%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV208^5 : 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 : n013.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 09:40:33 AM UTC 2026
% Result : Theorem 21.75s 4.48s
% Output : Refutation 21.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 19
% Syntax : Number of formulae : 174 ( 4 unt; 0 typ; 11 def)
% Number of atoms : 1700 ( 716 equ; 0 cnn)
% Maximal formula atoms : 36 ( 9 avg)
% Number of connectives : 3490 ( 305 ~; 424 |; 244 &;2466 @)
% ( 11 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 222 ( 222 >; 0 *; 0 +; 0 <<)
% Number of symbols : 42 ( 39 usr; 18 con; 0-4 aty)
% Number of variables : 650 ( 84 ^; 369 !; 197 ?; 650 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
z: a ).
thf(func_def_2,type,
y: a ).
thf(func_def_3,type,
cP: a > a > a ).
thf(func_def_4,type,
w: a ).
thf(func_def_5,type,
x: a ).
thf(func_def_6,type,
c0: a ).
thf(func_def_10,type,
sP0: a > a > a > ( a > a > a > $o ) > $o ).
thf(func_def_11,type,
sP1: a > a > a > ( a > a > a > $o ) > $o ).
thf(func_def_12,type,
sK2: a > a > a > ( a > a > a > $o ) > a ).
thf(func_def_13,type,
sK3: a > a > a > ( a > a > a > $o ) > a ).
thf(func_def_14,type,
sK4: a > a > a > ( a > a > a > $o ) > a ).
thf(func_def_15,type,
sK5: a > a > a > ( a > a > a > $o ) > a ).
thf(func_def_16,type,
sK6: a > a > a > ( a > a > a > $o ) > a ).
thf(func_def_17,type,
sK7: a > a > a > ( a > a > a > $o ) > a ).
thf(func_def_18,type,
sK8: a > a > a > ( a > a > a > $o ) > a ).
thf(func_def_19,type,
sK9: a > a > a > ( a > a > a > $o ) > a ).
thf(func_def_20,type,
sK10: a > a > a > ( a > a > a > $o ) > a ).
thf(func_def_21,type,
sK11: a > a > a > ( a > a > a > $o ) > a ).
thf(func_def_22,type,
sK12: a > a > a > ( a > a > a > $o ) > a ).
thf(func_def_23,type,
sK13: a > a > a > ( a > a > a > $o ) > a ).
thf(func_def_24,type,
sK14: ( a > a > a > $o ) > a ).
thf(func_def_25,type,
sK15: ( a > a > a > $o ) > a ).
thf(func_def_26,type,
sK16: ( a > a > a > $o ) > a ).
thf(func_def_27,type,
sK17: ( a > a > a > $o ) > a ).
thf(func_def_28,type,
sK18: ( a > a > a > $o ) > a ).
thf(func_def_29,type,
sK19: ( a > a > a > $o ) > a ).
thf(func_def_30,type,
sK20: a > a > a > $o ).
thf(func_def_32,type,
ph22:
!>[X0: $tType] : X0 ).
thf(f1931,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f208,f1473,f1475,f1477,f1479,f1643,f1659,f1661,f1679,f1722,f1745,f1771,f1909,f1930]) ).
thf(f1930,plain,
( spl21_11
| ~ spl21_22
| ~ spl21_25 ),
inference(avatar_contradiction_clause,[status(thm)],[f1929]) ).
thf(f1929,plain,
( $false
| spl21_11
| ~ spl21_22
| ~ spl21_25 ),
inference(subsumption_resolution,[status(thm)],[f1928,f50]) ).
thf(f50,plain,
! [X10: a] :
( $true
= ( sK20 @ c0 @ X10 @ X10 ) ),
inference(equality_resolution,[status(thm)],[f49]) ).
thf(f49,plain,
! [X10: a,X9: a] :
( ( X9 != X10 )
| ( $true
= ( sK20 @ c0 @ X10 @ X9 ) ) ),
inference(equality_resolution,[status(thm)],[f38]) ).
thf(f38,plain,
! [X10: a,X11: a,X9: a] :
( ( c0 != X11 )
| ( X9 != X10 )
| ( $true
= ( sK20 @ X11 @ X10 @ X9 ) ) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f24,plain,
( ! [X0: a > a > a > $o] :
( ( ( ( ( c0
= ( sK14 @ X0 ) )
& ( ( sK16 @ X0 )
= ( sK15 @ X0 ) ) )
| ( ( ( sK15 @ X0 )
= ( sK14 @ X0 ) )
& ( c0
= ( sK16 @ X0 ) ) )
| ( $true
= ( sP1 @ ( sK16 @ X0 ) @ ( sK15 @ X0 ) @ ( sK14 @ X0 ) @ X0 ) ) )
& ( $true
!= ( X0 @ ( sK14 @ X0 ) @ ( sK16 @ X0 ) @ ( sK15 @ X0 ) ) ) )
| ( ( X0 @ w @ z @ z )
= $true ) )
& ! [X4: a > a > a > $o] :
( ( $true
= ( X4 @ x @ y @ y ) )
| ( ( ( $true
= ( sP0 @ ( sK18 @ X4 ) @ ( sK17 @ X4 ) @ ( sK19 @ X4 ) @ X4 ) )
| ( ( ( sK19 @ X4 )
= ( sK17 @ X4 ) )
& ( c0
= ( sK18 @ X4 ) ) )
| ( ( ( sK18 @ X4 )
= ( sK19 @ X4 ) )
& ( c0
= ( sK17 @ X4 ) ) ) )
& ( $true
!= ( X4 @ ( sK18 @ X4 ) @ ( sK17 @ X4 ) @ ( sK19 @ X4 ) ) ) ) )
& ! [X9: a,X10: a,X11: a] :
( ( ( ( c0 != X11 )
| ( X9 != X10 ) )
& ! [X12: a,X13: a,X14: a,X15: a,X16: a,X17: a] :
( ( $true
!= ( sK20 @ X17 @ X13 @ X12 ) )
| ( ( cP @ X14 @ X12 )
!= X9 )
| ( ( cP @ X16 @ X13 )
!= X10 )
| ( ( cP @ X15 @ X17 )
!= X11 )
| ( $true
!= ( sK20 @ X15 @ X16 @ X14 ) ) )
& ( ( X9 != X11 )
| ( c0 != X10 ) ) )
| ( $true
= ( sK20 @ X11 @ X10 @ X9 ) ) )
& ( $true
!= ( sK20 @ ( cP @ x @ w ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18,sK19,sK20])],[f20,f23,f22,f21]) ).
thf(f21,plain,
! [X0: a > a > a > $o] :
( ? [X1: a,X2: a,X3: a] :
( ( ( ( c0 = X1 )
& ( X2 = X3 ) )
| ( ( X1 = X2 )
& ( c0 = X3 ) )
| ( $true
= ( sP1 @ X3 @ X2 @ X1 @ X0 ) ) )
& ( $true
!= ( X0 @ X1 @ X3 @ X2 ) ) )
=> ( ( ( ( c0
= ( sK14 @ X0 ) )
& ( ( sK16 @ X0 )
= ( sK15 @ X0 ) ) )
| ( ( ( sK15 @ X0 )
= ( sK14 @ X0 ) )
& ( c0
= ( sK16 @ X0 ) ) )
| ( $true
= ( sP1 @ ( sK16 @ X0 ) @ ( sK15 @ X0 ) @ ( sK14 @ X0 ) @ X0 ) ) )
& ( $true
!= ( X0 @ ( sK14 @ X0 ) @ ( sK16 @ X0 ) @ ( sK15 @ X0 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f22,plain,
! [X4: a > a > a > $o] :
( ? [X5: a,X6: a,X7: a] :
( ( ( $true
= ( sP0 @ X6 @ X5 @ X7 @ X4 ) )
| ( ( X5 = X7 )
& ( c0 = X6 ) )
| ( ( X6 = X7 )
& ( c0 = X5 ) ) )
& ( $true
!= ( X4 @ X6 @ X5 @ X7 ) ) )
=> ( ( ( $true
= ( sP0 @ ( sK18 @ X4 ) @ ( sK17 @ X4 ) @ ( sK19 @ X4 ) @ X4 ) )
| ( ( ( sK19 @ X4 )
= ( sK17 @ X4 ) )
& ( c0
= ( sK18 @ X4 ) ) )
| ( ( ( sK18 @ X4 )
= ( sK19 @ X4 ) )
& ( c0
= ( sK17 @ X4 ) ) ) )
& ( $true
!= ( X4 @ ( sK18 @ X4 ) @ ( sK17 @ X4 ) @ ( sK19 @ X4 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f23,plain,
( ? [X8: a > a > a > $o] :
( ! [X9: a,X10: a,X11: a] :
( ( ( ( c0 != X11 )
| ( X9 != X10 ) )
& ! [X12: a,X13: a,X14: a,X15: a,X16: a,X17: a] :
( ( ( X8 @ X17 @ X13 @ X12 )
!= $true )
| ( ( cP @ X14 @ X12 )
!= X9 )
| ( ( cP @ X16 @ X13 )
!= X10 )
| ( ( cP @ X15 @ X17 )
!= X11 )
| ( $true
!= ( X8 @ X15 @ X16 @ X14 ) ) )
& ( ( X9 != X11 )
| ( c0 != X10 ) ) )
| ( $true
= ( X8 @ X11 @ X10 @ X9 ) ) )
& ( $true
!= ( X8 @ ( cP @ x @ w ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ) ) )
=> ( ! [X11: a,X10: a,X9: a] :
( ( ( ( c0 != X11 )
| ( X9 != X10 ) )
& ! [X17: a,X16: a,X15: a,X14: a,X13: a,X12: a] :
( ( $true
!= ( sK20 @ X17 @ X13 @ X12 ) )
| ( ( cP @ X14 @ X12 )
!= X9 )
| ( ( cP @ X16 @ X13 )
!= X10 )
| ( ( cP @ X15 @ X17 )
!= X11 )
| ( $true
!= ( sK20 @ X15 @ X16 @ X14 ) ) )
& ( ( X9 != X11 )
| ( c0 != X10 ) ) )
| ( $true
= ( sK20 @ X11 @ X10 @ X9 ) ) )
& ( $true
!= ( sK20 @ ( cP @ x @ w ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f20,plain,
( ! [X0: a > a > a > $o] :
( ? [X1: a,X2: a,X3: a] :
( ( ( ( c0 = X1 )
& ( X2 = X3 ) )
| ( ( X1 = X2 )
& ( c0 = X3 ) )
| ( $true
= ( sP1 @ X3 @ X2 @ X1 @ X0 ) ) )
& ( $true
!= ( X0 @ X1 @ X3 @ X2 ) ) )
| ( ( X0 @ w @ z @ z )
= $true ) )
& ! [X4: a > a > a > $o] :
( ( $true
= ( X4 @ x @ y @ y ) )
| ? [X5: a,X6: a,X7: a] :
( ( ( $true
= ( sP0 @ X6 @ X5 @ X7 @ X4 ) )
| ( ( X5 = X7 )
& ( c0 = X6 ) )
| ( ( X6 = X7 )
& ( c0 = X5 ) ) )
& ( $true
!= ( X4 @ X6 @ X5 @ X7 ) ) ) )
& ? [X8: a > a > a > $o] :
( ! [X9: a,X10: a,X11: a] :
( ( ( ( c0 != X11 )
| ( X9 != X10 ) )
& ! [X12: a,X13: a,X14: a,X15: a,X16: a,X17: a] :
( ( ( X8 @ X17 @ X13 @ X12 )
!= $true )
| ( ( cP @ X14 @ X12 )
!= X9 )
| ( ( cP @ X16 @ X13 )
!= X10 )
| ( ( cP @ X15 @ X17 )
!= X11 )
| ( $true
!= ( X8 @ X15 @ X16 @ X14 ) ) )
& ( ( X9 != X11 )
| ( c0 != X10 ) ) )
| ( $true
= ( X8 @ X11 @ X10 @ X9 ) ) )
& ( $true
!= ( X8 @ ( cP @ x @ w ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ) ) ) ),
inference(rectify,[status(thm)],[f11]) ).
thf(f11,plain,
( ! [X0: a > a > a > $o] :
( ? [X2: a,X3: a,X1: a] :
( ( ( ( c0 = X2 )
& ( X1 = X3 ) )
| ( ( X2 = X3 )
& ( c0 = X1 ) )
| ( $true
= ( sP1 @ X1 @ X3 @ X2 @ X0 ) ) )
& ( $true
!= ( X0 @ X2 @ X1 @ X3 ) ) )
| ( ( X0 @ w @ z @ z )
= $true ) )
& ! [X10: a > a > a > $o] :
( ( $true
= ( X10 @ x @ y @ y ) )
| ? [X11: a,X13: a,X12: a] :
( ( ( $true
= ( sP0 @ X13 @ X11 @ X12 @ X10 ) )
| ( ( X11 = X12 )
& ( c0 = X13 ) )
| ( ( X12 = X13 )
& ( c0 = X11 ) ) )
& ( $true
!= ( X10 @ X13 @ X11 @ X12 ) ) ) )
& ? [X20: a > a > a > $o] :
( ! [X22: a,X23: a,X21: a] :
( ( ( ( c0 != X21 )
| ( X22 != X23 ) )
& ! [X29: a,X24: a,X26: a,X25: a,X27: a,X28: a] :
( ( $true
!= ( X20 @ X28 @ X24 @ X29 ) )
| ( ( cP @ X26 @ X29 )
!= X22 )
| ( ( cP @ X27 @ X24 )
!= X23 )
| ( ( cP @ X25 @ X28 )
!= X21 )
| ( $true
!= ( X20 @ X25 @ X27 @ X26 ) ) )
& ( ( X21 != X22 )
| ( c0 != X23 ) ) )
| ( $true
= ( X20 @ X21 @ X23 @ X22 ) ) )
& ( $true
!= ( X20 @ ( cP @ x @ w ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ) ) ) ),
inference(definition_folding,[status(thm)],[f8,f10,f9]) ).
thf(f9,plain,
! [X10: a > a > a > $o,X12: a,X11: a,X13: a] :
( ? [X19: a,X15: a,X17: a,X16: a,X18: a,X14: a] :
( ( $true
= ( X10 @ X16 @ X18 @ X19 ) )
& ( ( cP @ X15 @ X19 )
= X12 )
& ( $true
= ( X10 @ X17 @ X14 @ X15 ) )
& ( ( cP @ X14 @ X18 )
= X11 )
& ( ( cP @ X17 @ X16 )
= X13 ) )
| ( $true
!= ( sP0 @ X13 @ X11 @ X12 @ X10 ) ) ),
introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction]) ).
thf(f10,plain,
! [X0: a > a > a > $o,X2: a,X3: a,X1: a] :
( ? [X9: a,X6: a,X5: a,X8: a,X7: a,X4: a] :
( ( $true
= ( X0 @ X9 @ X5 @ X8 ) )
& ( ( cP @ X9 @ X4 )
= X2 )
& ( ( cP @ X8 @ X6 )
= X3 )
& ( $true
= ( X0 @ X4 @ X7 @ X6 ) )
& ( ( cP @ X5 @ X7 )
= X1 ) )
| ( $true
!= ( sP1 @ X1 @ X3 @ X2 @ X0 ) ) ),
introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction]) ).
thf(f8,plain,
( ! [X0: a > a > a > $o] :
( ? [X2: a,X3: a,X1: a] :
( ( ( ( c0 = X2 )
& ( X1 = X3 ) )
| ( ( X2 = X3 )
& ( c0 = X1 ) )
| ? [X9: a,X6: a,X5: a,X8: a,X7: a,X4: a] :
( ( $true
= ( X0 @ X9 @ X5 @ X8 ) )
& ( ( cP @ X9 @ X4 )
= X2 )
& ( ( cP @ X8 @ X6 )
= X3 )
& ( $true
= ( X0 @ X4 @ X7 @ X6 ) )
& ( ( cP @ X5 @ X7 )
= X1 ) ) )
& ( $true
!= ( X0 @ X2 @ X1 @ X3 ) ) )
| ( ( X0 @ w @ z @ z )
= $true ) )
& ! [X10: a > a > a > $o] :
( ( $true
= ( X10 @ x @ y @ y ) )
| ? [X11: a,X13: a,X12: a] :
( ( ? [X19: a,X15: a,X17: a,X16: a,X18: a,X14: a] :
( ( $true
= ( X10 @ X16 @ X18 @ X19 ) )
& ( ( cP @ X15 @ X19 )
= X12 )
& ( $true
= ( X10 @ X17 @ X14 @ X15 ) )
& ( ( cP @ X14 @ X18 )
= X11 )
& ( ( cP @ X17 @ X16 )
= X13 ) )
| ( ( X11 = X12 )
& ( c0 = X13 ) )
| ( ( X12 = X13 )
& ( c0 = X11 ) ) )
& ( $true
!= ( X10 @ X13 @ X11 @ X12 ) ) ) )
& ? [X20: a > a > a > $o] :
( ! [X22: a,X23: a,X21: a] :
( ( ( ( c0 != X21 )
| ( X22 != X23 ) )
& ! [X29: a,X24: a,X26: a,X25: a,X27: a,X28: a] :
( ( $true
!= ( X20 @ X28 @ X24 @ X29 ) )
| ( ( cP @ X26 @ X29 )
!= X22 )
| ( ( cP @ X27 @ X24 )
!= X23 )
| ( ( cP @ X25 @ X28 )
!= X21 )
| ( $true
!= ( X20 @ X25 @ X27 @ X26 ) ) )
& ( ( X21 != X22 )
| ( c0 != X23 ) ) )
| ( $true
= ( X20 @ X21 @ X23 @ X22 ) ) )
& ( $true
!= ( X20 @ ( cP @ x @ w ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ) ) ) ),
inference(flattening,[status(thm)],[f7]) ).
thf(f7,plain,
( ? [X20: a > a > a > $o] :
( ! [X22: a,X23: a,X21: a] :
( ( ( ( c0 != X21 )
| ( X22 != X23 ) )
& ! [X29: a,X24: a,X26: a,X25: a,X27: a,X28: a] :
( ( $true
!= ( X20 @ X28 @ X24 @ X29 ) )
| ( ( cP @ X26 @ X29 )
!= X22 )
| ( ( cP @ X27 @ X24 )
!= X23 )
| ( ( cP @ X25 @ X28 )
!= X21 )
| ( $true
!= ( X20 @ X25 @ X27 @ X26 ) ) )
& ( ( X21 != X22 )
| ( c0 != X23 ) ) )
| ( $true
= ( X20 @ X21 @ X23 @ X22 ) ) )
& ( $true
!= ( X20 @ ( cP @ x @ w ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ) ) )
& ! [X0: a > a > a > $o] :
( ? [X2: a,X3: a,X1: a] :
( ( ( ( c0 = X2 )
& ( X1 = X3 ) )
| ( ( X2 = X3 )
& ( c0 = X1 ) )
| ? [X9: a,X6: a,X5: a,X8: a,X7: a,X4: a] :
( ( $true
= ( X0 @ X9 @ X5 @ X8 ) )
& ( ( cP @ X9 @ X4 )
= X2 )
& ( ( cP @ X8 @ X6 )
= X3 )
& ( $true
= ( X0 @ X4 @ X7 @ X6 ) )
& ( ( cP @ X5 @ X7 )
= X1 ) ) )
& ( $true
!= ( X0 @ X2 @ X1 @ X3 ) ) )
| ( ( X0 @ w @ z @ z )
= $true ) )
& ! [X10: a > a > a > $o] :
( ( $true
= ( X10 @ x @ y @ y ) )
| ? [X11: a,X13: a,X12: a] :
( ( ? [X19: a,X15: a,X17: a,X16: a,X18: a,X14: a] :
( ( $true
= ( X10 @ X16 @ X18 @ X19 ) )
& ( ( cP @ X15 @ X19 )
= X12 )
& ( $true
= ( X10 @ X17 @ X14 @ X15 ) )
& ( ( cP @ X14 @ X18 )
= X11 )
& ( ( cP @ X17 @ X16 )
= X13 ) )
| ( ( X11 = X12 )
& ( c0 = X13 ) )
| ( ( X12 = X13 )
& ( c0 = X11 ) ) )
& ( $true
!= ( X10 @ X13 @ X11 @ X12 ) ) ) ) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
~ ( ( ! [X0: a > a > a > $o] :
( ! [X3: a,X1: a,X2: a] :
( ( ( ( c0 = X2 )
& ( X1 = X3 ) )
| ( ( X2 = X3 )
& ( c0 = X1 ) )
| ? [X9: a,X6: a,X5: a,X8: a,X7: a,X4: a] :
( ( $true
= ( X0 @ X9 @ X5 @ X8 ) )
& ( ( cP @ X9 @ X4 )
= X2 )
& ( ( cP @ X8 @ X6 )
= X3 )
& ( $true
= ( X0 @ X4 @ X7 @ X6 ) )
& ( ( cP @ X5 @ X7 )
= X1 ) ) )
=> ( $true
= ( X0 @ X2 @ X1 @ X3 ) ) )
=> ( ( X0 @ w @ z @ z )
= $true ) )
& ! [X10: a > a > a > $o] :
( ! [X13: a,X12: a,X11: a] :
( ( ? [X19: a,X15: a,X17: a,X16: a,X18: a,X14: a] :
( ( $true
= ( X10 @ X16 @ X18 @ X19 ) )
& ( ( cP @ X15 @ X19 )
= X12 )
& ( $true
= ( X10 @ X17 @ X14 @ X15 ) )
& ( ( cP @ X14 @ X18 )
= X11 )
& ( ( cP @ X17 @ X16 )
= X13 ) )
| ( ( X11 = X12 )
& ( c0 = X13 ) )
| ( ( X12 = X13 )
& ( c0 = X11 ) ) )
=> ( $true
= ( X10 @ X13 @ X11 @ X12 ) ) )
=> ( $true
= ( X10 @ x @ y @ y ) ) ) )
=> ! [X20: a > a > a > $o] :
( ! [X21: a,X22: a,X23: a] :
( ( ? [X28: a,X25: a,X26: a,X24: a,X27: a,X29: a] :
( ( ( cP @ X26 @ X29 )
= X22 )
& ( $true
= ( X20 @ X25 @ X27 @ X26 ) )
& ( ( cP @ X27 @ X24 )
= X23 )
& ( $true
= ( X20 @ X28 @ X24 @ X29 ) )
& ( ( cP @ X25 @ X28 )
= X21 ) )
| ( ( c0 = X23 )
& ( X21 = X22 ) )
| ( ( X22 = X23 )
& ( c0 = X21 ) ) )
=> ( $true
= ( X20 @ X21 @ X23 @ X22 ) ) )
=> ( $true
= ( X20 @ ( cP @ x @ w ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ) ) ) ),
inference(true_and_false_elimination,[status(thm)],[f5]) ).
