & ( Xa != Xb )
% 1.87/1.52 & ( Xa != Xbb )
% 1.87/1.52 & ( Xa != Xc )
% 1.87/1.52 & ( Xa != Xcc )
% 1.87/1.52 & ( Xa != Xd )
% 1.87/1.52 & ( Xa != Xdd )
% 1.87/1.52 & ( Xa != Xe )
% 1.87/1.52 & ( Xa != Xee )
% 1.87/1.52 & ( Xa != Xh )
% 1.87/1.52 & ( Xa != Xhh )
% 1.87/1.52 & ( Xaa != Xb )
% 1.87/1.52 & ( Xaa != Xbb )
% 1.87/1.52 & ( Xaa != Xc )
% 1.87/1.52 & ( Xaa != Xcc )
% 1.87/1.52 & ( Xaa != Xd )
% 1.87/1.52 & ( Xaa != Xdd )
% 1.87/1.52 & ( Xaa != Xe )
% 1.87/1.52 & ( Xaa != Xee )
% 1.87/1.52 & ( Xaa != Xh )
% 1.87/1.52 & ( Xaa != Xhh )
% 1.87/1.52 & ( Xb != Xbb )
% 1.87/1.52 & ( Xb != Xc )
% 1.87/1.52 & ( Xb != Xcc )
% 1.87/1.52 & ( Xb != Xd )
% 1.87/1.52 & ( Xb != Xdd )
% 1.87/1.52 & ( Xb != Xe )
% 1.87/1.52 & ( Xb != Xee )
% 1.87/1.52 & ( Xb != Xh )
% 1.87/1.52 & ( Xb != Xhh )
% 1.87/1.52 & ( Xc != Xcc )
% 1.87/1.52 & ( Xc != Xd )
% 1.87/1.52 & ( Xc != Xdd )
% 1.87/1.52 & ( Xc != Xe )
% 1.87/1.52 & ( Xc != Xee )
% 1.87/1.52 & ( Xc != Xh )
% 1.87/1.52 & ( Xc != Xhh )
% 1.87/1.52 & ( Xcc != Xd )
% 1.87/1.52 & ( Xcc != Xdd )
% 1.87/1.52 & ( Xcc != Xe )
% 1.87/1.52 & ( Xcc != Xee )
% 1.87/1.52 & ( Xcc != Xh )
% 1.87/1.52 & ( Xcc != Xhh )
% 1.87/1.52 & ( Xd != Xdd )
% 1.87/1.52 & ( Xd != Xe )
% 1.87/1.52 & ( Xd != Xee )
% 1.87/1.52 & ( Xd != Xh )
% 1.87/1.52 & ( Xd != Xhh )
% 1.87/1.52 & ( Xdd != Xe )
% 1.87/1.52 & ( Xdd != Xee )
% 1.87/1.52 & ( Xdd != Xh )
% 1.87/1.52 & ( Xdd != Xhh )
% 1.87/1.52 & ( Xe != Xee )
% 1.87/1.52 & ( Xe != Xh )
% 1.87/1.52 & ( Xe != Xhh )
% 1.87/1.52 & ( Xee != Xh )
% 1.87/1.52 & ( Xee != Xhh )
% 1.87/1.52 & ( Xh != Xhh ) )
% 1.87/1.52 => ! [P: $i > $i] :
% 1.87/1.52 ( ( ( ( ( ( P @ Xa )
% 1.87/1.52 = ( P @ Xaa ) )
% 1.87/1.52 & ( ( P @ Xb )
% 1.87/1.52 = ( P @ Xbb ) )
% 1.87/1.52 & ( ( P @ Xe )
% 1.87/1.52 = ( P @ Xhh ) ) )
% 1.87/1.52 => ( ( P @ Xc )
% 1.87/1.52 = ( P @ Xdd ) ) )
% 1.87/1.52 & ( ( ( ( P @ Xa )
% 1.87/1.52 = ( P @ Xaa ) )
% 1.87/1.52 & ( ( P @ Xh )
% 1.87/1.52 = ( P @ Xhh ) )
% 1.87/1.52 & ( ( P @ Xb )
% 1.87/1.52 = ( P @ Xcc ) ) )
% 1.87/1.52 => ( ( P @ Xd )
% 1.87/1.52 != ( P @ Xee ) ) )
% 1.87/1.52 & ( ( ( ( P @ Xc )
% 1.87/1.52 = ( P @ Xcc ) )
% 1.87/1.52 & ( ( P @ Xcc )
% 1.87/1.52 = ( P @ Xd ) )
% 1.87/1.52 & ( ( P @ Xd )
% 1.87/1.52 = ( P @ Xdd ) )
% 1.87/1.52 & ( ( P @ Xa )
% 1.87/1.52 != ( P @ Xbb ) ) )
% 1.87/1.52 => ( ( P @ Xe )
% 1.87/1.52 != ( P @ Xhh ) ) )
% 1.87/1.52 & ( ( ( ( P @ Xa )
% 1.87/1.52 = ( P @ Xaa ) )
% 1.87/1.52 & ( ( P @ Xd )
% 1.87/1.52 = ( P @ Xdd ) )
% 1.87/1.52 & ( ( P @ Xb )
% 1.87/1.52 != ( P @ Xcc ) ) )
% 1.87/1.52 => ( ( P @ Xe )
% 1.87/1.52 = ( P @ Xhh ) ) )
% 1.87/1.52 & ( ( ( ( P @ Xe )
% 1.87/1.52 = ( P @ Xee ) )
