%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV006^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n025.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 09:40:02 AM UTC 2026
% Result : Theorem 1.73s 1.48s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 4
% Syntax : Number of formulae : 70 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 839 ( 838 equ; 0 cnn)
% Maximal formula atoms : 78 ( 11 avg)
% Number of connectives : 4426 ( 689 ~; 520 |; 243 &;2968 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 13 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 424 ( 0 ^; 338 !; 86 ?; 424 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_4,type,
sK0: a > a > a ).
thf(func_def_5,type,
sK1: a > a > a ).
thf(func_def_6,type,
sK2: a ).
thf(func_def_7,type,
sK3: a ).
thf(func_def_8,type,
sK4: a ).
thf(func_def_9,type,
sK5: a ).
thf(func_def_10,type,
sK6: a ).
thf(func_def_11,type,
sK7: a ).
thf(func_def_12,type,
sK8: a ).
thf(func_def_13,type,
sK9: a ).
thf(f205,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f204,f82]) ).
thf(f82,plain,
! [X0: a,X1: a] :
( ( sK0 @ X0 @ X1 )
= ( sK0 @ X1 @ ( sK0 @ X0 @ X1 ) ) ),
inference(superposition,[status(thm)],[f44,f28]) ).
thf(f28,plain,
! [X11: a,X12: a] :
( ( sK1 @ ( sK0 @ X11 @ X12 ) @ X12 )
= X12 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f11,plain,
( ! [X2: a,X3: a,X4: a] :
( ( sK1 @ ( sK1 @ X3 @ X4 ) @ X2 )
= ( sK1 @ X3 @ ( sK1 @ X4 @ X2 ) ) )
& ! [X5: a] :
( ( sK0 @ X5 @ X5 )
= X5 )
& ! [X6: a,X7: a,X8: a,X9: a,X10: a] :
( ( ( sK0 @ X9 @ X7 )
!= X9 )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK1 @ X10 @ X9 )
!= X9 )
| ( ( sK1 @ X10 @ X7 )
!= X7 )
| ( ( sK0 @ X10 @ X7 )
!= X10 )
| ( ( sK0 @ X10 @ X8 )
!= X10 )
| ( ( sK1 @ X8 @ X7 )
!= X7 )
| ( ( sK0 @ X6 @ X8 )
!= X10 )
| ( ( sK0 @ X8 @ X7 )
!= X8 )
| ( ( sK1 @ X10 @ X6 )
!= X6 )
| ( ( sK0 @ X10 @ X9 )
!= X10 )
| ( ( sK1 @ X10 @ X8 )
!= X8 )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= X7 )
| ( ( sK0 @ X10 @ X6 )
!= X10 )
| ( ( sK0 @ X8 @ X9 )
!= X10 )
| ( ( sK1 @ X9 @ X7 )
!= X7 )
| ( ( sK1 @ X8 @ X9 )
!= X7 )
| ( ( sK0 @ X6 @ X7 )
!= X6 )
| ( ( sK1 @ X6 @ X7 )
!= X7 ) )
& ! [X11: a,X12: a] :
( ( sK1 @ ( sK0 @ X11 @ X12 ) @ X12 )
= X12 )
& ! [X13: a,X14: a] :
( ( sK0 @ X13 @ X14 )
= ( sK0 @ X14 @ X13 ) )
& ! [X15: a,X16: a] :
( ( sK0 @ ( sK1 @ X16 @ X15 ) @ X15 )
= X15 )
& ! [X17: a] :
( ( sK1 @ X17 @ X17 )
= X17 )
& ! [X18: a,X19: a] :
( ( sK1 @ X18 @ X19 )
= ( sK1 @ X19 @ X18 ) )
& ( ( sK1 @ ( sK0 @ sK4 @ sK2 ) @ ( sK0 @ sK4 @ sK3 ) )
!= ( sK0 @ sK4 @ ( sK1 @ sK2 @ ( sK0 @ sK4 @ sK3 ) ) ) )
& ! [X23: a,X24: a,X25: a] :
( ( sK0 @ ( sK0 @ X24 @ X23 ) @ X25 )
= ( sK0 @ X24 @ ( sK0 @ X23 @ X25 ) ) )
& ( sK9 != sK7 )
& ( sK8 != sK6 )
& ( sK8 != sK5 )
& ( sK8 != sK7 )
& ( sK5 != sK9 )
& ( sK5 != sK7 )
& ( sK9 != sK6 )
& ( sK5 != sK6 )
& ( sK6 != sK7 )
& ( sK8 != sK9 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f7,f10,f9,f8]) ).
thf(f8,plain,
( ? [X0: a > a > a,X1: a > a > a] :
( ! [X2: a,X3: a,X4: a] :
( ( X1 @ X3 @ ( X1 @ X4 @ X2 ) )
= ( X1 @ ( X1 @ X3 @ X4 ) @ X2 ) )
& ! [X5: a] :
( ( X0 @ X5 @ X5 )
= X5 )
& ! [X6: a,X7: a,X8: a,X9: a,X10: a] :
( ( ( X0 @ X9 @ X7 )
!= X9 )
| ( ( X1 @ X6 @ X9 )
!= X6 )
| ( ( X1 @ X10 @ X9 )
!= X9 )
| ( ( X1 @ X10 @ X7 )
!= X7 )
| ( ( X0 @ X10 @ X7 )
!= X10 )
| ( ( X0 @ X10 @ X8 )
!= X10 )
| ( ( X1 @ X8 @ X7 )
!= X7 )
| ( ( X0 @ X6 @ X8 )
!= X10 )
| ( ( X0 @ X8 @ X7 )
!= X8 )
| ( ( X1 @ X10 @ X6 )
!= X6 )
| ( ( X0 @ X10 @ X9 )
!= X10 )
| ( ( X1 @ X10 @ X8 )
!= X8 )
| ( ( X0 @ X6 @ X9 )
!= X9 )
| ( ( X1 @ X6 @ X8 )
!= X7 )
| ( ( X0 @ X10 @ X6 )
!= X10 )
| ( ( X0 @ X8 @ X9 )
!= X10 )
| ( ( X1 @ X9 @ X7 )
!= X7 )
| ( ( X1 @ X8 @ X9 )
!= X7 )
| ( ( X0 @ X6 @ X7 )
!= X6 )
| ( ( X1 @ X6 @ X7 )
!= X7 ) )
& ! [X11: a,X12: a] :
( ( X1 @ ( X0 @ X11 @ X12 ) @ X12 )
= X12 )
& ! [X13: a,X14: a] :
( ( X0 @ X13 @ X14 )
= ( X0 @ X14 @ X13 ) )
& ! [X15: a,X16: a] :
( ( X0 @ ( X1 @ X16 @ X15 ) @ X15 )
= X15 )
& ! [X17: a] :
( ( X1 @ X17 @ X17 )
= X17 )
& ! [X18: a,X19: a] :
( ( X1 @ X18 @ X19 )
= ( X1 @ X19 @ X18 ) )
& ? [X20: a,X21: a,X22: a] :
( ( X1 @ ( X0 @ X22 @ X20 ) @ ( X0 @ X22 @ X21 ) )
!= ( X0 @ X22 @ ( X1 @ X20 @ ( X0 @ X22 @ X21 ) ) ) )
& ! [X23: a,X24: a,X25: a] :
( ( X0 @ X24 @ ( X0 @ X23 @ X25 ) )
= ( X0 @ ( X0 @ X24 @ X23 ) @ X25 ) )
& ? [X26: a,X27: a,X28: a,X29: a,X30: a] :
( ( X28 != X30 )
& ( X27 != X29 )
& ( X26 != X29 )
& ( X28 != X29 )
& ( X26 != X30 )
& ( X26 != X28 )
& ( X27 != X30 )
& ( X26 != X27 )
& ( X27 != X28 )
& ( X29 != X30 ) ) )
=> ( ! [X4: a,X3: a,X2: a] :
( ( sK1 @ ( sK1 @ X3 @ X4 ) @ X2 )
= ( sK1 @ X3 @ ( sK1 @ X4 @ X2 ) ) )
& ! [X5: a] :
( ( sK0 @ X5 @ X5 )
= X5 )
& ! [X10: a,X9: a,X8: a,X7: a,X6: a] :
( ( ( sK0 @ X9 @ X7 )
!= X9 )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK1 @ X10 @ X9 )
!= X9 )
| ( ( sK1 @ X10 @ X7 )
!= X7 )
| ( ( sK0 @ X10 @ X7 )
!= X10 )
| ( ( sK0 @ X10 @ X8 )
!= X10 )
| ( ( sK1 @ X8 @ X7 )
!= X7 )
| ( ( sK0 @ X6 @ X8 )
!= X10 )
| ( ( sK0 @ X8 @ X7 )
!= X8 )
| ( ( sK1 @ X10 @ X6 )
!= X6 )
| ( ( sK0 @ X10 @ X9 )
!= X10 )
| ( ( sK1 @ X10 @ X8 )
!= X8 )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= X7 )
| ( ( sK0 @ X10 @ X6 )
!= X10 )
| ( ( sK0 @ X8 @ X9 )
!= X10 )
| ( ( sK1 @ X9 @ X7 )
!= X7 )
| ( ( sK1 @ X8 @ X9 )
!= X7 )
| ( ( sK0 @ X6 @ X7 )
!= X6 )
| ( ( sK1 @ X6 @ X7 )
!= X7 ) )
& ! [X12: a,X11: a] :
( ( sK1 @ ( sK0 @ X11 @ X12 ) @ X12 )
= X12 )
& ! [X14: a,X13: a] :
( ( sK0 @ X13 @ X14 )
= ( sK0 @ X14 @ X13 ) )
& ! [X16: a,X15: a] :
( ( sK0 @ ( sK1 @ X16 @ X15 ) @ X15 )
= X15 )
& ! [X17: a] :
( ( sK1 @ X17 @ X17 )
= X17 )
& ! [X19: a,X18: a] :
( ( sK1 @ X18 @ X19 )
= ( sK1 @ X19 @ X18 ) )
& ? [X22: a,X21: a,X20: a] :
( ( sK1 @ ( sK0 @ X22 @ X20 ) @ ( sK0 @ X22 @ X21 ) )
!= ( sK0 @ X22 @ ( sK1 @ X20 @ ( sK0 @ X22 @ X21 ) ) ) )
& ! [X25: a,X24: a,X23: a] :
( ( sK0 @ ( sK0 @ X24 @ X23 ) @ X25 )
= ( sK0 @ X24 @ ( sK0 @ X23 @ X25 ) ) )
& ? [X26: a,X27: a,X28: a,X29: a,X30: a] :
( ( X28 != X30 )
& ( X27 != X29 )
& ( X26 != X29 )
& ( X28 != X29 )
& ( X26 != X30 )
& ( X26 != X28 )
& ( X27 != X30 )
& ( X26 != X27 )
& ( X27 != X28 )
& ( X29 != X30 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f9,plain,
( ? [X22: a,X21: a,X20: a] :
( ( sK1 @ ( sK0 @ X22 @ X20 ) @ ( sK0 @ X22 @ X21 ) )
!= ( sK0 @ X22 @ ( sK1 @ X20 @ ( sK0 @ X22 @ X21 ) ) ) )
=> ( ( sK1 @ ( sK0 @ sK4 @ sK2 ) @ ( sK0 @ sK4 @ sK3 ) )
!= ( sK0 @ sK4 @ ( sK1 @ sK2 @ ( sK0 @ sK4 @ sK3 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f10,plain,
( ? [X26: a,X27: a,X28: a,X29: a,X30: a] :
( ( X28 != X30 )
& ( X27 != X29 )
& ( X26 != X29 )
& ( X28 != X29 )
& ( X26 != X30 )
& ( X26 != X28 )
& ( X27 != X30 )
& ( X26 != X27 )
& ( X27 != X28 )
& ( X29 != X30 ) )
=> ( ( sK9 != sK7 )
& ( sK8 != sK6 )
& ( sK8 != sK5 )
& ( sK8 != sK7 )
& ( sK5 != sK9 )
& ( sK5 != sK7 )
& ( sK9 != sK6 )
& ( sK5 != sK6 )
& ( sK6 != sK7 )
& ( sK8 != sK9 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f7,plain,
? [X0: a > a > a,X1: a > a > a] :
( ! [X2: a,X3: a,X4: a] :
( ( X1 @ X3 @ ( X1 @ X4 @ X2 ) )
= ( X1 @ ( X1 @ X3 @ X4 ) @ X2 ) )
& ! [X5: a] :
( ( X0 @ X5 @ X5 )
= X5 )
& ! [X6: a,X7: a,X8: a,X9: a,X10: a] :
( ( ( X0 @ X9 @ X7 )
!= X9 )
| ( ( X1 @ X6 @ X9 )
!= X6 )
| ( ( X1 @ X10 @ X9 )
!= X9 )
| ( ( X1 @ X10 @ X7 )
!= X7 )
| ( ( X0 @ X10 @ X7 )
!= X10 )
| ( ( X0 @ X10 @ X8 )
!= X10 )
| ( ( X1 @ X8 @ X7 )
!= X7 )
| ( ( X0 @ X6 @ X8 )
!= X10 )
| ( ( X0 @ X8 @ X7 )
!= X8 )
| ( ( X1 @ X10 @ X6 )
!= X6 )
| ( ( X0 @ X10 @ X9 )
!= X10 )
| ( ( X1 @ X10 @ X8 )
!= X8 )
| ( ( X0 @ X6 @ X9 )
!= X9 )
| ( ( X1 @ X6 @ X8 )
!= X7 )
| ( ( X0 @ X10 @ X6 )
!= X10 )
| ( ( X0 @ X8 @ X9 )
!= X10 )
| ( ( X1 @ X9 @ X7 )
!= X7 )
| ( ( X1 @ X8 @ X9 )
!= X7 )
| ( ( X0 @ X6 @ X7 )
!= X6 )
| ( ( X1 @ X6 @ X7 )
!= X7 ) )
& ! [X11: a,X12: a] :
( ( X1 @ ( X0 @ X11 @ X12 ) @ X12 )
= X12 )
& ! [X13: a,X14: a] :
( ( X0 @ X13 @ X14 )
= ( X0 @ X14 @ X13 ) )
& ! [X15: a,X16: a] :
( ( X0 @ ( X1 @ X16 @ X15 ) @ X15 )
= X15 )
& ! [X17: a] :
( ( X1 @ X17 @ X17 )
= X17 )
& ! [X18: a,X19: a] :
( ( X1 @ X18 @ X19 )
= ( X1 @ X19 @ X18 ) )
& ? [X20: a,X21: a,X22: a] :
( ( X1 @ ( X0 @ X22 @ X20 ) @ ( X0 @ X22 @ X21 ) )
!= ( X0 @ X22 @ ( X1 @ X20 @ ( X0 @ X22 @ X21 ) ) ) )
& ! [X23: a,X24: a,X25: a] :
( ( X0 @ X24 @ ( X0 @ X23 @ X25 ) )
= ( X0 @ ( X0 @ X24 @ X23 ) @ X25 ) )
& ? [X26: a,X27: a,X28: a,X29: a,X30: a] :
( ( X28 != X30 )
& ( X27 != X29 )
& ( X26 != X29 )
& ( X28 != X29 )
& ( X26 != X30 )
& ( X26 != X28 )
& ( X27 != X30 )
& ( X26 != X27 )
& ( X27 != X28 )
& ( X29 != X30 ) ) ),
inference(rectify,[status(thm)],[f6]) ).
thf(f6,plain,
? [X1: a > a > a,X0: a > a > a] :
( ! [X20: a,X22: a,X21: a] :
( ( X0 @ ( X0 @ X22 @ X21 ) @ X20 )
= ( X0 @ X22 @ ( X0 @ X21 @ X20 ) ) )
& ! [X9: a] :
( ( X1 @ X9 @ X9 )
= X9 )
& ! [X26: a,X27: a,X30: a,X29: a,X28: a] :
( ( ( X1 @ X29 @ X27 )
!= X29 )
| ( ( X0 @ X26 @ X29 )
!= X26 )
| ( ( X0 @ X28 @ X29 )
!= X29 )
| ( ( X0 @ X28 @ X27 )
!= X27 )
| ( ( X1 @ X28 @ X27 )
!= X28 )
| ( ( X1 @ X28 @ X30 )
!= X28 )
| ( ( X0 @ X30 @ X27 )
!= X27 )
| ( ( X1 @ X26 @ X30 )
!= X28 )
| ( ( X1 @ X30 @ X27 )
!= X30 )
| ( ( X0 @ X28 @ X26 )
!= X26 )
| ( ( X1 @ X28 @ X29 )
!= X28 )
| ( ( X0 @ X28 @ X30 )
!= X30 )
| ( ( X1 @ X26 @ X29 )
!= X29 )
| ( ( X0 @ X26 @ X30 )
!= X27 )
| ( ( X1 @ X28 @ X26 )
!= X28 )
| ( ( X1 @ X30 @ X29 )
!= X28 )
| ( ( X0 @ X29 @ X27 )
!= X27 )
| ( ( X0 @ X30 @ X29 )
!= X27 )
| ( ( X1 @ X26 @ X27 )
!= X26 )
| ( ( X0 @ X26 @ X27 )
!= X27 ) )
& ! [X6: a,X5: a] :
( ( X0 @ ( X1 @ X6 @ X5 ) @ X5 )
= X5 )
& ! [X7: a,X8: a] :
( ( X1 @ X7 @ X8 )
= ( X1 @ X8 @ X7 ) )
& ! [X15: a,X16: a] :
( ( X1 @ ( X0 @ X16 @ X15 ) @ X15 )
= X15 )
& ! [X19: a] :
( ( X0 @ X19 @ X19 )
= X19 )
& ! [X18: a,X17: a] :
( ( X0 @ X17 @ X18 )
= ( X0 @ X18 @ X17 ) )
& ? [X4: a,X3: a,X2: a] :
( ( X1 @ X2 @ ( X0 @ X4 @ ( X1 @ X2 @ X3 ) ) )
!= ( X0 @ ( X1 @ X2 @ X4 ) @ ( X1 @ X2 @ X3 ) ) )
& ! [X24: a,X23: a,X25: a] :
( ( X1 @ ( X1 @ X23 @ X24 ) @ X25 )
= ( X1 @ X23 @ ( X1 @ X24 @ X25 ) ) )
& ? [X14: a,X10: a,X12: a,X13: a,X11: a] :
( ( X11 != X12 )
& ( X10 != X13 )
& ( X13 != X14 )
& ( X12 != X13 )
& ( X11 != X14 )
& ( X12 != X14 )
& ( X10 != X11 )
& ( X10 != X14 )
& ( X10 != X12 )
& ( X11 != X13 ) ) ),
inference(flattening,[status(thm)],[f5]) ).