thf(f5,plain,
~ ( ( ! [X0: a > a > a > $o] :
( ( ! [X3: a,X1: a,X2: a] :
( ( ( ( c0 = X2 )
& ( X1 = X3 ) )
| ( ( X2 = X3 )
& ( c0 = X1 ) )
| ? [X9: a,X6: a,X5: a,X8: a,X7: a,X4: a] :
( ( $true
= ( X0 @ X9 @ X5 @ X8 ) )
& ( ( cP @ X9 @ X4 )
= X2 )
& ( ( cP @ X8 @ X6 )
= X3 )
& ( $true
= ( X0 @ X4 @ X7 @ X6 ) )
& ( ( cP @ X5 @ X7 )
= X1 ) ) )
=> ( $true
= ( X0 @ X2 @ X1 @ X3 ) ) )
& $true )
=> ( ( X0 @ w @ z @ z )
= $true ) )
& ! [X10: a > a > a > $o] :
( ( $true
& ! [X13: a,X12: a,X11: a] :
( ( ? [X19: a,X15: a,X17: a,X16: a,X18: a,X14: a] :
( ( $true
= ( X10 @ X16 @ X18 @ X19 ) )
& ( ( cP @ X15 @ X19 )
= X12 )
& ( $true
= ( X10 @ X17 @ X14 @ X15 ) )
& ( ( cP @ X14 @ X18 )
= X11 )
& ( ( cP @ X17 @ X16 )
= X13 ) )
| ( ( X11 = X12 )
& ( c0 = X13 ) )
| ( ( X12 = X13 )
& ( c0 = X11 ) ) )
=> ( $true
= ( X10 @ X13 @ X11 @ X12 ) ) ) )
=> ( $true
= ( X10 @ x @ y @ y ) ) ) )
=> ! [X20: a > a > a > $o] :
( ( ! [X21: a,X22: a,X23: a] :
( ( ? [X28: a,X25: a,X26: a,X24: a,X27: a,X29: a] :
( ( ( cP @ X26 @ X29 )
= X22 )
& ( $true
= ( X20 @ X25 @ X27 @ X26 ) )
& ( ( cP @ X27 @ X24 )
= X23 )
& ( $true
= ( X20 @ X28 @ X24 @ X29 ) )
& ( ( cP @ X25 @ X28 )
= X21 ) )
| ( ( c0 = X23 )
& ( X21 = X22 ) )
| ( ( X22 = X23 )
& ( c0 = X21 ) ) )
=> ( $true
= ( X20 @ X21 @ X23 @ X22 ) ) )
& $true )
=> ( $true
= ( X20 @ ( cP @ x @ w ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ( ! [X0: a > a > a > $o] :
( ( ! [X1: a,X2: a,X3: a] :
( ( ? [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( ( X0 @ X9 @ X5 @ X8 )
& ( X0 @ X4 @ X7 @ X6 )
& ( ( cP @ X8 @ X6 )
= X3 )
& ( ( cP @ X9 @ X4 )
= X2 )
& ( ( cP @ X5 @ X7 )
= X1 ) )
| ( ( X1 = X3 )
& ( c0 = X2 ) )
| ( ( X2 = X3 )
& ( c0 = X1 ) ) )
=> ( X0 @ X2 @ X1 @ X3 ) )
& $true )
=> ( X0 @ w @ z @ z ) )
& ! [X10: a > a > a > $o] :
( ( $true
& ! [X11: a,X12: a,X13: a] :
( ( ( ( c0 = X13 )
& ( X11 = X12 ) )
| ? [X14: a,X15: a,X16: a,X17: a,X18: a,X19: a] :
( ( X10 @ X16 @ X18 @ X19 )
& ( X10 @ X17 @ X14 @ X15 )
& ( ( cP @ X17 @ X16 )
= X13 )
& ( ( cP @ X15 @ X19 )
= X12 )
& ( ( cP @ X14 @ X18 )
= X11 ) )
| ( ( X12 = X13 )
& ( c0 = X11 ) ) )
=> ( X10 @ X13 @ X11 @ X12 ) ) )
=> ( X10 @ x @ y @ y ) ) )
=> ! [X20: a > a > a > $o] :
( ( ! [X21: a,X22: a,X23: a] :
( ( ? [X24: a,X25: a,X26: a,X27: a,X28: a,X29: a] :
( ( ( cP @ X27 @ X24 )
= X23 )
& ( X20 @ X28 @ X24 @ X29 )
& ( ( cP @ X26 @ X29 )
= X22 )
& ( ( cP @ X25 @ X28 )
= X21 )
& ( X20 @ X25 @ X27 @ X26 ) )
| ( ( X21 = X22 )
& ( c0 = X23 ) )
| ( ( c0 = X21 )
& ( X22 = X23 ) ) )
=> ( X20 @ X21 @ X23 @ X22 ) )
& $true )
=> ( X20 @ ( cP @ x @ w ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X0: a > a > a > $o] :
( ( ! [X2: a,X1: a,X3: a] :
( ( ? [X5: a,X6: a,X9: a,X7: a,X8: a,X4: a] :
( ( X0 @ X4 @ X6 @ X8 )
& ( X0 @ X5 @ X7 @ X9 )
& ( ( cP @ X8 @ X9 )
= X3 )
& ( ( cP @ X4 @ X5 )
= X1 )
& ( ( cP @ X6 @ X7 )
= X2 ) )
| ( ( X2 = X3 )
& ( c0 = X1 ) )
| ( ( X1 = X3 )
& ( c0 = X2 ) ) )
=> ( X0 @ X1 @ X2 @ X3 ) )
& $true )
=> ( X0 @ w @ z @ z ) )
& ! [X0: a > a > a > $o] :
( ( $true
& ! [X2: a,X3: a,X1: a] :
( ( ( ( c0 = X1 )
& ( X2 = X3 ) )
| ? [X6: a,X8: a,X5: a,X4: a,X7: a,X9: a] :
( ( X0 @ X5 @ X7 @ X9 )
& ( X0 @ X4 @ X6 @ X8 )
& ( ( cP @ X4 @ X5 )
= X1 )
& ( ( cP @ X8 @ X9 )
= X3 )
& ( ( cP @ X6 @ X7 )
= X2 ) )
| ( ( X1 = X3 )
& ( c0 = X2 ) ) )
=> ( X0 @ X1 @ X2 @ X3 ) ) )
=> ( X0 @ x @ y @ y ) ) )
=> ! [X0: a > a > a > $o] :
( ( ! [X1: a,X3: a,X2: a] :
( ( ? [X7: a,X4: a,X8: a,X6: a,X5: a,X9: a] :
( ( ( cP @ X6 @ X7 )
= X2 )
& ( X0 @ X5 @ X7 @ X9 )
& ( ( cP @ X8 @ X9 )
= X3 )
& ( ( cP @ X4 @ X5 )
= X1 )
& ( X0 @ X4 @ X6 @ X8 ) )
| ( ( X1 = X3 )
& ( c0 = X2 ) )
| ( ( c0 = X1 )
& ( X2 = X3 ) ) )
=> ( X0 @ X1 @ X2 @ X3 ) )
& $true )
=> ( X0 @ ( cP @ x @ w ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ( ! [X0: a > a > a > $o] :
( ( ! [X2: a,X1: a,X3: a] :
( ( ? [X5: a,X6: a,X9: a,X7: a,X8: a,X4: a] :
( ( X0 @ X4 @ X6 @ X8 )
& ( X0 @ X5 @ X7 @ X9 )
& ( ( cP @ X8 @ X9 )
= X3 )
& ( ( cP @ X4 @ X5 )
= X1 )
& ( ( cP @ X6 @ X7 )
= X2 ) )
| ( ( X2 = X3 )
& ( c0 = X1 ) )
| ( ( X1 = X3 )
& ( c0 = X2 ) ) )
=> ( X0 @ X1 @ X2 @ X3 ) )
& $true )
=> ( X0 @ w @ z @ z ) )
& ! [X0: a > a > a > $o] :
( ( $true
& ! [X2: a,X3: a,X1: a] :
( ( ( ( c0 = X1 )
& ( X2 = X3 ) )
| ? [X6: a,X8: a,X5: a,X4: a,X7: a,X9: a] :
( ( X0 @ X5 @ X7 @ X9 )
& ( X0 @ X4 @ X6 @ X8 )
& ( ( cP @ X4 @ X5 )
= X1 )
& ( ( cP @ X8 @ X9 )
= X3 )
& ( ( cP @ X6 @ X7 )
= X2 ) )
| ( ( X1 = X3 )
& ( c0 = X2 ) ) )
=> ( X0 @ X1 @ X2 @ X3 ) ) )
=> ( X0 @ x @ y @ y ) ) )
=> ! [X0: a > a > a > $o] :
( ( ! [X1: a,X3: a,X2: a] :
( ( ? [X7: a,X4: a,X8: a,X6: a,X5: a,X9: a] :
( ( ( cP @ X6 @ X7 )
= X2 )
& ( X0 @ X5 @ X7 @ X9 )
& ( ( cP @ X8 @ X9 )
= X3 )
& ( ( cP @ X4 @ X5 )
= X1 )
& ( X0 @ X4 @ X6 @ X8 ) )
| ( ( X1 = X3 )
& ( c0 = X2 ) )
| ( ( c0 = X1 )
& ( X2 = X3 ) ) )
=> ( X0 @ X1 @ X2 @ X3 ) )
& $true )
=> ( X0 @ ( cP @ x @ w ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tBHMbtBaIJ/DTF2THF_5479.p',cS_INCL_LEM1_pme) ).
thf(f1928,plain,
( ( $true
!= ( sK20 @ c0 @ ( sK15 @ sK20 ) @ ( sK15 @ sK20 ) ) )
| spl21_11
| ~ spl21_22
| ~ spl21_25 ),
inference(forward_demodulation,[status(thm)],[f1927,f1468]) ).
thf(f1468,plain,
( ( ( sK15 @ sK20 )
= ( sK16 @ sK20 ) )
| ~ spl21_25 ),
inference(avatar_component_clause,[status(thm)],[f1466]) ).
thf(f1466,definition,
( spl21_25
<=> ( ( sK15 @ sK20 )
= ( sK16 @ sK20 ) ) ),
introduced(definition,[new_symbols(naming,[spl21_25])],[avatar_definition]) ).
thf(f1927,plain,
( ( $true
!= ( sK20 @ c0 @ ( sK16 @ sK20 ) @ ( sK15 @ sK20 ) ) )
| spl21_11
| ~ spl21_22 ),
inference(subsumption_resolution,[status(thm)],[f1911,f203]) ).
thf(f203,plain,
( ( ( sK20 @ w @ z @ z )
!= $true )
| spl21_11 ),
inference(avatar_component_clause,[status(thm)],[f201]) ).
thf(f201,definition,
( spl21_11
<=> ( ( sK20 @ w @ z @ z )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl21_11])],[avatar_definition]) ).
thf(f1911,plain,
( ( ( sK20 @ w @ z @ z )
= $true )
| ( $true
!= ( sK20 @ c0 @ ( sK16 @ sK20 ) @ ( sK15 @ sK20 ) ) )
| ~ spl21_22 ),
inference(superposition,[status(thm)],[f44,f1452]) ).
thf(f1452,plain,
( ( c0
= ( sK14 @ sK20 ) )
| ~ spl21_22 ),
inference(avatar_component_clause,[status(thm)],[f1450]) ).
thf(f1450,definition,
( spl21_22
<=> ( c0
= ( sK14 @ sK20 ) ) ),
introduced(definition,[new_symbols(naming,[spl21_22])],[avatar_definition]) ).
thf(f44,plain,
! [X0: a > a > a > $o] :
( ( $true
!= ( X0 @ ( sK14 @ X0 ) @ ( sK16 @ X0 ) @ ( sK15 @ X0 ) ) )
| ( ( X0 @ w @ z @ z )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f1909,plain,
( spl21_12
| ~ spl21_26
| ~ spl21_30 ),
inference(avatar_contradiction_clause,[status(thm)],[f1908]) ).
thf(f1908,plain,
( $false
| spl21_12
| ~ spl21_26
| ~ spl21_30 ),
inference(subsumption_resolution,[status(thm)],[f1907,f50]) ).
thf(f1907,plain,
( ( $true
!= ( sK20 @ c0 @ ( sK17 @ sK20 ) @ ( sK17 @ sK20 ) ) )
| spl21_12
| ~ spl21_26
| ~ spl21_30 ),
inference(forward_demodulation,[status(thm)],[f1906,f1652]) ).
thf(f1652,plain,
( ( c0
= ( sK18 @ sK20 ) )
| ~ spl21_30 ),
inference(avatar_component_clause,[status(thm)],[f1650]) ).
thf(f1650,definition,
( spl21_30
<=> ( c0
= ( sK18 @ sK20 ) ) ),
introduced(definition,[new_symbols(naming,[spl21_30])],[avatar_definition]) ).
thf(f1906,plain,
( ( $true
!= ( sK20 @ ( sK18 @ sK20 ) @ ( sK17 @ sK20 ) @ ( sK17 @ sK20 ) ) )
| spl21_12
| ~ spl21_26 ),
inference(subsumption_resolution,[status(thm)],[f1890,f207]) ).
thf(f207,plain,
( ( $true
!= ( sK20 @ x @ y @ y ) )
| spl21_12 ),
inference(avatar_component_clause,[status(thm)],[f205]) ).
thf(f205,definition,
( spl21_12
<=> ( $true
= ( sK20 @ x @ y @ y ) ) ),
introduced(definition,[new_symbols(naming,[spl21_12])],[avatar_definition]) ).
thf(f1890,plain,
( ( $true
= ( sK20 @ x @ y @ y ) )
| ( $true
!= ( sK20 @ ( sK18 @ sK20 ) @ ( sK17 @ sK20 ) @ ( sK17 @ sK20 ) ) )
| ~ spl21_26 ),
inference(superposition,[status(thm)],[f39,f1634]) ).
thf(f1634,plain,
( ( ( sK17 @ sK20 )
= ( sK19 @ sK20 ) )
| ~ spl21_26 ),
inference(avatar_component_clause,[status(thm)],[f1632]) ).
thf(f1632,definition,
( spl21_26
<=> ( ( sK17 @ sK20 )
= ( sK19 @ sK20 ) ) ),
introduced(definition,[new_symbols(naming,[spl21_26])],[avatar_definition]) ).
thf(f39,plain,
! [X4: a > a > a > $o] :
( ( $true
!= ( X4 @ ( sK18 @ X4 ) @ ( sK17 @ X4 ) @ ( sK19 @ X4 ) ) )
| ( $true
= ( X4 @ x @ y @ y ) ) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f1771,plain,
( spl21_30
| spl21_12
| spl21_28
| ~ spl21_29 ),
inference(avatar_split_clause,[status(thm)],[f1770,f1646,f1640,f205,f1650]) ).
thf(f1640,definition,
( spl21_28
<=> ( ( sK18 @ sK20 )
= ( sK19 @ sK20 ) ) ),
introduced(definition,[new_symbols(naming,[spl21_28])],[avatar_definition]) ).
thf(f1646,definition,
( spl21_29
<=> ( c0
= ( sK17 @ sK20 ) ) ),
introduced(definition,[new_symbols(naming,[spl21_29])],[avatar_definition]) ).
thf(f1770,plain,
( ( c0
= ( sK18 @ sK20 ) )
| spl21_12
| spl21_28
| ~ spl21_29 ),
inference(trivial_inequality_removal,[status(thm)],[f1769]) ).
thf(f1769,plain,
( ( $true = $false )
| ( c0
= ( sK18 @ sK20 ) )
| spl21_12
| spl21_28
| ~ spl21_29 ),
inference(forward_demodulation,[status(thm)],[f1733,f1717]) ).
thf(f1717,plain,
( ( $false
= ( sK20 @ ( sK18 @ sK20 ) @ c0 @ ( sK19 @ sK20 ) ) )
| spl21_12
| ~ spl21_29 ),
inference(subsumption_resolution,[status(thm)],[f1708,f207]) ).
thf(f1708,plain,
( ( $false
= ( sK20 @ ( sK18 @ sK20 ) @ c0 @ ( sK19 @ sK20 ) ) )
| ( $true
= ( sK20 @ x @ y @ y ) )
| ~ spl21_29 ),
inference(superposition,[status(thm)],[f321,f1648]) ).
thf(f1648,plain,
( ( c0
= ( sK17 @ sK20 ) )
| ~ spl21_29 ),
inference(avatar_component_clause,[status(thm)],[f1646]) ).
thf(f321,plain,
! [X10: a > a > a > $o] :
( ( $false
= ( X10 @ ( sK18 @ X10 ) @ ( sK17 @ X10 ) @ ( sK19 @ X10 ) ) )
| ( $true
= ( X10 @ x @ y @ y ) ) ),
inference(not_proxy_clausification,[status(thm)],[f320]) ).
thf(f320,plain,
! [X10: a > a > a > $o] :
( ( $true
= ( ~ ( X10 @ ( sK18 @ X10 ) @ ( sK17 @ X10 ) @ ( sK19 @ X10 ) ) ) )
| ( $true
= ( X10 @ x @ y @ y ) ) ),
inference(not_proxy_clausification,[status(thm)],[f319]) ).
thf(f319,plain,
! [X10: a > a > a > $o] :
( ( $false
= ( ~ ( X10 @ x @ y @ y ) ) )
| ( $true
= ( ~ ( X10 @ ( sK18 @ X10 ) @ ( sK17 @ X10 ) @ ( sK19 @ X10 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f318]) ).
thf(f318,plain,
! [X10: a > a > a > $o] :
( ( $true
= ( ~ ( X10
@ ( sK18
@ ^ [Y0: a,Y1: a,Y2: a] : ( X10 @ Y0 @ Y1 @ Y2 ) )
@ ( sK17
@ ^ [Y0: a,Y1: a,Y2: a] : ( X10 @ Y0 @ Y1 @ Y2 ) )
@ ( sK19
@ ^ [Y0: a,Y1: a,Y2: a] : ( X10 @ Y0 @ Y1 @ Y2 ) ) ) ) )
| ( $false
= ( ~ ( X10 @ x @ y @ y ) ) ) ),
inference(boolean_simplification,[status(thm)],[f317]) ).
thf(f317,plain,
! [X10: a > a > a > $o] :
( ( $false
= ( ~ ( X10 @ x @ y @ y ) ) )
| ( $true
= ( ~ ( X10
@ ( sK18
@ ^ [Y0: a,Y1: a,Y2: a] :
~ ~ ( X10 @ Y0 @ Y1 @ Y2 ) )
@ ( sK17
@ ^ [Y0: a,Y1: a,Y2: a] :
~ ~ ( X10 @ Y0 @ Y1 @ Y2 ) )
@ ( sK19
@ ^ [Y0: a,Y1: a,Y2: a] :
~ ~ ( X10 @ Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f309]) ).
thf(f309,plain,
! [X10: a > a > a > $o] :
( ( $true
= ( ^ [Y0: a,Y1: a,Y2: a] :
~ ( X10 @ Y0 @ Y1 @ Y2 )
@ ( sK18
@ ^ [Y0: a,Y1: a,Y2: a] :
~ ( ^ [Y3: a,Y4: a,Y5: a] :
~ ( X10 @ Y3 @ Y4 @ Y5 )
@ Y0
@ Y1
@ Y2 ) )
@ ( sK17
@ ^ [Y0: a,Y1: a,Y2: a] :
~ ( ^ [Y3: a,Y4: a,Y5: a] :
~ ( X10 @ Y3 @ Y4 @ Y5 )
@ Y0
@ Y1
@ Y2 ) )
@ ( sK19
@ ^ [Y0: a,Y1: a,Y2: a] :
~ ( ^ [Y3: a,Y4: a,Y5: a] :
~ ( X10 @ Y3 @ Y4 @ Y5 )
@ Y0
@ Y1
@ Y2 ) ) ) )
| ( $false
= ( ^ [Y0: a,Y1: a,Y2: a] :
~ ( X10 @ Y0 @ Y1 @ Y2 )
@ x
@ y
@ y ) ) ),
inference(primitive_instantiation,[status(thm)],[f81]) ).
thf(f81,plain,
! [X7: a > a > a > $o] :
( ( $true
= ( X7
@ ( sK18
@ ^ [Y0: a,Y1: a,Y2: a] :
~ ( X7 @ Y0 @ Y1 @ Y2 ) )
@ ( sK17
@ ^ [Y0: a,Y1: a,Y2: a] :
~ ( X7 @ Y0 @ Y1 @ Y2 ) )
@ ( sK19
@ ^ [Y0: a,Y1: a,Y2: a] :
~ ( X7 @ Y0 @ Y1 @ Y2 ) ) ) )
| ( ( X7 @ x @ y @ y )
= $false ) ),
inference(not_proxy_clausification,[status(thm)],[f80]) ).
thf(f80,plain,
! [X7: a > a > a > $o] :
( ( $true
!= ( ~ ( X7
@ ( sK18
@ ^ [Y0: a,Y1: a,Y2: a] :
~ ( X7 @ Y0 @ Y1 @ Y2 ) )
@ ( sK17
@ ^ [Y0: a,Y1: a,Y2: a] :
~ ( X7 @ Y0 @ Y1 @ Y2 ) )
@ ( sK19
@ ^ [Y0: a,Y1: a,Y2: a] :
~ ( X7 @ Y0 @ Y1 @ Y2 ) ) ) ) )
| ( ( X7 @ x @ y @ y )
= $false ) ),
inference(not_proxy_clausification,[status(thm)],[f79]) ).
thf(f79,plain,
! [X7: a > a > a > $o] :
( ( $true
= ( ~ ( X7 @ x @ y @ y ) ) )
| ( $true
!= ( ~ ( X7
@ ( sK18
@ ^ [Y0: a,Y1: a,Y2: a] :
~ ( X7 @ Y0 @ Y1 @ Y2 ) )
@ ( sK17
@ ^ [Y0: a,Y1: a,Y2: a] :
~ ( X7 @ Y0 @ Y1 @ Y2 ) )
@ ( sK19
@ ^ [Y0: a,Y1: a,Y2: a] :
~ ( X7 @ Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f64]) ).
thf(f64,plain,
! [X7: a > a > a > $o] :
( ( $true
!= ( ^ [Y0: a,Y1: a,Y2: a] :
~ ( X7 @ Y0 @ Y1 @ Y2 )
@ ( sK18
@ ^ [Y0: a,Y1: a,Y2: a] :
~ ( X7 @ Y0 @ Y1 @ Y2 ) )
@ ( sK17
@ ^ [Y0: a,Y1: a,Y2: a] :
~ ( X7 @ Y0 @ Y1 @ Y2 ) )
@ ( sK19
@ ^ [Y0: a,Y1: a,Y2: a] :
~ ( X7 @ Y0 @ Y1 @ Y2 ) ) ) )
| ( $true
= ( ^ [Y0: a,Y1: a,Y2: a] :
~ ( X7 @ Y0 @ Y1 @ Y2 )
@ x
@ y
@ y ) ) ),
inference(primitive_instantiation,[status(thm)],[f39]) ).
thf(f1733,plain,
( ( $true
= ( sK20 @ ( sK18 @ sK20 ) @ c0 @ ( sK19 @ sK20 ) ) )
| ( c0
= ( sK18 @ sK20 ) )
| spl21_12
| spl21_28
| ~ spl21_29 ),
inference(forward_demodulation,[status(thm)],[f1732,f1648]) ).
thf(f1732,plain,
( ( $true
= ( sK20 @ ( sK18 @ sK20 ) @ ( sK17 @ sK20 ) @ ( sK19 @ sK20 ) ) )
| ( c0
= ( sK18 @ sK20 ) )
| spl21_12
| spl21_28 ),
inference(subsumption_resolution,[status(thm)],[f1731,f1641]) ).
thf(f1641,plain,
( ( ( sK18 @ sK20 )
!= ( sK19 @ sK20 ) )
| spl21_28 ),
inference(avatar_component_clause,[status(thm)],[f1640]) ).
thf(f1731,plain,
( ( $true
= ( sK20 @ ( sK18 @ sK20 ) @ ( sK17 @ sK20 ) @ ( sK19 @ sK20 ) ) )
| ( ( sK18 @ sK20 )
= ( sK19 @ sK20 ) )
| ( c0
= ( sK18 @ sK20 ) )
| spl21_12 ),
inference(subsumption_resolution,[status(thm)],[f1626,f207]) ).
thf(f1626,plain,
( ( c0
= ( sK18 @ sK20 ) )
| ( $true
= ( sK20 @ ( sK18 @ sK20 ) @ ( sK17 @ sK20 ) @ ( sK19 @ sK20 ) ) )
| ( ( sK18 @ sK20 )
= ( sK19 @ sK20 ) )
| ( $true
= ( sK20 @ x @ y @ y ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1624]) ).
thf(f1624,plain,
( ( $true
= ( sK20 @ x @ y @ y ) )
| ( ( sK18 @ sK20 )
= ( sK19 @ sK20 ) )
| ( $true
= ( sK20 @ ( sK18 @ sK20 ) @ ( sK17 @ sK20 ) @ ( sK19 @ sK20 ) ) )
| ( c0
= ( sK18 @ sK20 ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f1589,f41]) ).
thf(f41,plain,
! [X4: a > a > a > $o] :
( ( $true
= ( sP0 @ ( sK18 @ X4 ) @ ( sK17 @ X4 ) @ ( sK19 @ X4 ) @ X4 ) )
| ( ( sK18 @ X4 )
= ( sK19 @ X4 ) )
| ( c0
= ( sK18 @ X4 ) )
| ( $true
= ( X4 @ x @ y @ y ) ) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f1589,plain,
! [X2: a,X0: a,X1: a] :
( ( $true
!= ( sP0 @ X0 @ X1 @ X2 @ sK20 ) )
| ( ( sK20 @ X0 @ X1 @ X2 )
= $true ) ),
inference(duplicate_literal_removal,[status(thm)],[f1558]) ).
thf(f1558,plain,
! [X2: a,X0: a,X1: a] :
( ( $true
!= ( sP0 @ X0 @ X1 @ X2 @ sK20 ) )
| ( ( sK20 @ X0 @ X1 @ X2 )
= $true )
| ( $true
!= ( sP0 @ X0 @ X1 @ X2 @ sK20 ) ) ),
inference(superposition,[status(thm)],[f1227,f30]) ).