% 1.87/1.52 & ( ( P @ Xh )
% 1.87/1.52 = ( P @ Xhh ) )
% 1.87/1.52 & ( ( P @ Xc )
% 1.87/1.52 = ( P @ Xdd ) ) )
% 1.87/1.52 => ( ( P @ Xa )
% 1.87/1.52 != ( P @ Xbb ) ) )
% 1.87/1.52 & ( ( ( ( P @ Xb )
% 1.87/1.52 = ( P @ Xbb ) )
% 1.87/1.52 & ( ( P @ Xbb )
% 1.87/1.52 = ( P @ Xc ) )
% 1.87/1.52 & ( ( P @ Xc )
% 1.87/1.52 = ( P @ Xcc ) )
% 1.87/1.52 & ( ( P @ Xe )
% 1.87/1.52 != ( P @ Xhh ) ) )
% 1.87/1.52 => ( ( P @ Xd )
% 1.87/1.52 = ( P @ Xee ) ) ) )
% 1.87/1.52 => ( ( ( P @ Xa )
% 1.87/1.52 != ( P @ Xaa ) )
% 1.87/1.52 | ( ( P @ Xb )
% 1.87/1.52 != ( P @ Xbb ) )
% 1.87/1.52 | ( ( P @ Xc )
% 1.87/1.52 != ( P @ Xcc ) )
% 1.87/1.52 | ( ( P @ Xd )
% 1.87/1.52 != ( P @ Xdd ) )
% 1.87/1.52 | ( ( P @ Xe )
% 1.87/1.52 != ( P @ Xee ) )
% 1.87/1.52 | ( ( P @ Xh )
% 1.87/1.52 != ( P @ Xhh ) ) ) ) ) ).
% 1.87/1.52 ------------------------
% 1.87/1.54 % (26320)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_26220 for (2999ds/27Mi)
% 1.87/1.54 % (26318)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_26220 for (2999ds/183Mi)
% 1.87/1.54 % (26319)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_26220 for (2999ds/4Mi)
% 1.87/1.54 % (26322)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_26220 for (2999ds/2Mi)
% 1.87/1.54 % (26324)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_26220 for (2999ds/18Mi)
% 1.87/1.54 % (26321)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_26220 for (2999ds/2Mi)
% 1.87/1.54 % (26323)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_26220 for (2999ds/275Mi)
% 1.87/1.54 % (26321)Instruction limit reached!
% 1.87/1.54 % (26321)------------------------------
% 1.87/1.54 % (26321)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.54 % (26321)Termination reason: Unknown
% 1.87/1.54 % (26321)Termination phase: Naming
% 1.87/1.54 % (26322)Instruction limit reached!
% 1.87/1.54 % (26322)------------------------------
% 1.87/1.54 % (26322)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.54 % (26322)Termination reason: Unknown
% 1.87/1.54 % (26322)Termination phase: shuffling
% 1.87/1.54
% 1.87/1.54 % (26322)Memory used [KB]: 1023
% 1.87/1.54 % (26322)Time elapsed: 0.003 s
% 1.87/1.54 % (26322)Instructions burned: 2 (million)
% 1.87/1.54 % (26322)------------------------------
% 1.87/1.54 % (26322)------------------------------
% 1.87/1.54
% 1.87/1.54 % (26321)Memory used [KB]: 1023
% 1.87/1.54 % (26321)Time elapsed: 0.003 s
% 1.87/1.54 % (26321)Instructions burned: 2 (million)
% 1.87/1.54 % (26321)------------------------------
% 1.87/1.54 % (26321)------------------------------
% 1.87/1.54 % (26319)Instruction limit reached!