thf(f5,plain,
? [X0: a > a > a,X1: a > a > a] :
( ! [X26: a,X27: a,X30: a,X29: a,X28: a] :
( ( ( X1 @ X29 @ X27 )
!= X29 )
| ( ( X0 @ X26 @ X29 )
!= X26 )
| ( ( X0 @ X28 @ X29 )
!= X29 )
| ( ( X0 @ X28 @ X27 )
!= X27 )
| ( ( X1 @ X28 @ X27 )
!= X28 )
| ( ( X1 @ X28 @ X30 )
!= X28 )
| ( ( X0 @ X30 @ X27 )
!= X27 )
| ( ( X1 @ X26 @ X30 )
!= X28 )
| ( ( X1 @ X30 @ X27 )
!= X30 )
| ( ( X0 @ X28 @ X26 )
!= X26 )
| ( ( X1 @ X28 @ X29 )
!= X28 )
| ( ( X0 @ X28 @ X30 )
!= X30 )
| ( ( X1 @ X26 @ X29 )
!= X29 )
| ( ( X0 @ X26 @ X30 )
!= X27 )
| ( ( X1 @ X28 @ X26 )
!= X28 )
| ( ( X1 @ X30 @ X29 )
!= X28 )
| ( ( X0 @ X29 @ X27 )
!= X27 )
| ( ( X0 @ X30 @ X29 )
!= X27 )
| ( ( X1 @ X26 @ X27 )
!= X26 )
| ( ( X0 @ X26 @ X27 )
!= X27 ) )
& ! [X20: a,X22: a,X21: a] :
( ( X0 @ ( X0 @ X22 @ X21 ) @ X20 )
= ( X0 @ X22 @ ( X0 @ X21 @ X20 ) ) )
& ! [X7: a,X8: a] :
( ( X1 @ X7 @ X8 )
= ( X1 @ X8 @ X7 ) )
& ! [X19: a] :
( ( X0 @ X19 @ X19 )
= X19 )
& ! [X6: a,X5: a] :
( ( X0 @ ( X1 @ X6 @ X5 ) @ X5 )
= X5 )
& ! [X24: a,X23: a,X25: a] :
( ( X1 @ ( X1 @ X23 @ X24 ) @ X25 )
= ( X1 @ X23 @ ( X1 @ X24 @ X25 ) ) )
& ! [X18: a,X17: a] :
( ( X0 @ X17 @ X18 )
= ( X0 @ X18 @ X17 ) )
& ! [X15: a,X16: a] :
( ( X1 @ ( X0 @ X16 @ X15 ) @ X15 )
= X15 )
& ! [X9: a] :
( ( X1 @ X9 @ X9 )
= X9 )
& ? [X14: a,X10: a,X12: a,X13: a,X11: a] :
( ( X11 != X12 )
& ( X10 != X13 )
& ( X13 != X14 )
& ( X12 != X13 )
& ( X11 != X14 )
& ( X12 != X14 )
& ( X10 != X11 )
& ( X10 != X14 )
& ( X10 != X12 )
& ( X11 != X13 ) )
& ? [X4: a,X3: a,X2: a] :
( ( X1 @ X2 @ ( X0 @ X4 @ ( X1 @ X2 @ X3 ) ) )
!= ( X0 @ ( X1 @ X2 @ X4 ) @ ( X1 @ X2 @ X3 ) ) ) ),
inference(ennf_transformation,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: a > a > a,X1: a > a > a] :
( ( ! [X20: a,X22: a,X21: a] :
( ( X0 @ ( X0 @ X22 @ X21 ) @ X20 )
= ( X0 @ X22 @ ( X0 @ X21 @ X20 ) ) )
& ! [X7: a,X8: a] :
( ( X1 @ X7 @ X8 )
= ( X1 @ X8 @ X7 ) )
& ! [X19: a] :
( ( X0 @ X19 @ X19 )
= X19 )
& ! [X6: a,X5: a] :
( ( X0 @ ( X1 @ X6 @ X5 ) @ X5 )
= X5 )
& ! [X24: a,X23: a,X25: a] :
( ( X1 @ ( X1 @ X23 @ X24 ) @ X25 )
= ( X1 @ X23 @ ( X1 @ X24 @ X25 ) ) )
& ! [X18: a,X17: a] :
( ( X0 @ X17 @ X18 )
= ( X0 @ X18 @ X17 ) )
& ! [X15: a,X16: a] :
( ( X1 @ ( X0 @ X16 @ X15 ) @ X15 )
= X15 )
& ! [X9: a] :
( ( X1 @ X9 @ X9 )
= X9 )
& ? [X14: a,X10: a,X12: a,X13: a,X11: a] :
( ( X11 != X12 )
& ( X10 != X13 )
& ( X13 != X14 )
& ( X12 != X13 )
& ( X11 != X14 )
& ( X12 != X14 )
& ( X10 != X11 )
& ( X10 != X14 )
& ( X10 != X12 )
& ( X11 != X13 ) )
& ~ ! [X4: a,X3: a,X2: a] :
( ( X1 @ X2 @ ( X0 @ X4 @ ( X1 @ X2 @ X3 ) ) )
= ( X0 @ ( X1 @ X2 @ X4 ) @ ( X1 @ X2 @ X3 ) ) ) )
=> ? [X29: a,X28: a,X30: a,X27: a,X26: a] :
( ( ( X0 @ X26 @ X29 )
= X26 )
& ( ( X1 @ X26 @ X29 )
= X29 )
& ( ( X1 @ X30 @ X29 )
= X28 )
& ( ( X0 @ X30 @ X27 )
= X27 )
& ( ( X0 @ X26 @ X27 )
= X27 )
& ( ( X0 @ X28 @ X27 )
= X27 )
& ( ( X0 @ X28 @ X29 )
= X29 )
& ( ( X0 @ X30 @ X29 )
= X27 )
& ( ( X0 @ X28 @ X30 )
= X30 )
& ( ( X1 @ X28 @ X30 )
= X28 )
& ( ( X1 @ X30 @ X27 )
= X30 )
& ( ( X1 @ X26 @ X27 )
= X26 )
& ( ( X1 @ X28 @ X29 )
= X28 )
& ( ( X1 @ X28 @ X26 )
= X28 )
& ( ( X1 @ X28 @ X27 )
= X28 )
& ( ( X1 @ X29 @ X27 )
= X29 )
& ( ( X0 @ X28 @ X26 )
= X26 )
& ( ( X1 @ X26 @ X30 )
= X28 )
& ( ( X0 @ X29 @ X27 )
= X27 )
& ( ( X0 @ X26 @ X30 )
= X27 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X1: a > a > a,X0: a > a > a] :
( ( ~ ! [X2: a,X4: a,X3: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ ( X0 @ X2 @ X4 ) ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) )
& ! [X3: a,X2: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X3: a,X2: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ? [X6: a,X7: a,X2: a,X3: a,X5: a] :
( ( X2 != X5 )
& ( X3 != X5 )
& ( X2 != X3 )
& ( X3 != X6 )
& ( X2 != X7 )
& ( X5 != X7 )
& ( X2 != X6 )
& ( X6 != X7 )
& ( X5 != X6 )
& ( X3 != X7 ) )
& ! [X3: a,X2: a] :
( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X3: a,X2: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X2: a] :
( ( X1 @ X2 @ X2 )
= X2 )
& ! [X4: a,X3: a,X2: a] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
& ! [X2: a,X3: a,X4: a] :
( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
= ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) ) )
=> ? [X5: a,X3: a,X2: a,X7: a,X6: a] :
( ( ( X0 @ X7 @ X3 )
= X7 )
& ( ( X1 @ X5 @ X3 )
= X3 )
& ( ( X0 @ X2 @ X6 )
= X2 )
& ( ( X1 @ X2 @ X5 )
= X5 )
& ( ( X0 @ X6 @ X3 )
= X6 )
& ( ( X1 @ X2 @ X6 )
= X6 )
& ( ( X0 @ X5 @ X3 )
= X5 )
& ( ( X1 @ X2 @ X7 )
= X7 )
& ( ( X1 @ X6 @ X7 )
= X3 )
& ( ( X0 @ X2 @ X7 )
= X2 )
& ( ( X1 @ X5 @ X6 )
= X3 )
& ( ( X0 @ X5 @ X7 )
= X7 )
& ( ( X1 @ X6 @ X3 )
= X3 )
& ( ( X0 @ X6 @ X7 )
= X2 )
& ( ( X1 @ X5 @ X7 )
= X5 )
& ( ( X1 @ X2 @ X3 )
= X3 )
& ( ( X0 @ X2 @ X5 )
= X2 )
& ( ( X0 @ X5 @ X6 )
= X2 )
& ( ( X1 @ X7 @ X3 )
= X3 )
& ( ( X0 @ X2 @ X3 )
= X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X1: a > a > a,X0: a > a > a] :
( ( ~ ! [X2: a,X4: a,X3: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ ( X0 @ X2 @ X4 ) ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) )
& ! [X3: a,X2: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X3: a,X2: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ? [X6: a,X7: a,X2: a,X3: a,X5: a] :
( ( X2 != X5 )
& ( X3 != X5 )
& ( X2 != X3 )
& ( X3 != X6 )
& ( X2 != X7 )
& ( X5 != X7 )
& ( X2 != X6 )
& ( X6 != X7 )
& ( X5 != X6 )
& ( X3 != X7 ) )
& ! [X3: a,X2: a] :
( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X3: a,X2: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X2: a] :
( ( X1 @ X2 @ X2 )
= X2 )
& ! [X4: a,X3: a,X2: a] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
& ! [X2: a,X3: a,X4: a] :
( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
= ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) ) )
=> ? [X5: a,X3: a,X2: a,X7: a,X6: a] :
( ( ( X0 @ X7 @ X3 )
= X7 )
& ( ( X1 @ X5 @ X3 )
= X3 )
& ( ( X0 @ X2 @ X6 )
= X2 )
& ( ( X1 @ X2 @ X5 )
= X5 )
& ( ( X0 @ X6 @ X3 )
= X6 )
& ( ( X1 @ X2 @ X6 )
= X6 )
& ( ( X0 @ X5 @ X3 )
= X5 )
& ( ( X1 @ X2 @ X7 )
= X7 )
& ( ( X1 @ X6 @ X7 )
= X3 )
& ( ( X0 @ X2 @ X7 )
= X2 )
& ( ( X1 @ X5 @ X6 )
= X3 )
& ( ( X0 @ X5 @ X7 )
= X7 )
& ( ( X1 @ X6 @ X3 )
= X3 )
& ( ( X0 @ X6 @ X7 )
= X2 )
& ( ( X1 @ X5 @ X7 )
= X5 )
& ( ( X1 @ X2 @ X3 )
= X3 )
& ( ( X0 @ X2 @ X5 )
= X2 )
& ( ( X0 @ X5 @ X6 )
= X2 )
& ( ( X1 @ X7 @ X3 )
= X3 )
& ( ( X0 @ X2 @ X3 )
= X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.6Wbr7ManBx/DTF2THF_16846.p',cPENTAGON_THM2D_pme) ).
thf(f44,plain,
! [X0: a,X1: a] :
( ( sK0 @ ( sK1 @ X1 @ X0 ) @ X1 )
= X1 ),
inference(superposition,[status(thm)],[f26,f24]) ).
thf(f24,plain,
! [X18: a,X19: a] :
( ( sK1 @ X18 @ X19 )
= ( sK1 @ X19 @ X18 ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f26,plain,
! [X16: a,X15: a] :
( ( sK0 @ ( sK1 @ X16 @ X15 ) @ X15 )
= X15 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f204,plain,
! [X0: a,X1: a] :
( ( sK0 @ X1 @ X0 )
!= ( sK0 @ X0 @ ( sK0 @ X1 @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f199]) ).
thf(f199,plain,
! [X0: a,X1: a] :
( ( ( sK0 @ X1 @ X0 )
!= ( sK0 @ X0 @ ( sK0 @ X1 @ X0 ) ) )
| ( X0 != X0 ) ),
inference(superposition,[status(thm)],[f181,f61]) ).
thf(f61,plain,
! [X0: a,X1: a] :
( ( sK1 @ X1 @ ( sK0 @ X0 @ X1 ) )
= X1 ),
inference(superposition,[status(thm)],[f24,f28]) ).
thf(f181,plain,
! [X0: a,X1: a] :
( ( ( sK1 @ X0 @ X1 )
!= X0 )
| ( ( sK0 @ X0 @ X1 )
!= X1 ) ),
inference(forward_demodulation,[status(thm)],[f180,f48]) ).
thf(f48,plain,
! [X0: a,X1: a] :
( ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) )
= X1 ),
inference(superposition,[status(thm)],[f26,f27]) ).
thf(f27,plain,
! [X14: a,X13: a] :
( ( sK0 @ X13 @ X14 )
= ( sK0 @ X14 @ X13 ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f180,plain,
! [X0: a,X1: a] :
( ( ( sK1 @ X0 @ X1 )
!= X0 )
| ( ( sK0 @ X0 @ X1 )
!= ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f179]) ).
thf(f179,plain,
! [X0: a,X1: a] :
( ( ( sK0 @ X0 @ X1 )
!= ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK1 @ X0 @ X1 )
!= X0 )
| ( ( sK0 @ X0 @ X1 )
!= ( sK0 @ X0 @ X1 ) ) ),
inference(forward_demodulation,[status(thm)],[f178,f48]) ).
thf(f178,plain,
! [X0: a,X1: a] :
( ( ( sK0 @ X0 @ ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) ) )
!= ( sK0 @ X0 @ X1 ) )
| ( ( sK1 @ X0 @ X1 )
!= X0 )
| ( ( sK0 @ X0 @ X1 )
!= ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f177]) ).
thf(f177,plain,
! [X0: a,X1: a] :
( ( ( sK0 @ X0 @ ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) ) )
!= ( sK0 @ X0 @ X1 ) )
| ( ( sK1 @ X0 @ X1 )
!= X0 )
| ( ( sK0 @ X0 @ X1 )
!= ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK1 @ X0 @ X1 )
!= X0 ) ),
inference(forward_demodulation,[status(thm)],[f176,f87]) ).
thf(f87,plain,
! [X0: a,X1: a] :
( ( sK0 @ X0 @ ( sK1 @ X0 @ X1 ) )
= X0 ),
inference(superposition,[status(thm)],[f27,f44]) ).
thf(f176,plain,
! [X0: a,X1: a] :
( ( ( sK1 @ X0 @ X1 )
!= ( sK0 @ X0 @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK1 @ X0 @ X1 )
!= X0 )
| ( ( sK0 @ X0 @ X1 )
!= ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK0 @ X0 @ ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) ) )
!= ( sK0 @ X0 @ X1 ) ) ),
inference(forward_demodulation,[status(thm)],[f175,f94]) ).
thf(f94,plain,
! [X0: a,X1: a] :
( ( sK1 @ X0 @ ( sK1 @ X0 @ X1 ) )
= ( sK1 @ X0 @ X1 ) ),
inference(superposition,[status(thm)],[f31,f25]) ).
thf(f25,plain,
! [X17: a] :
( ( sK1 @ X17 @ X17 )
= X17 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f31,plain,
! [X2: a,X3: a,X4: a] :
( ( sK1 @ ( sK1 @ X3 @ X4 ) @ X2 )
= ( sK1 @ X3 @ ( sK1 @ X4 @ X2 ) ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f175,plain,
! [X0: a,X1: a] :
( ( ( sK1 @ X0 @ ( sK1 @ X0 @ X1 ) )
!= X0 )
| ( ( sK1 @ X0 @ X1 )
!= ( sK0 @ X0 @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK0 @ X0 @ ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) ) )
!= ( sK0 @ X0 @ X1 ) )
| ( ( sK0 @ X0 @ X1 )
!= ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) ) ) ),
inference(subsumption_resolution,[status(thm)],[f174,f118]) ).