thf(f30,plain,
! [X2: a,X3: a,X0: a > a > a > $o,X1: a] :
( ( ( cP @ ( sK10 @ X3 @ X2 @ X1 @ X0 ) @ ( sK11 @ X3 @ X2 @ X1 @ X0 ) )
= X3 )
| ( $true
!= ( sP0 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f19,plain,
! [X0: a > a > a > $o,X1: a,X2: a,X3: a] :
( ( ( $true
= ( X0 @ ( sK11 @ X3 @ X2 @ X1 @ X0 ) @ ( sK12 @ X3 @ X2 @ X1 @ X0 ) @ ( sK8 @ X3 @ X2 @ X1 @ X0 ) ) )
& ( ( cP @ ( sK9 @ X3 @ X2 @ X1 @ X0 ) @ ( sK8 @ X3 @ X2 @ X1 @ X0 ) )
= X1 )
& ( $true
= ( X0 @ ( sK10 @ X3 @ X2 @ X1 @ X0 ) @ ( sK13 @ X3 @ X2 @ X1 @ X0 ) @ ( sK9 @ X3 @ X2 @ X1 @ X0 ) ) )
& ( ( cP @ ( sK13 @ X3 @ X2 @ X1 @ X0 ) @ ( sK12 @ X3 @ X2 @ X1 @ X0 ) )
= X2 )
& ( ( cP @ ( sK10 @ X3 @ X2 @ X1 @ X0 ) @ ( sK11 @ X3 @ X2 @ X1 @ X0 ) )
= X3 ) )
| ( $true
!= ( sP0 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12,sK13])],[f17,f18]) ).
thf(f18,plain,
! [X0: a > a > a > $o,X1: a,X2: a,X3: a] :
( ? [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( ( $true
= ( X0 @ X7 @ X8 @ X4 ) )
& ( ( cP @ X5 @ X4 )
= X1 )
& ( $true
= ( X0 @ X6 @ X9 @ X5 ) )
& ( ( cP @ X9 @ X8 )
= X2 )
& ( ( cP @ X6 @ X7 )
= X3 ) )
=> ( ( $true
= ( X0 @ ( sK11 @ X3 @ X2 @ X1 @ X0 ) @ ( sK12 @ X3 @ X2 @ X1 @ X0 ) @ ( sK8 @ X3 @ X2 @ X1 @ X0 ) ) )
& ( ( cP @ ( sK9 @ X3 @ X2 @ X1 @ X0 ) @ ( sK8 @ X3 @ X2 @ X1 @ X0 ) )
= X1 )
& ( $true
= ( X0 @ ( sK10 @ X3 @ X2 @ X1 @ X0 ) @ ( sK13 @ X3 @ X2 @ X1 @ X0 ) @ ( sK9 @ X3 @ X2 @ X1 @ X0 ) ) )
& ( ( cP @ ( sK13 @ X3 @ X2 @ X1 @ X0 ) @ ( sK12 @ X3 @ X2 @ X1 @ X0 ) )
= X2 )
& ( ( cP @ ( sK10 @ X3 @ X2 @ X1 @ X0 ) @ ( sK11 @ X3 @ X2 @ X1 @ X0 ) )
= X3 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f17,plain,
! [X0: a > a > a > $o,X1: a,X2: a,X3: a] :
( ? [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( ( $true
= ( X0 @ X7 @ X8 @ X4 ) )
& ( ( cP @ X5 @ X4 )
= X1 )
& ( $true
= ( X0 @ X6 @ X9 @ X5 ) )
& ( ( cP @ X9 @ X8 )
= X2 )
& ( ( cP @ X6 @ X7 )
= X3 ) )
| ( $true
!= ( sP0 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(rectify,[status(thm)],[f16]) ).
thf(f16,plain,
! [X10: a > a > a > $o,X12: a,X11: a,X13: a] :
( ? [X19: a,X15: a,X17: a,X16: a,X18: a,X14: a] :
( ( $true
= ( X10 @ X16 @ X18 @ X19 ) )
& ( ( cP @ X15 @ X19 )
= X12 )
& ( $true
= ( X10 @ X17 @ X14 @ X15 ) )
& ( ( cP @ X14 @ X18 )
= X11 )
& ( ( cP @ X17 @ X16 )
= X13 ) )
| ( $true
!= ( sP0 @ X13 @ X11 @ X12 @ X10 ) ) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
thf(f1227,plain,
! [X2: a,X0: a,X1: a] :
( ( $true
= ( sK20 @ ( cP @ ( sK10 @ X0 @ X1 @ X2 @ sK20 ) @ ( sK11 @ X0 @ X1 @ X2 @ sK20 ) ) @ X1 @ X2 ) )
| ( $true
!= ( sP0 @ X0 @ X1 @ X2 @ sK20 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1226]) ).
thf(f1226,plain,
! [X2: a,X0: a,X1: a] :
( ( $true
!= ( sP0 @ X0 @ X1 @ X2 @ sK20 ) )
| ( $true != $true )
| ( $true
= ( sK20 @ ( cP @ ( sK10 @ X0 @ X1 @ X2 @ sK20 ) @ ( sK11 @ X0 @ X1 @ X2 @ sK20 ) ) @ X1 @ X2 ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f1225]) ).
thf(f1225,plain,
! [X2: a,X0: a,X1: a] :
( ( $true != $true )
| ( $true
= ( sK20 @ ( cP @ ( sK10 @ X0 @ X1 @ X2 @ sK20 ) @ ( sK11 @ X0 @ X1 @ X2 @ sK20 ) ) @ X1 @ X2 ) )
| ( $true
!= ( sP0 @ X0 @ X1 @ X2 @ sK20 ) )
| ( $true
!= ( sP0 @ X0 @ X1 @ X2 @ sK20 ) ) ),
inference(superposition,[status(thm)],[f1051,f32]) ).
thf(f32,plain,
! [X2: a,X3: a,X0: a > a > a > $o,X1: a] :
( ( $true
= ( X0 @ ( sK10 @ X3 @ X2 @ X1 @ X0 ) @ ( sK13 @ X3 @ X2 @ X1 @ X0 ) @ ( sK9 @ X3 @ X2 @ X1 @ X0 ) ) )
| ( $true
!= ( sP0 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f1051,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( $true
!= ( sK20 @ X3 @ ( sK13 @ X0 @ X1 @ X2 @ sK20 ) @ ( sK9 @ X0 @ X1 @ X2 @ sK20 ) ) )
| ( $true
= ( sK20 @ ( cP @ X3 @ ( sK11 @ X0 @ X1 @ X2 @ sK20 ) ) @ X1 @ X2 ) )
| ( $true
!= ( sP0 @ X0 @ X1 @ X2 @ sK20 ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f1038]) ).
thf(f1038,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( $true
!= ( sP0 @ X0 @ X1 @ X2 @ sK20 ) )
| ( $true
= ( sK20 @ ( cP @ X3 @ ( sK11 @ X0 @ X1 @ X2 @ sK20 ) ) @ X1 @ X2 ) )
| ( $true
!= ( sK20 @ X3 @ ( sK13 @ X0 @ X1 @ X2 @ sK20 ) @ ( sK9 @ X0 @ X1 @ X2 @ sK20 ) ) )
| ( $true
!= ( sP0 @ X0 @ X1 @ X2 @ sK20 ) ) ),
inference(superposition,[status(thm)],[f544,f31]) ).
thf(f31,plain,
! [X2: a,X3: a,X0: a > a > a > $o,X1: a] :
( ( ( cP @ ( sK13 @ X3 @ X2 @ X1 @ X0 ) @ ( sK12 @ X3 @ X2 @ X1 @ X0 ) )
= X2 )
| ( $true
!= ( sP0 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f544,plain,
! [X2: a,X3: a,X0: a,X1: a,X4: a] :
( ( $true
= ( sK20 @ ( cP @ X3 @ ( sK11 @ X0 @ X1 @ X2 @ sK20 ) ) @ ( cP @ X4 @ ( sK12 @ X0 @ X1 @ X2 @ sK20 ) ) @ X2 ) )
| ( $true
!= ( sK20 @ X3 @ X4 @ ( sK9 @ X0 @ X1 @ X2 @ sK20 ) ) )
| ( $true
!= ( sP0 @ X0 @ X1 @ X2 @ sK20 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f543]) ).
thf(f543,plain,
! [X2: a,X3: a,X0: a,X1: a,X4: a] :
( ( $true
!= ( sK20 @ X3 @ X4 @ ( sK9 @ X0 @ X1 @ X2 @ sK20 ) ) )
| ( $true
!= ( sP0 @ X0 @ X1 @ X2 @ sK20 ) )
| ( $true
= ( sK20 @ ( cP @ X3 @ ( sK11 @ X0 @ X1 @ X2 @ sK20 ) ) @ ( cP @ X4 @ ( sK12 @ X0 @ X1 @ X2 @ sK20 ) ) @ X2 ) )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[status(thm)],[f540]) ).
thf(f540,plain,
! [X2: a,X3: a,X0: a,X1: a,X4: a] :
( ( $true
!= ( sP0 @ X0 @ X1 @ X2 @ sK20 ) )
| ( $true
!= ( sK20 @ X3 @ X4 @ ( sK9 @ X0 @ X1 @ X2 @ sK20 ) ) )
| ( $true
!= ( sP0 @ X0 @ X1 @ X2 @ sK20 ) )
| ( $true != $true )
| ( $true
= ( sK20 @ ( cP @ X3 @ ( sK11 @ X0 @ X1 @ X2 @ sK20 ) ) @ ( cP @ X4 @ ( sK12 @ X0 @ X1 @ X2 @ sK20 ) ) @ X2 ) ) ),
inference(superposition,[status(thm)],[f183,f34]) ).
thf(f34,plain,
! [X2: a,X3: a,X0: a > a > a > $o,X1: a] :
( ( $true
= ( X0 @ ( sK11 @ X3 @ X2 @ X1 @ X0 ) @ ( sK12 @ X3 @ X2 @ X1 @ X0 ) @ ( sK8 @ X3 @ X2 @ X1 @ X0 ) ) )
| ( $true
!= ( sP0 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f183,plain,
! [X2: a,X3: a > a > a > $o,X0: a,X1: a,X6: a,X7: a,X4: a,X5: a] :
( ( $true
!= ( sK20 @ X5 @ X7 @ ( sK8 @ X0 @ X1 @ X2 @ X3 ) ) )
| ( $true
!= ( sP0 @ X0 @ X1 @ X2 @ X3 ) )
| ( $true
!= ( sK20 @ X4 @ X6 @ ( sK9 @ X0 @ X1 @ X2 @ X3 ) ) )
| ( $true
= ( sK20 @ ( cP @ X4 @ X5 ) @ ( cP @ X6 @ X7 ) @ X2 ) ) ),
inference(superposition,[status(thm)],[f53,f33]) ).
thf(f33,plain,
! [X2: a,X3: a,X0: a > a > a > $o,X1: a] :
( ( ( cP @ ( sK9 @ X3 @ X2 @ X1 @ X0 ) @ ( sK8 @ X3 @ X2 @ X1 @ X0 ) )
= X1 )
| ( $true
!= ( sP0 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f53,plain,
! [X16: a,X14: a,X17: a,X15: a,X12: a,X13: a] :
( ( $true
= ( sK20 @ ( cP @ X15 @ X17 ) @ ( cP @ X16 @ X13 ) @ ( cP @ X14 @ X12 ) ) )
| ( $true
!= ( sK20 @ X17 @ X13 @ X12 ) )
| ( $true
!= ( sK20 @ X15 @ X16 @ X14 ) ) ),
inference(equality_resolution,[status(thm)],[f52]) ).
thf(f52,plain,
! [X11: a,X16: a,X14: a,X17: a,X15: a,X12: a,X13: a] :
( ( $true
!= ( sK20 @ X17 @ X13 @ X12 ) )
| ( ( cP @ X15 @ X17 )
!= X11 )
| ( $true
!= ( sK20 @ X15 @ X16 @ X14 ) )
| ( $true
= ( sK20 @ X11 @ ( cP @ X16 @ X13 ) @ ( cP @ X14 @ X12 ) ) ) ),
inference(equality_resolution,[status(thm)],[f51]) ).
thf(f51,plain,
! [X10: a,X11: a,X16: a,X14: a,X17: a,X15: a,X12: a,X13: a] :
( ( $true
!= ( sK20 @ X17 @ X13 @ X12 ) )
| ( ( cP @ X16 @ X13 )
!= X10 )
| ( ( cP @ X15 @ X17 )
!= X11 )
| ( $true
!= ( sK20 @ X15 @ X16 @ X14 ) )
| ( $true
= ( sK20 @ X11 @ X10 @ ( cP @ X14 @ X12 ) ) ) ),
inference(equality_resolution,[status(thm)],[f37]) ).
thf(f37,plain,
! [X10: a,X11: a,X9: a,X16: a,X14: a,X17: a,X15: a,X12: a,X13: a] :
( ( $true
!= ( sK20 @ X17 @ X13 @ X12 ) )
| ( ( cP @ X14 @ X12 )
!= X9 )
| ( ( cP @ X16 @ X13 )
!= X10 )
| ( ( cP @ X15 @ X17 )
!= X11 )
| ( $true
!= ( sK20 @ X15 @ X16 @ X14 ) )
| ( $true
= ( sK20 @ X11 @ X10 @ X9 ) ) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f1745,plain,
( spl21_12
| ~ spl21_27
| ~ spl21_29 ),
inference(avatar_contradiction_clause,[status(thm)],[f1744]) ).
thf(f1744,plain,
( $false
| spl21_12
| ~ spl21_27
| ~ spl21_29 ),
inference(subsumption_resolution,[status(thm)],[f1719,f1730]) ).
thf(f1730,plain,
( ( $true
= ( sK20 @ ( sK18 @ sK20 ) @ c0 @ ( sK19 @ sK20 ) ) )
| ~ spl21_27
| ~ spl21_29 ),
inference(forward_demodulation,[status(thm)],[f1638,f1648]) ).
thf(f1638,plain,
( ( $true
= ( sK20 @ ( sK18 @ sK20 ) @ ( sK17 @ sK20 ) @ ( sK19 @ sK20 ) ) )
| ~ spl21_27 ),
inference(avatar_component_clause,[status(thm)],[f1636]) ).
thf(f1636,definition,
( spl21_27
<=> ( $true
= ( sK20 @ ( sK18 @ sK20 ) @ ( sK17 @ sK20 ) @ ( sK19 @ sK20 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl21_27])],[avatar_definition]) ).
thf(f1719,plain,
( ( $true
!= ( sK20 @ ( sK18 @ sK20 ) @ c0 @ ( sK19 @ sK20 ) ) )
| spl21_12
| ~ spl21_29 ),
inference(subsumption_resolution,[status(thm)],[f1703,f207]) ).
thf(f1703,plain,
( ( $true
!= ( sK20 @ ( sK18 @ sK20 ) @ c0 @ ( sK19 @ sK20 ) ) )
| ( $true
= ( sK20 @ x @ y @ y ) )
| ~ spl21_29 ),
inference(superposition,[status(thm)],[f39,f1648]) ).
thf(f1722,plain,
( spl21_12
| ~ spl21_28
| ~ spl21_29 ),
inference(avatar_contradiction_clause,[status(thm)],[f1721]) ).
thf(f1721,plain,
( $false
| spl21_12
| ~ spl21_28
| ~ spl21_29 ),
inference(subsumption_resolution,[status(thm)],[f1720,f55]) ).
thf(f55,plain,
! [X11: a] :
( $true
= ( sK20 @ X11 @ c0 @ X11 ) ),
inference(equality_resolution,[status(thm)],[f54]) ).
thf(f54,plain,
! [X10: a,X11: a] :
( ( c0 != X10 )
| ( $true
= ( sK20 @ X11 @ X10 @ X11 ) ) ),
inference(equality_resolution,[status(thm)],[f36]) ).
thf(f36,plain,
! [X10: a,X11: a,X9: a] :
( ( X9 != X11 )
| ( c0 != X10 )
| ( $true
= ( sK20 @ X11 @ X10 @ X9 ) ) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f1720,plain,
( ( $true
!= ( sK20 @ ( sK18 @ sK20 ) @ c0 @ ( sK18 @ sK20 ) ) )
| spl21_12
| ~ spl21_28
| ~ spl21_29 ),
inference(forward_demodulation,[status(thm)],[f1719,f1642]) ).
thf(f1642,plain,
( ( ( sK18 @ sK20 )
= ( sK19 @ sK20 ) )
| ~ spl21_28 ),
inference(avatar_component_clause,[status(thm)],[f1640]) ).
thf(f1679,plain,
( spl21_11
| ~ spl21_23
| ~ spl21_24 ),
inference(avatar_contradiction_clause,[status(thm)],[f1678]) ).
thf(f1678,plain,
( $false
| spl21_11
| ~ spl21_23
| ~ spl21_24 ),
inference(subsumption_resolution,[status(thm)],[f1677,f55]) ).
thf(f1677,plain,
( ( $true
!= ( sK20 @ ( sK14 @ sK20 ) @ c0 @ ( sK14 @ sK20 ) ) )
| spl21_11
| ~ spl21_23
| ~ spl21_24 ),
inference(forward_demodulation,[status(thm)],[f1676,f1456]) ).
thf(f1456,plain,
( ( ( sK15 @ sK20 )
= ( sK14 @ sK20 ) )
| ~ spl21_23 ),
inference(avatar_component_clause,[status(thm)],[f1454]) ).
thf(f1454,definition,
( spl21_23
<=> ( ( sK15 @ sK20 )
= ( sK14 @ sK20 ) ) ),
introduced(definition,[new_symbols(naming,[spl21_23])],[avatar_definition]) ).
thf(f1676,plain,
( ( $true
!= ( sK20 @ ( sK14 @ sK20 ) @ c0 @ ( sK15 @ sK20 ) ) )
| spl21_11
| ~ spl21_24 ),
inference(subsumption_resolution,[status(thm)],[f1662,f203]) ).
thf(f1662,plain,
( ( $true
!= ( sK20 @ ( sK14 @ sK20 ) @ c0 @ ( sK15 @ sK20 ) ) )
| ( ( sK20 @ w @ z @ z )
= $true )
| ~ spl21_24 ),
inference(superposition,[status(thm)],[f44,f1462]) ).
thf(f1462,plain,
( ( c0
= ( sK16 @ sK20 ) )
| ~ spl21_24 ),
inference(avatar_component_clause,[status(thm)],[f1460]) ).
thf(f1460,definition,
( spl21_24
<=> ( c0
= ( sK16 @ sK20 ) ) ),
introduced(definition,[new_symbols(naming,[spl21_24])],[avatar_definition]) ).
thf(f1661,plain,
( spl21_26
| spl21_29
| spl21_12 ),
inference(avatar_split_clause,[status(thm)],[f1660,f205,f1646,f1632]) ).
thf(f1660,plain,
( ( c0
= ( sK17 @ sK20 ) )
| ( ( sK17 @ sK20 )
= ( sK19 @ sK20 ) )
| ( $true
= ( sK20 @ x @ y @ y ) ) ),
inference(subsumption_resolution,[status(thm)],[f1627,f39]) ).
thf(f1627,plain,
( ( $true
= ( sK20 @ x @ y @ y ) )
| ( c0
= ( sK17 @ sK20 ) )
| ( $true
= ( sK20 @ ( sK18 @ sK20 ) @ ( sK17 @ sK20 ) @ ( sK19 @ sK20 ) ) )
| ( ( sK17 @ sK20 )
= ( sK19 @ sK20 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1623]) ).
thf(f1623,plain,
( ( $true
= ( sK20 @ ( sK18 @ sK20 ) @ ( sK17 @ sK20 ) @ ( sK19 @ sK20 ) ) )
| ( c0
= ( sK17 @ sK20 ) )
| ( $true
= ( sK20 @ x @ y @ y ) )
| ( ( sK17 @ sK20 )
= ( sK19 @ sK20 ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f1589,f42]) ).
thf(f42,plain,
! [X4: a > a > a > $o] :
( ( $true
= ( sP0 @ ( sK18 @ X4 ) @ ( sK17 @ X4 ) @ ( sK19 @ X4 ) @ X4 ) )
| ( c0
= ( sK17 @ X4 ) )
| ( ( sK19 @ X4 )
= ( sK17 @ X4 ) )
| ( $true
= ( X4 @ x @ y @ y ) ) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f1659,plain,
( spl21_29
| spl21_12
| spl21_30 ),
inference(avatar_split_clause,[status(thm)],[f1658,f1650,f205,f1646]) ).
thf(f1658,plain,
( ( c0
= ( sK17 @ sK20 ) )
| ( c0
= ( sK18 @ sK20 ) )
| ( $true
= ( sK20 @ x @ y @ y ) ) ),
inference(subsumption_resolution,[status(thm)],[f1628,f39]) ).
thf(f1628,plain,
( ( $true
= ( sK20 @ x @ y @ y ) )
| ( $true
= ( sK20 @ ( sK18 @ sK20 ) @ ( sK17 @ sK20 ) @ ( sK19 @ sK20 ) ) )
| ( c0
= ( sK17 @ sK20 ) )
| ( c0
= ( sK18 @ sK20 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1625]) ).
thf(f1625,plain,
( ( $true
= ( sK20 @ ( sK18 @ sK20 ) @ ( sK17 @ sK20 ) @ ( sK19 @ sK20 ) ) )
| ( $true
= ( sK20 @ x @ y @ y ) )
| ( c0
= ( sK17 @ sK20 ) )
| ( c0
= ( sK18 @ sK20 ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f1589,f40]) ).
thf(f40,plain,
! [X4: a > a > a > $o] :
( ( $true
= ( sP0 @ ( sK18 @ X4 ) @ ( sK17 @ X4 ) @ ( sK19 @ X4 ) @ X4 ) )
| ( c0
= ( sK18 @ X4 ) )
| ( $true
= ( X4 @ x @ y @ y ) )
| ( c0
= ( sK17 @ X4 ) ) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f1643,plain,
( spl21_26
| spl21_27
| spl21_28
| spl21_12 ),
inference(avatar_split_clause,[status(thm)],[f1630,f205,f1640,f1636,f1632]) ).
thf(f1630,plain,
( ( $true
= ( sK20 @ ( sK18 @ sK20 ) @ ( sK17 @ sK20 ) @ ( sK19 @ sK20 ) ) )
| ( ( sK18 @ sK20 )
= ( sK19 @ sK20 ) )
| ( ( sK17 @ sK20 )
= ( sK19 @ sK20 ) )
| spl21_12 ),
inference(subsumption_resolution,[status(thm)],[f1629,f207]) ).
thf(f1629,plain,
( ( ( sK18 @ sK20 )
= ( sK19 @ sK20 ) )
| ( $true
= ( sK20 @ ( sK18 @ sK20 ) @ ( sK17 @ sK20 ) @ ( sK19 @ sK20 ) ) )
| ( $true
= ( sK20 @ x @ y @ y ) )
| ( ( sK17 @ sK20 )
= ( sK19 @ sK20 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1622]) ).
thf(f1622,plain,
( ( $true
= ( sK20 @ ( sK18 @ sK20 ) @ ( sK17 @ sK20 ) @ ( sK19 @ sK20 ) ) )
| ( ( sK18 @ sK20 )
= ( sK19 @ sK20 ) )
| ( $true
= ( sK20 @ x @ y @ y ) )
| ( ( sK17 @ sK20 )
= ( sK19 @ sK20 ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f1589,f43]) ).
thf(f43,plain,
! [X4: a > a > a > $o] :
( ( $true
= ( sP0 @ ( sK18 @ X4 ) @ ( sK17 @ X4 ) @ ( sK19 @ X4 ) @ X4 ) )
| ( ( sK19 @ X4 )
= ( sK17 @ X4 ) )
| ( ( sK18 @ X4 )
= ( sK19 @ X4 ) )
| ( $true
= ( X4 @ x @ y @ y ) ) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f1479,plain,
( spl21_24
| spl21_11
| spl21_25 ),
inference(avatar_split_clause,[status(thm)],[f1478,f1466,f201,f1460]) ).
thf(f1478,plain,
( ( ( sK20 @ w @ z @ z )
= $true )
| ( c0
= ( sK16 @ sK20 ) )
| ( ( sK15 @ sK20 )
= ( sK16 @ sK20 ) ) ),
inference(subsumption_resolution,[status(thm)],[f1440,f44]) ).
thf(f1440,plain,
( ( ( sK20 @ w @ z @ z )
= $true )
| ( $true
= ( sK20 @ ( sK14 @ sK20 ) @ ( sK16 @ sK20 ) @ ( sK15 @ sK20 ) ) )
| ( c0
= ( sK16 @ sK20 ) )
| ( ( sK15 @ sK20 )
= ( sK16 @ sK20 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1438]) ).