% 1.87/1.54 % (26319)------------------------------
% 1.87/1.54 % (26319)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.54 % (26319)Termination reason: Unknown
% 1.87/1.54 % (26319)Termination phase: Property scanning
% 1.87/1.54
% 1.87/1.54 % (26319)Memory used [KB]: 1023
% 1.87/1.54 % (26319)Time elapsed: 0.004 s
% 1.87/1.54 % (26319)Instructions burned: 4 (million)
% 1.87/1.54 % (26319)------------------------------
% 1.87/1.54 % (26319)------------------------------
% 1.87/1.55 % (26318)First to succeed.
% 1.87/1.55 % (26323)Also succeeded, but the first one will report.
% 1.87/1.55 % (26320)Also succeeded, but the first one will report.
% 1.87/1.55 % (26318)Refutation found. Thanks to Tanya!
% 1.87/1.55 % SZS status Theorem for DTF2THF_26220
% 1.87/1.55 % SZS output start Proof for DTF2THF_26220
% 1.87/1.55 thf(func_def_3, type, sK0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i).
% 1.87/1.55 thf(f80,plain,(
% 1.87/1.55 $false),
% 1.87/1.55 inference(equality_resolution,[status(thm)],[f79])).
% 1.87/1.55 thf(f79,plain,(
% 1.87/1.55 ( ! [X2 : $i,X4 : $i] : ((X2 != X4)) )),
% 1.87/1.55 inference(cnf_transformation,[status(thm)],[f9])).
% 1.87/1.55 thf(f9,plain,(
% 1.87/1.55 ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i,X4 : $i,X5 : $i,X6 : $i,X7 : $i,X8 : $i,X9 : $i,X10 : $i,X11 : $i] : ((X2 != X4) & (X4 != X10) & (X1 != X9) & (X0 != X6) & (X1 != X7) & (X4 != X6) & (X9 != X11) & (X7 != X8) & (X5 != X7) & (X8 != X9) & (X6 != X9) & (X2 != X8) & (X5 != X11) & (X2 != X11) & (X9 != X10) & (X6 != X10) & (X7 != X11) & (X0 != X10) & (X0 != X1) & (X2 != X5) & (X3 != X7) & (X5 != X10) & (X3 != X11) & (X0 != X11) & (X2 != X9) & (X1 != X8) & (X0 != X4) & (X5 != X9) & (X10 != X11) & (X4 != X8) & (X8 != X11) & (X1 != X10) & (X0 != X8) & (X7 != X9) & (X0 != X2) & (X4 != X7) & (X3 != X9) & (X1 != X4) & (X5 != X6) & (X2 != X10) & (X4 != X11) & (X0 != X9) & (X2 != X7) & (X0 != X7) & (X8 != X10) & (X6 != X7) & (X1 != X2) & (X4 != X5) & (X1 != X6) & (X1 != X11) & (X6 != X8) & (X0 != X5) & (X6 != X11) & (X1 != X5) & (X7 != X10) & (X4 != X9) & (X5 != X8) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10)) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1))) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5))) & ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)) & ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7))) & ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6)) & ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5)) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8))) & ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3)) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1))) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10)))) & (X2 != X6))),
% 1.87/1.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8])).
% 1.87/1.55 thf(f8,plain,(
% 1.87/1.55 ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i,X4 : $i,X5 : $i,X6 : $i,X7 : $i,X8 : $i,X9 : $i,X10 : $i,X11 : $i] : (? [X12 : $i > $i] : (((X12 @ X8) = (X12 @ X10)) & (((X12 @ X1) != (X12 @ X4)) | ((X12 @ X3) != (X12 @ X11)) | ((X12 @ X10) = (X12 @ X5)) | ((X12 @ X8) = (X12 @ X6)) | ((X12 @ X1) != (X12 @ X3))) & (((X12 @ X8) != (X12 @ X6)) | ((X12 @ X1) != (X12 @ X4)) | ((X12 @ X3) = (X12 @ X9)) | ((X12 @ X4) != (X12 @ X5)) | ((X12 @ X0) != (X12 @ X5))) & ((X12 @ X7) = (X12 @ X9)) & ((X12 @ X1) = (X12 @ X4)) & (((X12 @ X0) != (X12 @ X5)) | ((X12 @ X8) = (X12 @ X6)) | ((X12 @ X11) = (X12 @ X4)) | ((X12 @ X7) != (X12 @ X9))) & ((X12 @ X2) = (X12 @ X6)) & ((X12 @ X0) = (X12 @ X5)) & (((X12 @ X3) != (X12 @ X11)) | ((X12 @ X0) = (X12 @ X1)) | ((X12 @ X7) != (X12 @ X9)) | ((X12 @ X8) != (X12 @ X6))) & ((X12 @ X3) = (X12 @ X11)) & (((X12 @ X2) != (X12 @ X6)) | ((X12 @ X8) != (X12 @ X10)) | ((X12 @ X3) != (X12 @ X9)) | ((X12 @ X0) != (X12 @ X1))) & (((X12 @ X2) != (X12 @ X6)) | ((X12 @ X11) != (X12 @ X4)) | ((X12 @ X7) != (X12 @ X9)) | ((X12 @ X10) != (X12 @ X5)))) => (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10)) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1))) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5))) & ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)) & ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7))) & ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6)) & ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5)) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8))) & ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11) = (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3)) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1))) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)) | ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5) != (sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10)))))),
% 1.87/1.55 introduced(definition,[],[choice_axiom])).