thf(f118,plain,
! [X0: a,X1: a] :
( ( sK1 @ X1 @ X0 )
= ( sK1 @ X0 @ ( sK1 @ X1 @ X0 ) ) ),
inference(superposition,[status(thm)],[f28,f48]) ).
thf(f174,plain,
! [X0: a,X1: a] :
( ( ( sK1 @ X0 @ ( sK1 @ X0 @ X1 ) )
!= X0 )
| ( ( sK0 @ X0 @ X1 )
!= ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK1 @ X0 @ X1 )
!= ( sK0 @ X0 @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK1 @ X0 @ X1 )
!= ( sK1 @ X1 @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK0 @ X0 @ ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) ) )
!= ( sK0 @ X0 @ X1 ) ) ),
inference(subsumption_resolution,[status(thm)],[f173,f30]) ).
thf(f30,plain,
! [X5: a] :
( ( sK0 @ X5 @ X5 )
= X5 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f173,plain,
! [X0: a,X1: a] :
( ( ( sK1 @ X0 @ X1 )
!= ( sK0 @ ( sK1 @ X0 @ X1 ) @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK1 @ X0 @ X1 )
!= ( sK1 @ X1 @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK0 @ X0 @ ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) ) )
!= ( sK0 @ X0 @ X1 ) )
| ( ( sK1 @ X0 @ X1 )
!= ( sK0 @ X0 @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK0 @ X0 @ X1 )
!= ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK1 @ X0 @ ( sK1 @ X0 @ X1 ) )
!= X0 ) ),
inference(subsumption_resolution,[status(thm)],[f156,f133]) ).
thf(f133,plain,
! [X2: a,X0: a,X1: a] :
( ( sK1 @ ( sK0 @ X0 @ X1 ) @ ( sK1 @ X0 @ X2 ) )
= ( sK1 @ X0 @ X2 ) ),
inference(superposition,[status(thm)],[f31,f56]) ).
thf(f56,plain,
! [X0: a,X1: a] :
( ( sK1 @ ( sK0 @ X1 @ X0 ) @ X1 )
= X1 ),
inference(superposition,[status(thm)],[f28,f27]) ).
thf(f156,plain,
! [X0: a,X1: a] :
( ( ( sK1 @ X0 @ X1 )
!= ( sK1 @ ( sK0 @ X0 @ X1 ) @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK1 @ X0 @ X1 )
!= ( sK0 @ ( sK1 @ X0 @ X1 ) @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK0 @ X0 @ X1 )
!= ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK1 @ X0 @ X1 )
!= ( sK0 @ X0 @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK1 @ X0 @ X1 )
!= ( sK1 @ X1 @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK0 @ X0 @ ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) ) )
!= ( sK0 @ X0 @ X1 ) )
| ( ( sK1 @ X0 @ ( sK1 @ X0 @ X1 ) )
!= X0 ) ),
inference(trivial_inequality_removal,[status(thm)],[f147]) ).
thf(f147,plain,
! [X0: a,X1: a] :
( ( ( sK1 @ X0 @ X1 )
!= ( sK0 @ X0 @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK0 @ X0 @ ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) ) )
!= ( sK0 @ X0 @ X1 ) )
| ( ( sK1 @ X0 @ X1 )
!= ( sK1 @ X1 @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK1 @ X0 @ X1 )
!= ( sK0 @ ( sK1 @ X0 @ X1 ) @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK1 @ X0 @ X1 )
!= ( sK1 @ X0 @ X1 ) )
| ( ( sK1 @ X0 @ X1 )
!= ( sK1 @ ( sK0 @ X0 @ X1 ) @ ( sK1 @ X0 @ X1 ) ) )
| ( ( sK1 @ X0 @ ( sK1 @ X0 @ X1 ) )
!= X0 )
| ( ( sK0 @ X0 @ X1 )
!= ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) ) ) ),
inference(superposition,[status(thm)],[f140,f25]) ).
thf(f140,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ ( sK0 @ X8 @ X9 ) ) )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK1 @ X6 @ X9 )
!= X6 ) ),
inference(subsumption_resolution,[status(thm)],[f139,f133]) ).
thf(f139,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ ( sK0 @ X8 @ X9 ) ) )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK1 @ X6 @ X9 )
!= X6 ) ),
inference(trivial_inequality_removal,[status(thm)],[f138]) ).
thf(f138,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( X6 != X6 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ ( sK0 @ X8 @ X9 ) ) )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) ) ),
inference(backward_demodulation,[status(thm)],[f122,f137]) ).
thf(f137,plain,
! [X0: a,X1: a] :
( ( sK1 @ X0 @ ( sK0 @ X0 @ X1 ) )
= X0 ),
inference(superposition,[status(thm)],[f24,f56]) ).
thf(f122,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= X6 )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ ( sK0 @ X8 @ X9 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f120]) ).
thf(f120,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= X6 )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ ( sK0 @ X8 @ X9 ) ) )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X9 )
!= X6 ) ),
inference(backward_demodulation,[status(thm)],[f110,f118]) ).
thf(f110,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ ( sK0 @ X8 @ X9 ) ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= X6 ) ),
inference(trivial_inequality_removal,[status(thm)],[f109]) ).
thf(f109,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK1 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= X6 )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ ( sK0 @ X8 @ X9 ) ) )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) ) ),
inference(backward_demodulation,[status(thm)],[f93,f94]) ).
thf(f93,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= ( sK1 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= X6 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ ( sK0 @ X8 @ X9 ) ) )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f91]) ).
thf(f91,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK1 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= ( sK1 @ X6 @ X8 ) )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ ( sK0 @ X8 @ X9 ) ) )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= X6 )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ X8 ) ) ),
inference(backward_demodulation,[status(thm)],[f90,f82]) ).
thf(f90,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK1 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= X6 )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X8 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= ( sK1 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ ( sK0 @ X8 @ X9 ) ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 ) ),
inference(trivial_inequality_removal,[status(thm)],[f89]) ).
thf(f89,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK0 @ X8 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ ( sK0 @ X8 @ X9 ) ) )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= X6 )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= ( sK1 @ X6 @ X8 ) )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( X6 != X6 ) ),
inference(backward_demodulation,[status(thm)],[f78,f87]) ).
thf(f78,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= X6 )
| ( ( sK0 @ X8 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= X6 )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ ( sK0 @ X8 @ X9 ) ) )
| ( ( sK1 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= ( sK1 @ X6 @ X8 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f77]) ).
thf(f77,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK0 @ X8 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ ( sK0 @ X8 @ X9 ) ) )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= ( sK1 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK0 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= X6 )
| ( ( sK1 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= X6 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK1 @ X6 @ X9 )
!= X6 ) ),
inference(backward_demodulation,[status(thm)],[f53,f63]) ).
thf(f63,plain,
! [X0: a,X1: a] :
( ( sK0 @ X0 @ ( sK0 @ X0 @ X1 ) )
= ( sK0 @ X0 @ X1 ) ),
inference(superposition,[status(thm)],[f22,f30]) ).
thf(f22,plain,
! [X24: a,X25: a,X23: a] :
( ( sK0 @ ( sK0 @ X24 @ X23 ) @ X25 )
= ( sK0 @ X24 @ ( sK0 @ X23 @ X25 ) ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f53,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK0 @ X8 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= X6 )
| ( ( sK1 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= ( sK1 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ ( sK0 @ X8 @ X9 ) ) )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK0 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= X6 ) ),
inference(trivial_inequality_removal,[status(thm)],[f52]) ).
thf(f52,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ ( sK0 @ X8 @ X9 ) ) )
| ( ( sK1 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= ( sK1 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= X6 )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= X6 )
| ( ( sK0 @ X8 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) ) ),
inference(forward_demodulation,[status(thm)],[f51,f48]) ).
thf(f51,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK0 @ X6 @ ( sK0 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK0 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= X6 )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ ( sK0 @ X8 @ X9 ) ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK0 @ X8 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= ( sK1 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= X6 ) ),
inference(trivial_inequality_removal,[status(thm)],[f50]) ).
thf(f50,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK1 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= ( sK1 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
| ( X8 != X8 )
| ( ( sK0 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= X6 )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ ( sK0 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= X6 )
| ( ( sK0 @ X8 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ ( sK0 @ X8 @ X9 ) ) ) ),
inference(backward_demodulation,[status(thm)],[f42,f48]) ).
thf(f42,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK0 @ X8 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ ( sK0 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= X6 )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ ( sK0 @ X8 @ X9 ) ) )
| ( ( sK0 @ X8 @ ( sK1 @ X6 @ X8 ) )
!= X8 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= X6 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK1 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= ( sK1 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ X9 )
!= X9 ) ),
inference(backward_demodulation,[status(thm)],[f41,f24]) ).
thf(f41,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X6 @ ( sK0 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= X6 )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X8 @ ( sK1 @ X6 @ X8 ) )
!= X8 )
| ( ( sK1 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= ( sK1 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ ( sK0 @ X8 @ X9 ) ) )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK0 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X8 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X6 )
!= X6 ) ),
inference(forward_demodulation,[status(thm)],[f40,f22]) ).
thf(f40,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK0 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= X6 )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X6 )
!= X6 )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= ( sK1 @ X6 @ X8 ) )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK0 @ X8 @ ( sK1 @ X6 @ X8 ) )
!= X8 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ X6 @ ( sK0 @ X8 @ X9 ) ) )
| ( ( sK0 @ X8 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) ) ),
inference(backward_demodulation,[status(thm)],[f39,f22]) ).
thf(f39,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK0 @ X8 @ ( sK1 @ X6 @ X8 ) )
!= X8 )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK0 @ X8 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X6 )
!= X6 )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK0 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK0 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= X6 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= ( sK1 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f38]) ).
thf(f38,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X8 @ ( sK1 @ X6 @ X8 ) )
!= X8 )
| ( ( sK0 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X6 )
!= X6 )
| ( ( sK1 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= ( sK1 @ X6 @ X8 ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK0 @ X8 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= X6 )
| ( ( sK0 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( X8 != X8 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK1 @ X6 @ X9 )
!= X6 ) ),
inference(backward_demodulation,[status(thm)],[f35,f28]) ).
thf(f35,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK0 @ X8 @ ( sK1 @ X6 @ X8 ) )
!= X8 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X8 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X8 )
!= X8 )
| ( ( sK0 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK0 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= X6 )
| ( ( sK0 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X6 )
!= X6 )
| ( ( sK1 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= ( sK1 @ X6 @ X8 ) )
| ( ( sK0 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ ( sK1 @ X6 @ X8 ) ) ) ),
inference(forward_demodulation,[status(thm)],[f34,f27]) ).
thf(f34,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK0 @ ( sK0 @ X6 @ X8 ) @ X8 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= ( sK1 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ ( sK0 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X8 @ ( sK1 @ X6 @ X8 ) )
!= X8 )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X6 )
!= X6 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X8 )
!= X8 )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK0 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= X6 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) ) ),
inference(backward_demodulation,[status(thm)],[f33,f27]) ).
thf(f33,plain,
! [X8: a,X6: a,X9: a] :
( ( ( sK0 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= X6 )
| ( ( sK1 @ X6 @ ( sK1 @ X6 @ X8 ) )
!= ( sK1 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ ( sK0 @ X6 @ X8 ) @ X8 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X8 )
!= X8 )
| ( ( sK0 @ X9 @ ( sK1 @ X6 @ X8 ) )
!= X9 )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK0 @ ( sK0 @ X6 @ X8 ) @ X6 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK0 @ ( sK0 @ X6 @ X8 ) @ ( sK1 @ X6 @ X8 ) )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X9 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X6 )
!= X6 )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ ( sK1 @ X6 @ X8 ) ) )
| ( ( sK1 @ X6 @ X8 )
!= ( sK1 @ X8 @ X9 ) )
| ( ( sK0 @ X8 @ ( sK1 @ X6 @ X8 ) )
!= X8 ) ),
inference(equality_resolution,[status(thm)],[f32]) ).
thf(f32,plain,
! [X8: a,X6: a,X9: a,X7: a] :
( ( ( sK0 @ X9 @ X7 )
!= X9 )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= X9 )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X7 )
!= X7 )
| ( ( sK0 @ X6 @ X8 )
!= ( sK0 @ ( sK0 @ X6 @ X8 ) @ X7 ) )
| ( ( sK0 @ ( sK0 @ X6 @ X8 ) @ X8 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X8 @ X7 )
!= X7 )
| ( ( sK0 @ X8 @ X7 )
!= X8 )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X6 )
!= X6 )
| ( ( sK0 @ ( sK0 @ X6 @ X8 ) @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ ( sK0 @ X6 @ X8 ) @ X8 )
!= X8 )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= X7 )
| ( ( sK0 @ ( sK0 @ X6 @ X8 ) @ X6 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK0 @ X8 @ X9 )
!= ( sK0 @ X6 @ X8 ) )
| ( ( sK1 @ X9 @ X7 )
!= X7 )
| ( ( sK1 @ X8 @ X9 )
!= X7 )
| ( ( sK0 @ X6 @ X7 )
!= X6 )
| ( ( sK1 @ X6 @ X7 )
!= X7 ) ),
inference(equality_resolution,[status(thm)],[f29]) ).
thf(f29,plain,
! [X10: a,X8: a,X6: a,X9: a,X7: a] :
( ( ( sK0 @ X9 @ X7 )
!= X9 )
| ( ( sK1 @ X6 @ X9 )
!= X6 )
| ( ( sK1 @ X10 @ X9 )
!= X9 )
| ( ( sK1 @ X10 @ X7 )
!= X7 )
| ( ( sK0 @ X10 @ X7 )
!= X10 )
| ( ( sK0 @ X10 @ X8 )
!= X10 )
| ( ( sK1 @ X8 @ X7 )
!= X7 )
| ( ( sK0 @ X6 @ X8 )
!= X10 )
| ( ( sK0 @ X8 @ X7 )
!= X8 )
| ( ( sK1 @ X10 @ X6 )
!= X6 )
| ( ( sK0 @ X10 @ X9 )
!= X10 )
| ( ( sK1 @ X10 @ X8 )
!= X8 )
| ( ( sK0 @ X6 @ X9 )
!= X9 )
| ( ( sK1 @ X6 @ X8 )
!= X7 )
| ( ( sK0 @ X10 @ X6 )
!= X10 )
| ( ( sK0 @ X8 @ X9 )
!= X10 )
| ( ( sK1 @ X9 @ X7 )
!= X7 )
| ( ( sK1 @ X8 @ X9 )
!= X7 )
| ( ( sK0 @ X6 @ X7 )
!= X6 )
| ( ( sK1 @ X6 @ X7 )
!= X7 ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV006^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.34 % Computer : n025.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Feb 24 12:37:57 EST 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.29/0.46 ---- Original DTF file ---
% 0.29/0.46 thf(spec,logic,$$dhol).
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 % File : SEV006^5 : TPTP v9.2.1. Released v4.0.0.
% 0.29/0.46 % Domain : Set Theory (Relations)
% 0.29/0.46 % Problem : TPS problem from LATTICES-THMS
% 0.29/0.46 % Version : Especial.