thf(f1438,plain,
( ( $true
= ( sK20 @ ( sK14 @ sK20 ) @ ( sK16 @ sK20 ) @ ( sK15 @ sK20 ) ) )
| ( ( sK20 @ w @ z @ z )
= $true )
| ( ( sK15 @ sK20 )
= ( sK16 @ sK20 ) )
| ( $true != $true )
| ( c0
= ( sK16 @ sK20 ) ) ),
inference(superposition,[status(thm)],[f1416,f45]) ).
thf(f45,plain,
! [X0: a > a > a > $o] :
( ( $true
= ( sP1 @ ( sK16 @ X0 ) @ ( sK15 @ X0 ) @ ( sK14 @ X0 ) @ X0 ) )
| ( c0
= ( sK16 @ X0 ) )
| ( ( X0 @ w @ z @ z )
= $true )
| ( ( sK16 @ X0 )
= ( sK15 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f1416,plain,
! [X2: a,X0: a,X1: a] :
( ( $true
!= ( sP1 @ X0 @ X1 @ X2 @ sK20 ) )
| ( $true
= ( sK20 @ X2 @ X0 @ X1 ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f1374]) ).
thf(f1374,plain,
! [X2: a,X0: a,X1: a] :
( ( $true
!= ( sP1 @ X0 @ X1 @ X2 @ sK20 ) )
| ( $true
!= ( sP1 @ X0 @ X1 @ X2 @ sK20 ) )
| ( $true
= ( sK20 @ X2 @ X0 @ X1 ) ) ),
inference(superposition,[status(thm)],[f1211,f25]) ).
thf(f25,plain,
! [X2: a,X3: a,X0: a > a > a > $o,X1: a] :
( ( ( cP @ ( sK4 @ X3 @ X2 @ X1 @ X0 ) @ ( sK6 @ X3 @ X2 @ X1 @ X0 ) )
= X3 )
| ( $true
!= ( sP1 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f15,plain,
! [X0: a > a > a > $o,X1: a,X2: a,X3: a] :
( ( ( $true
= ( X0 @ ( sK2 @ X3 @ X2 @ X1 @ X0 ) @ ( sK4 @ X3 @ X2 @ X1 @ X0 ) @ ( sK5 @ X3 @ X2 @ X1 @ X0 ) ) )
& ( ( cP @ ( sK2 @ X3 @ X2 @ X1 @ X0 ) @ ( sK7 @ X3 @ X2 @ X1 @ X0 ) )
= X1 )
& ( ( cP @ ( sK5 @ X3 @ X2 @ X1 @ X0 ) @ ( sK3 @ X3 @ X2 @ X1 @ X0 ) )
= X2 )
& ( $true
= ( X0 @ ( sK7 @ X3 @ X2 @ X1 @ X0 ) @ ( sK6 @ X3 @ X2 @ X1 @ X0 ) @ ( sK3 @ X3 @ X2 @ X1 @ X0 ) ) )
& ( ( cP @ ( sK4 @ X3 @ X2 @ X1 @ X0 ) @ ( sK6 @ X3 @ X2 @ X1 @ X0 ) )
= X3 ) )
| ( $true
!= ( sP1 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7])],[f13,f14]) ).
thf(f14,plain,
! [X0: a > a > a > $o,X1: a,X2: a,X3: a] :
( ? [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( ( $true
= ( X0 @ X4 @ X6 @ X7 ) )
& ( ( cP @ X4 @ X9 )
= X1 )
& ( ( cP @ X7 @ X5 )
= X2 )
& ( $true
= ( X0 @ X9 @ X8 @ X5 ) )
& ( ( cP @ X6 @ X8 )
= X3 ) )
=> ( ( $true
= ( X0 @ ( sK2 @ X3 @ X2 @ X1 @ X0 ) @ ( sK4 @ X3 @ X2 @ X1 @ X0 ) @ ( sK5 @ X3 @ X2 @ X1 @ X0 ) ) )
& ( ( cP @ ( sK2 @ X3 @ X2 @ X1 @ X0 ) @ ( sK7 @ X3 @ X2 @ X1 @ X0 ) )
= X1 )
& ( ( cP @ ( sK5 @ X3 @ X2 @ X1 @ X0 ) @ ( sK3 @ X3 @ X2 @ X1 @ X0 ) )
= X2 )
& ( $true
= ( X0 @ ( sK7 @ X3 @ X2 @ X1 @ X0 ) @ ( sK6 @ X3 @ X2 @ X1 @ X0 ) @ ( sK3 @ X3 @ X2 @ X1 @ X0 ) ) )
& ( ( cP @ ( sK4 @ X3 @ X2 @ X1 @ X0 ) @ ( sK6 @ X3 @ X2 @ X1 @ X0 ) )
= X3 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f13,plain,
! [X0: a > a > a > $o,X1: a,X2: a,X3: a] :
( ? [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( ( $true
= ( X0 @ X4 @ X6 @ X7 ) )
& ( ( cP @ X4 @ X9 )
= X1 )
& ( ( cP @ X7 @ X5 )
= X2 )
& ( $true
= ( X0 @ X9 @ X8 @ X5 ) )
& ( ( cP @ X6 @ X8 )
= X3 ) )
| ( $true
!= ( sP1 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(rectify,[status(thm)],[f12]) ).
thf(f12,plain,
! [X0: a > a > a > $o,X2: a,X3: a,X1: a] :
( ? [X9: a,X6: a,X5: a,X8: a,X7: a,X4: a] :
( ( $true
= ( X0 @ X9 @ X5 @ X8 ) )
& ( ( cP @ X9 @ X4 )
= X2 )
& ( ( cP @ X8 @ X6 )
= X3 )
& ( $true
= ( X0 @ X4 @ X7 @ X6 ) )
& ( ( cP @ X5 @ X7 )
= X1 ) )
| ( $true
!= ( sP1 @ X1 @ X3 @ X2 @ X0 ) ) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
thf(f1211,plain,
! [X2: a,X0: a,X1: a] :
( ( $true
= ( sK20 @ X2 @ ( cP @ ( sK4 @ X0 @ X1 @ X2 @ sK20 ) @ ( sK6 @ X0 @ X1 @ X2 @ sK20 ) ) @ X1 ) )
| ( $true
!= ( sP1 @ X0 @ X1 @ X2 @ sK20 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1210]) ).
thf(f1210,plain,
! [X2: a,X0: a,X1: a] :
( ( $true
= ( sK20 @ X2 @ ( cP @ ( sK4 @ X0 @ X1 @ X2 @ sK20 ) @ ( sK6 @ X0 @ X1 @ X2 @ sK20 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( sP1 @ X0 @ X1 @ X2 @ sK20 ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f1209]) ).
thf(f1209,plain,
! [X2: a,X0: a,X1: a] :
( ( $true
= ( sK20 @ X2 @ ( cP @ ( sK4 @ X0 @ X1 @ X2 @ sK20 ) @ ( sK6 @ X0 @ X1 @ X2 @ sK20 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( sP1 @ X0 @ X1 @ X2 @ sK20 ) )
| ( $true
!= ( sP1 @ X0 @ X1 @ X2 @ sK20 ) ) ),
inference(superposition,[status(thm)],[f1031,f29]) ).
thf(f29,plain,
! [X2: a,X3: a,X0: a > a > a > $o,X1: a] :
( ( $true
= ( X0 @ ( sK2 @ X3 @ X2 @ X1 @ X0 ) @ ( sK4 @ X3 @ X2 @ X1 @ X0 ) @ ( sK5 @ X3 @ X2 @ X1 @ X0 ) ) )
| ( $true
!= ( sP1 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f1031,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( ( sK20 @ ( sK2 @ X0 @ X1 @ X2 @ sK20 ) @ X3 @ ( sK5 @ X0 @ X1 @ X2 @ sK20 ) )
!= $true )
| ( $true
= ( sK20 @ X2 @ ( cP @ X3 @ ( sK6 @ X0 @ X1 @ X2 @ sK20 ) ) @ X1 ) )
| ( $true
!= ( sP1 @ X0 @ X1 @ X2 @ sK20 ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f1023]) ).
thf(f1023,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( $true
!= ( sP1 @ X0 @ X1 @ X2 @ sK20 ) )
| ( ( sK20 @ ( sK2 @ X0 @ X1 @ X2 @ sK20 ) @ X3 @ ( sK5 @ X0 @ X1 @ X2 @ sK20 ) )
!= $true )
| ( $true
!= ( sP1 @ X0 @ X1 @ X2 @ sK20 ) )
| ( $true
= ( sK20 @ X2 @ ( cP @ X3 @ ( sK6 @ X0 @ X1 @ X2 @ sK20 ) ) @ X1 ) ) ),
inference(superposition,[status(thm)],[f532,f28]) ).
thf(f28,plain,
! [X2: a,X3: a,X0: a > a > a > $o,X1: a] :
( ( ( cP @ ( sK2 @ X3 @ X2 @ X1 @ X0 ) @ ( sK7 @ X3 @ X2 @ X1 @ X0 ) )
= X1 )
| ( $true
!= ( sP1 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f532,plain,
! [X2: a,X3: a,X0: a,X1: a,X4: a] :
( ( $true
= ( sK20 @ ( cP @ X3 @ ( sK7 @ X0 @ X1 @ X2 @ sK20 ) ) @ ( cP @ X4 @ ( sK6 @ X0 @ X1 @ X2 @ sK20 ) ) @ X1 ) )
| ( $true
!= ( sK20 @ X3 @ X4 @ ( sK5 @ X0 @ X1 @ X2 @ sK20 ) ) )
| ( $true
!= ( sP1 @ X0 @ X1 @ X2 @ sK20 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f531]) ).
thf(f531,plain,
! [X2: a,X3: a,X0: a,X1: a,X4: a] :
( ( $true
!= ( sP1 @ X0 @ X1 @ X2 @ sK20 ) )
| ( $true
!= ( sK20 @ X3 @ X4 @ ( sK5 @ X0 @ X1 @ X2 @ sK20 ) ) )
| ( $true != $true )
| ( $true
= ( sK20 @ ( cP @ X3 @ ( sK7 @ X0 @ X1 @ X2 @ sK20 ) ) @ ( cP @ X4 @ ( sK6 @ X0 @ X1 @ X2 @ sK20 ) ) @ X1 ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f529]) ).
thf(f529,plain,
! [X2: a,X3: a,X0: a,X1: a,X4: a] :
( ( $true
!= ( sK20 @ X3 @ X4 @ ( sK5 @ X0 @ X1 @ X2 @ sK20 ) ) )
| ( $true
!= ( sP1 @ X0 @ X1 @ X2 @ sK20 ) )
| ( $true
= ( sK20 @ ( cP @ X3 @ ( sK7 @ X0 @ X1 @ X2 @ sK20 ) ) @ ( cP @ X4 @ ( sK6 @ X0 @ X1 @ X2 @ sK20 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( sP1 @ X0 @ X1 @ X2 @ sK20 ) ) ),
inference(superposition,[status(thm)],[f182,f26]) ).
thf(f26,plain,
! [X2: a,X3: a,X0: a > a > a > $o,X1: a] :
( ( $true
= ( X0 @ ( sK7 @ X3 @ X2 @ X1 @ X0 ) @ ( sK6 @ X3 @ X2 @ X1 @ X0 ) @ ( sK3 @ X3 @ X2 @ X1 @ X0 ) ) )
| ( $true
!= ( sP1 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f182,plain,
! [X2: a,X3: a > a > a > $o,X0: a,X1: a,X6: a,X7: a,X4: a,X5: a] :
( ( $true
!= ( sK20 @ X5 @ X7 @ ( sK3 @ X0 @ X1 @ X2 @ X3 ) ) )
| ( $true
!= ( sP1 @ X0 @ X1 @ X2 @ X3 ) )
| ( $true
!= ( sK20 @ X4 @ X6 @ ( sK5 @ X0 @ X1 @ X2 @ X3 ) ) )
| ( $true
= ( sK20 @ ( cP @ X4 @ X5 ) @ ( cP @ X6 @ X7 ) @ X1 ) ) ),
inference(superposition,[status(thm)],[f53,f27]) ).
thf(f27,plain,
! [X2: a,X3: a,X0: a > a > a > $o,X1: a] :
( ( ( cP @ ( sK5 @ X3 @ X2 @ X1 @ X0 ) @ ( sK3 @ X3 @ X2 @ X1 @ X0 ) )
= X2 )
| ( $true
!= ( sP1 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f1477,plain,
( spl21_11
| spl21_22
| spl21_24 ),
inference(avatar_split_clause,[status(thm)],[f1476,f1460,f1450,f201]) ).
thf(f1476,plain,
( ( c0
= ( sK14 @ sK20 ) )
| ( ( sK20 @ w @ z @ z )
= $true )
| ( c0
= ( sK16 @ sK20 ) ) ),
inference(subsumption_resolution,[status(thm)],[f1442,f44]) ).
thf(f1442,plain,
( ( c0
= ( sK16 @ sK20 ) )
| ( c0
= ( sK14 @ sK20 ) )
| ( ( sK20 @ w @ z @ z )
= $true )
| ( $true
= ( sK20 @ ( sK14 @ sK20 ) @ ( sK16 @ sK20 ) @ ( sK15 @ sK20 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1439]) ).
thf(f1439,plain,
( ( c0
= ( sK14 @ sK20 ) )
| ( ( sK20 @ w @ z @ z )
= $true )
| ( c0
= ( sK16 @ sK20 ) )
| ( $true
= ( sK20 @ ( sK14 @ sK20 ) @ ( sK16 @ sK20 ) @ ( sK15 @ sK20 ) ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f1416,f47]) ).
thf(f47,plain,
! [X0: a > a > a > $o] :
( ( $true
= ( sP1 @ ( sK16 @ X0 ) @ ( sK15 @ X0 ) @ ( sK14 @ X0 ) @ X0 ) )
| ( ( X0 @ w @ z @ z )
= $true )
| ( c0
= ( sK14 @ X0 ) )
| ( c0
= ( sK16 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f1475,plain,
( spl21_11
| spl21_23
| spl21_22 ),
inference(avatar_split_clause,[status(thm)],[f1474,f1450,f1454,f201]) ).
thf(f1474,plain,
( ( ( sK20 @ w @ z @ z )
= $true )
| ( ( sK15 @ sK20 )
= ( sK14 @ sK20 ) )
| ( c0
= ( sK14 @ sK20 ) ) ),
inference(subsumption_resolution,[status(thm)],[f1443,f44]) ).
thf(f1443,plain,
( ( ( sK20 @ w @ z @ z )
= $true )
| ( c0
= ( sK14 @ sK20 ) )
| ( $true
= ( sK20 @ ( sK14 @ sK20 ) @ ( sK16 @ sK20 ) @ ( sK15 @ sK20 ) ) )
| ( ( sK15 @ sK20 )
= ( sK14 @ sK20 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1437]) ).
thf(f1437,plain,
( ( $true != $true )
| ( ( sK15 @ sK20 )
= ( sK14 @ sK20 ) )
| ( ( sK20 @ w @ z @ z )
= $true )
| ( $true
= ( sK20 @ ( sK14 @ sK20 ) @ ( sK16 @ sK20 ) @ ( sK15 @ sK20 ) ) )
| ( c0
= ( sK14 @ sK20 ) ) ),
inference(superposition,[status(thm)],[f1416,f48]) ).
thf(f48,plain,
! [X0: a > a > a > $o] :
( ( $true
= ( sP1 @ ( sK16 @ X0 ) @ ( sK15 @ X0 ) @ ( sK14 @ X0 ) @ X0 ) )
| ( ( X0 @ w @ z @ z )
= $true )
| ( c0
= ( sK14 @ X0 ) )
| ( ( sK15 @ X0 )
= ( sK14 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f1473,plain,
( spl21_25
| spl21_23
| spl21_11 ),
inference(avatar_split_clause,[status(thm)],[f1472,f201,f1454,f1466]) ).
thf(f1472,plain,
( ( ( sK15 @ sK20 )
= ( sK16 @ sK20 ) )
| ( ( sK20 @ w @ z @ z )
= $true )
| ( ( sK15 @ sK20 )
= ( sK14 @ sK20 ) ) ),
inference(subsumption_resolution,[status(thm)],[f1441,f44]) ).
thf(f1441,plain,
( ( ( sK20 @ w @ z @ z )
= $true )
| ( ( sK15 @ sK20 )
= ( sK14 @ sK20 ) )
| ( ( sK15 @ sK20 )
= ( sK16 @ sK20 ) )
| ( $true
= ( sK20 @ ( sK14 @ sK20 ) @ ( sK16 @ sK20 ) @ ( sK15 @ sK20 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1436]) ).
thf(f1436,plain,
( ( ( sK15 @ sK20 )
= ( sK16 @ sK20 ) )
| ( $true != $true )
| ( $true
= ( sK20 @ ( sK14 @ sK20 ) @ ( sK16 @ sK20 ) @ ( sK15 @ sK20 ) ) )
| ( ( sK15 @ sK20 )
= ( sK14 @ sK20 ) )
| ( ( sK20 @ w @ z @ z )
= $true ) ),
inference(superposition,[status(thm)],[f1416,f46]) ).
thf(f46,plain,
! [X0: a > a > a > $o] :
( ( $true
= ( sP1 @ ( sK16 @ X0 ) @ ( sK15 @ X0 ) @ ( sK14 @ X0 ) @ X0 ) )
| ( ( X0 @ w @ z @ z )
= $true )
| ( ( sK16 @ X0 )
= ( sK15 @ X0 ) )
| ( ( sK15 @ X0 )
= ( sK14 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f208,plain,
( ~ spl21_11
| ~ spl21_12 ),
inference(avatar_split_clause,[status(thm)],[f199,f205,f201]) ).
thf(f199,plain,
( ( $true
!= ( sK20 @ x @ y @ y ) )
| ( ( sK20 @ w @ z @ z )
!= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f198]) ).
thf(f198,plain,
( ( ( sK20 @ w @ z @ z )
!= $true )
| ( $true
!= ( sK20 @ x @ y @ y ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f35,f53]) ).
thf(f35,plain,
( $true
!= ( sK20 @ ( cP @ x @ w ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV208^5 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.34 % Computer : n013.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 12:41:23 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
% 0.30/0.46 ---- Original DTF file ---
% 0.30/0.46 thf(spec,logic,$$dhol).
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 % File : SEV208^5 : TPTP v9.2.1. Released v4.0.0.
% 0.30/0.46 % Domain : Set Theory (Sets of sets)
% 0.30/0.46 % Problem : TPS problem from S-THMS
% 0.30/0.46 % Version : Especial.
% 0.30/0.46 % English :
% 0.30/0.46
% 0.30/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.30/0.46 % Source : [Bro09]
% 0.30/0.46 % Names : tps_1209 [Bro09]
% 0.30/0.46
% 0.30/0.46 % Status : Theorem
% 0.30/0.46 % Rating : 0.33 v9.1.0, 0.38 v9.0.0, 0.30 v8.2.0, 0.23 v8.1.0, 0.27 v7.5.0, 0.29 v7.4.0, 0.33 v7.2.0, 0.25 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, 0.50 v5.4.0, 0.60 v5.2.0, 0.80 v4.1.0, 1.00 v4.0.0
% 0.30/0.46 % Syntax : Number of formulae : 8 ( 0 unt; 7 typ; 0 def)
% 0.30/0.46 % Number of atoms : 24 ( 21 equ; 0 cnn)
% 0.30/0.46 % Maximal formula atoms : 24 ( 24 avg)
% 0.30/0.46 % Number of connectives : 95 ( 0 ~; 6 |; 22 &; 60 @)
% 0.30/0.46 % ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% 0.30/0.46 % Maximal formula depth : 25 ( 25 avg)
% 0.30/0.46 % Number of types : 2 ( 1 usr)
% 0.30/0.46 % Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% 0.30/0.46 % Number of symbols : 8 ( 6 usr; 6 con; 0-2 aty)
% 0.30/0.46 % Number of variables : 30 ( 0 ^; 12 !; 18 ?; 30 :)
% 0.30/0.46 % SPC : TH0_THM_EQU_NAR
% 0.30/0.46
% 0.30/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.30/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.30/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.30/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 thf(a_type,type,
% 0.30/0.46 a: $tType ).
% 0.30/0.46
% 0.30/0.46 thf(z,type,
% 0.30/0.46 z: a ).
% 0.30/0.46
% 0.30/0.46 thf(y,type,
% 0.30/0.46 y: a ).
% 0.30/0.46
% 0.30/0.46 thf(cP,type,
% 0.30/0.46 cP: a > a > a ).
% 0.30/0.46
% 0.30/0.46 thf(w,type,
% 0.30/0.46 w: a ).
% 0.30/0.46
% 0.30/0.46 thf(x,type,
% 0.30/0.46 x: a ).
% 0.30/0.46
% 0.30/0.46 thf(c0,type,
% 0.30/0.46 c0: a ).
% 0.30/0.46
% 0.30/0.46 thf(cS_INCL_LEM1_pme,conjecture,
% 0.30/0.46 ( ( ! [R: a > a > a > $o] :
% 0.30/0.46 ( ( $true
% 0.30/0.46 & ! [Xa: a,Xb: a,Xc: a] :
% 0.30/0.46 ( ( ( ( Xa = c0 )
% 0.30/0.46 & ( Xb = Xc ) )
% 0.30/0.46 | ( ( Xb = c0 )
% 0.30/0.46 & ( Xa = Xc ) )
% 0.30/0.46 | ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
% 0.30/0.46 ( ( Xa
% 0.30/0.46 = ( cP @ Xx1 @ Xx2 ) )
% 0.30/0.46 & ( Xb
% 0.30/0.46 = ( cP @ Xy1 @ Xy2 ) )
% 0.30/0.46 & ( Xc
% 0.30/0.46 = ( cP @ Xz1 @ Xz2 ) )
% 0.30/0.46 & ( R @ Xx1 @ Xy1 @ Xz1 )
% 0.30/0.46 & ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
% 0.30/0.46 => ( R @ Xa @ Xb @ Xc ) ) )
% 0.30/0.46 => ( R @ x @ y @ y ) )
% 0.30/0.46 & ! [R: a > a > a > $o] :
% 0.30/0.46 ( ( $true
% 0.30/0.46 & ! [Xa: a,Xb: a,Xc: a] :
% 0.30/0.46 ( ( ( ( Xa = c0 )
% 0.30/0.46 & ( Xb = Xc ) )
% 0.30/0.46 | ( ( Xb = c0 )
% 0.30/0.46 & ( Xa = Xc ) )
% 0.30/0.46 | ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
% 0.30/0.46 ( ( Xa
% 0.30/0.46 = ( cP @ Xx1 @ Xx2 ) )
% 0.30/0.46 & ( Xb
% 0.30/0.46 = ( cP @ Xy1 @ Xy2 ) )
% 0.30/0.46 & ( Xc
% 0.30/0.46 = ( cP @ Xz1 @ Xz2 ) )
% 0.30/0.46 & ( R @ Xx1 @ Xy1 @ Xz1 )
% 0.30/0.46 & ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
% 0.30/0.46 => ( R @ Xa @ Xb @ Xc ) ) )
% 0.30/0.46 => ( R @ w @ z @ z ) ) )
% 0.30/0.46 => ! [R: a > a > a > $o] :
% 0.30/0.46 ( ( $true
% 0.30/0.46 & ! [Xa: a,Xb: a,Xc: a] :
% 0.30/0.46 ( ( ( ( Xa = c0 )
% 0.30/0.46 & ( Xb = Xc ) )
% 0.30/0.46 | ( ( Xb = c0 )
% 0.30/0.46 & ( Xa = Xc ) )
% 0.30/0.46 | ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
% 0.30/0.46 ( ( Xa
% 0.30/0.46 = ( cP @ Xx1 @ Xx2 ) )
% 0.30/0.46 & ( Xb
% 0.30/0.46 = ( cP @ Xy1 @ Xy2 ) )
% 0.30/0.46 & ( Xc
% 0.30/0.46 = ( cP @ Xz1 @ Xz2 ) )
% 0.30/0.46 & ( R @ Xx1 @ Xy1 @ Xz1 )
% 0.30/0.46 & ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
% 0.30/0.46 => ( R @ Xa @ Xb @ Xc ) ) )
% 0.30/0.46 => ( R @ ( cP @ x @ w ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ) ) ) ).
% 0.30/0.46
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 ------------------------
% 1.68/1.34 ---- Embedded in THF ---
% 1.68/1.34 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.68/1.34 %%% Generated on Tue Feb 24 12:41:24 EST 2026
% 1.68/1.34 %%% using '$$dhol' embedding, version 1.3.0.
% 1.68/1.34 %%% Logic specification used:
% 1.68/1.34 %%% thf(spec, logic, $$dhol).