% 1.87/1.55 thf(f7,plain,(
% 1.87/1.55 ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i,X4 : $i,X5 : $i,X6 : $i,X7 : $i,X8 : $i,X9 : $i,X10 : $i,X11 : $i] : ((X2 != X4) & (X4 != X10) & (X1 != X9) & (X0 != X6) & (X1 != X7) & (X4 != X6) & (X9 != X11) & (X7 != X8) & (X5 != X7) & (X8 != X9) & (X6 != X9) & (X2 != X8) & (X5 != X11) & (X2 != X11) & (X9 != X10) & (X6 != X10) & (X7 != X11) & (X0 != X10) & (X0 != X1) & (X2 != X5) & (X3 != X7) & (X5 != X10) & (X3 != X11) & (X0 != X11) & (X2 != X9) & (X1 != X8) & (X0 != X4) & (X5 != X9) & (X10 != X11) & (X4 != X8) & (X8 != X11) & (X1 != X10) & (X0 != X8) & (X7 != X9) & (X0 != X2) & (X4 != X7) & (X3 != X9) & (X1 != X4) & (X5 != X6) & (X2 != X10) & (X4 != X11) & (X0 != X9) & (X2 != X7) & (X0 != X7) & (X8 != X10) & (X6 != X7) & (X1 != X2) & (X4 != X5) & (X1 != X6) & (X1 != X11) & (X6 != X8) & (X0 != X5) & (X6 != X11) & (X1 != X5) & (X7 != X10) & (X4 != X9) & (X5 != X8) & ? [X12 : $i > $i] : (((X12 @ X8) = (X12 @ X10)) & (((X12 @ X1) != (X12 @ X4)) | ((X12 @ X3) != (X12 @ X11)) | ((X12 @ X10) = (X12 @ X5)) | ((X12 @ X8) = (X12 @ X6)) | ((X12 @ X1) != (X12 @ X3))) & (((X12 @ X8) != (X12 @ X6)) | ((X12 @ X1) != (X12 @ X4)) | ((X12 @ X3) = (X12 @ X9)) | ((X12 @ X4) != (X12 @ X5)) | ((X12 @ X0) != (X12 @ X5))) & ((X12 @ X7) = (X12 @ X9)) & ((X12 @ X1) = (X12 @ X4)) & (((X12 @ X0) != (X12 @ X5)) | ((X12 @ X8) = (X12 @ X6)) | ((X12 @ X11) = (X12 @ X4)) | ((X12 @ X7) != (X12 @ X9))) & ((X12 @ X2) = (X12 @ X6)) & ((X12 @ X0) = (X12 @ X5)) & (((X12 @ X3) != (X12 @ X11)) | ((X12 @ X0) = (X12 @ X1)) | ((X12 @ X7) != (X12 @ X9)) | ((X12 @ X8) != (X12 @ X6))) & ((X12 @ X3) = (X12 @ X11)) & (((X12 @ X2) != (X12 @ X6)) | ((X12 @ X8) != (X12 @ X10)) | ((X12 @ X3) != (X12 @ X9)) | ((X12 @ X0) != (X12 @ X1))) & (((X12 @ X2) != (X12 @ X6)) | ((X12 @ X11) != (X12 @ X4)) | ((X12 @ X7) != (X12 @ X9)) | ((X12 @ X10) != (X12 @ X5)))) & (X2 != X6))),
% 1.87/1.55 inference(rectify,[status(thm)],[f6])).