% 0.29/0.46 % English :
% 0.29/0.46
% 0.29/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.29/0.46 % Source : [Bro09]
% 0.29/0.46 % Names : tps_1230 [Bro09]
% 0.29/0.46
% 0.29/0.46 % Status : Theorem
% 0.29/0.46 % Rating : 0.11 v9.1.0, 0.12 v9.0.0, 0.20 v8.2.0, 0.15 v8.1.0, 0.09 v7.5.0, 0.14 v7.4.0, 0.22 v7.2.0, 0.12 v7.1.0, 0.38 v7.0.0, 0.29 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.43 v5.5.0, 0.33 v5.4.0, 0.40 v5.2.0, 0.60 v5.0.0, 0.40 v4.1.0, 0.00 v4.0.1, 0.33 v4.0.0
% 0.29/0.46 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.29/0.46 % Number of atoms : 39 ( 39 equ; 0 cnn)
% 0.29/0.46 % Maximal formula atoms : 39 ( 39 avg)
% 0.29/0.46 % Number of connectives : 137 ( 11 ~; 0 |; 37 &; 88 @)
% 0.29/0.46 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.29/0.46 % Maximal formula depth : 28 ( 28 avg)
% 0.29/0.46 % Number of types : 1 ( 1 usr)
% 0.29/0.46 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 0.29/0.46 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.29/0.46 % Number of variables : 31 ( 0 ^; 21 !; 10 ?; 31 :)
% 0.29/0.46 % SPC : TH0_THM_EQU_NAR
% 0.29/0.46
% 0.29/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.29/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.29/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.29/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 thf(a_type,type,
% 0.29/0.46 a: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(cPENTAGON_THM2D_pme,conjecture,
% 0.29/0.46 ! [JOIN: a > a > a,MEET: a > a > a] :
% 0.29/0.46 ( ( ! [Xx: a] :
% 0.29/0.46 ( ( JOIN @ Xx @ Xx )
% 0.29/0.46 = Xx )
% 0.29/0.46 & ! [Xx: a] :
% 0.29/0.46 ( ( MEET @ Xx @ Xx )
% 0.29/0.46 = Xx )
% 0.29/0.46 & ! [Xx: a,Xy: a,Xz: a] :
% 0.29/0.46 ( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
% 0.29/0.46 = ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
% 0.29/0.46 & ! [Xx: a,Xy: a,Xz: a] :
% 0.29/0.46 ( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
% 0.29/0.46 = ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
% 0.29/0.46 & ! [Xx: a,Xy: a] :
% 0.29/0.46 ( ( JOIN @ Xx @ Xy )
% 0.29/0.46 = ( JOIN @ Xy @ Xx ) )
% 0.29/0.46 & ! [Xx: a,Xy: a] :
% 0.29/0.46 ( ( MEET @ Xx @ Xy )
% 0.29/0.46 = ( MEET @ Xy @ Xx ) )
% 0.29/0.46 & ! [Xx: a,Xy: a] :
% 0.29/0.46 ( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
% 0.29/0.46 = Xy )
% 0.29/0.46 & ! [Xx: a,Xy: a] :
% 0.29/0.46 ( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
% 0.29/0.46 = Xy )
% 0.29/0.46 & ? [Xx: a,Xy: a,Xa: a,Xb: a,Xc: a] :
% 0.29/0.46 ( ( Xa != Xb )
% 0.29/0.46 & ( Xa != Xc )
% 0.29/0.46 & ( Xa != Xx )
% 0.29/0.46 & ( Xa != Xy )
% 0.29/0.46 & ( Xb != Xc )
% 0.29/0.46 & ( Xb != Xx )
% 0.29/0.46 & ( Xb != Xy )
% 0.29/0.46 & ( Xc != Xx )
% 0.29/0.46 & ( Xc != Xy )
% 0.29/0.46 & ( Xx != Xy ) )
% 0.29/0.46 & ~ ! [Xx: a,Xy: a,Xz: a] :
% 0.29/0.46 ( ( JOIN @ Xx @ ( MEET @ Xy @ ( JOIN @ Xx @ Xz ) ) )
% 0.29/0.46 = ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) ) )
% 0.29/0.46 => ? [Xx: a,Xy: a,Xa: a,Xb: a,Xc: a] :
% 0.29/0.46 ( ( ( MEET @ Xx @ Xy )
% 0.29/0.46 = Xy )
% 0.29/0.46 & ( ( JOIN @ Xx @ Xy )
% 0.29/0.46 = Xx )
% 0.29/0.46 & ( ( MEET @ Xx @ Xa )
% 0.29/0.46 = Xa )
% 0.29/0.46 & ( ( JOIN @ Xx @ Xa )
% 0.29/0.46 = Xx )
% 0.29/0.46 & ( ( MEET @ Xx @ Xb )
% 0.29/0.46 = Xb )
% 0.29/0.46 & ( ( JOIN @ Xx @ Xb )
% 0.29/0.46 = Xx )
% 0.29/0.46 & ( ( MEET @ Xx @ Xc )
% 0.29/0.46 = Xc )
% 0.29/0.46 & ( ( JOIN @ Xx @ Xc )
% 0.29/0.46 = Xx )
% 0.29/0.46 & ( ( MEET @ Xa @ Xb )
% 0.29/0.46 = Xy )
% 0.29/0.46 & ( ( JOIN @ Xa @ Xb )
% 0.29/0.46 = Xx )
% 0.29/0.46 & ( ( MEET @ Xa @ Xc )
% 0.29/0.46 = Xa )
% 0.29/0.46 & ( ( JOIN @ Xa @ Xc )
% 0.29/0.46 = Xc )
% 0.29/0.46 & ( ( MEET @ Xa @ Xy )
% 0.29/0.46 = Xy )
% 0.29/0.46 & ( ( JOIN @ Xa @ Xy )
% 0.29/0.46 = Xa )
% 0.29/0.46 & ( ( MEET @ Xb @ Xc )
% 0.29/0.46 = Xy )
% 0.29/0.46 & ( ( JOIN @ Xb @ Xc )
% 0.29/0.46 = Xx )
% 0.29/0.46 & ( ( MEET @ Xb @ Xy )
% 0.29/0.46 = Xy )
% 0.29/0.46 & ( ( JOIN @ Xb @ Xy )
% 0.29/0.46 = Xb )
% 0.29/0.46 & ( ( MEET @ Xc @ Xy )
% 0.29/0.46 = Xy )
% 0.29/0.46 & ( ( JOIN @ Xc @ Xy )
% 0.29/0.46 = Xc ) ) ) ).
% 0.29/0.46
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 ------------------------
% 1.69/1.31 ---- Embedded in THF ---
% 1.69/1.31 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.69/1.31 %%% Generated on Tue Feb 24 12:37:58 EST 2026
% 1.69/1.31 %%% using '$$dhol' embedding, version 1.3.0.
% 1.69/1.31 %%% Logic specification used:
% 1.69/1.31 %%% thf(spec, logic, $$dhol).
% 1.69/1.31
% 1.69/1.31 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.6Wbr7ManBx/DTF2DTF16846.p
% See solution above
% 1.69/1.31 ------------------------
% 1.69/1.32 ---- Cleaned THF ---
% 1.69/1.32 thf(a_type,type,
% 1.69/1.32 a: $tType ).
% 1.69/1.32
% 1.69/1.32 thf(cPENTAGON_THM2D_pme,conjecture,
% 1.69/1.32 ! [JOIN: a > a > a,MEET: a > a > a] :
% 1.69/1.32 ( ( ! [Xx: a] :
% 1.69/1.32 ( ( JOIN @ Xx @ Xx )
% 1.69/1.32 = Xx )
% 1.69/1.32 & ! [Xx: a] :
% 1.69/1.32 ( ( MEET @ Xx @ Xx )
% 1.69/1.32 = Xx )
% 1.69/1.32 & ! [Xx: a,Xy: a,Xz: a] :
% 1.69/1.32 ( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
% 1.69/1.32 = ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
% 1.69/1.32 & ! [Xx: a,Xy: a,Xz: a] :
% 1.69/1.32 ( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
% 1.69/1.32 = ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
% 1.69/1.32 & ! [Xx: a,Xy: a] :
% 1.69/1.32 ( ( JOIN @ Xx @ Xy )
% 1.69/1.32 = ( JOIN @ Xy @ Xx ) )
% 1.69/1.32 & ! [Xx: a,Xy: a] :
% 1.69/1.32 ( ( MEET @ Xx @ Xy )
% 1.69/1.32 = ( MEET @ Xy @ Xx ) )
% 1.69/1.32 & ! [Xx: a,Xy: a] :
% 1.69/1.32 ( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
% 1.69/1.32 = Xy )
% 1.69/1.32 & ! [Xx: a,Xy: a] :
% 1.69/1.32 ( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
% 1.69/1.32 = Xy )
% 1.69/1.32 & ? [Xx: a,Xy: a,Xa: a,Xb: a,Xc: a] :
% 1.69/1.32 ( ( Xa != Xb )
% 1.69/1.32 & ( Xa != Xc )
% 1.69/1.32 & ( Xa != Xx )
% 1.69/1.32 & ( Xa != Xy )
% 1.69/1.32 & ( Xb != Xc )
% 1.69/1.32 & ( Xb != Xx )
% 1.69/1.32 & ( Xb != Xy )
% 1.69/1.32 & ( Xc != Xx )
% 1.69/1.32 & ( Xc != Xy )
% 1.69/1.32 & ( Xx != Xy ) )
% 1.69/1.32 & ~ ! [Xx: a,Xy: a,Xz: a] :
% 1.69/1.32 ( ( JOIN @ Xx @ ( MEET @ Xy @ ( JOIN @ Xx @ Xz ) ) )
% 1.69/1.32 = ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) ) )
% 1.69/1.32 => ? [Xx: a,Xy: a,Xa: a,Xb: a,Xc: a] :
% 1.69/1.32 ( ( ( MEET @ Xx @ Xy )
% 1.69/1.32 = Xy )
% 1.69/1.32 & ( ( JOIN @ Xx @ Xy )
% 1.69/1.32 = Xx )
% 1.69/1.32 & ( ( MEET @ Xx @ Xa )
% 1.69/1.32 = Xa )
% 1.69/1.32 & ( ( JOIN @ Xx @ Xa )
% 1.69/1.32 = Xx )
% 1.69/1.32 & ( ( MEET @ Xx @ Xb )
% 1.69/1.32 = Xb )
% 1.69/1.32 & ( ( JOIN @ Xx @ Xb )
% 1.69/1.32 = Xx )
% 1.69/1.32 & ( ( MEET @ Xx @ Xc )
% 1.69/1.32 = Xc )
% 1.69/1.32 & ( ( JOIN @ Xx @ Xc )
% 1.69/1.32 = Xx )
% 1.69/1.32 & ( ( MEET @ Xa @ Xb )
% 1.69/1.32 = Xy )
% 1.69/1.32 & ( ( JOIN @ Xa @ Xb )
% 1.69/1.32 = Xx )
% 1.69/1.32 & ( ( MEET @ Xa @ Xc )
% 1.69/1.32 = Xa )
% 1.69/1.32 & ( ( JOIN @ Xa @ Xc )
% 1.69/1.32 = Xc )
% 1.69/1.32 & ( ( MEET @ Xa @ Xy )
% 1.69/1.32 = Xy )
% 1.69/1.32 & ( ( JOIN @ Xa @ Xy )
% 1.69/1.32 = Xa )
% 1.69/1.32 & ( ( MEET @ Xb @ Xc )
% 1.69/1.32 = Xy )
% 1.69/1.32 & ( ( JOIN @ Xb @ Xc )
% 1.69/1.32 = Xx )
% 1.69/1.32 & ( ( MEET @ Xb @ Xy )
% 1.69/1.32 = Xy )
% 1.69/1.32 & ( ( JOIN @ Xb @ Xy )
% 1.69/1.32 = Xb )
% 1.69/1.32 & ( ( MEET @ Xc @ Xy )
% 1.69/1.32 = Xy )
% 1.69/1.32 & ( ( JOIN @ Xc @ Xy )
% 1.69/1.32 = Xc ) ) ) ).
% 1.69/1.32 ------------------------
% 1.69/1.34 % (17068)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_16846 for (2999ds/275Mi)
% 1.69/1.34 % (17069)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/18Mi)
% 1.69/1.34 % (17069)Instruction limit reached!
% 1.69/1.34 % (17069)------------------------------
% 1.69/1.34 % (17069)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.34 % (17069)Termination reason: Unknown
% 1.69/1.34 % (17069)Termination phase: Saturation
% 1.69/1.34
% 1.69/1.34 % (17069)Memory used [KB]: 5628
% 1.69/1.34 % (17069)Time elapsed: 0.007 s
% 1.69/1.34 % (17069)Instructions burned: 18 (million)
% 1.69/1.34 % (17069)------------------------------
% 1.69/1.34 % (17069)------------------------------
% 1.69/1.34 % (17063)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/183Mi)
% 1.69/1.34 % (17064)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_16846 for (2999ds/4Mi)
% 1.69/1.34 % (17066)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/2Mi)
% 1.69/1.34 % (17065)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_16846 for (2999ds/27Mi)
% 1.69/1.34 % (17067)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_16846 for (2999ds/2Mi)
% 1.69/1.34 % (17066)Instruction limit reached!
% 1.69/1.34 % (17066)------------------------------
% 1.69/1.34 % (17066)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.34 % (17066)Termination reason: Unknown
% 1.69/1.34 % (17066)Termination phase: Preprocessing 3
% 1.69/1.34
% 1.69/1.34 % (17066)Memory used [KB]: 1023
% 1.69/1.34 % (17066)Time elapsed: 0.003 s
% 1.69/1.34 % (17066)Instructions burned: 2 (million)
% 1.69/1.34 % (17066)------------------------------
% 1.69/1.34 % (17066)------------------------------
% 1.69/1.34 % (17067)Instruction limit reached!
% 1.69/1.34 % (17067)------------------------------
% 1.69/1.34 % (17067)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.34 % (17067)Termination reason: Unknown
% 1.69/1.34 % (17067)Termination phase: shuffling
% 1.69/1.34
% 1.69/1.34 % (17067)Memory used [KB]: 1023
% 1.69/1.34 % (17067)Time elapsed: 0.003 s
% 1.69/1.34 % (17067)Instructions burned: 2 (million)
% 1.69/1.34 % (17067)------------------------------
% 1.69/1.34 % (17067)------------------------------
% 1.69/1.34 % (17064)Instruction limit reached!
% 1.69/1.34 % (17064)------------------------------
% 1.69/1.34 % (17064)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.34 % (17064)Termination reason: Unknown
% 1.69/1.34 % (17064)Termination phase: Equality resolution with deletion
% 1.69/1.34
% 1.69/1.34 % (17064)Memory used [KB]: 1023
% 1.69/1.34 % (17064)Time elapsed: 0.004 s
% 1.69/1.34 % (17064)Instructions burned: 4 (million)
% 1.69/1.34 % (17064)------------------------------
% 1.69/1.34 % (17064)------------------------------
% 1.69/1.35 % (17070)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/3Mi)
% 1.69/1.35 % (17070)Instruction limit reached!
% 1.69/1.35 % (17070)------------------------------
% 1.69/1.35 % (17070)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.35 % (17070)Termination reason: Unknown
% 1.69/1.35 % (17070)Termination phase: Equality resolution with deletion
% 1.69/1.35
% 1.69/1.35 % (17070)Memory used [KB]: 1023
% 1.69/1.35 % (17070)Time elapsed: 0.003 s
% 1.69/1.35 % (17070)Instructions burned: 4 (million)
% 1.69/1.35 % (17070)------------------------------
% 1.69/1.35 % (17070)------------------------------
% 1.69/1.36 % (17065)Instruction limit reached!
% 1.69/1.36 % (17065)------------------------------
% 1.69/1.36 % (17065)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.36 % (17065)Termination reason: Unknown
% 1.69/1.36 % (17065)Termination phase: Saturation
% 1.69/1.36
% 1.69/1.36 % (17065)Memory used [KB]: 5628
% 1.69/1.36 % (17065)Time elapsed: 0.018 s
% 1.69/1.36 % (17065)Instructions burned: 27 (million)
% 1.69/1.36 % (17065)------------------------------
% 1.69/1.36 % (17065)------------------------------
% 1.69/1.36 % (17074)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/3Mi)
% 1.69/1.36 % (17072)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/37Mi)
% 1.69/1.36 % (17073)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/15Mi)
% 1.69/1.36 % (17074)Instruction limit reached!
% 1.69/1.36 % (17074)------------------------------
% 1.69/1.36 % (17074)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.36 % (17074)Termination reason: Unknown
% 1.69/1.36 % (17074)Termination phase: Property scanning
% 1.69/1.36
% 1.69/1.36 % (17074)Memory used [KB]: 1023
% 1.69/1.36 % (17074)Time elapsed: 0.003 s
% 1.69/1.36 % (17074)Instructions burned: 5 (million)
% 1.69/1.36 % (17074)------------------------------
% 1.69/1.36 % (17074)------------------------------
% 1.69/1.36 % (17075)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/1041Mi)
% 1.69/1.37 % (17073)Instruction limit reached!
% 1.69/1.37 % (17073)------------------------------
% 1.69/1.37 % (17073)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.37 % (17073)Termination reason: Unknown
% 1.69/1.37 % (17073)Termination phase: Saturation
% 1.69/1.37
% 1.69/1.37 % (17073)Memory used [KB]: 5628
% 1.69/1.37 % (17073)Time elapsed: 0.011 s
% 1.69/1.37 % (17073)Instructions burned: 15 (million)
% 1.69/1.37 % (17073)------------------------------
% 1.69/1.37 % (17073)------------------------------
% 1.69/1.37 % (17077)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/16Mi)
% 1.69/1.38 % (17076)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/7Mi)
% 1.69/1.38 % (17077)Instruction limit reached!
% 1.69/1.38 % (17077)------------------------------
% 1.69/1.38 % (17077)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.38 % (17077)Termination reason: Unknown
% 1.69/1.38 % (17077)Termination phase: Saturation
% 1.69/1.38
% 1.69/1.38 % (17077)Memory used [KB]: 5628
% 1.69/1.38 % (17077)Time elapsed: 0.007 s
% 1.69/1.38 % (17077)Instructions burned: 16 (million)
% 1.69/1.38 % (17077)------------------------------
% 1.69/1.38 % (17077)------------------------------
% 1.69/1.38 % (17076)Instruction limit reached!
% 1.69/1.38 % (17076)------------------------------
% 1.69/1.38 % (17076)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.38 % (17076)Termination reason: Unknown
% 1.69/1.38 % (17076)Termination phase: Saturation
% 1.69/1.38
% 1.69/1.38 % (17076)Memory used [KB]: 1023
% 1.69/1.38 % (17076)Time elapsed: 0.006 s
% 1.69/1.38 % (17076)Instructions burned: 7 (million)
% 1.69/1.38 % (17072)Instruction limit reached!
% 1.69/1.38 % (17072)------------------------------
% 1.69/1.38 % (17072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.38 % (17076)------------------------------
% 1.69/1.38 % (17076)------------------------------
% 1.69/1.38 % (17072)Termination reason: Unknown
% 1.69/1.38 % (17072)Termination phase: Saturation
% 1.69/1.38
% 1.69/1.38 % (17072)Memory used [KB]: 5628
% 1.69/1.38 % (17072)Time elapsed: 0.021 s
% 1.69/1.38 % (17072)Instructions burned: 38 (million)
% 1.69/1.38 % (17072)------------------------------
% 1.69/1.38 % (17072)------------------------------
% 1.69/1.39 % (17078)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/3Mi)
% 1.69/1.39 % (17078)Instruction limit reached!