% 1.68/1.34
% 1.68/1.34 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.tBHMbtBaIJ/DTF2DTF5479.p
% See solution above
% 1.68/1.34 ------------------------
% 1.68/1.35 ---- Cleaned THF ---
% 1.68/1.35 thf(a_type,type,
% 1.68/1.35 a: $tType ).
% 1.68/1.35
% 1.68/1.35 thf(z,type,
% 1.68/1.35 z: a ).
% 1.68/1.35
% 1.68/1.35 thf(y,type,
% 1.68/1.35 y: a ).
% 1.68/1.35
% 1.68/1.35 thf(cP,type,
% 1.68/1.35 cP: a > a > a ).
% 1.68/1.35
% 1.68/1.35 thf(w,type,
% 1.68/1.35 w: a ).
% 1.68/1.35
% 1.68/1.35 thf(x,type,
% 1.68/1.35 x: a ).
% 1.68/1.35
% 1.68/1.35 thf(c0,type,
% 1.68/1.35 c0: a ).
% 1.68/1.35
% 1.68/1.35 thf(cS_INCL_LEM1_pme,conjecture,
% 1.68/1.35 ( ( ! [R: a > a > a > $o] :
% 1.68/1.35 ( ( $true
% 1.68/1.35 & ! [Xa: a,Xb: a,Xc: a] :
% 1.68/1.35 ( ( ( ( Xa = c0 )
% 1.68/1.35 & ( Xb = Xc ) )
% 1.68/1.35 | ( ( Xb = c0 )
% 1.68/1.35 & ( Xa = Xc ) )
% 1.68/1.35 | ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
% 1.68/1.35 ( ( Xa
% 1.68/1.35 = ( cP @ Xx1 @ Xx2 ) )
% 1.68/1.35 & ( Xb
% 1.68/1.35 = ( cP @ Xy1 @ Xy2 ) )
% 1.68/1.35 & ( Xc
% 1.68/1.35 = ( cP @ Xz1 @ Xz2 ) )
% 1.68/1.35 & ( R @ Xx1 @ Xy1 @ Xz1 )
% 1.68/1.35 & ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
% 1.68/1.35 => ( R @ Xa @ Xb @ Xc ) ) )
% 1.68/1.35 => ( R @ x @ y @ y ) )
% 1.68/1.35 & ! [R: a > a > a > $o] :
% 1.68/1.35 ( ( $true
% 1.68/1.35 & ! [Xa: a,Xb: a,Xc: a] :
% 1.68/1.35 ( ( ( ( Xa = c0 )
% 1.68/1.35 & ( Xb = Xc ) )
% 1.68/1.35 | ( ( Xb = c0 )
% 1.68/1.35 & ( Xa = Xc ) )
% 1.68/1.35 | ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
% 1.68/1.35 ( ( Xa
% 1.68/1.35 = ( cP @ Xx1 @ Xx2 ) )
% 1.68/1.35 & ( Xb
% 1.68/1.35 = ( cP @ Xy1 @ Xy2 ) )
% 1.68/1.35 & ( Xc
% 1.68/1.35 = ( cP @ Xz1 @ Xz2 ) )
% 1.68/1.35 & ( R @ Xx1 @ Xy1 @ Xz1 )
% 1.68/1.35 & ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
% 1.68/1.35 => ( R @ Xa @ Xb @ Xc ) ) )
% 1.68/1.35 => ( R @ w @ z @ z ) ) )
% 1.68/1.35 => ! [R: a > a > a > $o] :
% 1.68/1.35 ( ( $true
% 1.68/1.35 & ! [Xa: a,Xb: a,Xc: a] :
% 1.68/1.35 ( ( ( ( Xa = c0 )
% 1.68/1.35 & ( Xb = Xc ) )
% 1.68/1.35 | ( ( Xb = c0 )
% 1.68/1.35 & ( Xa = Xc ) )
% 1.68/1.35 | ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
% 1.68/1.35 ( ( Xa
% 1.68/1.35 = ( cP @ Xx1 @ Xx2 ) )
% 1.68/1.35 & ( Xb
% 1.68/1.35 = ( cP @ Xy1 @ Xy2 ) )
% 1.68/1.36 & ( Xc
% 1.68/1.36 = ( cP @ Xz1 @ Xz2 ) )
% 1.68/1.36 & ( R @ Xx1 @ Xy1 @ Xz1 )
% 1.68/1.36 & ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
% 1.68/1.36 => ( R @ Xa @ Xb @ Xc ) ) )
% 1.68/1.36 => ( R @ ( cP @ x @ w ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ) ) ) ).
% 1.68/1.36 ------------------------
% 1.68/1.37 % (5646)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_5479 for (2999ds/2Mi)
% 1.68/1.37 % (5646)Instruction limit reached!
% 1.68/1.37 % (5646)------------------------------
% 1.68/1.37 % (5646)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.68/1.37 % (5646)Termination reason: Unknown
% 1.68/1.37 % (5646)Termination phase: Preprocessing 3
% 1.68/1.37
% 1.68/1.37 % (5646)Memory used [KB]: 1023
% 1.68/1.37 % (5646)Time elapsed: 0.002 s
% 1.68/1.37 % (5646)Instructions burned: 3 (million)
% 1.68/1.37 % (5646)------------------------------
% 1.68/1.37 % (5646)------------------------------
% 1.68/1.38 % (5643)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_5479 for (2999ds/183Mi)
% 1.68/1.38 % (5644)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_5479 for (2999ds/4Mi)
% 1.68/1.38 % (5645)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_5479 for (2999ds/27Mi)
% 1.68/1.38 % (5647)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_5479 for (2999ds/2Mi)
% 1.68/1.38 % (5648)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_5479 for (2999ds/275Mi)
% 1.68/1.38 % (5647)Instruction limit reached!
% 1.68/1.38 % (5647)------------------------------
% 1.68/1.38 % (5647)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.68/1.38 % (5647)Termination reason: Unknown
% 1.68/1.38 % (5647)Termination phase: shuffling
% 1.68/1.38
% 1.68/1.38 % (5647)Memory used [KB]: 1023
% 1.68/1.38 % (5647)Time elapsed: 0.003 s
% 1.68/1.38 % (5647)Instructions burned: 2 (million)
% 1.68/1.38 % (5647)------------------------------
% 1.68/1.38 % (5647)------------------------------
% 1.68/1.38 % (5644)Instruction limit reached!
% 1.68/1.38 % (5644)------------------------------
% 1.68/1.38 % (5644)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.68/1.38 % (5644)Termination reason: Unknown
% 1.68/1.38 % (5644)Termination phase: Property scanning
% 1.68/1.38
% 1.68/1.38 % (5644)Memory used [KB]: 1023
% 1.68/1.38 % (5644)Time elapsed: 0.005 s
% 1.68/1.38 % (5644)Instructions burned: 6 (million)
% 1.68/1.38 % (5644)------------------------------
% 1.68/1.38 % (5644)------------------------------
% 1.68/1.38 % (5650)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_5479 for (2999ds/3Mi)
% 1.68/1.38 % (5650)Instruction limit reached!
% 1.68/1.38 % (5650)------------------------------
% 1.68/1.38 % (5650)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.68/1.38 % (5650)Termination reason: Unknown
% 1.68/1.38 % (5650)Termination phase: Property scanning
% 1.68/1.38
% 1.68/1.38 % (5650)Memory used [KB]: 1023
% 1.68/1.38 % (5650)Time elapsed: 0.003 s
% 1.68/1.38 % (5650)Instructions burned: 4 (million)
% 1.68/1.38 % (5650)------------------------------
% 1.68/1.38 % (5650)------------------------------
% 1.68/1.39 % (5649)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_5479 for (2999ds/18Mi)
% 1.68/1.39 % (5652)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_5479 for (2999ds/15Mi)
% 1.68/1.39 % (5653)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_5479 for (2999ds/3Mi)
% 1.68/1.39 % (5645)Instruction limit reached!
% 1.68/1.39 % (5645)------------------------------
% 1.68/1.39 % (5645)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.68/1.39 % (5645)Termination reason: Unknown
% 1.68/1.39 % (5645)Termination phase: Saturation
% 1.68/1.39
% 1.68/1.39 % (5645)Memory used [KB]: 5756
% 1.68/1.39 % (5645)Time elapsed: 0.018 s
% 1.68/1.39 % (5645)Instructions burned: 27 (million)
% 1.68/1.39 % (5645)------------------------------
% 1.68/1.39 % (5645)------------------------------
% 1.68/1.39 % (5653)Instruction limit reached!
% 1.68/1.39 % (5653)------------------------------
% 1.68/1.39 % (5653)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.68/1.39 % (5653)Termination reason: Unknown
% 1.68/1.39 % (5653)Termination phase: Property scanning
% 1.68/1.39
% 1.68/1.39 % (5653)Memory used [KB]: 1023
% 1.68/1.39 % (5653)Time elapsed: 0.003 s
% 1.68/1.39 % (5653)Instructions burned: 4 (million)
% 1.68/1.39 % (5653)------------------------------
% 1.68/1.39 % (5653)------------------------------
% 1.68/1.40 % (5651)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_5479 for (2999ds/37Mi)
% 1.68/1.40 % (5652)Instruction limit reached!
% 1.68/1.40 % (5652)------------------------------
% 1.68/1.40 % (5652)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.68/1.40 % (5652)Termination reason: Unknown
% 1.68/1.40 % (5652)Termination phase: Saturation
% 1.68/1.40
% 1.68/1.40 % (5652)Memory used [KB]: 5628
% 1.68/1.40 % (5652)Time elapsed: 0.006 s
% 1.68/1.40 % (5652)Instructions burned: 15 (million)
% 1.68/1.40 % (5652)------------------------------
% 1.68/1.40 % (5652)------------------------------
% 1.78/1.40 % (5649)Instruction limit reached!
% 1.78/1.40 % (5649)------------------------------
% 1.78/1.40 % (5649)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.40 % (5649)Termination reason: Unknown
% 1.78/1.40 % (5649)Termination phase: Saturation
% 1.78/1.40
% 1.78/1.40 % (5649)Memory used [KB]: 5628
% 1.78/1.40 % (5649)Time elapsed: 0.018 s
% 1.78/1.40 % (5649)Instructions burned: 18 (million)
% 1.78/1.40 % (5649)------------------------------
% 1.78/1.40 % (5649)------------------------------
% 1.78/1.40 % (5656)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_5479 for (2999ds/7Mi)
% 1.78/1.41 % (5656)Instruction limit reached!
% 1.78/1.41 % (5656)------------------------------
% 1.78/1.41 % (5656)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.41 % (5656)Termination reason: Unknown
% 1.78/1.41 % (5656)Termination phase: Saturation
% 1.78/1.41
% 1.78/1.41 % (5656)Memory used [KB]: 1023
% 1.78/1.41 % (5656)Time elapsed: 0.004 s
% 1.78/1.41 % (5656)Instructions burned: 8 (million)
% 1.78/1.41 % (5656)------------------------------
% 1.78/1.41 % (5656)------------------------------
% 1.78/1.41 % (5657)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_5479 for (2999ds/16Mi)
% 1.78/1.41 % (5655)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_5479 for (2999ds/1041Mi)
% 1.78/1.41 % (5657)Instruction limit reached!
% 1.78/1.41 % (5657)------------------------------
% 1.78/1.41 % (5657)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.41 % (5657)Termination reason: Unknown
% 1.78/1.41 % (5657)Termination phase: Saturation
% 1.78/1.41
% 1.78/1.41 % (5657)Memory used [KB]: 5628
% 1.78/1.41 % (5657)Time elapsed: 0.007 s
% 1.78/1.41 % (5657)Instructions burned: 16 (million)
% 1.78/1.41 % (5657)------------------------------
% 1.78/1.41 % (5657)------------------------------
% 1.78/1.42 % (5651)Instruction limit reached!
% 1.78/1.42 % (5651)------------------------------
% 1.78/1.42 % (5651)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.42 % (5651)Termination reason: Unknown
% 1.78/1.42 % (5651)Termination phase: Saturation
% 1.78/1.42
% 1.78/1.42 % (5651)Memory used [KB]: 5628
% 1.78/1.42 % (5651)Time elapsed: 0.022 s
% 1.78/1.42 % (5651)Instructions burned: 38 (million)
% 1.78/1.42 % (5651)------------------------------
% 1.78/1.42 % (5651)------------------------------
% 1.78/1.42 % (5659)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_5479 for (2999ds/3Mi)
% 1.78/1.42 % (5659)Instruction limit reached!
% 1.78/1.42 % (5659)------------------------------
% 1.78/1.42 % (5659)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.42 % (5659)Termination reason: Unknown
% 1.78/1.42 % (5659)Termination phase: Preprocessing 3
% 1.78/1.42
% 1.78/1.42 % (5659)Memory used [KB]: 1023
% 1.78/1.42 % (5659)Time elapsed: 0.003 s
% 1.78/1.42 % (5659)Instructions burned: 4 (million)
% 1.78/1.42 % (5659)------------------------------
% 1.78/1.42 % (5659)------------------------------
% 1.78/1.42 % (5658)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_5479 for (2999ds/3Mi)
% 1.78/1.42 % (5662)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_5479 for (2999ds/7Mi)
% 1.78/1.42 % (5658)Instruction limit reached!
% 1.78/1.42 % (5658)------------------------------
% 1.78/1.42 % (5658)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.42 % (5658)Termination reason: Unknown
% 1.78/1.42 % (5658)Termination phase: Preprocessing 3
% 1.78/1.42
% 1.78/1.42 % (5658)Memory used [KB]: 1023
% 1.78/1.42 % (5658)Time elapsed: 0.004 s
% 1.78/1.42 % (5658)Instructions burned: 3 (million)
% 1.78/1.42 % (5658)------------------------------
% 1.78/1.42 % (5658)------------------------------
% 1.78/1.42 % (5662)Instruction limit reached!
% 1.78/1.42 % (5662)------------------------------
% 1.78/1.42 % (5662)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.42 % (5662)Termination reason: Unknown
% 1.78/1.42 % (5662)Termination phase: Saturation
% 1.78/1.42
% 1.78/1.42 % (5662)Memory used [KB]: 1023
% 1.78/1.42 % (5662)Time elapsed: 0.004 s
% 1.78/1.42 % (5662)Instructions burned: 7 (million)
% 1.78/1.42 % (5662)------------------------------
% 1.78/1.42 % (5662)------------------------------
% 1.78/1.43 % (5666)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_5479 for (2999ds/4Mi)
% 1.78/1.43 % (5666)Instruction limit reached!
% 1.78/1.43 % (5666)------------------------------
% 1.78/1.43 % (5666)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.43 % (5666)Termination reason: Unknown
% 1.78/1.43 % (5666)Termination phase: Property scanning
% 1.78/1.43
% 1.78/1.43 % (5666)Memory used [KB]: 1023
% 1.78/1.43 % (5666)Time elapsed: 0.003 s
% 1.78/1.43 % (5666)Instructions burned: 4 (million)
% 1.78/1.43 % (5666)------------------------------
% 1.78/1.43 % (5666)------------------------------
% 1.78/1.43 % (5665)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_5479 for (2999ds/3Mi)
% 1.78/1.43 % (5671)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_5479 for (2999ds/710Mi)
% 1.78/1.43 % (5665)Instruction limit reached!
% 1.78/1.43 % (5665)------------------------------
% 1.78/1.43 % (5665)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.43 % (5665)Termination reason: Unknown
% 1.78/1.43 % (5665)Termination phase: Property scanning
% 1.78/1.43
% 1.78/1.43 % (5665)Memory used [KB]: 1023
% 1.78/1.43 % (5665)Time elapsed: 0.004 s
% 1.78/1.43 % (5665)Instructions burned: 4 (million)
% 1.78/1.43 % (5665)------------------------------
% 1.78/1.43 % (5665)------------------------------
% 1.78/1.44 % (5674)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_5479 for (2999ds/6Mi)
% 1.78/1.44 % (5669)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_5479 for (2999ds/18Mi)
% 1.78/1.44 % (5674)Instruction limit reached!
% 1.78/1.44 % (5674)------------------------------
% 1.78/1.44 % (5674)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.44 % (5674)Termination reason: Unknown
% 1.78/1.44 % (5674)Termination phase: Saturation
% 1.78/1.44
% 1.78/1.44 % (5674)Memory used [KB]: 5500
% 1.78/1.44 % (5674)Time elapsed: 0.004 s
% 1.78/1.44 % (5674)Instructions burned: 8 (million)
% 1.78/1.44 % (5674)------------------------------
% 1.78/1.44 % (5674)------------------------------
% 1.78/1.45 % (5643)Instruction limit reached!
% 1.78/1.45 % (5643)------------------------------
% 1.78/1.45 % (5643)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.45 % (5643)Termination reason: Unknown
% 1.78/1.45 % (5643)Termination phase: Saturation
% 1.78/1.45
% 1.78/1.45 % (5643)Memory used [KB]: 7547
% 1.78/1.45 % (5643)Time elapsed: 0.071 s
% 1.78/1.45 % (5643)Instructions burned: 183 (million)
% 1.78/1.45 % (5643)------------------------------
% 1.78/1.45 % (5643)------------------------------
% 1.78/1.45 % (5681)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_5479 for (2999ds/21Mi)
% 1.78/1.45 % (5669)Instruction limit reached!
% 1.78/1.45 % (5669)------------------------------
% 1.78/1.45 % (5669)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.45 % (5669)Termination reason: Unknown
% 1.78/1.45 % (5669)Termination phase: Saturation
% 1.78/1.45
% 1.78/1.45 % (5669)Memory used [KB]: 5628
% 1.78/1.45 % (5669)Time elapsed: 0.013 s
% 1.78/1.45 % (5669)Instructions burned: 19 (million)
% 1.78/1.45 % (5669)------------------------------
% 1.78/1.45 % (5669)------------------------------
% 1.78/1.45 % (5678)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_5479 for (2999ds/902Mi)
% 1.78/1.46 % (5684)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_5479 for (2999ds/5Mi)
% 1.78/1.46 % (5684)Instruction limit reached!
% 1.78/1.46 % (5684)------------------------------
% 1.78/1.46 % (5684)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.46 % (5684)Termination reason: Unknown
% 1.78/1.46 % (5684)Termination phase: Saturation
% 1.78/1.46
% 1.78/1.46 % (5684)Memory used [KB]: 5500
% 1.78/1.46 % (5684)Time elapsed: 0.003 s
% 1.78/1.46 % (5684)Instructions burned: 7 (million)
% 1.78/1.46 % (5684)------------------------------
% 1.78/1.46 % (5684)------------------------------
% 1.78/1.46 % (5681)Instruction limit reached!
% 1.78/1.46 % (5681)------------------------------
% 1.78/1.46 % (5681)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.46 % (5681)Termination reason: Unknown
% 1.78/1.46 % (5681)Termination phase: Saturation
% 1.78/1.46
% 1.78/1.46 % (5681)Memory used [KB]: 5756
% 1.78/1.46 % (5681)Time elapsed: 0.009 s
% 1.78/1.46 % (5681)Instructions burned: 21 (million)
% 1.78/1.46 % (5681)------------------------------
% 1.78/1.46 % (5681)------------------------------
% 1.78/1.46 % (5688)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_5479 for (2999ds/6Mi)
% 1.78/1.47 % (5691)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_5479 for (2999ds/377Mi)
% 1.78/1.47 % (5688)Instruction limit reached!
% 1.78/1.47 % (5688)------------------------------
% 1.78/1.47 % (5688)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.47 % (5688)Termination reason: Unknown
% 1.78/1.47 % (5688)Termination phase: Saturation
% 1.78/1.47
% 1.78/1.47 % (5688)Memory used [KB]: 5500
% 1.78/1.47 % (5688)Time elapsed: 0.004 s
% 1.78/1.47 % (5688)Instructions burned: 8 (million)
% 1.78/1.47 % (5688)------------------------------
% 1.78/1.47 % (5688)------------------------------
% 1.78/1.47 % (5692)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_5479 for (2999ds/779Mi)
% 1.78/1.48 % (5696)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_5479 for (2999ds/19Mi)
% 1.78/1.48 % (5696)Instruction limit reached!
% 1.78/1.48 % (5696)------------------------------
% 1.78/1.48 % (5696)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.48 % (5696)Termination reason: Unknown
% 1.78/1.48 % (5696)Termination phase: Saturation
% 1.78/1.48
% 1.78/1.48 % (5696)Memory used [KB]: 5628
% 1.78/1.48 % (5696)Time elapsed: 0.031 s
% 1.78/1.48 % (5696)Instructions burned: 21 (million)
% 1.78/1.48 % (5696)------------------------------
% 1.78/1.48 % (5696)------------------------------
% 1.78/1.49 % (5703)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_5479 for (2998ds/879Mi)
% 1.78/1.51 % (5648)Instruction limit reached!
% 1.78/1.51 % (5648)------------------------------
% 1.78/1.51 % (5648)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.51 % (5648)Termination reason: Unknown
% 1.78/1.51 % (5648)Termination phase: Saturation
% 1.78/1.51
% 1.78/1.51 % (5648)Memory used [KB]: 6524
% 1.78/1.51 % (5648)Time elapsed: 0.139 s
% 1.78/1.51 % (5648)Instructions burned: 276 (million)
% 1.78/1.51 % (5648)------------------------------
% 1.78/1.51 % (5648)------------------------------
% 1.78/1.53 % (5716)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_5479 for (2998ds/17Mi)
% 1.78/1.54 % (5716)Instruction limit reached!
% 1.78/1.54 % (5716)------------------------------
% 1.78/1.54 % (5716)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.54 % (5716)Termination reason: Unknown
% 1.78/1.54 % (5716)Termination phase: Saturation
% 1.78/1.54
% 1.78/1.54 % (5716)Memory used [KB]: 5628
% 1.78/1.54 % (5716)Time elapsed: 0.036 s
% 1.78/1.54 % (5716)Instructions burned: 18 (million)
% 1.78/1.54 % (5716)------------------------------
% 1.78/1.54 % (5716)------------------------------
% 1.78/1.56 % (5730)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_5479 for (2998ds/3Mi)
% 1.78/1.56 % (5730)Instruction limit reached!
% 1.78/1.56 % (5730)------------------------------
% 1.78/1.56 % (5730)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.56 % (5730)Termination reason: Unknown
% 1.78/1.56 % (5730)Termination phase: Preprocessing 3
% 1.78/1.56
% 1.78/1.56 % (5730)Memory used [KB]: 1023
% 1.78/1.56 % (5730)Time elapsed: 0.004 s
% 1.78/1.56 % (5730)Instructions burned: 4 (million)
% 1.78/1.56 % (5730)------------------------------
% 1.78/1.56 % (5730)------------------------------
% 1.78/1.58 % (5735)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_5479 for (2997ds/30Mi)
% 1.78/1.58 % (5691)Instruction limit reached!
% 1.78/1.58 % (5691)------------------------------
% 1.78/1.58 % (5691)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.58 % (5691)Termination reason: Unknown
% 1.78/1.58 % (5691)Termination phase: Saturation
% 1.78/1.58
% 1.78/1.58 % (5691)Memory used [KB]: 6780
% 1.78/1.58 % (5691)Time elapsed: 0.137 s
% 1.78/1.58 % (5691)Instructions burned: 379 (million)
% 1.78/1.58 % (5691)------------------------------
% 1.78/1.58 % (5691)------------------------------
% 1.78/1.59 % (5745)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_5479 for (2997ds/127Mi)
% 1.78/1.59 % (5735)Instruction limit reached!
% 1.78/1.59 % (5735)------------------------------
% 1.78/1.59 % (5735)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.59 % (5735)Termination reason: Unknown
% 1.78/1.59 % (5735)Termination phase: Saturation
% 1.78/1.59
% 1.78/1.59 % (5735)Memory used [KB]: 5756
% 1.78/1.59 % (5735)Time elapsed: 0.018 s
% 1.78/1.59 % (5735)Instructions burned: 30 (million)
% 1.78/1.59 % (5735)------------------------------
% 1.78/1.59 % (5735)------------------------------
% 1.78/1.61 % (5751)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_5479 for (2997ds/100Mi)
% 1.78/1.63 % (5745)Instruction limit reached!
% 1.78/1.63 % (5745)------------------------------
% 1.78/1.63 % (5745)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.63 % (5745)Termination reason: Unknown
% 1.78/1.63 % (5745)Termination phase: Saturation
% 1.78/1.63
% 1.78/1.63 % (5745)Memory used [KB]: 6140
% 1.78/1.63 % (5745)Time elapsed: 0.037 s
% 1.78/1.63 % (5745)Instructions burned: 127 (million)
% 1.78/1.63 % (5745)------------------------------
% 1.78/1.63 % (5745)------------------------------
% 1.78/1.64 % (5767)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_5479 for (2997ds/3Mi)
% 1.78/1.64 % (5767)Instruction limit reached!