% 1.87/1.55 thf(f6,plain,(
% 1.87/1.55 ! [X5 : $i,X11 : $i,X10 : $i,X9 : $i,X0 : $i,X4 : $i,X1 : $i,X2 : $i,X7 : $i,X8 : $i,X6 : $i,X3 : $i] : ((X0 != X10) & (X0 != X6) & (X8 != X11) & (X1 != X5) & (X2 != X11) & (X0 != X1) & (X3 != X8) & (X2 != X7) & (X2 != X4) & (X7 != X8) & (X1 != X8) & (X7 != X10) & (X3 != X4) & (X3 != X10) & (X6 != X8) & (X1 != X6) & (X2 != X3) & (X5 != X6) & (X5 != X11) & (X4 != X10) & (X2 != X9) & (X4 != X6) & (X3 != X9) & (X3 != X5) & (X8 != X10) & (X7 != X11) & (X0 != X5) & (X4 != X8) & (X3 != X6) & (X0 != X7) & (X3 != X7) & (X6 != X11) & (X5 != X7) & (X2 != X8) & (X5 != X10) & (X0 != X2) & (X8 != X9) & (X0 != X11) & (X1 != X4) & (X6 != X10) & (X0 != X3) & (X5 != X8) & (X2 != X10) & (X2 != X5) & (X6 != X7) & (X1 != X2) & (X10 != X11) & (X0 != X4) & (X1 != X11) & (X3 != X11) & (X1 != X7) & (X4 != X5) & (X1 != X3) & (X4 != X11) & (X2 != X6) & (X0 != X8) & (X4 != X7) & ? [X12 : $i > $i] : (((X12 @ X7) = (X12 @ X6)) & (((X12 @ X0) != (X12 @ X11)) | ((X12 @ X3) != (X12 @ X9)) | ((X12 @ X4) = (X12 @ X6)) | ((X12 @ X1) = (X12 @ X7)) | ((X12 @ X11) != (X12 @ X9))) & (((X12 @ X1) != (X12 @ X7)) | ((X12 @ X0) != (X12 @ X11)) | ((X12 @ X8) = (X12 @ X9)) | ((X12 @ X0) != (X12 @ X4)) | ((X12 @ X4) != (X12 @ X5))) & ((X12 @ X2) = (X12 @ X8)) & ((X12 @ X0) = (X12 @ X11)) & (((X12 @ X4) != (X12 @ X5)) | ((X12 @ X1) = (X12 @ X7)) | ((X12 @ X0) = (X12 @ X3)) | ((X12 @ X2) != (X12 @ X8))) & ((X12 @ X1) = (X12 @ X10)) & ((X12 @ X4) = (X12 @ X5)) & (((X12 @ X3) != (X12 @ X9)) | ((X12 @ X11) = (X12 @ X5)) | ((X12 @ X2) != (X12 @ X8)) | ((X12 @ X1) != (X12 @ X7))) & ((X12 @ X3) = (X12 @ X9)) & (((X12 @ X1) != (X12 @ X10)) | ((X12 @ X7) != (X12 @ X6)) | ((X12 @ X8) != (X12 @ X9)) | ((X12 @ X11) != (X12 @ X5))) & (((X12 @ X1) != (X12 @ X10)) | ((X12 @ X0) != (X12 @ X3)) | ((X12 @ X2) != (X12 @ X8)) | ((X12 @ X4) != (X12 @ X6)))) & (X1 != X10))),
% 1.87/1.55 inference(flattening,[status(thm)],[f5])).