% 1.69/1.39 % (17078)------------------------------
% 1.69/1.39 % (17078)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.39 % (17078)Termination reason: Unknown
% 1.69/1.39 % (17078)Termination phase: Preprocessing 3
% 1.69/1.39
% 1.69/1.39 % (17078)Memory used [KB]: 1023
% 1.69/1.39 % (17078)Time elapsed: 0.003 s
% 1.69/1.39 % (17078)Instructions burned: 3 (million)
% 1.69/1.39 % (17078)------------------------------
% 1.69/1.39 % (17078)------------------------------
% 1.69/1.39 % (17079)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/3Mi)
% 1.69/1.39 % (17079)Instruction limit reached!
% 1.69/1.39 % (17079)------------------------------
% 1.69/1.39 % (17079)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.39 % (17079)Termination reason: Unknown
% 1.69/1.39 % (17079)Termination phase: Preprocessing 3
% 1.69/1.39
% 1.69/1.39 % (17079)Memory used [KB]: 1023
% 1.69/1.39 % (17079)Time elapsed: 0.003 s
% 1.69/1.39 % (17079)Instructions burned: 4 (million)
% 1.69/1.39 % (17079)------------------------------
% 1.69/1.39 % (17079)------------------------------
% 1.73/1.40 % (17080)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/7Mi)
% 1.73/1.40 % (17081)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/3Mi)
% 1.73/1.40 % (17082)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/4Mi)
% 1.73/1.40 % (17081)Instruction limit reached!
% 1.73/1.40 % (17081)------------------------------
% 1.73/1.40 % (17081)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.40 % (17083)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/18Mi)
% 1.73/1.40 % (17081)Termination reason: Unknown
% 1.73/1.40 % (17081)Termination phase: Property scanning
% 1.73/1.40
% 1.73/1.40 % (17081)Memory used [KB]: 1023
% 1.73/1.40 % (17081)Time elapsed: 0.004 s
% 1.73/1.40 % (17081)Instructions burned: 4 (million)
% 1.73/1.40 % (17081)------------------------------
% 1.73/1.40 % (17081)------------------------------
% 1.73/1.40 % (17082)Instruction limit reached!
% 1.73/1.40 % (17082)------------------------------
% 1.73/1.40 % (17082)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.40 % (17082)Termination reason: Unknown
% 1.73/1.40 % (17082)Termination phase: Saturation
% 1.73/1.40
% 1.73/1.40 % (17082)Memory used [KB]: 5500
% 1.73/1.40 % (17082)Time elapsed: 0.003 s
% 1.73/1.40 % (17082)Instructions burned: 6 (million)
% 1.73/1.40 % (17082)------------------------------
% 1.73/1.40 % (17082)------------------------------
% 1.73/1.40 % (17080)Instruction limit reached!
% 1.73/1.40 % (17080)------------------------------
% 1.73/1.40 % (17080)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.40 % (17080)Termination reason: Unknown
% 1.73/1.40 % (17080)Termination phase: Saturation
% 1.73/1.40
% 1.73/1.40 % (17080)Memory used [KB]: 5500
% 1.73/1.40 % (17080)Time elapsed: 0.006 s
% 1.73/1.40 % (17080)Instructions burned: 7 (million)
% 1.73/1.40 % (17080)------------------------------
% 1.73/1.40 % (17080)------------------------------
% 1.73/1.41 % (17083)Instruction limit reached!
% 1.73/1.41 % (17083)------------------------------
% 1.73/1.41 % (17083)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.41 % (17083)Termination reason: Unknown
% 1.73/1.41 % (17083)Termination phase: Saturation
% 1.73/1.41
% 1.73/1.41 % (17083)Memory used [KB]: 5628
% 1.73/1.41 % (17083)Time elapsed: 0.008 s
% 1.73/1.41 % (17083)Instructions burned: 19 (million)
% 1.73/1.41 % (17083)------------------------------
% 1.73/1.41 % (17083)------------------------------
% 1.73/1.41 % (17085)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/6Mi)
% 1.73/1.41 % (17085)Instruction limit reached!
% 1.73/1.41 % (17085)------------------------------
% 1.73/1.41 % (17085)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.41 % (17085)Termination reason: Unknown
% 1.73/1.41 % (17085)Termination phase: Saturation
% 1.73/1.41
% 1.73/1.41 % (17085)Memory used [KB]: 5500
% 1.73/1.41 % (17085)Time elapsed: 0.004 s
% 1.73/1.41 % (17085)Instructions burned: 7 (million)
% 1.73/1.41 % (17085)------------------------------
% 1.73/1.41 % (17085)------------------------------
% 1.73/1.42 % (17087)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/21Mi)
% 1.73/1.42 % (17084)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/710Mi)
% 1.73/1.42 % (17086)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/902Mi)
% 1.73/1.42 % (17063)Instruction limit reached!
% 1.73/1.42 % (17063)------------------------------
% 1.73/1.42 % (17063)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.42 % (17063)Termination reason: Unknown
% 1.73/1.42 % (17063)Termination phase: Saturation
% 1.73/1.42
% 1.73/1.42 % (17063)Memory used [KB]: 6524
% 1.73/1.42 % (17063)Time elapsed: 0.079 s
% 1.73/1.42 % (17063)Instructions burned: 185 (million)
% 1.73/1.42 % (17063)------------------------------
% 1.73/1.42 % (17063)------------------------------
% 1.73/1.42 % (17088)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/5Mi)
% 1.73/1.42 % (17087)Instruction limit reached!
% 1.73/1.42 % (17087)------------------------------
% 1.73/1.42 % (17087)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.42 % (17087)Termination reason: Unknown
% 1.73/1.42 % (17087)Termination phase: Saturation
% 1.73/1.42
% 1.73/1.42 % (17087)Memory used [KB]: 5628
% 1.73/1.42 % (17087)Time elapsed: 0.009 s
% 1.73/1.42 % (17087)Instructions burned: 21 (million)
% 1.73/1.42 % (17087)------------------------------
% 1.73/1.42 % (17087)------------------------------
% 1.73/1.42 % (17088)Instruction limit reached!
% 1.73/1.42 % (17088)------------------------------
% 1.73/1.42 % (17088)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.42 % (17088)Termination reason: Unknown
% 1.73/1.42 % (17088)Termination phase: Property scanning
% 1.73/1.42
% 1.73/1.42 % (17088)Memory used [KB]: 1023
% 1.73/1.42 % (17088)Time elapsed: 0.003 s
% 1.73/1.42 % (17088)Instructions burned: 5 (million)
% 1.73/1.42 % (17088)------------------------------
% 1.73/1.42 % (17088)------------------------------
% 1.73/1.43 % (17068)Instruction limit reached!
% 1.73/1.43 % (17068)------------------------------
% 1.73/1.43 % (17068)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.43 % (17068)Termination reason: Unknown
% 1.73/1.43 % (17068)Termination phase: Saturation
% 1.73/1.43
% 1.73/1.43 % (17068)Memory used [KB]: 5884
% 1.73/1.43 % (17068)Time elapsed: 0.091 s
% 1.73/1.43 % (17068)Instructions burned: 276 (million)
% 1.73/1.43 % (17068)------------------------------
% 1.73/1.43 % (17068)------------------------------
% 1.73/1.43 % (17089)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/6Mi)
% 1.73/1.43 % (17089)Instruction limit reached!
% 1.73/1.43 % (17089)------------------------------
% 1.73/1.43 % (17089)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.43 % (17089)Termination reason: Unknown
% 1.73/1.43 % (17089)Termination phase: Saturation
% 1.73/1.43
% 1.73/1.43 % (17089)Memory used [KB]: 5500
% 1.73/1.43 % (17089)Time elapsed: 0.004 s
% 1.73/1.43 % (17089)Instructions burned: 8 (million)
% 1.73/1.43 % (17089)------------------------------
% 1.73/1.43 % (17089)------------------------------
% 1.73/1.43 % (17090)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_16846 for (2999ds/377Mi)
% 1.73/1.43 % (17091)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_16846 for (2998ds/779Mi)
% 1.73/1.44 % (17092)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_16846 for (2998ds/19Mi)
% 1.73/1.44 % (17092)Instruction limit reached!
% 1.73/1.44 % (17092)------------------------------
% 1.73/1.44 % (17092)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.44 % (17092)Termination reason: Unknown
% 1.73/1.44 % (17092)Termination phase: Saturation
% 1.73/1.44
% 1.73/1.44 % (17092)Memory used [KB]: 5500
% 1.73/1.44 % (17092)Time elapsed: 0.007 s
% 1.73/1.44 % (17092)Instructions burned: 19 (million)
% 1.73/1.44 % (17092)------------------------------
% 1.73/1.44 % (17092)------------------------------
% 1.73/1.44 % (17093)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_16846 for (2998ds/879Mi)
% 1.73/1.45 % (17094)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_16846 for (2998ds/17Mi)
% 1.73/1.46 % (17094)Instruction limit reached!
% 1.73/1.46 % (17094)------------------------------
% 1.73/1.46 % (17094)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.46 % (17094)Termination reason: Unknown
% 1.73/1.46 % (17094)Termination phase: Saturation
% 1.73/1.46
% 1.73/1.46 % (17094)Memory used [KB]: 5628
% 1.73/1.46 % (17094)Time elapsed: 0.008 s
% 1.73/1.46 % (17094)Instructions burned: 18 (million)
% 1.73/1.46 % (17094)------------------------------
% 1.73/1.46 % (17094)------------------------------
% 1.73/1.47 % (17095)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_16846 for (2998ds/3Mi)
% 1.73/1.47 % (17095)Instruction limit reached!
% 1.73/1.47 % (17095)------------------------------
% 1.73/1.47 % (17095)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.47 % (17095)Termination reason: Unknown
% 1.73/1.47 % (17095)Termination phase: Property scanning
% 1.73/1.47
% 1.73/1.47 % (17095)Memory used [KB]: 1023
% 1.73/1.47 % (17095)Time elapsed: 0.003 s
% 1.73/1.47 % (17095)Instructions burned: 5 (million)
% 1.73/1.47 % (17095)------------------------------
% 1.73/1.47 % (17095)------------------------------
% 1.73/1.48 % (17093)First to succeed.
% 1.73/1.48 % (17096)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_16846 for (2998ds/30Mi)
% 1.73/1.48 % (17093)Refutation found. Thanks to Tanya!
% 1.73/1.48 % SZS status Theorem for DTF2THF_16846
% 1.73/1.48 % SZS output start Proof for DTF2THF_16846
% 1.73/1.48 thf(type_def_5, type, a: $tType).
% 1.73/1.48 thf(func_def_0, type, a: $tType).
% 1.73/1.48 thf(func_def_4, type, sK0: a > a > a).
% 1.73/1.48 thf(func_def_5, type, sK1: a > a > a).
% 1.73/1.48 thf(func_def_6, type, sK2: a).
% 1.73/1.48 thf(func_def_7, type, sK3: a).
% 1.73/1.48 thf(func_def_8, type, sK4: a).
% 1.73/1.48 thf(func_def_9, type, sK5: a).
% 1.73/1.48 thf(func_def_10, type, sK6: a).
% 1.73/1.48 thf(func_def_11, type, sK7: a).
% 1.73/1.48 thf(func_def_12, type, sK8: a).
% 1.73/1.48 thf(func_def_13, type, sK9: a).
% 1.73/1.48 thf(f205,plain,(
% 1.73/1.48 $false),
% 1.73/1.48 inference(subsumption_resolution,[status(thm)],[f204,f82])).
% 1.73/1.48 thf(f82,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK0 @ X0 @ X1) = (sK0 @ X1 @ (sK0 @ X0 @ X1)))) )),
% 1.73/1.48 inference(superposition,[status(thm)],[f44,f28])).
% 1.73/1.48 thf(f28,plain,(
% 1.73/1.48 ( ! [X11 : a,X12 : a] : (((sK1 @ (sK0 @ X11 @ X12) @ X12) = X12)) )),
% 1.73/1.48 inference(cnf_transformation,[status(thm)],[f11])).
% 1.73/1.48 thf(f11,plain,(
% 1.73/1.48 ! [X2 : a,X3 : a,X4 : a] : ((sK1 @ (sK1 @ X3 @ X4) @ X2) = (sK1 @ X3 @ (sK1 @ X4 @ X2))) & ! [X5 : a] : ((sK0 @ X5 @ X5) = X5) & ! [X6 : a,X7 : a,X8 : a,X9 : a,X10 : a] : (((sK0 @ X9 @ X7) != X9) | ((sK1 @ X6 @ X9) != X6) | ((sK1 @ X10 @ X9) != X9) | ((sK1 @ X10 @ X7) != X7) | ((sK0 @ X10 @ X7) != X10) | ((sK0 @ X10 @ X8) != X10) | ((sK1 @ X8 @ X7) != X7) | ((sK0 @ X6 @ X8) != X10) | ((sK0 @ X8 @ X7) != X8) | ((sK1 @ X10 @ X6) != X6) | ((sK0 @ X10 @ X9) != X10) | ((sK1 @ X10 @ X8) != X8) | ((sK0 @ X6 @ X9) != X9) | ((sK1 @ X6 @ X8) != X7) | ((sK0 @ X10 @ X6) != X10) | ((sK0 @ X8 @ X9) != X10) | ((sK1 @ X9 @ X7) != X7) | ((sK1 @ X8 @ X9) != X7) | ((sK0 @ X6 @ X7) != X6) | ((sK1 @ X6 @ X7) != X7)) & ! [X11 : a,X12 : a] : ((sK1 @ (sK0 @ X11 @ X12) @ X12) = X12) & ! [X13 : a,X14 : a] : ((sK0 @ X13 @ X14) = (sK0 @ X14 @ X13)) & ! [X15 : a,X16 : a] : ((sK0 @ (sK1 @ X16 @ X15) @ X15) = X15) & ! [X17 : a] : ((sK1 @ X17 @ X17) = X17) & ! [X18 : a,X19 : a] : ((sK1 @ X18 @ X19) = (sK1 @ X19 @ X18)) & ((sK1 @ (sK0 @ sK4 @ sK2) @ (sK0 @ sK4 @ sK3)) != (sK0 @ sK4 @ (sK1 @ sK2 @ (sK0 @ sK4 @ sK3)))) & ! [X23 : a,X24 : a,X25 : a] : ((sK0 @ (sK0 @ X24 @ X23) @ X25) = (sK0 @ X24 @ (sK0 @ X23 @ X25))) & ((sK9 != sK7) & (sK8 != sK6) & (sK8 != sK5) & (sK8 != sK7) & (sK5 != sK9) & (sK5 != sK7) & (sK9 != sK6) & (sK5 != sK6) & (sK6 != sK7) & (sK8 != sK9))),
% 1.73/1.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f7,f10,f9,f8])).