% 1.78/1.64 % (5767)------------------------------
% 1.78/1.64 % (5767)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.64 % (5767)Termination reason: Unknown
% 1.78/1.64 % (5767)Termination phase: shuffling
% 1.78/1.64
% 1.78/1.64 % (5767)Memory used [KB]: 1023
% 1.78/1.64 % (5767)Time elapsed: 0.002 s
% 1.78/1.64 % (5767)Instructions burned: 3 (million)
% 1.78/1.64 % (5767)------------------------------
% 1.78/1.64 % (5767)------------------------------
% 1.78/1.64 % (5751)Instruction limit reached!
% 1.78/1.64 % (5751)------------------------------
% 1.78/1.64 % (5751)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.64 % (5751)Termination reason: Unknown
% 1.78/1.64 % (5751)Termination phase: Saturation
% 1.78/1.64
% 1.78/1.64 % (5751)Memory used [KB]: 6012
% 1.78/1.64 % (5751)Time elapsed: 0.035 s
% 1.78/1.64 % (5751)Instructions burned: 101 (million)
% 1.78/1.64 % (5751)------------------------------
% 1.78/1.64 % (5751)------------------------------
% 1.78/1.65 % (5773)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_5479 for (2997ds/20Mi)
% 1.78/1.65 % (5671)Instruction limit reached!
% 1.78/1.65 % (5671)------------------------------
% 1.78/1.65 % (5671)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.65 % (5671)Termination reason: Unknown
% 1.78/1.65 % (5671)Termination phase: Saturation
% 1.78/1.65
% 1.78/1.65 % (5671)Memory used [KB]: 7164
% 1.78/1.65 % (5671)Time elapsed: 0.219 s
% 1.78/1.65 % (5671)Instructions burned: 713 (million)
% 1.78/1.65 % (5671)------------------------------
% 1.78/1.65 % (5671)------------------------------
% 1.78/1.65 % (5773)Instruction limit reached!
% 1.78/1.65 % (5773)------------------------------
% 1.78/1.65 % (5773)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.65 % (5773)Termination reason: Unknown
% 1.78/1.65 % (5773)Termination phase: Saturation
% 1.78/1.65
% 1.78/1.65 % (5773)Memory used [KB]: 5756
% 1.78/1.65 % (5773)Time elapsed: 0.007 s
% 1.78/1.65 % (5773)Instructions burned: 20 (million)
% 1.78/1.65 % (5773)------------------------------
% 1.78/1.65 % (5773)------------------------------
% 1.78/1.65 % (5780)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_5479 for (2997ds/86Mi)
% 1.78/1.66 % (5787)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_5479 for (2997ds/39Mi)
% 1.78/1.66 % (5786)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_5479 for (2997ds/107Mi)
% 1.78/1.67 % (5787)Instruction limit reached!
% 1.78/1.67 % (5787)------------------------------
% 1.78/1.67 % (5787)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.67 % (5787)Termination reason: Unknown
% 1.78/1.67 % (5787)Termination phase: Saturation
% 1.78/1.67
% 1.78/1.67 % (5787)Memory used [KB]: 5756
% 1.78/1.67 % (5787)Time elapsed: 0.012 s
% 1.78/1.67 % (5787)Instructions burned: 40 (million)
% 1.78/1.67 % (5787)------------------------------
% 1.78/1.67 % (5787)------------------------------
% 1.78/1.68 % (5780)Instruction limit reached!
% 1.78/1.68 % (5780)------------------------------
% 1.78/1.68 % (5780)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.68 % (5780)Termination reason: Unknown
% 1.78/1.68 % (5780)Termination phase: Saturation
% 1.78/1.68
% 1.78/1.68 % (5780)Memory used [KB]: 5884
% 1.78/1.68 % (5780)Time elapsed: 0.028 s
% 1.78/1.68 % (5780)Instructions burned: 86 (million)
% 1.78/1.68 % (5780)------------------------------
% 1.78/1.68 % (5780)------------------------------
% 1.78/1.68 % (5796)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_5479 for (2996ds/448Mi)
% 1.78/1.69 % (5799)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_5479 for (2996ds/46Mi)
% 1.78/1.70 % (5786)Instruction limit reached!
% 1.78/1.70 % (5786)------------------------------
% 1.78/1.70 % (5786)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.70 % (5786)Termination reason: Unknown
% 1.78/1.70 % (5786)Termination phase: Saturation
% 1.78/1.70
% 1.78/1.70 % (5786)Memory used [KB]: 6140
% 1.78/1.70 % (5786)Time elapsed: 0.038 s
% 1.78/1.70 % (5786)Instructions burned: 107 (million)
% 1.78/1.70 % (5786)------------------------------
% 1.78/1.70 % (5786)------------------------------
% 1.78/1.70 % (5692)Instruction limit reached!
% 1.78/1.70 % (5692)------------------------------
% 1.78/1.70 % (5692)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.70 % (5692)Termination reason: Unknown
% 1.78/1.70 % (5692)Termination phase: Saturation
% 1.78/1.70
% 1.78/1.70 % (5692)Memory used [KB]: 6908
% 1.78/1.70 % (5692)Time elapsed: 0.255 s
% 1.78/1.70 % (5692)Instructions burned: 782 (million)
% 1.78/1.70 % (5692)------------------------------
% 1.78/1.70 % (5692)------------------------------
% 1.78/1.71 % (5799)Instruction limit reached!
% 1.78/1.71 % (5799)------------------------------
% 1.78/1.71 % (5799)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.71 % (5799)Termination reason: Unknown
% 1.78/1.71 % (5799)Termination phase: Saturation
% 1.78/1.71
% 1.78/1.71 % (5799)Memory used [KB]: 5756
% 1.78/1.71 % (5799)Time elapsed: 0.017 s
% 1.78/1.71 % (5799)Instructions burned: 46 (million)
% 1.78/1.71 % (5799)------------------------------
% 1.78/1.71 % (5799)------------------------------
% 1.78/1.71 % (5813)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_5479 for (2996ds/98Mi)
% 1.78/1.71 % (5814)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_5479 for (2996ds/507Mi)
% 1.78/1.72 % (5817)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_5479 for (2996ds/149Mi)
% 1.78/1.74 % (5813)Instruction limit reached!
% 1.78/1.74 % (5813)------------------------------
% 1.78/1.74 % (5813)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.74 % (5813)Termination reason: Unknown
% 1.78/1.74 % (5813)Termination phase: Saturation
% 1.78/1.74
% 1.78/1.74 % (5813)Memory used [KB]: 1407
% 1.78/1.74 % (5813)Time elapsed: 0.033 s
% 1.78/1.74 % (5813)Instructions burned: 99 (million)
% 1.78/1.74 % (5813)------------------------------
% 1.78/1.74 % (5813)------------------------------
% 1.78/1.75 % (5655)Instruction limit reached!
% 1.78/1.75 % (5655)------------------------------
% 1.78/1.75 % (5655)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.75 % (5655)Termination reason: Unknown
% 1.78/1.75 % (5655)Termination phase: Saturation
% 1.78/1.75
% 1.78/1.75 % (5655)Memory used [KB]: 8699
% 1.78/1.75 % (5655)Time elapsed: 0.340 s
% 1.78/1.75 % (5655)Instructions burned: 1042 (million)
% 1.78/1.75 % (5655)------------------------------
% 1.78/1.75 % (5655)------------------------------
% 1.78/1.75 % (5678)Instruction limit reached!
% 1.78/1.75 % (5678)------------------------------
% 1.78/1.75 % (5678)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.75 % (5678)Termination reason: Unknown
% 1.78/1.75 % (5678)Termination phase: Saturation
% 1.78/1.75
% 1.78/1.75 % (5678)Memory used [KB]: 8571
% 1.78/1.75 % (5678)Time elapsed: 0.297 s
% 1.78/1.75 % (5678)Instructions burned: 903 (million)
% 1.78/1.75 % (5678)------------------------------
% 1.78/1.75 % (5678)------------------------------
% 1.78/1.75 % (5832)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_5479 for (2996ds/39Mi)
% 1.78/1.76 % (5837)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_5479 for (2996ds/6Mi)
% 1.78/1.76 % (5838)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_5479 for (2996ds/1087Mi)
% 1.78/1.76 % (5837)Instruction limit reached!
% 1.78/1.76 % (5837)------------------------------
% 1.78/1.76 % (5837)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.76 % (5837)Termination reason: Unknown
% 1.78/1.76 % (5837)Termination phase: Saturation
% 1.78/1.76
% 1.78/1.76 % (5837)Memory used [KB]: 9978
% 1.78/1.76 % (5837)Time elapsed: 0.003 s
% 1.78/1.76 % (5837)Instructions burned: 6 (million)
% 1.78/1.76 % (5837)------------------------------
% 1.78/1.76 % (5837)------------------------------
% 1.78/1.76 % (5832)Instruction limit reached!
% 1.78/1.76 % (5832)------------------------------
% 1.78/1.76 % (5832)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.76 % (5832)Termination reason: Unknown
% 1.78/1.76 % (5832)Termination phase: Saturation
% 1.78/1.76
% 1.78/1.76 % (5832)Memory used [KB]: 5756
% 1.78/1.76 % (5832)Time elapsed: 0.014 s
% 1.78/1.76 % (5832)Instructions burned: 39 (million)
% 1.78/1.76 % (5832)------------------------------
% 1.78/1.76 % (5832)------------------------------
% 1.78/1.76 % (5817)Instruction limit reached!
% 1.78/1.76 % (5817)------------------------------
% 1.78/1.76 % (5817)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.76 % (5817)Termination reason: Unknown
% 1.78/1.76 % (5817)Termination phase: Saturation
% 1.78/1.76
% 1.78/1.76 % (5817)Memory used [KB]: 6012
% 1.78/1.76 % (5817)Time elapsed: 0.049 s
% 1.78/1.76 % (5817)Instructions burned: 149 (million)
% 1.78/1.76 % (5817)------------------------------
% 1.78/1.76 % (5817)------------------------------
% 1.78/1.77 % (5844)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_5479 for (2996ds/47Mi)
% 1.78/1.77 % (5845)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_5479 for (2995ds/44Mi)
% 1.78/1.77 % (5847)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_5479 for (2995ds/432Mi)
% 1.78/1.78 % (5845)Instruction limit reached!
% 1.78/1.78 % (5845)------------------------------
% 1.78/1.78 % (5845)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.78 % (5845)Termination reason: Unknown
% 1.78/1.78 % (5845)Termination phase: Saturation
% 1.78/1.78
% 1.78/1.78 % (5845)Memory used [KB]: 1279
% 1.78/1.78 % (5845)Time elapsed: 0.014 s
% 1.78/1.78 % (5845)Instructions burned: 47 (million)
% 1.78/1.78 % (5845)------------------------------
% 1.78/1.78 % (5845)------------------------------
% 1.78/1.78 % (5844)Instruction limit reached!
% 1.78/1.78 % (5844)------------------------------
% 1.78/1.78 % (5844)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.78 % (5844)Termination reason: Unknown
% 1.78/1.78 % (5844)Termination phase: Saturation
% 1.78/1.78
% 1.78/1.78 % (5844)Memory used [KB]: 5884
% 1.78/1.78 % (5844)Time elapsed: 0.016 s
% 1.78/1.78 % (5844)Instructions burned: 48 (million)
% 1.78/1.78 % (5844)------------------------------
% 1.78/1.78 % (5844)------------------------------
% 1.78/1.79 % (5703)Instruction limit reached!
% 1.78/1.79 % (5703)------------------------------
% 1.78/1.79 % (5703)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.79 % (5703)Termination reason: Unknown
% 1.78/1.79 % (5703)Termination phase: Saturation
% 1.78/1.79
% 1.78/1.79 % (5703)Memory used [KB]: 8315
% 1.78/1.79 % (5703)Time elapsed: 0.318 s
% 1.78/1.79 % (5703)Instructions burned: 881 (million)
% 1.78/1.79 % (5703)------------------------------
% 1.78/1.79 % (5703)------------------------------
% 1.78/1.79 % (5857)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_5479 for (2995ds/62Mi)
% 1.78/1.79 % (5858)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_5479 for (2995ds/31Mi)
% 1.78/1.80 % (5859)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_5479 for (2995ds/96Mi)
% 1.78/1.80 % (5858)Instruction limit reached!
% 1.78/1.80 % (5858)------------------------------
% 1.78/1.80 % (5858)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.80 % (5858)Termination reason: Unknown
% 1.78/1.80 % (5858)Termination phase: Saturation
% 1.78/1.80
% 1.78/1.80 % (5858)Memory used [KB]: 5756
% 1.78/1.80 % (5858)Time elapsed: 0.011 s
% 1.78/1.80 % (5858)Instructions burned: 34 (million)
% 1.78/1.80 % (5858)------------------------------
% 1.78/1.80 % (5858)------------------------------
% 1.78/1.81 % (5796)Instruction limit reached!
% 1.78/1.81 % (5796)------------------------------
% 1.78/1.81 % (5796)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.81 % (5796)Termination reason: Unknown
% 1.78/1.81 % (5796)Termination phase: Saturation
% 1.78/1.81
% 1.78/1.81 % (5796)Memory used [KB]: 6908
% 1.78/1.81 % (5796)Time elapsed: 0.127 s
% 1.78/1.81 % (5796)Instructions burned: 450 (million)
% 1.78/1.81 % (5796)------------------------------
% 1.78/1.81 % (5796)------------------------------
% 1.78/1.81 % (5857)Instruction limit reached!
% 1.78/1.81 % (5857)------------------------------
% 1.78/1.81 % (5857)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.81 % (5857)Termination reason: Unknown
% 1.78/1.81 % (5857)Termination phase: Saturation
% 1.78/1.81
% 1.78/1.81 % (5857)Memory used [KB]: 5884
% 1.78/1.81 % (5857)Time elapsed: 0.019 s
% 1.78/1.81 % (5857)Instructions burned: 65 (million)
% 1.78/1.81 % (5857)------------------------------
% 1.78/1.81 % (5857)------------------------------
% 1.78/1.81 % (5869)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_5479 for (2995ds/453Mi)
% 1.78/1.82 % (5871)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_5479 for (2995ds/71Mi)
% 1.78/1.82 % (5873)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_5479 for (2995ds/83Mi)
% 1.78/1.83 % (5859)Instruction limit reached!
% 1.78/1.83 % (5859)------------------------------
% 1.78/1.83 % (5859)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.83 % (5859)Termination reason: Unknown
% 1.78/1.83 % (5859)Termination phase: Saturation
% 1.78/1.83
% 1.78/1.83 % (5859)Memory used [KB]: 6012
% 1.78/1.83 % (5859)Time elapsed: 0.031 s
% 1.78/1.83 % (5859)Instructions burned: 97 (million)
% 1.78/1.83 % (5859)------------------------------
% 1.78/1.83 % (5859)------------------------------
% 1.78/1.84 % (5877)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_5479 for (2995ds/11Mi)
% 1.78/1.84 % (5877)Instruction limit reached!
% 1.78/1.84 % (5877)------------------------------
% 1.78/1.84 % (5877)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.84 % (5877)Termination reason: Unknown
% 1.78/1.84 % (5877)Termination phase: Saturation
% 1.78/1.84
% 1.78/1.84 % (5877)Memory used [KB]: 5500
% 1.78/1.84 % (5877)Time elapsed: 0.004 s
% 1.78/1.84 % (5877)Instructions burned: 11 (million)
% 1.78/1.84 % (5877)------------------------------
% 1.78/1.84 % (5877)------------------------------
% 1.78/1.84 % (5871)Instruction limit reached!
% 1.78/1.84 % (5871)------------------------------
% 1.78/1.84 % (5871)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.84 % (5871)Termination reason: Unknown
% 1.78/1.84 % (5871)Termination phase: Saturation
% 1.78/1.84
% 1.78/1.84 % (5871)Memory used [KB]: 6012
% 1.78/1.84 % (5871)Time elapsed: 0.024 s
% 1.78/1.84 % (5871)Instructions burned: 71 (million)
% 1.78/1.84 % (5871)------------------------------
% 1.78/1.84 % (5871)------------------------------
% 1.78/1.84 % (5873)Instruction limit reached!
% 1.78/1.84 % (5873)------------------------------
% 1.78/1.84 % (5873)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.84 % (5873)Termination reason: Unknown
% 1.78/1.84 % (5873)Termination phase: Saturation
% 1.78/1.84
% 1.78/1.84 % (5873)Memory used [KB]: 6140
% 1.78/1.84 % (5873)Time elapsed: 0.025 s
% 1.78/1.84 % (5873)Instructions burned: 83 (million)
% 1.78/1.84 % (5873)------------------------------
% 1.78/1.84 % (5873)------------------------------
% 1.78/1.85 % (5885)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_5479 for (2995ds/41Mi)
% 1.78/1.85 % (5887)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_5479 for (2995ds/6Mi)
% 1.78/1.85 % (5887)Instruction limit reached!
% 1.78/1.85 % (5887)------------------------------
% 1.78/1.85 % (5887)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.85 % (5887)Termination reason: Unknown
% 1.78/1.85 % (5887)Termination phase: Property scanning
% 1.78/1.85
% 1.78/1.85 % (5887)Memory used [KB]: 1023
% 1.78/1.85 % (5887)Time elapsed: 0.003 s
% 1.78/1.85 % (5887)Instructions burned: 7 (million)
% 1.78/1.85 % (5887)------------------------------
% 1.78/1.85 % (5887)------------------------------
% 1.78/1.85 % (5888)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_5479 for (2995ds/150Mi)
% 1.78/1.86 % (5885)Instruction limit reached!
% 1.78/1.86 % (5885)------------------------------
% 1.78/1.86 % (5885)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.86 % (5885)Termination reason: Unknown
% 1.78/1.86 % (5885)Termination phase: Saturation
% 1.78/1.86
% 1.78/1.86 % (5885)Memory used [KB]: 5628
% 1.78/1.86 % (5885)Time elapsed: 0.013 s
% 1.78/1.86 % (5885)Instructions burned: 42 (million)
% 1.78/1.86 % (5885)------------------------------
% 1.78/1.86 % (5885)------------------------------
% 1.78/1.86 % (5893)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_5479 for (2995ds/343Mi)
% 1.78/1.86 % (5814)Instruction limit reached!
% 1.78/1.86 % (5814)------------------------------
% 1.78/1.86 % (5814)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.86 % (5814)Termination reason: Unknown
% 1.78/1.86 % (5814)Termination phase: Saturation
% 1.78/1.86
% 1.78/1.86 % (5814)Memory used [KB]: 7291
% 1.78/1.86 % (5814)Time elapsed: 0.156 s
% 1.78/1.86 % (5814)Instructions burned: 510 (million)
% 1.78/1.86 % (5814)------------------------------
% 1.78/1.86 % (5814)------------------------------
% 1.78/1.87 % (5896)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_5479 for (2995ds/109Mi)
% 1.78/1.87 % (5899)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_5479 for (2995ds/253Mi)
% 1.78/1.90 % (5888)Instruction limit reached!
% 1.78/1.90 % (5888)------------------------------
% 1.78/1.90 % (5888)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.90 % (5888)Termination reason: Unknown
% 1.78/1.90 % (5888)Termination phase: Saturation
% 1.78/1.90
% 1.78/1.90 % (5888)Memory used [KB]: 6268
% 1.78/1.90 % (5888)Time elapsed: 0.044 s
% 1.78/1.90 % (5888)Instructions burned: 151 (million)
% 1.78/1.90 % (5888)------------------------------
% 1.78/1.90 % (5888)------------------------------
% 1.78/1.90 % (5847)Instruction limit reached!
% 1.78/1.90 % (5847)------------------------------
% 1.78/1.90 % (5847)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.90 % (5847)Termination reason: Unknown
% 1.78/1.90 % (5847)Termination phase: Saturation
% 1.78/1.90
% 1.78/1.90 % (5847)Memory used [KB]: 4989
% 1.78/1.90 % (5847)Time elapsed: 0.129 s
% 1.78/1.90 % (5847)Instructions burned: 433 (million)
% 1.78/1.90 % (5847)------------------------------
% 1.78/1.90 % (5847)------------------------------
% 1.78/1.90 % (5896)Instruction limit reached!
% 1.78/1.90 % (5896)------------------------------
% 1.78/1.90 % (5896)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.90 % (5896)Termination reason: Unknown
% 1.78/1.90 % (5896)Termination phase: Saturation
% 1.78/1.90
% 1.78/1.90 % (5896)Memory used [KB]: 6268
% 1.78/1.90 % (5896)Time elapsed: 0.033 s
% 1.78/1.90 % (5896)Instructions burned: 111 (million)
% 1.78/1.90 % (5896)------------------------------
% 1.78/1.90 % (5896)------------------------------
% 1.78/1.91 % (5917)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_5479 for (2994ds/140Mi)
% 1.78/1.91 % (5922)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_5479 for (2994ds/202Mi)
% 1.78/1.92 % (5921)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_5479 for (2994ds/614Mi)
% 1.78/1.95 % (5917)Instruction limit reached!
% 1.78/1.95 % (5917)------------------------------
% 1.78/1.95 % (5917)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.95 % (5917)Termination reason: Unknown
% 1.78/1.95 % (5917)Termination phase: Saturation
% 1.78/1.95
% 1.78/1.95 % (5917)Memory used [KB]: 6268
% 1.78/1.95 % (5869)Instruction limit reached!
% 1.78/1.95 % (5869)------------------------------
% 1.78/1.95 % (5869)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.95 % (5917)Time elapsed: 0.068 s
% 1.78/1.95 % (5917)Instructions burned: 140 (million)
% 1.78/1.95 % (5869)Termination reason: Unknown
% 1.78/1.95 % (5917)------------------------------
% 1.78/1.95 % (5917)------------------------------
% 1.78/1.95 % (5869)Termination phase: Saturation
% 1.78/1.95
% 1.78/1.95 % (5869)Memory used [KB]: 6524
% 1.78/1.95 % (5869)Time elapsed: 0.139 s
% 1.78/1.95 % (5869)Instructions burned: 454 (million)
% 1.78/1.95 % (5869)------------------------------
% 1.78/1.95 % (5869)------------------------------
% 1.78/1.95 % (5899)Instruction limit reached!
% 1.78/1.95 % (5899)------------------------------
% 1.78/1.95 % (5899)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.95 % (5899)Termination reason: Unknown
% 1.78/1.95 % (5899)Termination phase: Saturation
% 1.78/1.95
% 1.78/1.95 % (5899)Memory used [KB]: 6524
% 1.78/1.95 % (5899)Time elapsed: 0.100 s
% 1.78/1.95 % (5899)Instructions burned: 256 (million)
% 1.78/1.95 % (5899)------------------------------
% 1.78/1.95 % (5899)------------------------------
% 1.78/1.96 % (5944)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_5479 for (2994ds/339Mi)
% 1.78/1.96 % (5945)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_5479 for (2994ds/283Mi)
% 1.78/1.96 % (5946)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_5479 for (2994ds/134Mi)
% 1.78/1.97 % (5893)Instruction limit reached!
% 1.78/1.97 % (5893)------------------------------
% 1.78/1.97 % (5893)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.97 % (5893)Termination reason: Unknown
% 1.78/1.97 % (5893)Termination phase: Saturation
% 1.78/1.97
% 1.78/1.97 % (5893)Memory used [KB]: 7036
% 1.78/1.97 % (5893)Time elapsed: 0.109 s
% 1.78/1.97 % (5893)Instructions burned: 345 (million)
% 1.78/1.97 % (5893)------------------------------
% 1.78/1.97 % (5893)------------------------------
% 1.78/1.97 % (5922)Instruction limit reached!
% 1.78/1.97 % (5922)------------------------------
% 1.78/1.97 % (5922)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.97 % (5922)Termination reason: Unknown
% 1.78/1.97 % (5922)Termination phase: Saturation
% 1.78/1.97
% 1.78/1.97 % (5922)Memory used [KB]: 6396
% 1.78/1.97 % (5922)Time elapsed: 0.083 s
% 1.78/1.97 % (5922)Instructions burned: 204 (million)
% 1.78/1.97 % (5922)------------------------------
% 1.78/1.97 % (5922)------------------------------
% 1.78/1.98 % (5947)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_5479 for (2993ds/298Mi)
% 1.78/1.98 % (5948)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_5479 for (2993ds/192Mi)
% 1.78/2.00 % (5946)Instruction limit reached!