% 1.87/1.55 thf(f5,plain,(
% 1.87/1.55 ! [X9 : $i,X11 : $i,X4 : $i,X0 : $i,X8 : $i,X10 : $i,X3 : $i,X5 : $i,X1 : $i,X6 : $i,X7 : $i,X2 : $i] : (? [X12 : $i > $i] : ((((X12 @ X7) = (X12 @ X6)) & ((X12 @ X4) = (X12 @ X5)) & ((X12 @ X0) = (X12 @ X11)) & ((X12 @ X3) = (X12 @ X9)) & ((X12 @ X2) = (X12 @ X8)) & ((X12 @ X1) = (X12 @ X10))) & ((((X12 @ X8) != (X12 @ X9)) | (((X12 @ X11) != (X12 @ X5)) | ((X12 @ X7) != (X12 @ X6)) | ((X12 @ X1) != (X12 @ X10)))) & (((X12 @ X4) != (X12 @ X6)) | (((X12 @ X1) != (X12 @ X10)) | ((X12 @ X0) != (X12 @ X3)) | ((X12 @ X2) != (X12 @ X8)))) & (((X12 @ X4) = (X12 @ X6)) | (((X12 @ X11) != (X12 @ X9)) | ((X12 @ X3) != (X12 @ X9)) | ((X12 @ X1) = (X12 @ X7)) | ((X12 @ X0) != (X12 @ X11)))) & (((X12 @ X1) = (X12 @ X7)) | (((X12 @ X4) != (X12 @ X5)) | ((X12 @ X0) = (X12 @ X3)) | ((X12 @ X2) != (X12 @ X8)))) & (((X12 @ X1) != (X12 @ X7)) | (((X12 @ X4) != (X12 @ X5)) | ((X12 @ X8) = (X12 @ X9)) | ((X12 @ X0) != (X12 @ X11)) | ((X12 @ X0) != (X12 @ X4)))) & (((X12 @ X11) = (X12 @ X5)) | (((X12 @ X2) != (X12 @ X8)) | ((X12 @ X3) != (X12 @ X9)) | ((X12 @ X1) != (X12 @ X7)))))) & ((X0 != X2) & (X1 != X6) & (X5 != X8) & (X7 != X8) & (X0 != X5) & (X4 != X5) & (X0 != X3) & (X6 != X8) & (X0 != X6) & (X3 != X10) & (X1 != X2) & (X3 != X4) & (X1 != X5) & (X4 != X6) & (X3 != X11) & (X5 != X10) & (X0 != X10) & (X2 != X8) & (X2 != X3) & (X3 != X7) & (X8 != X9) & (X1 != X3) & (X1 != X7) & (X0 != X4) & (X3 != X6) & (X7 != X11) & (X2 != X10) & (X5 != X7) & (X7 != X10) & (X6 != X7) & (X1 != X8) & (X0 != X7) & (X3 != X9) & (X1 != X10) & (X0 != X8) & (X6 != X10) & (X2 != X11) & (X5 != X11) & (X2 != X5) & (X5 != X6) & (X0 != X1) & (X8 != X11) & (X6 != X11) & (X4 != X8) & (X2 != X4) & (X4 != X11) & (X1 != X11) & (X3 != X8) & (X2 != X7) & (X0 != X11) & (X4 != X10) & (X4 != X7) & (X10 != X11) & (X2 != X6) & (X2 != X9) & (X8 != X10) & (X3 != X5) & (X1 != X4)))),
% 1.87/1.55 inference(ennf_transformation,[status(thm)],[f4])).
% 1.87/1.55 thf(f4,plain,(
% 1.87/1.55 ~? [X9 : $i,X11 : $i,X4 : $i,X0 : $i,X8 : $i,X10 : $i,X3 : $i,X5 : $i,X1 : $i,X6 : $i,X7 : $i,X2 : $i] : (((X0 != X2) & (X1 != X6) & (X5 != X8) & (X7 != X8) & (X0 != X5) & (X4 != X5) & (X0 != X3) & (X6 != X8) & (X0 != X6) & (X3 != X10) & (X1 != X2) & (X3 != X4) & (X1 != X5) & (X4 != X6) & (X3 != X11) & (X5 != X10) & (X0 != X10) & (X2 != X8) & (X2 != X3) & (X3 != X7) & (X8 != X9) & (X1 != X3) & (X1 != X7) & (X0 != X4) & (X3 != X6) & (X7 != X11) & (X2 != X10) & (X5 != X7) & (X7 != X10) & (X6 != X7) & (X1 != X8) & (X0 != X7) & (X3 != X9) & (X1 != X10) & (X0 != X8) & (X6 != X10) & (X2 != X11) & (X5 != X11) & (X2 != X5) & (X5 != X6) & (X0 != X1) & (X8 != X11) & (X6 != X11) & (X4 != X8) & (X2 != X4) & (X4 != X11) & (X1 != X11) & (X3 != X8) & (X2 != X7) & (X0 != X11) & (X4 != X10) & (X4 != X7) & (X10 != X11) & (X2 != X6) & (X2 != X9) & (X8 != X10) & (X3 != X5) & (X1 != X4)) => ! [X12 : $i > $i] : ((((((X12 @ X11) = (X12 @ X5)) & ((X12 @ X7) = (X12 @ X6)) & ((X12 @ X1) = (X12 @ X10))) => ((X12 @ X8) != (X12 @ X9))) & ((((X12 @ X1) = (X12 @ X10)) & ((X12 @ X0) = (X12 @ X3)) & ((X12 @ X2) = (X12 @ X8))) => ((X12 @ X4) != (X12 @ X6))) & ((((X12 @ X11) = (X12 @ X9)) & ((X12 @ X3) = (X12 @ X9)) & ((X12 @ X1) != (X12 @ X7)) & ((X12 @ X0) = (X12 @ X11))) => ((X12 @ X4) = (X12 @ X6))) & ((((X12 @ X4) = (X12 @ X5)) & ((X12 @ X0) != (X12 @ X3)) & ((X12 @ X2) = (X12 @ X8))) => ((X12 @ X1) = (X12 @ X7))) & ((((X12 @ X4) = (X12 @ X5)) & ((X12 @ X8) != (X12 @ X9)) & ((X12 @ X0) = (X12 @ X11)) & ((X12 @ X0) = (X12 @ X4))) => ((X12 @ X1) != (X12 @ X7))) & ((((X12 @ X2) = (X12 @ X8)) & ((X12 @ X3) = (X12 @ X9)) & ((X12 @ X1) = (X12 @ X7))) => ((X12 @ X11) = (X12 @ X5)))) => (((X12 @ X7) != (X12 @ X6)) | ((X12 @ X4) != (X12 @ X5)) | ((X12 @ X0) != (X12 @ X11)) | ((X12 @ X3) != (X12 @ X9)) | ((X12 @ X2) != (X12 @ X8)) | ((X12 @ X1) != (X12 @ X10)))))),
% 1.87/1.55 inference(rectify,[status(thm)],[f2])).