% 1.73/1.48 thf(f8,plain,(
% 1.73/1.48 ? [X0 : a > a > a,X1 : a > a > a] : (! [X2 : a,X3 : a,X4 : a] : ((X1 @ X3 @ (X1 @ X4 @ X2)) = (X1 @ (X1 @ X3 @ X4) @ X2)) & ! [X5 : a] : ((X0 @ X5 @ X5) = X5) & ! [X6 : a,X7 : a,X8 : a,X9 : a,X10 : a] : (((X0 @ X9 @ X7) != X9) | ((X1 @ X6 @ X9) != X6) | ((X1 @ X10 @ X9) != X9) | ((X1 @ X10 @ X7) != X7) | ((X0 @ X10 @ X7) != X10) | ((X0 @ X10 @ X8) != X10) | ((X1 @ X8 @ X7) != X7) | ((X0 @ X6 @ X8) != X10) | ((X0 @ X8 @ X7) != X8) | ((X1 @ X10 @ X6) != X6) | ((X0 @ X10 @ X9) != X10) | ((X1 @ X10 @ X8) != X8) | ((X0 @ X6 @ X9) != X9) | ((X1 @ X6 @ X8) != X7) | ((X0 @ X10 @ X6) != X10) | ((X0 @ X8 @ X9) != X10) | ((X1 @ X9 @ X7) != X7) | ((X1 @ X8 @ X9) != X7) | ((X0 @ X6 @ X7) != X6) | ((X1 @ X6 @ X7) != X7)) & ! [X11 : a,X12 : a] : ((X1 @ (X0 @ X11 @ X12) @ X12) = X12) & ! [X13 : a,X14 : a] : ((X0 @ X13 @ X14) = (X0 @ X14 @ X13)) & ! [X15 : a,X16 : a] : ((X0 @ (X1 @ X16 @ X15) @ X15) = X15) & ! [X17 : a] : ((X1 @ X17 @ X17) = X17) & ! [X18 : a,X19 : a] : ((X1 @ X18 @ X19) = (X1 @ X19 @ X18)) & ? [X20 : a,X21 : a,X22 : a] : ((X1 @ (X0 @ X22 @ X20) @ (X0 @ X22 @ X21)) != (X0 @ X22 @ (X1 @ X20 @ (X0 @ X22 @ X21)))) & ! [X23 : a,X24 : a,X25 : a] : ((X0 @ X24 @ (X0 @ X23 @ X25)) = (X0 @ (X0 @ X24 @ X23) @ X25)) & ? [X26 : a,X27 : a,X28 : a,X29 : a,X30 : a] : ((X28 != X30) & (X27 != X29) & (X26 != X29) & (X28 != X29) & (X26 != X30) & (X26 != X28) & (X27 != X30) & (X26 != X27) & (X27 != X28) & (X29 != X30))) => (! [X4 : a,X3 : a,X2 : a] : ((sK1 @ (sK1 @ X3 @ X4) @ X2) = (sK1 @ X3 @ (sK1 @ X4 @ X2))) & ! [X5 : a] : ((sK0 @ X5 @ X5) = X5) & ! [X10 : a,X9 : a,X8 : a,X7 : a,X6 : a] : (((sK0 @ X9 @ X7) != X9) | ((sK1 @ X6 @ X9) != X6) | ((sK1 @ X10 @ X9) != X9) | ((sK1 @ X10 @ X7) != X7) | ((sK0 @ X10 @ X7) != X10) | ((sK0 @ X10 @ X8) != X10) | ((sK1 @ X8 @ X7) != X7) | ((sK0 @ X6 @ X8) != X10) | ((sK0 @ X8 @ X7) != X8) | ((sK1 @ X10 @ X6) != X6) | ((sK0 @ X10 @ X9) != X10) | ((sK1 @ X10 @ X8) != X8) | ((sK0 @ X6 @ X9) != X9) | ((sK1 @ X6 @ X8) != X7) | ((sK0 @ X10 @ X6) != X10) | ((sK0 @ X8 @ X9) != X10) | ((sK1 @ X9 @ X7) != X7) | ((sK1 @ X8 @ X9) != X7) | ((sK0 @ X6 @ X7) != X6) | ((sK1 @ X6 @ X7) != X7)) & ! [X12 : a,X11 : a] : ((sK1 @ (sK0 @ X11 @ X12) @ X12) = X12) & ! [X14 : a,X13 : a] : ((sK0 @ X13 @ X14) = (sK0 @ X14 @ X13)) & ! [X16 : a,X15 : a] : ((sK0 @ (sK1 @ X16 @ X15) @ X15) = X15) & ! [X17 : a] : ((sK1 @ X17 @ X17) = X17) & ! [X19 : a,X18 : a] : ((sK1 @ X18 @ X19) = (sK1 @ X19 @ X18)) & ? [X22 : a,X21 : a,X20 : a] : ((sK1 @ (sK0 @ X22 @ X20) @ (sK0 @ X22 @ X21)) != (sK0 @ X22 @ (sK1 @ X20 @ (sK0 @ X22 @ X21)))) & ! [X25 : a,X24 : a,X23 : a] : ((sK0 @ (sK0 @ X24 @ X23) @ X25) = (sK0 @ X24 @ (sK0 @ X23 @ X25))) & ? [X26 : a,X27 : a,X28 : a,X29 : a,X30 : a] : ((X28 != X30) & (X27 != X29) & (X26 != X29) & (X28 != X29) & (X26 != X30) & (X26 != X28) & (X27 != X30) & (X26 != X27) & (X27 != X28) & (X29 != X30)))),
% 1.73/1.48 introduced(definition,[],[choice_axiom])).
% 1.73/1.48 thf(f9,plain,(
% 1.73/1.48 ? [X22 : a,X21 : a,X20 : a] : ((sK1 @ (sK0 @ X22 @ X20) @ (sK0 @ X22 @ X21)) != (sK0 @ X22 @ (sK1 @ X20 @ (sK0 @ X22 @ X21)))) => ((sK1 @ (sK0 @ sK4 @ sK2) @ (sK0 @ sK4 @ sK3)) != (sK0 @ sK4 @ (sK1 @ sK2 @ (sK0 @ sK4 @ sK3))))),
% 1.73/1.48 introduced(definition,[],[choice_axiom])).
% 1.73/1.48 thf(f10,plain,(
% 1.73/1.48 ? [X26 : a,X27 : a,X28 : a,X29 : a,X30 : a] : ((X28 != X30) & (X27 != X29) & (X26 != X29) & (X28 != X29) & (X26 != X30) & (X26 != X28) & (X27 != X30) & (X26 != X27) & (X27 != X28) & (X29 != X30)) => ((sK9 != sK7) & (sK8 != sK6) & (sK8 != sK5) & (sK8 != sK7) & (sK5 != sK9) & (sK5 != sK7) & (sK9 != sK6) & (sK5 != sK6) & (sK6 != sK7) & (sK8 != sK9))),
% 1.73/1.48 introduced(definition,[],[choice_axiom])).
% 1.73/1.48 thf(f7,plain,(
% 1.73/1.48 ? [X0 : a > a > a,X1 : a > a > a] : (! [X2 : a,X3 : a,X4 : a] : ((X1 @ X3 @ (X1 @ X4 @ X2)) = (X1 @ (X1 @ X3 @ X4) @ X2)) & ! [X5 : a] : ((X0 @ X5 @ X5) = X5) & ! [X6 : a,X7 : a,X8 : a,X9 : a,X10 : a] : (((X0 @ X9 @ X7) != X9) | ((X1 @ X6 @ X9) != X6) | ((X1 @ X10 @ X9) != X9) | ((X1 @ X10 @ X7) != X7) | ((X0 @ X10 @ X7) != X10) | ((X0 @ X10 @ X8) != X10) | ((X1 @ X8 @ X7) != X7) | ((X0 @ X6 @ X8) != X10) | ((X0 @ X8 @ X7) != X8) | ((X1 @ X10 @ X6) != X6) | ((X0 @ X10 @ X9) != X10) | ((X1 @ X10 @ X8) != X8) | ((X0 @ X6 @ X9) != X9) | ((X1 @ X6 @ X8) != X7) | ((X0 @ X10 @ X6) != X10) | ((X0 @ X8 @ X9) != X10) | ((X1 @ X9 @ X7) != X7) | ((X1 @ X8 @ X9) != X7) | ((X0 @ X6 @ X7) != X6) | ((X1 @ X6 @ X7) != X7)) & ! [X11 : a,X12 : a] : ((X1 @ (X0 @ X11 @ X12) @ X12) = X12) & ! [X13 : a,X14 : a] : ((X0 @ X13 @ X14) = (X0 @ X14 @ X13)) & ! [X15 : a,X16 : a] : ((X0 @ (X1 @ X16 @ X15) @ X15) = X15) & ! [X17 : a] : ((X1 @ X17 @ X17) = X17) & ! [X18 : a,X19 : a] : ((X1 @ X18 @ X19) = (X1 @ X19 @ X18)) & ? [X20 : a,X21 : a,X22 : a] : ((X1 @ (X0 @ X22 @ X20) @ (X0 @ X22 @ X21)) != (X0 @ X22 @ (X1 @ X20 @ (X0 @ X22 @ X21)))) & ! [X23 : a,X24 : a,X25 : a] : ((X0 @ X24 @ (X0 @ X23 @ X25)) = (X0 @ (X0 @ X24 @ X23) @ X25)) & ? [X26 : a,X27 : a,X28 : a,X29 : a,X30 : a] : ((X28 != X30) & (X27 != X29) & (X26 != X29) & (X28 != X29) & (X26 != X30) & (X26 != X28) & (X27 != X30) & (X26 != X27) & (X27 != X28) & (X29 != X30)))),
% 1.73/1.48 inference(rectify,[status(thm)],[f6])).
% 1.73/1.48 thf(f6,plain,(
% 1.73/1.48 ? [X1 : a > a > a,X0 : a > a > a] : (! [X20 : a,X22 : a,X21 : a] : ((X0 @ (X0 @ X22 @ X21) @ X20) = (X0 @ X22 @ (X0 @ X21 @ X20))) & ! [X9 : a] : ((X1 @ X9 @ X9) = X9) & ! [X26 : a,X27 : a,X30 : a,X29 : a,X28 : a] : (((X1 @ X29 @ X27) != X29) | ((X0 @ X26 @ X29) != X26) | ((X0 @ X28 @ X29) != X29) | ((X0 @ X28 @ X27) != X27) | ((X1 @ X28 @ X27) != X28) | ((X1 @ X28 @ X30) != X28) | ((X0 @ X30 @ X27) != X27) | ((X1 @ X26 @ X30) != X28) | ((X1 @ X30 @ X27) != X30) | ((X0 @ X28 @ X26) != X26) | ((X1 @ X28 @ X29) != X28) | ((X0 @ X28 @ X30) != X30) | ((X1 @ X26 @ X29) != X29) | ((X0 @ X26 @ X30) != X27) | ((X1 @ X28 @ X26) != X28) | ((X1 @ X30 @ X29) != X28) | ((X0 @ X29 @ X27) != X27) | ((X0 @ X30 @ X29) != X27) | ((X1 @ X26 @ X27) != X26) | ((X0 @ X26 @ X27) != X27)) & ! [X6 : a,X5 : a] : ((X0 @ (X1 @ X6 @ X5) @ X5) = X5) & ! [X7 : a,X8 : a] : ((X1 @ X7 @ X8) = (X1 @ X8 @ X7)) & ! [X15 : a,X16 : a] : ((X1 @ (X0 @ X16 @ X15) @ X15) = X15) & ! [X19 : a] : ((X0 @ X19 @ X19) = X19) & ! [X18 : a,X17 : a] : ((X0 @ X17 @ X18) = (X0 @ X18 @ X17)) & ? [X4 : a,X3 : a,X2 : a] : ((X1 @ X2 @ (X0 @ X4 @ (X1 @ X2 @ X3))) != (X0 @ (X1 @ X2 @ X4) @ (X1 @ X2 @ X3))) & ! [X24 : a,X23 : a,X25 : a] : ((X1 @ (X1 @ X23 @ X24) @ X25) = (X1 @ X23 @ (X1 @ X24 @ X25))) & ? [X14 : a,X10 : a,X12 : a,X13 : a,X11 : a] : ((X11 != X12) & (X10 != X13) & (X13 != X14) & (X12 != X13) & (X11 != X14) & (X12 != X14) & (X10 != X11) & (X10 != X14) & (X10 != X12) & (X11 != X13)))),
% 1.73/1.48 inference(flattening,[status(thm)],[f5])).
% 1.73/1.48 thf(f5,plain,(
% 1.73/1.48 ? [X0 : a > a > a,X1 : a > a > a] : (! [X26 : a,X27 : a,X30 : a,X29 : a,X28 : a] : (((X1 @ X29 @ X27) != X29) | ((X0 @ X26 @ X29) != X26) | ((X0 @ X28 @ X29) != X29) | ((X0 @ X28 @ X27) != X27) | ((X1 @ X28 @ X27) != X28) | ((X1 @ X28 @ X30) != X28) | ((X0 @ X30 @ X27) != X27) | ((X1 @ X26 @ X30) != X28) | ((X1 @ X30 @ X27) != X30) | ((X0 @ X28 @ X26) != X26) | ((X1 @ X28 @ X29) != X28) | ((X0 @ X28 @ X30) != X30) | ((X1 @ X26 @ X29) != X29) | ((X0 @ X26 @ X30) != X27) | ((X1 @ X28 @ X26) != X28) | ((X1 @ X30 @ X29) != X28) | ((X0 @ X29 @ X27) != X27) | ((X0 @ X30 @ X29) != X27) | ((X1 @ X26 @ X27) != X26) | ((X0 @ X26 @ X27) != X27)) & (! [X20 : a,X22 : a,X21 : a] : ((X0 @ (X0 @ X22 @ X21) @ X20) = (X0 @ X22 @ (X0 @ X21 @ X20))) & ! [X7 : a,X8 : a] : ((X1 @ X7 @ X8) = (X1 @ X8 @ X7)) & ! [X19 : a] : ((X0 @ X19 @ X19) = X19) & ! [X6 : a,X5 : a] : ((X0 @ (X1 @ X6 @ X5) @ X5) = X5) & ! [X24 : a,X23 : a,X25 : a] : ((X1 @ (X1 @ X23 @ X24) @ X25) = (X1 @ X23 @ (X1 @ X24 @ X25))) & ! [X18 : a,X17 : a] : ((X0 @ X17 @ X18) = (X0 @ X18 @ X17)) & ! [X15 : a,X16 : a] : ((X1 @ (X0 @ X16 @ X15) @ X15) = X15) & ! [X9 : a] : ((X1 @ X9 @ X9) = X9) & ? [X14 : a,X10 : a,X12 : a,X13 : a,X11 : a] : ((X11 != X12) & (X10 != X13) & (X13 != X14) & (X12 != X13) & (X11 != X14) & (X12 != X14) & (X10 != X11) & (X10 != X14) & (X10 != X12) & (X11 != X13)) & ? [X4 : a,X3 : a,X2 : a] : ((X1 @ X2 @ (X0 @ X4 @ (X1 @ X2 @ X3))) != (X0 @ (X1 @ X2 @ X4) @ (X1 @ X2 @ X3)))))),
% 1.73/1.48 inference(ennf_transformation,[status(thm)],[f4])).
% 1.73/1.48 thf(f4,plain,(
% 1.73/1.48 ~! [X0 : a > a > a,X1 : a > a > a] : ((! [X20 : a,X22 : a,X21 : a] : ((X0 @ (X0 @ X22 @ X21) @ X20) = (X0 @ X22 @ (X0 @ X21 @ X20))) & ! [X7 : a,X8 : a] : ((X1 @ X7 @ X8) = (X1 @ X8 @ X7)) & ! [X19 : a] : ((X0 @ X19 @ X19) = X19) & ! [X6 : a,X5 : a] : ((X0 @ (X1 @ X6 @ X5) @ X5) = X5) & ! [X24 : a,X23 : a,X25 : a] : ((X1 @ (X1 @ X23 @ X24) @ X25) = (X1 @ X23 @ (X1 @ X24 @ X25))) & ! [X18 : a,X17 : a] : ((X0 @ X17 @ X18) = (X0 @ X18 @ X17)) & ! [X15 : a,X16 : a] : ((X1 @ (X0 @ X16 @ X15) @ X15) = X15) & ! [X9 : a] : ((X1 @ X9 @ X9) = X9) & ? [X14 : a,X10 : a,X12 : a,X13 : a,X11 : a] : ((X11 != X12) & (X10 != X13) & (X13 != X14) & (X12 != X13) & (X11 != X14) & (X12 != X14) & (X10 != X11) & (X10 != X14) & (X10 != X12) & (X11 != X13)) & ~! [X4 : a,X3 : a,X2 : a] : ((X1 @ X2 @ (X0 @ X4 @ (X1 @ X2 @ X3))) = (X0 @ (X1 @ X2 @ X4) @ (X1 @ X2 @ X3)))) => ? [X29 : a,X28 : a,X30 : a,X27 : a,X26 : a] : (((X0 @ X26 @ X29) = X26) & ((X1 @ X26 @ X29) = X29) & ((X1 @ X30 @ X29) = X28) & ((X0 @ X30 @ X27) = X27) & ((X0 @ X26 @ X27) = X27) & ((X0 @ X28 @ X27) = X27) & ((X0 @ X28 @ X29) = X29) & ((X0 @ X30 @ X29) = X27) & ((X0 @ X28 @ X30) = X30) & ((X1 @ X28 @ X30) = X28) & ((X1 @ X30 @ X27) = X30) & ((X1 @ X26 @ X27) = X26) & ((X1 @ X28 @ X29) = X28) & ((X1 @ X28 @ X26) = X28) & ((X1 @ X28 @ X27) = X28) & ((X1 @ X29 @ X27) = X29) & ((X0 @ X28 @ X26) = X26) & ((X1 @ X26 @ X30) = X28) & ((X0 @ X29 @ X27) = X27) & ((X0 @ X26 @ X30) = X27)))),
% 1.73/1.48 inference(rectify,[status(thm)],[f2])).