% 1.78/2.00 % (5946)------------------------------
% 1.78/2.00 % (5946)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/2.00 % (5946)Termination reason: Unknown
% 1.78/2.00 % (5946)Termination phase: Saturation
% 1.78/2.00
% 1.78/2.00 % (5946)Memory used [KB]: 6268
% 1.78/2.00 % (5946)Time elapsed: 0.061 s
% 1.78/2.00 % (5946)Instructions burned: 135 (million)
% 1.78/2.00 % (5946)------------------------------
% 1.78/2.00 % (5946)------------------------------
% 1.78/2.01 % (5949)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_5479 for (2993ds/258Mi)
% 6.26/2.03 % (5948)Instruction limit reached!
% 6.26/2.03 % (5948)------------------------------
% 6.26/2.03 % (5948)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.26/2.03 % (5948)Termination reason: Unknown
% 6.26/2.03 % (5948)Termination phase: Saturation
% 6.26/2.03
% 6.26/2.03 % (5948)Memory used [KB]: 6268
% 6.26/2.03 % (5948)Time elapsed: 0.053 s
% 6.26/2.03 % (5948)Instructions burned: 194 (million)
% 6.26/2.03 % (5948)------------------------------
% 6.26/2.03 % (5948)------------------------------
% 6.26/2.04 % (5945)Instruction limit reached!
% 6.26/2.04 % (5945)------------------------------
% 6.26/2.04 % (5945)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.26/2.04 % (5945)Termination reason: Unknown
% 6.26/2.04 % (5945)Termination phase: Saturation
% 6.26/2.04
% 6.26/2.04 % (5945)Memory used [KB]: 7675
% 6.26/2.04 % (5945)Time elapsed: 0.098 s
% 6.26/2.04 % (5945)Instructions burned: 287 (million)
% 6.26/2.04 % (5945)------------------------------
% 6.26/2.04 % (5945)------------------------------
% 6.26/2.04 % (5950)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_5479 for (2993ds/90Mi)
% 6.26/2.05 % (5951)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_5479 for (2993ds/231Mi)
% 6.26/2.06 % (5944)Instruction limit reached!
% 6.26/2.06 % (5944)------------------------------
% 6.26/2.06 % (5944)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.26/2.06 % (5944)Termination reason: Unknown
% 6.26/2.06 % (5944)Termination phase: Saturation
% 6.26/2.06
% 6.26/2.06 % (5944)Memory used [KB]: 6780
% 6.26/2.06 % (5944)Time elapsed: 0.127 s
% 6.26/2.06 % (5944)Instructions burned: 339 (million)
% 6.26/2.06 % (5944)------------------------------
% 6.26/2.06 % (5944)------------------------------
% 6.26/2.06 % (5947)Instruction limit reached!
% 6.26/2.06 % (5947)------------------------------
% 6.26/2.06 % (5947)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.26/2.06 % (5947)Termination reason: Unknown
% 6.26/2.06 % (5947)Termination phase: Saturation
% 6.26/2.06
% 6.26/2.06 % (5947)Memory used [KB]: 6652
% 6.26/2.06 % (5947)Time elapsed: 0.088 s
% 6.26/2.06 % (5947)Instructions burned: 299 (million)
% 6.26/2.06 % (5947)------------------------------
% 6.26/2.06 % (5947)------------------------------
% 6.26/2.07 % (5950)Instruction limit reached!
% 6.26/2.07 % (5950)------------------------------
% 6.26/2.07 % (5950)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.26/2.07 % (5950)Termination reason: Unknown
% 6.26/2.07 % (5950)Termination phase: Saturation
% 6.26/2.07
% 6.26/2.07 % (5950)Memory used [KB]: 6012
% 6.26/2.07 % (5950)Time elapsed: 0.030 s
% 6.26/2.07 % (5950)Instructions burned: 93 (million)
% 6.26/2.07 % (5950)------------------------------
% 6.26/2.07 % (5950)------------------------------
% 6.26/2.07 % (5952)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_5479 for (2992ds/458Mi)
% 6.26/2.07 % (5953)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_5479 for (2992ds/31Mi)
% 6.26/2.08 % (5954)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_5479 for (2992ds/297Mi)
% 6.26/2.08 % (5953)Instruction limit reached!
% 6.26/2.08 % (5953)------------------------------
% 6.26/2.08 % (5953)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.26/2.08 % (5953)Termination reason: Unknown
% 6.26/2.08 % (5953)Termination phase: Saturation
% 6.26/2.08
% 6.26/2.08 % (5953)Memory used [KB]: 5756
% 6.26/2.08 % (5953)Time elapsed: 0.011 s
% 6.26/2.08 % (5953)Instructions burned: 31 (million)
% 6.26/2.08 % (5953)------------------------------
% 6.26/2.08 % (5953)------------------------------
% 6.26/2.09 % (5949)Instruction limit reached!
% 6.26/2.09 % (5949)------------------------------
% 6.26/2.09 % (5949)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.26/2.09 % (5949)Termination reason: Unknown
% 6.26/2.09 % (5949)Termination phase: Saturation
% 6.26/2.09
% 6.26/2.09 % (5949)Memory used [KB]: 6396
% 6.26/2.09 % (5949)Time elapsed: 0.079 s
% 6.26/2.09 % (5949)Instructions burned: 259 (million)
% 6.26/2.09 % (5949)------------------------------
% 6.26/2.09 % (5949)------------------------------
% 6.26/2.09 % (5955)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_5479 for (2992ds/987Mi)
% 6.26/2.10 % (5956)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_5479 for (2992ds/182Mi)
% 6.26/2.10 % (5838)Instruction limit reached!
% 6.26/2.10 % (5838)------------------------------
% 6.26/2.10 % (5838)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.26/2.10 % (5838)Termination reason: Unknown
% 6.26/2.10 % (5838)Termination phase: Saturation
% 6.26/2.10
% 6.26/2.10 % (5838)Memory used [KB]: 7803
% 6.26/2.10 % (5838)Time elapsed: 0.343 s
% 6.26/2.10 % (5838)Instructions burned: 1089 (million)
% 6.26/2.10 % (5838)------------------------------
% 6.26/2.10 % (5838)------------------------------
% 6.26/2.11 % (5957)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_5479 for (2992ds/182Mi)
% 6.80/2.12 % (5951)Instruction limit reached!
% 6.80/2.12 % (5951)------------------------------
% 6.80/2.12 % (5951)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.80/2.12 % (5951)Termination reason: Unknown
% 6.80/2.12 % (5951)Termination phase: Saturation
% 6.80/2.12
% 6.80/2.12 % (5951)Memory used [KB]: 6268
% 6.80/2.12 % (5951)Time elapsed: 0.078 s
% 6.80/2.12 % (5951)Instructions burned: 231 (million)
% 6.80/2.12 % (5951)------------------------------
% 6.80/2.12 % (5951)------------------------------
% 6.80/2.13 % (5958)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_5479 for (2992ds/154Mi)
% 6.80/2.15 % (5956)Instruction limit reached!
% 6.80/2.15 % (5956)------------------------------
% 6.80/2.15 % (5956)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.80/2.15 % (5956)Termination reason: Unknown
% 6.80/2.15 % (5956)Termination phase: Saturation
% 6.80/2.15
% 6.80/2.15 % (5956)Memory used [KB]: 6268
% 6.80/2.15 % (5956)Time elapsed: 0.053 s
% 6.80/2.15 % (5956)Instructions burned: 184 (million)
% 6.80/2.15 % (5956)------------------------------
% 6.80/2.15 % (5956)------------------------------
% 6.80/2.15 % (5921)Instruction limit reached!
% 6.80/2.15 % (5921)------------------------------
% 6.80/2.15 % (5921)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.80/2.15 % (5921)Termination reason: Unknown
% 6.80/2.15 % (5921)Termination phase: Saturation
% 6.80/2.15
% 6.80/2.15 % (5921)Memory used [KB]: 7164
% 6.80/2.15 % (5921)Time elapsed: 0.255 s
% 6.80/2.15 % (5921)Instructions burned: 615 (million)
% 6.80/2.15 % (5921)------------------------------
% 6.80/2.15 % (5921)------------------------------
% 6.80/2.16 % (5959)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_5479 for (2992ds/79Mi)
% 6.80/2.16 % (5960)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_5479 for (2992ds/216Mi)
% 6.80/2.16 % (5954)Instruction limit reached!
% 6.80/2.16 % (5954)------------------------------
% 6.80/2.16 % (5954)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.80/2.16 % (5954)Termination reason: Unknown
% 6.80/2.16 % (5954)Termination phase: Saturation
% 6.80/2.16
% 6.80/2.16 % (5954)Memory used [KB]: 6780
% 6.80/2.16 % (5954)Time elapsed: 0.083 s
% 6.80/2.16 % (5954)Instructions burned: 297 (million)
% 6.80/2.16 % (5954)------------------------------
% 6.80/2.16 % (5954)------------------------------
% 6.80/2.16 % (5957)Instruction limit reached!
% 6.80/2.16 % (5957)------------------------------
% 6.80/2.16 % (5957)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.80/2.16 % (5957)Termination reason: Unknown
% 6.80/2.16 % (5957)Termination phase: Saturation
% 6.80/2.16
% 6.80/2.16 % (5957)Memory used [KB]: 6396
% 6.80/2.16 % (5957)Time elapsed: 0.056 s
% 6.80/2.16 % (5957)Instructions burned: 184 (million)
% 6.80/2.16 % (5957)------------------------------
% 6.80/2.16 % (5957)------------------------------
% 6.80/2.17 % (5961)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_5479 for (2991ds/114Mi)
% 6.80/2.17 % (5962)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_5479 for (2991ds/922Mi)
% 6.80/2.18 % (5958)Instruction limit reached!
% 6.80/2.18 % (5958)------------------------------
% 6.80/2.18 % (5958)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.80/2.18 % (5958)Termination reason: Unknown
% 6.80/2.18 % (5958)Termination phase: Saturation
% 6.80/2.18
% 6.80/2.18 % (5958)Memory used [KB]: 6268
% 6.80/2.18 % (5958)Time elapsed: 0.046 s
% 6.80/2.18 % (5958)Instructions burned: 155 (million)
% 6.80/2.18 % (5958)------------------------------
% 6.80/2.18 % (5958)------------------------------
% 6.80/2.18 % (5959)Instruction limit reached!
% 6.80/2.18 % (5959)------------------------------
% 6.80/2.18 % (5959)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.80/2.18 % (5959)Termination reason: Unknown
% 6.80/2.18 % (5959)Termination phase: Saturation
% 6.80/2.18
% 6.80/2.18 % (5959)Memory used [KB]: 6140
% 6.80/2.18 % (5959)Time elapsed: 0.026 s
% 6.80/2.18 % (5959)Instructions burned: 80 (million)
% 6.80/2.18 % (5959)------------------------------
% 6.80/2.18 % (5959)------------------------------
% 6.80/2.19 % (5963)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_5479 for (2991ds/182Mi)
% 6.80/2.19 % (5964)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_5479 for (2991ds/164Mi)
% 7.25/2.20 % (5961)Instruction limit reached!
% 7.25/2.20 % (5961)------------------------------
% 7.25/2.20 % (5961)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.25/2.20 % (5961)Termination reason: Unknown
% 7.25/2.20 % (5961)Termination phase: Saturation
% 7.25/2.20
% 7.25/2.20 % (5961)Memory used [KB]: 6396
% 7.25/2.20 % (5961)Time elapsed: 0.034 s
% 7.25/2.20 % (5961)Instructions burned: 117 (million)
% 7.25/2.20 % (5961)------------------------------
% 7.25/2.20 % (5961)------------------------------
% 7.25/2.21 % (5952)Instruction limit reached!
% 7.25/2.21 % (5952)------------------------------
% 7.25/2.21 % (5952)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.25/2.21 % (5952)Termination reason: Unknown
% 7.25/2.21 % (5952)Termination phase: Saturation
% 7.25/2.21
% 7.25/2.21 % (5952)Memory used [KB]: 7164
% 7.25/2.21 % (5952)Time elapsed: 0.141 s
% 7.25/2.21 % (5952)Instructions burned: 460 (million)
% 7.25/2.21 % (5952)------------------------------
% 7.25/2.21 % (5952)------------------------------
% 7.25/2.21 % (5965)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_5479 for (2991ds/50Mi)
% 7.25/2.22 % (5966)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_5479 for (2991ds/368Mi)
% 7.25/2.22 % (5960)Instruction limit reached!
% 7.25/2.22 % (5960)------------------------------
% 7.25/2.22 % (5960)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.25/2.22 % (5960)Termination reason: Unknown
% 7.25/2.22 % (5960)Termination phase: Saturation
% 7.25/2.22
% 7.25/2.22 % (5960)Memory used [KB]: 6012
% 7.25/2.22 % (5960)Time elapsed: 0.064 s
% 7.25/2.22 % (5960)Instructions burned: 217 (million)
% 7.25/2.22 % (5960)------------------------------
% 7.25/2.22 % (5960)------------------------------
% 7.25/2.23 % (5965)Instruction limit reached!
% 7.25/2.23 % (5965)------------------------------
% 7.25/2.23 % (5965)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.25/2.23 % (5965)Termination reason: Unknown
% 7.25/2.23 % (5965)Termination phase: Saturation
% 7.25/2.23
% 7.25/2.23 % (5965)Memory used [KB]: 10362
% 7.25/2.23 % (5965)Time elapsed: 0.016 s
% 7.25/2.23 % (5965)Instructions burned: 51 (million)
% 7.25/2.23 % (5965)------------------------------
% 7.25/2.23 % (5965)------------------------------
% 7.25/2.23 % (5967)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_5479 for (2991ds/1021Mi)
% 7.25/2.24 % (5968)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_5479 for (2991ds/267Mi)
% 7.25/2.24 % (5963)Instruction limit reached!
% 7.25/2.24 % (5963)------------------------------
% 7.25/2.24 % (5963)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.25/2.24 % (5963)Termination reason: Unknown
% 7.25/2.24 % (5963)Termination phase: Saturation
% 7.25/2.24
% 7.25/2.24 % (5963)Memory used [KB]: 6012
% 7.25/2.24 % (5963)Time elapsed: 0.055 s
% 7.25/2.24 % (5963)Instructions burned: 185 (million)
% 7.25/2.24 % (5963)------------------------------
% 7.25/2.24 % (5963)------------------------------
% 7.25/2.24 % (5964)Instruction limit reached!
% 7.25/2.24 % (5964)------------------------------
% 7.25/2.24 % (5964)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.25/2.24 % (5964)Termination reason: Unknown
% 7.25/2.24 % (5964)Termination phase: Saturation
% 7.25/2.24
% 7.25/2.24 % (5964)Memory used [KB]: 1791
% 7.25/2.24 % (5964)Time elapsed: 0.051 s
% 7.25/2.24 % (5964)Instructions burned: 166 (million)
% 7.25/2.24 % (5964)------------------------------
% 7.25/2.24 % (5964)------------------------------
% 7.25/2.25 % (5969)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_5479 for (2991ds/204Mi)
% 7.25/2.25 % (5970)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_5479 for (2991ds/26Mi)
% 7.25/2.26 % (5970)Instruction limit reached!
% 7.25/2.26 % (5970)------------------------------
% 7.25/2.26 % (5970)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.25/2.26 % (5970)Termination reason: Unknown
% 7.25/2.26 % (5970)Termination phase: Saturation
% 7.25/2.26
% 7.25/2.26 % (5970)Memory used [KB]: 5628
% 7.25/2.26 % (5970)Time elapsed: 0.008 s
% 7.25/2.26 % (5970)Instructions burned: 26 (million)
% 7.25/2.26 % (5970)------------------------------
% 7.25/2.26 % (5970)------------------------------
% 7.25/2.27 % (5971)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_5479 for (2991ds/53Mi)
% 7.25/2.28 % (5971)Instruction limit reached!
% 7.25/2.28 % (5971)------------------------------
% 7.25/2.28 % (5971)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.25/2.28 % (5971)Termination reason: Unknown
% 7.25/2.28 % (5971)Termination phase: Saturation
% 7.25/2.28
% 7.25/2.28 % (5971)Memory used [KB]: 5628
% 7.25/2.28 % (5971)Time elapsed: 0.016 s
% 7.25/2.28 % (5971)Instructions burned: 56 (million)
% 7.25/2.28 % (5971)------------------------------
% 7.25/2.28 % (5971)------------------------------
% 7.25/2.29 % (5972)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_5479 for (2990ds/4436Mi)
% 7.70/2.31 % (5969)Instruction limit reached!
% 7.70/2.31 % (5969)------------------------------
% 7.70/2.31 % (5969)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.70/2.31 % (5969)Termination reason: Unknown
% 7.70/2.31 % (5969)Termination phase: Saturation
% 7.70/2.31
% 7.70/2.31 % (5969)Memory used [KB]: 6396
% 7.70/2.31 % (5969)Time elapsed: 0.064 s
% 7.70/2.31 % (5969)Instructions burned: 205 (million)
% 7.70/2.31 % (5969)------------------------------
% 7.70/2.31 % (5969)------------------------------
% 7.70/2.32 % (5968)Instruction limit reached!
% 7.70/2.32 % (5968)------------------------------
% 7.70/2.32 % (5968)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.70/2.32 % (5968)Termination reason: Unknown
% 7.70/2.32 % (5968)Termination phase: Saturation
% 7.70/2.32
% 7.70/2.32 % (5968)Memory used [KB]: 6652
% 7.70/2.32 % (5968)Time elapsed: 0.078 s
% 7.70/2.32 % (5968)Instructions burned: 267 (million)
% 7.70/2.32 % (5968)------------------------------
% 7.70/2.32 % (5968)------------------------------
% 7.70/2.32 % (5973)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_5479 for (2990ds/1539Mi)
% 7.70/2.32 % (5974)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_5479 for (2990ds/408Mi)
% 7.70/2.33 % (5966)Instruction limit reached!
% 7.70/2.33 % (5966)------------------------------
% 7.70/2.33 % (5966)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.70/2.33 % (5966)Termination reason: Unknown
% 7.70/2.33 % (5966)Termination phase: Saturation
% 7.70/2.33
% 7.70/2.33 % (5966)Memory used [KB]: 6396
% 7.70/2.33 % (5966)Time elapsed: 0.107 s
% 7.70/2.33 % (5966)Instructions burned: 371 (million)
% 7.70/2.33 % (5966)------------------------------
% 7.70/2.33 % (5966)------------------------------
% 7.70/2.34 % (5975)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_5479 for (2990ds/5205Mi)
% 7.70/2.38 % (5955)Instruction limit reached!
% 7.70/2.38 % (5955)------------------------------
% 7.70/2.38 % (5955)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.70/2.38 % (5955)Termination reason: Unknown
% 7.70/2.38 % (5955)Termination phase: Saturation
% 7.70/2.38
% 7.70/2.38 % (5955)Memory used [KB]: 7675
% 7.70/2.38 % (5955)Time elapsed: 0.289 s
% 7.70/2.38 % (5955)Instructions burned: 989 (million)
% 7.70/2.38 % (5955)------------------------------
% 7.70/2.38 % (5955)------------------------------
% 7.70/2.39 % (5976)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_5479 for (2989ds/1913Mi)
% 8.27/2.44 % (5974)Instruction limit reached!
% 8.27/2.44 % (5974)------------------------------
% 8.27/2.44 % (5974)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.27/2.44 % (5974)Termination reason: Unknown
% 8.27/2.44 % (5974)Termination phase: Saturation
% 8.27/2.44
% 8.27/2.44 % (5974)Memory used [KB]: 6268
% 8.27/2.44 % (5974)Time elapsed: 0.113 s
% 8.27/2.44 % (5974)Instructions burned: 408 (million)
% 8.27/2.44 % (5974)------------------------------
% 8.27/2.44 % (5974)------------------------------
% 8.27/2.45 % (5977)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_5479 for (2989ds/4350Mi)
% 8.27/2.45 % (5962)Instruction limit reached!
% 8.27/2.45 % (5962)------------------------------
% 8.27/2.45 % (5962)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.27/2.45 % (5962)Termination reason: Unknown
% 8.27/2.45 % (5962)Termination phase: Saturation
% 8.27/2.45
% 8.27/2.45 % (5962)Memory used [KB]: 8187
% 8.27/2.45 % (5962)Time elapsed: 0.281 s
% 8.27/2.45 % (5962)Instructions burned: 924 (million)
% 8.27/2.45 % (5962)------------------------------
% 8.27/2.45 % (5962)------------------------------
% 8.27/2.46 % (5978)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_5479 for (2989ds/68Mi)
% 8.27/2.48 % (5978)Instruction limit reached!
% 8.27/2.48 % (5978)------------------------------
% 8.27/2.48 % (5978)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.27/2.48 % (5978)Termination reason: Unknown
% 8.27/2.48 % (5978)Termination phase: Saturation
% 8.27/2.48
% 8.27/2.48 % (5978)Memory used [KB]: 6012
% 8.27/2.48 % (5978)Time elapsed: 0.021 s
% 8.27/2.48 % (5978)Instructions burned: 71 (million)
% 8.27/2.48 % (5978)------------------------------
% 8.27/2.48 % (5978)------------------------------
% 8.27/2.49 % (5979)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_5479 for (2988ds/358Mi)
% 8.71/2.53 % (5967)Instruction limit reached!
% 8.71/2.53 % (5967)------------------------------
% 8.71/2.53 % (5967)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.71/2.53 % (5967)Termination reason: Unknown
% 8.71/2.53 % (5967)Termination phase: Saturation
% 8.71/2.53
% 8.71/2.53 % (5967)Memory used [KB]: 6908
% 8.71/2.53 % (5967)Time elapsed: 0.297 s
% 8.71/2.53 % (5967)Instructions burned: 1023 (million)
% 8.71/2.53 % (5967)------------------------------
% 8.71/2.53 % (5967)------------------------------
% 8.71/2.54 % (5980)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_5479 for (2988ds/31Mi)
% 8.71/2.55 % (5980)Instruction limit reached!
% 8.71/2.55 % (5980)------------------------------
% 8.71/2.55 % (5980)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.71/2.55 % (5980)Termination reason: Unknown
% 8.71/2.55 % (5980)Termination phase: Saturation
% 8.71/2.55
% 8.71/2.55 % (5980)Memory used [KB]: 5756
% 8.71/2.55 % (5980)Time elapsed: 0.010 s
% 8.71/2.55 % (5980)Instructions burned: 31 (million)
% 8.71/2.55 % (5980)------------------------------
% 8.71/2.55 % (5980)------------------------------
% 8.71/2.56 % (5981)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_5479 for (2988ds/279Mi)
% 9.04/2.60 % (5979)Instruction limit reached!
% 9.04/2.60 % (5979)------------------------------
% 9.04/2.60 % (5979)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.04/2.60 % (5979)Termination reason: Unknown
% 9.04/2.60 % (5979)Termination phase: Saturation
% 9.04/2.60
% 9.04/2.60 % (5979)Memory used [KB]: 6652
% 9.04/2.60 % (5979)Time elapsed: 0.108 s
% 9.04/2.60 % (5979)Instructions burned: 358 (million)
% 9.04/2.60 % (5979)------------------------------
% 9.04/2.60 % (5979)------------------------------
% 9.04/2.61 % (5982)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_5479 for (2987ds/258Mi)
% 9.04/2.64 % (5981)Instruction limit reached!
% 9.04/2.64 % (5981)------------------------------
% 9.04/2.64 % (5981)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.04/2.64 % (5981)Termination reason: Unknown
% 9.04/2.64 % (5981)Termination phase: Saturation
% 9.04/2.64
% 9.04/2.64 % (5981)Memory used [KB]: 6396
% 9.04/2.64 % (5981)Time elapsed: 0.082 s
% 9.04/2.64 % (5981)Instructions burned: 282 (million)
% 9.04/2.64 % (5981)------------------------------
% 9.04/2.64 % (5981)------------------------------
% 9.04/2.65 % (5983)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_5479 for (2987ds/26Mi)
% 9.04/2.65 % (5983)Instruction limit reached!
% 9.04/2.65 % (5983)------------------------------
% 9.04/2.65 % (5983)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.04/2.65 % (5983)Termination reason: Unknown
% 9.04/2.65 % (5983)Termination phase: Saturation
% 9.04/2.65
% 9.04/2.65 % (5983)Memory used [KB]: 5628
% 9.04/2.65 % (5983)Time elapsed: 0.030 s
% 9.04/2.65 % (5983)Instructions burned: 27 (million)
% 9.04/2.65 % (5983)------------------------------
% 9.04/2.65 % (5983)------------------------------
% 9.04/2.66 % (5984)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_5479 for (2987ds/995Mi)
% 9.04/2.69 % (5982)Instruction limit reached!