% 1.87/1.55 thf(f2,negated_conjecture,(
% 1.87/1.55 ~? [X5 : $i,X11 : $i,X1 : $i,X2 : $i,X6 : $i,X7 : $i,X9 : $i,X8 : $i,X0 : $i,X3 : $i,X10 : $i,X4 : $i] : (((X0 != X8) & (X2 != X10) & (X7 != X9) & (X5 != X10) & (X6 != X8) & (X4 != X8) & (X1 != X2) & (X0 != X11) & (X6 != X11) & (X4 != X10) & (X0 != X3) & (X5 != X8) & (X1 != X8) & (X9 != X11) & (X2 != X5) & (X5 != X9) & (X4 != X11) & (X7 != X10) & (X6 != X10) & (X2 != X6) & (X2 != X7) & (X0 != X2) & (X10 != X11) & (X0 != X1) & (X2 != X9) & (X0 != X4) & (X5 != X11) & (X7 != X8) & (X1 != X6) & (X8 != X10) & (X0 != X5) & (X0 != X6) & (X1 != X5) & (X8 != X11) & (X2 != X4) & (X4 != X6) & (X0 != X10) & (X8 != X9) & (X1 != X7) & (X2 != X8) & (X2 != X3) & (X2 != X11) & (X5 != X7) & (X4 != X5) & (X6 != X9) & (X0 != X7) & (X4 != X7) & (X4 != X9) & (X5 != X6) & (X9 != X10) & (X1 != X4) & (X0 != X9) & (X1 != X10) & (X1 != X3) & (X1 != X11) & (X7 != X11) & (X6 != X7) & (X1 != X9)) => ! [X12 : $i > $i] : ((((((X12 @ X11) = (X12 @ X10)) & ((X12 @ X0) = (X12 @ X1)) & ((X12 @ X2) = (X12 @ X5))) => ((X12 @ X6) != (X12 @ X9))) & ((((X12 @ X0) != (X12 @ X3)) & ((X12 @ X7) = (X12 @ X6)) & ((X12 @ X4) = (X12 @ X5)) & ((X12 @ X5) = (X12 @ X6))) => ((X12 @ X8) != (X12 @ X11))) & ((((X12 @ X4) = (X12 @ X5)) & ((X12 @ X3) = (X12 @ X4)) & ((X12 @ X2) = (X12 @ X3)) & ((X12 @ X8) != (X12 @ X11))) => ((X12 @ X6) = (X12 @ X9))) & ((((X12 @ X2) = (X12 @ X3)) & ((X12 @ X8) = (X12 @ X11)) & ((X12 @ X0) = (X12 @ X1))) => ((X12 @ X4) = (X12 @ X7))) & ((((X12 @ X7) = (X12 @ X6)) & ((X12 @ X2) != (X12 @ X5)) & ((X12 @ X0) = (X12 @ X1))) => ((X12 @ X8) = (X12 @ X11))) & ((((X12 @ X11) = (X12 @ X10)) & ((X12 @ X4) = (X12 @ X7)) & ((X12 @ X8) = (X12 @ X9))) => ((X12 @ X0) != (X12 @ X3)))) => (((X12 @ X4) != (X12 @ X5)) | ((X12 @ X0) != (X12 @ X1)) | ((X12 @ X7) != (X12 @ X6)) | ((X12 @ X2) != (X12 @ X3)) | ((X12 @ X8) != (X12 @ X9)) | ((X12 @ X11) != (X12 @ X10)))))),
% 1.87/1.55 inference(negated_conjecture,[status(cth)],[f1])).