% 1.73/1.48 thf(f2,negated_conjecture,(
% 1.73/1.48 ~! [X1 : a > a > a,X0 : a > a > a] : ((~! [X2 : a,X4 : a,X3 : a] : ((X0 @ X2 @ (X1 @ X3 @ (X0 @ X2 @ X4))) = (X1 @ (X0 @ X2 @ X3) @ (X0 @ X2 @ X4))) & ! [X3 : a,X2 : a] : ((X1 @ (X0 @ X2 @ X3) @ X3) = X3) & ! [X3 : a,X2 : a] : ((X0 @ X2 @ X3) = (X0 @ X3 @ X2)) & ! [X2 : a] : ((X0 @ X2 @ X2) = X2) & ? [X6 : a,X7 : a,X2 : a,X3 : a,X5 : a] : ((X2 != X5) & (X3 != X5) & (X2 != X3) & (X3 != X6) & (X2 != X7) & (X5 != X7) & (X2 != X6) & (X6 != X7) & (X5 != X6) & (X3 != X7)) & ! [X3 : a,X2 : a] : ((X0 @ (X1 @ X2 @ X3) @ X3) = X3) & ! [X3 : a,X2 : a] : ((X1 @ X2 @ X3) = (X1 @ X3 @ X2)) & ! [X2 : a] : ((X1 @ X2 @ X2) = X2) & ! [X4 : a,X3 : a,X2 : a] : ((X1 @ (X1 @ X2 @ X3) @ X4) = (X1 @ X2 @ (X1 @ X3 @ X4))) & ! [X2 : a,X3 : a,X4 : a] : ((X0 @ (X0 @ X2 @ X3) @ X4) = (X0 @ X2 @ (X0 @ X3 @ X4)))) => ? [X5 : a,X3 : a,X2 : a,X7 : a,X6 : a] : (((X0 @ X7 @ X3) = X7) & ((X1 @ X5 @ X3) = X3) & ((X0 @ X2 @ X6) = X2) & ((X1 @ X2 @ X5) = X5) & ((X0 @ X6 @ X3) = X6) & ((X1 @ X2 @ X6) = X6) & ((X0 @ X5 @ X3) = X5) & ((X1 @ X2 @ X7) = X7) & ((X1 @ X6 @ X7) = X3) & ((X0 @ X2 @ X7) = X2) & ((X1 @ X5 @ X6) = X3) & ((X0 @ X5 @ X7) = X7) & ((X1 @ X6 @ X3) = X3) & ((X0 @ X6 @ X7) = X2) & ((X1 @ X5 @ X7) = X5) & ((X1 @ X2 @ X3) = X3) & ((X0 @ X2 @ X5) = X2) & ((X0 @ X5 @ X6) = X2) & ((X1 @ X7 @ X3) = X3) & ((X0 @ X2 @ X3) = X2)))),
% 1.73/1.48 inference(negated_conjecture,[status(cth)],[f1])).
% 1.73/1.48 thf(f1,conjecture,(
% 1.73/1.48 ! [X1 : a > a > a,X0 : a > a > a] : ((~! [X2 : a,X4 : a,X3 : a] : ((X0 @ X2 @ (X1 @ X3 @ (X0 @ X2 @ X4))) = (X1 @ (X0 @ X2 @ X3) @ (X0 @ X2 @ X4))) & ! [X3 : a,X2 : a] : ((X1 @ (X0 @ X2 @ X3) @ X3) = X3) & ! [X3 : a,X2 : a] : ((X0 @ X2 @ X3) = (X0 @ X3 @ X2)) & ! [X2 : a] : ((X0 @ X2 @ X2) = X2) & ? [X6 : a,X7 : a,X2 : a,X3 : a,X5 : a] : ((X2 != X5) & (X3 != X5) & (X2 != X3) & (X3 != X6) & (X2 != X7) & (X5 != X7) & (X2 != X6) & (X6 != X7) & (X5 != X6) & (X3 != X7)) & ! [X3 : a,X2 : a] : ((X0 @ (X1 @ X2 @ X3) @ X3) = X3) & ! [X3 : a,X2 : a] : ((X1 @ X2 @ X3) = (X1 @ X3 @ X2)) & ! [X2 : a] : ((X1 @ X2 @ X2) = X2) & ! [X4 : a,X3 : a,X2 : a] : ((X1 @ (X1 @ X2 @ X3) @ X4) = (X1 @ X2 @ (X1 @ X3 @ X4))) & ! [X2 : a,X3 : a,X4 : a] : ((X0 @ (X0 @ X2 @ X3) @ X4) = (X0 @ X2 @ (X0 @ X3 @ X4)))) => ? [X5 : a,X3 : a,X2 : a,X7 : a,X6 : a] : (((X0 @ X7 @ X3) = X7) & ((X1 @ X5 @ X3) = X3) & ((X0 @ X2 @ X6) = X2) & ((X1 @ X2 @ X5) = X5) & ((X0 @ X6 @ X3) = X6) & ((X1 @ X2 @ X6) = X6) & ((X0 @ X5 @ X3) = X5) & ((X1 @ X2 @ X7) = X7) & ((X1 @ X6 @ X7) = X3) & ((X0 @ X2 @ X7) = X2) & ((X1 @ X5 @ X6) = X3) & ((X0 @ X5 @ X7) = X7) & ((X1 @ X6 @ X3) = X3) & ((X0 @ X6 @ X7) = X2) & ((X1 @ X5 @ X7) = X5) & ((X1 @ X2 @ X3) = X3) & ((X0 @ X2 @ X5) = X2) & ((X0 @ X5 @ X6) = X2) & ((X1 @ X7 @ X3) = X3) & ((X0 @ X2 @ X3) = X2)))),
% 1.73/1.48 file('/export/starexec/sandbox2/tmp/tmp.6Wbr7ManBx/DTF2THF_16846.p',cPENTAGON_THM2D_pme)).
% 1.73/1.48 thf(f44,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK0 @ (sK1 @ X1 @ X0) @ X1) = X1)) )),
% 1.73/1.48 inference(superposition,[status(thm)],[f26,f24])).
% 1.73/1.48 thf(f24,plain,(
% 1.73/1.48 ( ! [X18 : a,X19 : a] : (((sK1 @ X18 @ X19) = (sK1 @ X19 @ X18))) )),
% 1.73/1.48 inference(cnf_transformation,[status(thm)],[f11])).
% 1.73/1.48 thf(f26,plain,(
% 1.73/1.48 ( ! [X16 : a,X15 : a] : (((sK0 @ (sK1 @ X16 @ X15) @ X15) = X15)) )),
% 1.73/1.48 inference(cnf_transformation,[status(thm)],[f11])).
% 1.73/1.48 thf(f204,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK0 @ X1 @ X0) != (sK0 @ X0 @ (sK0 @ X1 @ X0)))) )),
% 1.73/1.48 inference(trivial_inequality_removal,[status(thm)],[f199])).
% 1.73/1.48 thf(f199,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK0 @ X1 @ X0) != (sK0 @ X0 @ (sK0 @ X1 @ X0))) | (X0 != X0)) )),
% 1.73/1.48 inference(superposition,[status(thm)],[f181,f61])).
% 1.73/1.48 thf(f61,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK1 @ X1 @ (sK0 @ X0 @ X1)) = X1)) )),
% 1.73/1.48 inference(superposition,[status(thm)],[f24,f28])).
% 1.73/1.48 thf(f181,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK1 @ X0 @ X1) != X0) | ((sK0 @ X0 @ X1) != X1)) )),
% 1.73/1.48 inference(forward_demodulation,[status(thm)],[f180,f48])).
% 1.73/1.48 thf(f48,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK0 @ X1 @ (sK1 @ X0 @ X1)) = X1)) )),
% 1.73/1.48 inference(superposition,[status(thm)],[f26,f27])).
% 1.73/1.48 thf(f27,plain,(
% 1.73/1.48 ( ! [X14 : a,X13 : a] : (((sK0 @ X13 @ X14) = (sK0 @ X14 @ X13))) )),
% 1.73/1.48 inference(cnf_transformation,[status(thm)],[f11])).
% 1.73/1.48 thf(f180,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK1 @ X0 @ X1) != X0) | ((sK0 @ X0 @ X1) != (sK0 @ X1 @ (sK1 @ X0 @ X1)))) )),
% 1.73/1.48 inference(trivial_inequality_removal,[status(thm)],[f179])).
% 1.73/1.48 thf(f179,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK0 @ X0 @ X1) != (sK0 @ X1 @ (sK1 @ X0 @ X1))) | ((sK1 @ X0 @ X1) != X0) | ((sK0 @ X0 @ X1) != (sK0 @ X0 @ X1))) )),
% 1.73/1.48 inference(forward_demodulation,[status(thm)],[f178,f48])).
% 1.73/1.48 thf(f178,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK0 @ X0 @ (sK0 @ X1 @ (sK1 @ X0 @ X1))) != (sK0 @ X0 @ X1)) | ((sK1 @ X0 @ X1) != X0) | ((sK0 @ X0 @ X1) != (sK0 @ X1 @ (sK1 @ X0 @ X1)))) )),
% 1.73/1.48 inference(duplicate_literal_removal,[status(thm)],[f177])).
% 1.73/1.48 thf(f177,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK0 @ X0 @ (sK0 @ X1 @ (sK1 @ X0 @ X1))) != (sK0 @ X0 @ X1)) | ((sK1 @ X0 @ X1) != X0) | ((sK0 @ X0 @ X1) != (sK0 @ X1 @ (sK1 @ X0 @ X1))) | ((sK1 @ X0 @ X1) != X0)) )),
% 1.73/1.48 inference(forward_demodulation,[status(thm)],[f176,f87])).
% 1.73/1.48 thf(f87,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK0 @ X0 @ (sK1 @ X0 @ X1)) = X0)) )),
% 1.73/1.48 inference(superposition,[status(thm)],[f27,f44])).
% 1.73/1.48 thf(f176,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK1 @ X0 @ X1) != (sK0 @ X0 @ (sK1 @ X0 @ X1))) | ((sK1 @ X0 @ X1) != X0) | ((sK0 @ X0 @ X1) != (sK0 @ X1 @ (sK1 @ X0 @ X1))) | ((sK0 @ X0 @ (sK0 @ X1 @ (sK1 @ X0 @ X1))) != (sK0 @ X0 @ X1))) )),
% 1.73/1.48 inference(forward_demodulation,[status(thm)],[f175,f94])).
% 1.73/1.48 thf(f94,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK1 @ X0 @ (sK1 @ X0 @ X1)) = (sK1 @ X0 @ X1))) )),
% 1.73/1.48 inference(superposition,[status(thm)],[f31,f25])).
% 1.73/1.48 thf(f25,plain,(
% 1.73/1.48 ( ! [X17 : a] : (((sK1 @ X17 @ X17) = X17)) )),
% 1.73/1.48 inference(cnf_transformation,[status(thm)],[f11])).
% 1.73/1.48 thf(f31,plain,(
% 1.73/1.48 ( ! [X2 : a,X3 : a,X4 : a] : (((sK1 @ (sK1 @ X3 @ X4) @ X2) = (sK1 @ X3 @ (sK1 @ X4 @ X2)))) )),
% 1.73/1.48 inference(cnf_transformation,[status(thm)],[f11])).
% 1.73/1.48 thf(f175,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK1 @ X0 @ (sK1 @ X0 @ X1)) != X0) | ((sK1 @ X0 @ X1) != (sK0 @ X0 @ (sK1 @ X0 @ X1))) | ((sK0 @ X0 @ (sK0 @ X1 @ (sK1 @ X0 @ X1))) != (sK0 @ X0 @ X1)) | ((sK0 @ X0 @ X1) != (sK0 @ X1 @ (sK1 @ X0 @ X1)))) )),
% 1.73/1.48 inference(subsumption_resolution,[status(thm)],[f174,f118])).
% 1.73/1.48 thf(f118,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK1 @ X1 @ X0) = (sK1 @ X0 @ (sK1 @ X1 @ X0)))) )),
% 1.73/1.48 inference(superposition,[status(thm)],[f28,f48])).
% 1.73/1.48 thf(f174,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK1 @ X0 @ (sK1 @ X0 @ X1)) != X0) | ((sK0 @ X0 @ X1) != (sK0 @ X1 @ (sK1 @ X0 @ X1))) | ((sK1 @ X0 @ X1) != (sK0 @ X0 @ (sK1 @ X0 @ X1))) | ((sK1 @ X0 @ X1) != (sK1 @ X1 @ (sK1 @ X0 @ X1))) | ((sK0 @ X0 @ (sK0 @ X1 @ (sK1 @ X0 @ X1))) != (sK0 @ X0 @ X1))) )),
% 1.73/1.48 inference(subsumption_resolution,[status(thm)],[f173,f30])).
% 1.73/1.48 thf(f30,plain,(
% 1.73/1.48 ( ! [X5 : a] : (((sK0 @ X5 @ X5) = X5)) )),
% 1.73/1.48 inference(cnf_transformation,[status(thm)],[f11])).
% 1.73/1.48 thf(f173,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK1 @ X0 @ X1) != (sK0 @ (sK1 @ X0 @ X1) @ (sK1 @ X0 @ X1))) | ((sK1 @ X0 @ X1) != (sK1 @ X1 @ (sK1 @ X0 @ X1))) | ((sK0 @ X0 @ (sK0 @ X1 @ (sK1 @ X0 @ X1))) != (sK0 @ X0 @ X1)) | ((sK1 @ X0 @ X1) != (sK0 @ X0 @ (sK1 @ X0 @ X1))) | ((sK0 @ X0 @ X1) != (sK0 @ X1 @ (sK1 @ X0 @ X1))) | ((sK1 @ X0 @ (sK1 @ X0 @ X1)) != X0)) )),
% 1.73/1.48 inference(subsumption_resolution,[status(thm)],[f156,f133])).
% 1.73/1.48 thf(f133,plain,(
% 1.73/1.48 ( ! [X2 : a,X0 : a,X1 : a] : (((sK1 @ (sK0 @ X0 @ X1) @ (sK1 @ X0 @ X2)) = (sK1 @ X0 @ X2))) )),
% 1.73/1.48 inference(superposition,[status(thm)],[f31,f56])).
% 1.73/1.48 thf(f56,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK1 @ (sK0 @ X1 @ X0) @ X1) = X1)) )),
% 1.73/1.48 inference(superposition,[status(thm)],[f28,f27])).
% 1.73/1.48 thf(f156,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK1 @ X0 @ X1) != (sK1 @ (sK0 @ X0 @ X1) @ (sK1 @ X0 @ X1))) | ((sK1 @ X0 @ X1) != (sK0 @ (sK1 @ X0 @ X1) @ (sK1 @ X0 @ X1))) | ((sK0 @ X0 @ X1) != (sK0 @ X1 @ (sK1 @ X0 @ X1))) | ((sK1 @ X0 @ X1) != (sK0 @ X0 @ (sK1 @ X0 @ X1))) | ((sK1 @ X0 @ X1) != (sK1 @ X1 @ (sK1 @ X0 @ X1))) | ((sK0 @ X0 @ (sK0 @ X1 @ (sK1 @ X0 @ X1))) != (sK0 @ X0 @ X1)) | ((sK1 @ X0 @ (sK1 @ X0 @ X1)) != X0)) )),
% 1.73/1.48 inference(trivial_inequality_removal,[status(thm)],[f147])).
% 1.73/1.48 thf(f147,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK1 @ X0 @ X1) != (sK0 @ X0 @ (sK1 @ X0 @ X1))) | ((sK0 @ X0 @ (sK0 @ X1 @ (sK1 @ X0 @ X1))) != (sK0 @ X0 @ X1)) | ((sK1 @ X0 @ X1) != (sK1 @ X1 @ (sK1 @ X0 @ X1))) | ((sK1 @ X0 @ X1) != (sK0 @ (sK1 @ X0 @ X1) @ (sK1 @ X0 @ X1))) | ((sK1 @ X0 @ X1) != (sK1 @ X0 @ X1)) | ((sK1 @ X0 @ X1) != (sK1 @ (sK0 @ X0 @ X1) @ (sK1 @ X0 @ X1))) | ((sK1 @ X0 @ (sK1 @ X0 @ X1)) != X0) | ((sK0 @ X0 @ X1) != (sK0 @ X1 @ (sK1 @ X0 @ X1)))) )),
% 1.73/1.48 inference(superposition,[status(thm)],[f140,f25])).
% 1.73/1.48 thf(f140,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ (sK0 @ X8 @ X9))) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK0 @ X6 @ X9) != X9) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK1 @ X6 @ X9) != X6)) )),
% 1.73/1.48 inference(subsumption_resolution,[status(thm)],[f139,f133])).
% 1.73/1.48 thf(f139,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK0 @ X6 @ X9) != X9) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ (sK0 @ X8 @ X9))) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK1 @ X6 @ X9) != X6)) )),
% 1.73/1.48 inference(trivial_inequality_removal,[status(thm)],[f138])).
% 1.73/1.48 thf(f138,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK1 @ X6 @ X9) != X6) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | (X6 != X6) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ (sK0 @ X8 @ X9))) | ((sK0 @ X6 @ X9) != X9) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8)))) )),
% 1.73/1.48 inference(backward_demodulation,[status(thm)],[f122,f137])).
% 1.73/1.48 thf(f137,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK1 @ X0 @ (sK0 @ X0 @ X1)) = X0)) )),
% 1.73/1.48 inference(superposition,[status(thm)],[f24,f56])).
% 1.73/1.48 thf(f122,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK0 @ X6 @ X9) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK1 @ X6 @ X9) != X6) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ (sK0 @ X6 @ X8)) != X6) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ (sK0 @ X8 @ X9)))) )),
% 1.73/1.48 inference(trivial_inequality_removal,[status(thm)],[f120])).
% 1.73/1.48 thf(f120,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ (sK0 @ X6 @ X8)) != X6) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ (sK0 @ X8 @ X9))) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK0 @ X6 @ X9) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X6 @ X8)) | ((sK1 @ X6 @ X9) != X6)) )),
% 1.73/1.48 inference(backward_demodulation,[status(thm)],[f110,f118])).
% 1.73/1.48 thf(f110,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK0 @ X6 @ X8) != (sK0 @ X6 @ (sK0 @ X8 @ X9))) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK1 @ X6 @ X9) != X6) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK0 @ X6 @ X9) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ (sK0 @ X6 @ X8)) != X6)) )),
% 1.73/1.48 inference(trivial_inequality_removal,[status(thm)],[f109])).