% 1.87/1.55 thf(f1,conjecture,(
% 1.87/1.55 ? [X5 : $i,X11 : $i,X1 : $i,X2 : $i,X6 : $i,X7 : $i,X9 : $i,X8 : $i,X0 : $i,X3 : $i,X10 : $i,X4 : $i] : (((X0 != X8) & (X2 != X10) & (X7 != X9) & (X5 != X10) & (X6 != X8) & (X4 != X8) & (X1 != X2) & (X0 != X11) & (X6 != X11) & (X4 != X10) & (X0 != X3) & (X5 != X8) & (X1 != X8) & (X9 != X11) & (X2 != X5) & (X5 != X9) & (X4 != X11) & (X7 != X10) & (X6 != X10) & (X2 != X6) & (X2 != X7) & (X0 != X2) & (X10 != X11) & (X0 != X1) & (X2 != X9) & (X0 != X4) & (X5 != X11) & (X7 != X8) & (X1 != X6) & (X8 != X10) & (X0 != X5) & (X0 != X6) & (X1 != X5) & (X8 != X11) & (X2 != X4) & (X4 != X6) & (X0 != X10) & (X8 != X9) & (X1 != X7) & (X2 != X8) & (X2 != X3) & (X2 != X11) & (X5 != X7) & (X4 != X5) & (X6 != X9) & (X0 != X7) & (X4 != X7) & (X4 != X9) & (X5 != X6) & (X9 != X10) & (X1 != X4) & (X0 != X9) & (X1 != X10) & (X1 != X3) & (X1 != X11) & (X7 != X11) & (X6 != X7) & (X1 != X9)) => ! [X12 : $i > $i] : ((((((X12 @ X11) = (X12 @ X10)) & ((X12 @ X0) = (X12 @ X1)) & ((X12 @ X2) = (X12 @ X5))) => ((X12 @ X6) != (X12 @ X9))) & ((((X12 @ X0) != (X12 @ X3)) & ((X12 @ X7) = (X12 @ X6)) & ((X12 @ X4) = (X12 @ X5)) & ((X12 @ X5) = (X12 @ X6))) => ((X12 @ X8) != (X12 @ X11))) & ((((X12 @ X4) = (X12 @ X5)) & ((X12 @ X3) = (X12 @ X4)) & ((X12 @ X2) = (X12 @ X3)) & ((X12 @ X8) != (X12 @ X11))) => ((X12 @ X6) = (X12 @ X9))) & ((((X12 @ X2) = (X12 @ X3)) & ((X12 @ X8) = (X12 @ X11)) & ((X12 @ X0) = (X12 @ X1))) => ((X12 @ X4) = (X12 @ X7))) & ((((X12 @ X7) = (X12 @ X6)) & ((X12 @ X2) != (X12 @ X5)) & ((X12 @ X0) = (X12 @ X1))) => ((X12 @ X8) = (X12 @ X11))) & ((((X12 @ X11) = (X12 @ X10)) & ((X12 @ X4) = (X12 @ X7)) & ((X12 @ X8) = (X12 @ X9))) => ((X12 @ X0) != (X12 @ X3)))) => (((X12 @ X4) != (X12 @ X5)) | ((X12 @ X0) != (X12 @ X1)) | ((X12 @ X7) != (X12 @ X6)) | ((X12 @ X2) != (X12 @ X3)) | ((X12 @ X8) != (X12 @ X9)) | ((X12 @ X11) != (X12 @ X10)))))),
% 1.87/1.55 file('/export/starexec/sandbox/tmp/tmp.bTquMDtQW8/DTF2THF_26220.p',cSIXFRIENDS)).
% 1.87/1.55 % SZS output end Proof for DTF2THF_26220
% 1.87/1.55 % (26318)------------------------------
% 1.87/1.55 % (26318)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.55 % (26318)Termination reason: Refutation
% 1.87/1.55
% 1.87/1.55 % (26318)Memory used [KB]: 5628
% 1.87/1.55 % (26318)Time elapsed: 0.012 s
% 1.87/1.55 % (26318)Instructions burned: 11 (million)
% 1.87/1.55 % (26318)------------------------------
% 1.87/1.55 % (26318)------------------------------
% 1.87/1.55 % (26317)Success in time 0.028 s
%------------------------------------------------------------------------------