% 1.73/1.48 thf(f109,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ X8) != (sK1 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK1 @ X6 @ (sK0 @ X6 @ X8)) != X6) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ (sK0 @ X8 @ X9))) | ((sK1 @ X6 @ X9) != X6) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK0 @ X6 @ X9) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8)))) )),
% 1.73/1.48 inference(backward_demodulation,[status(thm)],[f93,f94])).
% 1.73/1.48 thf(f93,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ (sK1 @ X6 @ X8)) != (sK1 @ X6 @ X8)) | ((sK1 @ X6 @ (sK0 @ X6 @ X8)) != X6) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ (sK0 @ X8 @ X9))) | ((sK1 @ X6 @ X9) != X6) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ (sK1 @ X6 @ X8))) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK0 @ X6 @ X9) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8)))) )),
% 1.73/1.48 inference(trivial_inequality_removal,[status(thm)],[f91])).
% 1.73/1.48 thf(f91,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK1 @ X6 @ (sK1 @ X6 @ X8)) != (sK1 @ X6 @ X8)) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ (sK0 @ X8 @ X9))) | ((sK0 @ X6 @ X9) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK1 @ X6 @ X9) != X6) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ (sK0 @ X6 @ X8)) != X6) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ X8))) )),
% 1.73/1.48 inference(backward_demodulation,[status(thm)],[f90,f82])).
% 1.73/1.48 thf(f90,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK1 @ X6 @ (sK0 @ X6 @ X8)) != X6) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK0 @ X8 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ (sK1 @ X6 @ X8)) != (sK1 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ (sK0 @ X8 @ X9))) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK0 @ X6 @ X9) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ X9) != X6) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9)) )),
% 1.73/1.48 inference(trivial_inequality_removal,[status(thm)],[f89])).
% 1.73/1.48 thf(f89,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK0 @ X8 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ (sK0 @ X8 @ X9))) | ((sK1 @ X6 @ X9) != X6) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ (sK0 @ X6 @ X8)) != X6) | ((sK0 @ X6 @ X9) != X9) | ((sK1 @ X6 @ (sK1 @ X6 @ X8)) != (sK1 @ X6 @ X8)) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | (X6 != X6)) )),
% 1.73/1.48 inference(backward_demodulation,[status(thm)],[f78,f87])).
% 1.73/1.48 thf(f78,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK0 @ X6 @ (sK1 @ X6 @ X8)) != X6) | ((sK0 @ X8 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ (sK0 @ X6 @ X8)) != X6) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK0 @ X6 @ X9) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ X9) != X6) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ (sK0 @ X8 @ X9))) | ((sK1 @ X6 @ (sK1 @ X6 @ X8)) != (sK1 @ X6 @ X8))) )),
% 1.73/1.48 inference(trivial_inequality_removal,[status(thm)],[f77])).
% 1.73/1.48 thf(f77,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK0 @ X8 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ (sK1 @ X6 @ X8))) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ (sK0 @ X8 @ X9))) | ((sK0 @ X6 @ X9) != X9) | ((sK1 @ X6 @ (sK1 @ X6 @ X8)) != (sK1 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ X8)) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK0 @ X6 @ (sK1 @ X6 @ X8)) != X6) | ((sK1 @ X6 @ (sK0 @ X6 @ X8)) != X6) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK1 @ X6 @ X9) != X6)) )),
% 1.73/1.48 inference(backward_demodulation,[status(thm)],[f53,f63])).
% 1.73/1.48 thf(f63,plain,(
% 1.73/1.48 ( ! [X0 : a,X1 : a] : (((sK0 @ X0 @ (sK0 @ X0 @ X1)) = (sK0 @ X0 @ X1))) )),
% 1.73/1.48 inference(superposition,[status(thm)],[f22,f30])).
% 1.73/1.48 thf(f22,plain,(
% 1.73/1.48 ( ! [X24 : a,X25 : a,X23 : a] : (((sK0 @ (sK0 @ X24 @ X23) @ X25) = (sK0 @ X24 @ (sK0 @ X23 @ X25)))) )),
% 1.73/1.48 inference(cnf_transformation,[status(thm)],[f11])).
% 1.73/1.48 thf(f53,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK1 @ X6 @ X8) != (sK1 @ X8 @ (sK1 @ X6 @ X8))) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK0 @ X8 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK0 @ X6 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK0 @ X6 @ X9) != X9) | ((sK1 @ X6 @ (sK0 @ X6 @ X8)) != X6) | ((sK1 @ X6 @ (sK1 @ X6 @ X8)) != (sK1 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ (sK0 @ X8 @ X9))) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK1 @ X6 @ X9) != X6) | ((sK0 @ X6 @ (sK1 @ X6 @ X8)) != X6)) )),
% 1.73/1.48 inference(trivial_inequality_removal,[status(thm)],[f52])).
% 1.73/1.48 thf(f52,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ X8)) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ (sK0 @ X8 @ X9))) | ((sK1 @ X6 @ (sK1 @ X6 @ X8)) != (sK1 @ X6 @ X8)) | ((sK0 @ X6 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK1 @ X6 @ X9) != X6) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ (sK0 @ X6 @ X8)) != X6) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK0 @ X6 @ X9) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ (sK1 @ X6 @ X8))) | ((sK0 @ X6 @ (sK1 @ X6 @ X8)) != X6) | ((sK0 @ X8 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8))) )),
% 1.73/1.48 inference(forward_demodulation,[status(thm)],[f51,f48])).
% 1.73/1.48 thf(f51,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK0 @ X6 @ (sK0 @ X8 @ (sK1 @ X6 @ X8))) != (sK0 @ X6 @ X8)) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK0 @ X6 @ X9) != X9) | ((sK0 @ X6 @ (sK1 @ X6 @ X8)) != X6) | ((sK1 @ X6 @ X9) != X6) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ (sK0 @ X8 @ X9))) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK0 @ X8 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK0 @ X6 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ (sK1 @ X6 @ X8)) != (sK1 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ (sK0 @ X6 @ X8)) != X6)) )),
% 1.73/1.48 inference(trivial_inequality_removal,[status(thm)],[f50])).
% 1.73/1.48 thf(f50,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK1 @ X6 @ X9) != X6) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK1 @ X6 @ (sK1 @ X6 @ X8)) != (sK1 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ (sK1 @ X6 @ X8))) | (X8 != X8) | ((sK0 @ X6 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK0 @ X6 @ X9) != X9) | ((sK1 @ X6 @ (sK0 @ X6 @ X8)) != X6) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK0 @ X6 @ (sK0 @ X8 @ (sK1 @ X6 @ X8))) != (sK0 @ X6 @ X8)) | ((sK0 @ X6 @ (sK1 @ X6 @ X8)) != X6) | ((sK0 @ X8 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ (sK0 @ X8 @ X9)))) )),
% 1.73/1.48 inference(backward_demodulation,[status(thm)],[f42,f48])).
% 1.73/1.48 thf(f42,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK0 @ X8 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK0 @ X6 @ (sK0 @ X8 @ (sK1 @ X6 @ X8))) != (sK0 @ X6 @ X8)) | ((sK0 @ X6 @ (sK1 @ X6 @ X8)) != X6) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ (sK0 @ X8 @ X9))) | ((sK0 @ X8 @ (sK1 @ X6 @ X8)) != X8) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ (sK0 @ X6 @ X8)) != X6) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK1 @ X6 @ X9) != X6) | ((sK1 @ X6 @ (sK1 @ X6 @ X8)) != (sK1 @ X6 @ X8)) | ((sK0 @ X6 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK0 @ X6 @ X9) != X9)) )),
% 1.73/1.48 inference(backward_demodulation,[status(thm)],[f41,f24])).
% 1.73/1.48 thf(f41,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK0 @ X6 @ (sK0 @ X8 @ (sK1 @ X6 @ X8))) != (sK0 @ X6 @ X8)) | ((sK0 @ X6 @ (sK1 @ X6 @ X8)) != X6) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ (sK1 @ X6 @ X8))) | ((sK0 @ X8 @ (sK1 @ X6 @ X8)) != X8) | ((sK1 @ X6 @ (sK1 @ X6 @ X8)) != (sK1 @ X6 @ X8)) | ((sK1 @ X6 @ X9) != X6) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ (sK0 @ X8 @ X9))) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK0 @ X6 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK0 @ X8 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK0 @ X6 @ X9) != X9) | ((sK1 @ (sK0 @ X6 @ X8) @ X6) != X6)) )),
% 1.73/1.48 inference(forward_demodulation,[status(thm)],[f40,f22])).
% 1.73/1.48 thf(f40,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK0 @ X6 @ (sK1 @ X6 @ X8)) != X6) | ((sK1 @ X6 @ X9) != X6) | ((sK1 @ (sK0 @ X6 @ X8) @ X6) != X6) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK1 @ X6 @ (sK1 @ X6 @ X8)) != (sK1 @ X6 @ X8)) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK0 @ X6 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK0 @ X6 @ X9) != X9) | ((sK0 @ X8 @ (sK1 @ X6 @ X8)) != X8) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ (sK1 @ X6 @ X8))) | ((sK0 @ X6 @ X8) != (sK0 @ X6 @ (sK0 @ X8 @ X9))) | ((sK0 @ X8 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK0 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8)) != (sK0 @ X6 @ X8))) )),
% 1.73/1.48 inference(backward_demodulation,[status(thm)],[f39,f22])).
% 1.73/1.48 thf(f39,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK0 @ X8 @ (sK1 @ X6 @ X8)) != X8) | ((sK1 @ X6 @ X9) != X6) | ((sK0 @ X8 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK1 @ (sK0 @ X6 @ X8) @ X6) != X6) | ((sK0 @ X6 @ X9) != X9) | ((sK0 @ X6 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK0 @ (sK0 @ X6 @ X8) @ X9) != (sK0 @ X6 @ X8)) | ((sK0 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK0 @ X6 @ (sK1 @ X6 @ X8)) != X6) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ (sK1 @ X6 @ X8)) != (sK1 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8)))) )),
% 1.73/1.48 inference(trivial_inequality_removal,[status(thm)],[f38])).
% 1.73/1.48 thf(f38,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK0 @ X8 @ (sK1 @ X6 @ X8)) != X8) | ((sK0 @ (sK0 @ X6 @ X8) @ X9) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK0 @ X6 @ X9) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK1 @ (sK0 @ X6 @ X8) @ X6) != X6) | ((sK1 @ X6 @ (sK1 @ X6 @ X8)) != (sK1 @ X6 @ X8)) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK0 @ X8 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK0 @ X6 @ (sK1 @ X6 @ X8)) != X6) | ((sK0 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ (sK1 @ X6 @ X8))) | ((sK0 @ X6 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | (X8 != X8) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK1 @ X6 @ X9) != X6)) )),
% 1.73/1.48 inference(backward_demodulation,[status(thm)],[f35,f28])).
% 1.73/1.48 thf(f35,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK0 @ X8 @ (sK1 @ X6 @ X8)) != X8) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK0 @ X8 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK1 @ (sK0 @ X6 @ X8) @ X8) != X8) | ((sK0 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ X9) != X6) | ((sK0 @ X6 @ X9) != X9) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK0 @ X6 @ (sK1 @ X6 @ X8)) != X6) | ((sK0 @ X6 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK1 @ (sK0 @ X6 @ X8) @ X6) != X6) | ((sK1 @ X6 @ (sK1 @ X6 @ X8)) != (sK1 @ X6 @ X8)) | ((sK0 @ (sK0 @ X6 @ X8) @ X9) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ (sK1 @ X6 @ X8)))) )),
% 1.73/1.48 inference(forward_demodulation,[status(thm)],[f34,f27])).
% 1.73/1.48 thf(f34,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK0 @ (sK0 @ X6 @ X8) @ X8) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ (sK1 @ X6 @ X8)) != (sK1 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ (sK1 @ X6 @ X8))) | ((sK0 @ (sK0 @ X6 @ X8) @ X9) != (sK0 @ X6 @ X8)) | ((sK0 @ X6 @ (sK0 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK0 @ X8 @ (sK1 @ X6 @ X8)) != X8) | ((sK0 @ X6 @ X9) != X9) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK1 @ (sK0 @ X6 @ X8) @ X6) != X6) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK1 @ (sK0 @ X6 @ X8) @ X8) != X8) | ((sK1 @ X6 @ X9) != X6) | ((sK0 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK0 @ X6 @ (sK1 @ X6 @ X8)) != X6) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8)))) )),
% 1.73/1.48 inference(backward_demodulation,[status(thm)],[f33,f27])).
% 1.73/1.48 thf(f33,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a] : (((sK0 @ X6 @ (sK1 @ X6 @ X8)) != X6) | ((sK1 @ X6 @ (sK1 @ X6 @ X8)) != (sK1 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8))) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK0 @ (sK0 @ X6 @ X8) @ X9) != (sK0 @ X6 @ X8)) | ((sK0 @ (sK0 @ X6 @ X8) @ X8) != (sK0 @ X6 @ X8)) | ((sK1 @ (sK0 @ X6 @ X8) @ X8) != X8) | ((sK0 @ X9 @ (sK1 @ X6 @ X8)) != X9) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK0 @ (sK0 @ X6 @ X8) @ X6) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ X9) != X6) | ((sK0 @ (sK0 @ X6 @ X8) @ (sK1 @ X6 @ X8)) != (sK0 @ X6 @ X8)) | ((sK1 @ X6 @ X8) != (sK1 @ X9 @ (sK1 @ X6 @ X8))) | ((sK1 @ (sK0 @ X6 @ X8) @ X6) != X6) | ((sK0 @ X6 @ X9) != X9) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ (sK1 @ X6 @ X8))) | ((sK1 @ X6 @ X8) != (sK1 @ X8 @ X9)) | ((sK0 @ X8 @ (sK1 @ X6 @ X8)) != X8)) )),
% 1.73/1.48 inference(equality_resolution,[status(thm)],[f32])).
% 1.73/1.48 thf(f32,plain,(
% 1.73/1.48 ( ! [X8 : a,X6 : a,X9 : a,X7 : a] : (((sK0 @ X9 @ X7) != X9) | ((sK1 @ X6 @ X9) != X6) | ((sK1 @ (sK0 @ X6 @ X8) @ X9) != X9) | ((sK1 @ (sK0 @ X6 @ X8) @ X7) != X7) | ((sK0 @ X6 @ X8) != (sK0 @ (sK0 @ X6 @ X8) @ X7)) | ((sK0 @ (sK0 @ X6 @ X8) @ X8) != (sK0 @ X6 @ X8)) | ((sK1 @ X8 @ X7) != X7) | ((sK0 @ X8 @ X7) != X8) | ((sK1 @ (sK0 @ X6 @ X8) @ X6) != X6) | ((sK0 @ (sK0 @ X6 @ X8) @ X9) != (sK0 @ X6 @ X8)) | ((sK1 @ (sK0 @ X6 @ X8) @ X8) != X8) | ((sK0 @ X6 @ X9) != X9) | ((sK1 @ X6 @ X8) != X7) | ((sK0 @ (sK0 @ X6 @ X8) @ X6) != (sK0 @ X6 @ X8)) | ((sK0 @ X8 @ X9) != (sK0 @ X6 @ X8)) | ((sK1 @ X9 @ X7) != X7) | ((sK1 @ X8 @ X9) != X7) | ((sK0 @ X6 @ X7) != X6) | ((sK1 @ X6 @ X7) != X7)) )),
% 1.73/1.48 inference(equality_resolution,[status(thm)],[f29])).
% 1.73/1.48 thf(f29,plain,(
% 1.73/1.48 ( ! [X10 : a,X8 : a,X6 : a,X9 : a,X7 : a] : (((sK0 @ X9 @ X7) != X9) | ((sK1 @ X6 @ X9) != X6) | ((sK1 @ X10 @ X9) != X9) | ((sK1 @ X10 @ X7) != X7) | ((sK0 @ X10 @ X7) != X10) | ((sK0 @ X10 @ X8) != X10) | ((sK1 @ X8 @ X7) != X7) | ((sK0 @ X6 @ X8) != X10) | ((sK0 @ X8 @ X7) != X8) | ((sK1 @ X10 @ X6) != X6) | ((sK0 @ X10 @ X9) != X10) | ((sK1 @ X10 @ X8) != X8) | ((sK0 @ X6 @ X9) != X9) | ((sK1 @ X6 @ X8) != X7) | ((sK0 @ X10 @ X6) != X10) | ((sK0 @ X8 @ X9) != X10) | ((sK1 @ X9 @ X7) != X7) | ((sK1 @ X8 @ X9) != X7) | ((sK0 @ X6 @ X7) != X6) | ((sK1 @ X6 @ X7) != X7)) )),
% 1.73/1.48 inference(cnf_transformation,[status(thm)],[f11])).
% 1.73/1.48 % SZS output end Proof for DTF2THF_16846
% 1.73/1.48 % (17093)------------------------------
% 1.73/1.48 % (17093)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.48 % (17093)Termination reason: Refutation
% 1.73/1.48
% 1.73/1.48 % (17093)Memory used [KB]: 5884
% 1.73/1.48 % (17093)Time elapsed: 0.041 s
% 1.73/1.48 % (17093)Instructions burned: 108 (million)
% 1.73/1.48 % (17093)------------------------------
% 1.73/1.48 % (17093)------------------------------
% 1.73/1.48 % (17062)Success in time 0.167 s
%------------------------------------------------------------------------------