% 9.04/2.69 % (5982)------------------------------
% 9.04/2.69 % (5982)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.04/2.69 % (5982)Termination reason: Unknown
% 9.04/2.69 % (5982)Termination phase: Saturation
% 9.04/2.69
% 9.04/2.69 % (5982)Memory used [KB]: 6396
% 9.04/2.69 % (5982)Time elapsed: 0.077 s
% 9.04/2.69 % (5982)Instructions burned: 258 (million)
% 9.04/2.69 % (5982)------------------------------
% 9.04/2.69 % (5982)------------------------------
% 9.04/2.69 % (5985)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_5479 for (2986ds/373Mi)
% 9.35/2.76 % (5973)Instruction limit reached!
% 9.35/2.76 % (5973)------------------------------
% 9.35/2.76 % (5973)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.35/2.76 % (5973)Termination reason: Unknown
% 9.35/2.76 % (5973)Termination phase: Saturation
% 9.35/2.76
% 9.35/2.76 % (5973)Memory used [KB]: 7547
% 9.35/2.76 % (5973)Time elapsed: 0.435 s
% 9.35/2.76 % (5973)Instructions burned: 1540 (million)
% 9.35/2.76 % (5973)------------------------------
% 9.35/2.76 % (5973)------------------------------
% 9.35/2.77 % (5986)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_5479 for (2986ds/253Mi)
% 9.79/2.80 % (5985)Instruction limit reached!
% 9.79/2.80 % (5985)------------------------------
% 9.79/2.80 % (5985)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.79/2.80 % (5985)Termination reason: Unknown
% 9.79/2.80 % (5985)Termination phase: Saturation
% 9.79/2.80
% 9.79/2.80 % (5985)Memory used [KB]: 7036
% 9.79/2.80 % (5985)Time elapsed: 0.131 s
% 9.79/2.80 % (5985)Instructions burned: 374 (million)
% 9.79/2.80 % (5985)------------------------------
% 9.79/2.80 % (5985)------------------------------
% 9.79/2.81 % (5987)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_5479 for (2985ds/832Mi)
% 9.79/2.84 % (5986)Instruction limit reached!
% 9.79/2.84 % (5986)------------------------------
% 9.79/2.84 % (5986)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.79/2.84 % (5986)Termination reason: Unknown
% 9.79/2.84 % (5986)Termination phase: Saturation
% 9.79/2.84
% 9.79/2.84 % (5986)Memory used [KB]: 6524
% 9.79/2.84 % (5986)Time elapsed: 0.100 s
% 9.79/2.84 % (5986)Instructions burned: 255 (million)
% 9.79/2.84 % (5986)------------------------------
% 9.79/2.84 % (5986)------------------------------
% 9.79/2.85 % (5988)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_5479 for (2985ds/668Mi)
% 10.00/2.95 % (5976)Instruction limit reached!
% 10.00/2.95 % (5976)------------------------------
% 10.00/2.95 % (5976)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.00/2.95 % (5976)Termination reason: Unknown
% 10.00/2.95 % (5976)Termination phase: Saturation
% 10.00/2.95
% 10.00/2.95 % (5976)Memory used [KB]: 4733
% 10.00/2.95 % (5976)Time elapsed: 0.559 s
% 10.00/2.95 % (5976)Instructions burned: 1913 (million)
% 10.00/2.95 % (5976)------------------------------
% 10.00/2.95 % (5976)------------------------------
% 10.00/2.95 % (5984)Instruction limit reached!
% 10.00/2.95 % (5984)------------------------------
% 10.00/2.95 % (5984)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.00/2.95 % (5984)Termination reason: Unknown
% 10.00/2.95 % (5984)Termination phase: Saturation
% 10.00/2.95
% 10.00/2.95 % (5984)Memory used [KB]: 7164
% 10.00/2.95 % (5984)Time elapsed: 0.312 s
% 10.00/2.95 % (5984)Instructions burned: 996 (million)
% 10.00/2.95 % (5984)------------------------------
% 10.00/2.95 % (5984)------------------------------
% 10.00/2.96 % (5989)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_5479 for (2984ds/40Mi)
% 10.00/2.96 % (5990)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_5479 for (2983ds/294Mi)
% 10.00/2.97 % (5989)Instruction limit reached!
% 10.00/2.97 % (5989)------------------------------
% 10.00/2.97 % (5989)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.00/2.97 % (5989)Termination reason: Unknown
% 10.00/2.97 % (5989)Termination phase: Saturation
% 10.00/2.97
% 10.00/2.97 % (5989)Memory used [KB]: 5628
% 10.00/2.97 % (5989)Time elapsed: 0.013 s
% 10.00/2.97 % (5989)Instructions burned: 42 (million)
% 10.00/2.97 % (5989)------------------------------
% 10.00/2.97 % (5989)------------------------------
% 10.00/2.98 % (5991)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_5479 for (2983ds/187Mi)
% 13.35/3.03 % (5991)Instruction limit reached!
% 13.35/3.03 % (5991)------------------------------
% 13.35/3.03 % (5991)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.35/3.03 % (5991)Termination reason: Unknown
% 13.35/3.03 % (5991)Termination phase: Saturation
% 13.35/3.03
% 13.35/3.03 % (5991)Memory used [KB]: 6780
% 13.35/3.03 % (5991)Time elapsed: 0.053 s
% 13.35/3.03 % (5991)Instructions burned: 188 (million)
% 13.35/3.03 % (5991)------------------------------
% 13.35/3.03 % (5991)------------------------------
% 13.35/3.04 % (5992)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_5479 for (2983ds/371Mi)
% 13.35/3.04 % (5988)Instruction limit reached!
% 13.35/3.04 % (5988)------------------------------
% 13.35/3.04 % (5988)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.35/3.04 % (5988)Termination reason: Unknown
% 13.35/3.04 % (5988)Termination phase: Saturation
% 13.35/3.04
% 13.35/3.04 % (5988)Memory used [KB]: 11641
% 13.35/3.04 % (5988)Time elapsed: 0.213 s
% 13.35/3.04 % (5988)Instructions burned: 671 (million)
% 13.35/3.04 % (5988)------------------------------
% 13.35/3.04 % (5988)------------------------------
% 13.35/3.04 % (5990)Instruction limit reached!
% 13.35/3.04 % (5990)------------------------------
% 13.35/3.04 % (5990)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.35/3.04 % (5990)Termination reason: Unknown
% 13.35/3.04 % (5990)Termination phase: Saturation
% 13.35/3.04
% 13.35/3.04 % (5990)Memory used [KB]: 6268
% 13.35/3.04 % (5990)Time elapsed: 0.083 s
% 13.35/3.04 % (5990)Instructions burned: 297 (million)
% 13.35/3.04 % (5990)------------------------------
% 13.35/3.04 % (5990)------------------------------
% 13.35/3.05 % (5993)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_5479 for (2983ds/1827Mi)
% 13.35/3.05 % (5994)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_5479 for (2983ds/70Mi)
% 13.35/3.06 % (5987)Instruction limit reached!
% 13.35/3.06 % (5987)------------------------------
% 13.35/3.06 % (5987)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.35/3.06 % (5987)Termination reason: Unknown
% 13.35/3.06 % (5987)Termination phase: Saturation
% 13.35/3.06
% 13.35/3.06 % (5987)Memory used [KB]: 7419
% 13.35/3.06 % (5987)Time elapsed: 0.271 s
% 13.35/3.06 % (5987)Instructions burned: 833 (million)
% 13.35/3.06 % (5987)------------------------------
% 13.35/3.06 % (5987)------------------------------
% 13.35/3.07 % (5995)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_5479 for (2982ds/316Mi)
% 13.35/3.07 % (5994)Instruction limit reached!
% 13.35/3.07 % (5994)------------------------------
% 13.35/3.07 % (5994)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.35/3.07 % (5994)Termination reason: Unknown
% 13.35/3.07 % (5994)Termination phase: Saturation
% 13.35/3.07
% 13.35/3.07 % (5994)Memory used [KB]: 1407
% 13.35/3.07 % (5994)Time elapsed: 0.042 s
% 13.35/3.07 % (5994)Instructions burned: 71 (million)
% 13.35/3.07 % (5994)------------------------------
% 13.35/3.07 % (5994)------------------------------
% 13.35/3.08 % (5996)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_5479 for (2982ds/932Mi)
% 13.84/3.15 % (5992)Instruction limit reached!
% 13.84/3.15 % (5992)------------------------------
% 13.84/3.15 % (5992)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.84/3.15 % (5992)Termination reason: Unknown
% 13.84/3.15 % (5992)Termination phase: Saturation
% 13.84/3.15
% 13.84/3.15 % (5992)Memory used [KB]: 7164
% 13.84/3.15 % (5992)Time elapsed: 0.135 s
% 13.84/3.15 % (5992)Instructions burned: 372 (million)
% 13.84/3.15 % (5992)------------------------------
% 13.84/3.15 % (5992)------------------------------
% 13.84/3.16 % (5995)Instruction limit reached!
% 13.84/3.16 % (5995)------------------------------
% 13.84/3.16 % (5995)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.84/3.16 % (5995)Termination reason: Unknown
% 13.84/3.16 % (5995)Termination phase: Saturation
% 13.84/3.16
% 13.84/3.16 % (5995)Memory used [KB]: 7036
% 13.84/3.16 % (5995)Time elapsed: 0.091 s
% 13.84/3.16 % (5995)Instructions burned: 316 (million)
% 13.84/3.16 % (5995)------------------------------
% 13.84/3.16 % (5995)------------------------------
% 13.84/3.16 % (5997)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_5479 for (2981ds/4714Mi)
% 13.84/3.17 % (5998)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_5479 for (2981ds/8250Mi)
% 14.56/3.34 % (5996)Instruction limit reached!
% 14.56/3.34 % (5996)------------------------------
% 14.56/3.34 % (5996)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.56/3.34 % (5996)Termination reason: Unknown
% 14.56/3.34 % (5996)Termination phase: Saturation
% 14.56/3.34
% 14.56/3.34 % (5996)Memory used [KB]: 10362
% 14.56/3.34 % (5996)Time elapsed: 0.258 s
% 14.56/3.34 % (5996)Instructions burned: 933 (million)
% 14.56/3.34 % (5996)------------------------------
% 14.56/3.34 % (5996)------------------------------
% 14.56/3.35 % (5999)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_5479 for (2980ds/770Mi)
% 15.45/3.57 % (5999)Instruction limit reached!
% 15.45/3.57 % (5999)------------------------------
% 15.45/3.57 % (5999)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.45/3.57 % (5999)Termination reason: Unknown
% 15.45/3.57 % (5999)Termination phase: Saturation
% 15.45/3.57
% 15.45/3.57 % (5999)Memory used [KB]: 7547
% 15.45/3.57 % (5999)Time elapsed: 0.219 s
% 15.45/3.57 % (5999)Instructions burned: 770 (million)
% 15.45/3.57 % (5999)------------------------------
% 15.45/3.57 % (5999)------------------------------
% 15.45/3.58 % (6000)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_5479 for (2977ds/794Mi)
% 15.45/3.59 % (5993)Instruction limit reached!
% 15.45/3.59 % (5993)------------------------------
% 15.45/3.59 % (5993)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.45/3.59 % (5993)Termination reason: Unknown
% 15.45/3.59 % (5993)Termination phase: Saturation
% 15.45/3.59
% 15.45/3.59 % (5993)Memory used [KB]: 8443
% 15.45/3.59 % (5993)Time elapsed: 0.558 s
% 15.45/3.59 % (5993)Instructions burned: 1828 (million)
% 15.45/3.59 % (5993)------------------------------
% 15.45/3.59 % (5993)------------------------------
% 15.45/3.60 % (6001)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_5479 for (2977ds/464Mi)
% 16.51/3.61 % (5972)Instruction limit reached!
% 16.51/3.61 % (5972)------------------------------
% 16.51/3.61 % (5972)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.51/3.61 % (5972)Termination reason: Unknown
% 16.51/3.61 % (5972)Termination phase: Saturation
% 16.51/3.61
% 16.51/3.61 % (5972)Memory used [KB]: 11897
% 16.51/3.61 % (5972)Time elapsed: 1.321 s
% 16.51/3.61 % (5972)Instructions burned: 4437 (million)
% 16.51/3.61 % (5972)------------------------------
% 16.51/3.61 % (5972)------------------------------
% 16.51/3.62 % (6002)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_5479 for (2977ds/1376Mi)
% 16.51/3.63 % (5977)Instruction limit reached!
% 16.51/3.63 % (5977)------------------------------
% 16.51/3.63 % (5977)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.51/3.63 % (5977)Termination reason: Unknown
% 16.51/3.63 % (5977)Termination phase: Saturation
% 16.51/3.63
% 16.51/3.63 % (5977)Memory used [KB]: 10490
% 16.51/3.63 % (5977)Time elapsed: 1.181 s
% 16.51/3.63 % (5977)Instructions burned: 4350 (million)
% 16.51/3.63 % (5977)------------------------------
% 16.51/3.63 % (5977)------------------------------
% 16.51/3.64 % (6003)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_5479 for (2977ds/906Mi)
% 16.68/3.74 % (6001)Instruction limit reached!
% 16.68/3.74 % (6001)------------------------------
% 16.68/3.74 % (6001)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.68/3.74 % (6001)Termination reason: Unknown
% 16.68/3.74 % (6001)Termination phase: Saturation
% 16.68/3.74
% 16.68/3.74 % (6001)Memory used [KB]: 6908
% 16.68/3.74 % (6001)Time elapsed: 0.145 s
% 16.68/3.74 % (6001)Instructions burned: 465 (million)
% 16.68/3.74 % (6001)------------------------------
% 16.68/3.74 % (6001)------------------------------
% 16.68/3.75 % (6004)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_5479 for (2976ds/434Mi)
% 16.95/3.80 % (6000)Instruction limit reached!
% 16.95/3.80 % (6000)------------------------------
% 16.95/3.80 % (6000)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.95/3.80 % (6000)Termination reason: Unknown
% 16.95/3.80 % (6000)Termination phase: Saturation
% 16.95/3.80
% 16.95/3.80 % (6000)Memory used [KB]: 2942
% 16.95/3.80 % (6000)Time elapsed: 0.226 s
% 16.95/3.80 % (6000)Instructions burned: 797 (million)
% 16.95/3.80 % (6000)------------------------------
% 16.95/3.80 % (6000)------------------------------
% 16.95/3.81 % (6005)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_5479 for (2975ds/865Mi)
% 16.95/3.84 % (5975)Instruction limit reached!
% 16.95/3.84 % (5975)------------------------------
% 16.95/3.84 % (5975)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.95/3.84 % (5975)Termination reason: Unknown
% 16.95/3.84 % (5975)Termination phase: Saturation
% 16.95/3.84
% 16.95/3.84 % (5975)Memory used [KB]: 14200
% 16.95/3.84 % (5975)Time elapsed: 1.500 s
% 16.95/3.84 % (5975)Instructions burned: 5207 (million)
% 16.95/3.84 % (5975)------------------------------
% 16.95/3.84 % (5975)------------------------------
% 16.95/3.85 % (6006)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_5479 for (2975ds/593Mi)
% 16.95/3.87 % (6004)Instruction limit reached!
% 16.95/3.87 % (6004)------------------------------
% 16.95/3.87 % (6004)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.95/3.87 % (6004)Termination reason: Unknown
% 16.95/3.87 % (6004)Termination phase: Saturation
% 16.95/3.87
% 16.95/3.87 % (6004)Memory used [KB]: 6524
% 16.95/3.87 % (6004)Time elapsed: 0.123 s
% 16.95/3.87 % (6004)Instructions burned: 436 (million)
% 16.95/3.87 % (6004)------------------------------
% 16.95/3.87 % (6004)------------------------------
% 16.95/3.88 % (6007)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_5479 for (2974ds/443Mi)
% 17.36/3.91 % (6003)Instruction limit reached!
% 17.36/3.91 % (6003)------------------------------
% 17.36/3.91 % (6003)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.36/3.91 % (6003)Termination reason: Unknown
% 17.36/3.91 % (6003)Termination phase: Saturation
% 17.36/3.91
% 17.36/3.91 % (6003)Memory used [KB]: 9466
% 17.36/3.91 % (6003)Time elapsed: 0.270 s
% 17.36/3.91 % (6003)Instructions burned: 906 (million)
% 17.36/3.91 % (6003)------------------------------
% 17.36/3.91 % (6003)------------------------------
% 17.36/3.91 % (6008)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_5479 for (2974ds/594Mi)
% 17.36/4.00 % (6007)Instruction limit reached!
% 17.36/4.00 % (6007)------------------------------
% 17.36/4.00 % (6007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.36/4.00 % (6007)Termination reason: Unknown
% 17.36/4.00 % (6007)Termination phase: Saturation
% 17.36/4.00
% 17.36/4.00 % (6007)Memory used [KB]: 6524
% 17.36/4.00 % (6007)Time elapsed: 0.125 s
% 17.36/4.00 % (6007)Instructions burned: 443 (million)
% 17.36/4.00 % (6007)------------------------------
% 17.36/4.00 % (6007)------------------------------
% 17.36/4.01 % (6006)Instruction limit reached!
% 17.36/4.01 % (6006)------------------------------
% 17.36/4.01 % (6006)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.36/4.01 % (6006)Termination reason: Unknown
% 17.36/4.01 % (6006)Termination phase: Saturation
% 17.36/4.01
% 17.36/4.01 % (6006)Memory used [KB]: 6652
% 17.36/4.01 % (6006)Time elapsed: 0.162 s
% 17.36/4.01 % (6006)Instructions burned: 594 (million)
% 17.36/4.01 % (6006)------------------------------
% 17.36/4.01 % (6006)------------------------------
% 17.36/4.01 % (6002)Instruction limit reached!
% 17.36/4.01 % (6002)------------------------------
% 17.36/4.01 % (6002)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.36/4.01 % (6002)Termination reason: Unknown
% 17.36/4.01 % (6002)Termination phase: Saturation
% 17.36/4.01
% 17.36/4.01 % (6002)Memory used [KB]: 12153
% 17.36/4.01 % (6002)Time elapsed: 0.387 s
% 17.36/4.01 % (6002)Instructions burned: 1379 (million)
% 17.36/4.01 % (6002)------------------------------
% 17.36/4.01 % (6002)------------------------------
% 17.36/4.01 % (6009)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_5479 for (2973ds/327Mi)
% 17.36/4.02 % (6010)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_5479 for (2973ds/5411Mi)
% 17.36/4.02 % (6011)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_5479 for (2973ds/1762Mi)
% 20.38/4.07 % (6005)Instruction limit reached!
% 20.38/4.07 % (6005)------------------------------
% 20.38/4.07 % (6005)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.38/4.07 % (6005)Termination reason: Unknown
% 20.38/4.07 % (6005)Termination phase: Saturation
% 20.38/4.07
% 20.38/4.07 % (6005)Memory used [KB]: 8315
% 20.38/4.07 % (6005)Time elapsed: 0.257 s
% 20.38/4.07 % (6005)Instructions burned: 866 (million)
% 20.38/4.07 % (6005)------------------------------
% 20.38/4.07 % (6005)------------------------------
% 20.38/4.08 % (6012)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_5479 for (2972ds/96Mi)
% 20.38/4.08 % (6008)Instruction limit reached!
% 20.38/4.08 % (6008)------------------------------
% 20.38/4.08 % (6008)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.38/4.08 % (6008)Termination reason: Unknown
% 20.38/4.08 % (6008)Termination phase: Saturation
% 20.38/4.08
% 20.38/4.08 % (6008)Memory used [KB]: 6780
% 20.38/4.08 % (6008)Time elapsed: 0.170 s
% 20.38/4.08 % (6008)Instructions burned: 595 (million)
% 20.38/4.08 % (6008)------------------------------
% 20.38/4.08 % (6008)------------------------------
% 20.38/4.09 % (6013)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_5479 for (2972ds/503Mi)
% 20.38/4.10 % (6009)Instruction limit reached!
% 20.38/4.10 % (6009)------------------------------
% 20.38/4.10 % (6009)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.38/4.10 % (6009)Termination reason: Unknown
% 20.38/4.10 % (6009)Termination phase: Saturation
% 20.38/4.10
% 20.38/4.10 % (6009)Memory used [KB]: 6908
% 20.38/4.10 % (6009)Time elapsed: 0.088 s
% 20.38/4.10 % (6009)Instructions burned: 328 (million)
% 20.38/4.10 % (6009)------------------------------
% 20.38/4.10 % (6009)------------------------------
% 20.38/4.11 % (6012)Instruction limit reached!
% 20.38/4.11 % (6012)------------------------------
% 20.38/4.11 % (6012)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.38/4.11 % (6012)Termination reason: Unknown
% 20.38/4.11 % (6012)Termination phase: Saturation
% 20.38/4.11
% 20.38/4.11 % (6012)Memory used [KB]: 5884
% 20.38/4.11 % (6012)Time elapsed: 0.031 s
% 20.38/4.11 % (6012)Instructions burned: 99 (million)
% 20.38/4.11 % (6012)------------------------------
% 20.38/4.11 % (6012)------------------------------
% 20.38/4.11 % (6014)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_5479 for (2972ds/90Mi)
% 20.38/4.12 % (6015)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_5479 for (2972ds/593Mi)
% 20.85/4.14 % (6014)Instruction limit reached!
% 20.85/4.14 % (6014)------------------------------
% 20.85/4.14 % (6014)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.85/4.14 % (6014)Termination reason: Unknown
% 20.85/4.14 % (6014)Termination phase: Saturation
% 20.85/4.14
% 20.85/4.14 % (6014)Memory used [KB]: 6012
% 20.85/4.14 % (6014)Time elapsed: 0.049 s
% 20.85/4.14 % (6014)Instructions burned: 91 (million)
% 20.85/4.14 % (6014)------------------------------
% 20.85/4.14 % (6014)------------------------------
% 20.85/4.15 % (6016)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_5479 for (2972ds/1512Mi)
% 21.02/4.24 % (6013)Instruction limit reached!
% 21.02/4.24 % (6013)------------------------------
% 21.02/4.24 % (6013)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.02/4.24 % (6013)Termination reason: Unknown
% 21.02/4.24 % (6013)Termination phase: Saturation
% 21.02/4.24
% 21.02/4.24 % (6013)Memory used [KB]: 7036
% 21.02/4.24 % (6013)Time elapsed: 0.143 s
% 21.02/4.24 % (6013)Instructions burned: 503 (million)
% 21.02/4.24 % (6013)------------------------------
% 21.02/4.24 % (6013)------------------------------
% 21.02/4.24 % (6017)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_5479 for (2971ds/569Mi)
% 21.02/4.29 % (6015)Instruction limit reached!
% 21.02/4.29 % (6015)------------------------------
% 21.02/4.29 % (6015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.02/4.29 % (6015)Termination reason: Unknown
% 21.02/4.29 % (6015)Termination phase: Saturation
% 21.02/4.29
% 21.02/4.29 % (6015)Memory used [KB]: 7419
% 21.02/4.29 % (6015)Time elapsed: 0.195 s
% 21.02/4.29 % (6015)Instructions burned: 593 (million)
% 21.02/4.29 % (6015)------------------------------
% 21.02/4.29 % (6015)------------------------------
% 21.55/4.30 % (6018)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_5479 for (2970ds/501Mi)
% 21.75/4.40 % (6017)Instruction limit reached!
% 21.75/4.40 % (6017)------------------------------
% 21.75/4.40 % (6017)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.75/4.40 % (6017)Termination reason: Unknown
% 21.75/4.40 % (6017)Termination phase: Saturation
% 21.75/4.40
% 21.75/4.40 % (6017)Memory used [KB]: 6268
% 21.75/4.40 % (6017)Time elapsed: 0.182 s
% 21.75/4.40 % (6017)Instructions burned: 571 (million)
% 21.75/4.40 % (6017)------------------------------
% 21.75/4.40 % (6017)------------------------------
% 21.75/4.41 % (6019)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_5479 for (2969ds/562Mi)
% 21.75/4.44 % (6018)Instruction limit reached!
% 21.75/4.44 % (6018)------------------------------
% 21.75/4.44 % (6018)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.75/4.44 % (6018)Termination reason: Unknown
% 21.75/4.44 % (6018)Termination phase: Saturation
% 21.75/4.44
% 21.75/4.44 % (6018)Memory used [KB]: 6908
% 21.75/4.44 % (6018)Time elapsed: 0.138 s
% 21.75/4.44 % (6018)Instructions burned: 503 (million)
% 21.75/4.44 % (6018)------------------------------
% 21.75/4.44 % (6018)------------------------------
% 21.75/4.44 % (6020)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_5479 for (2969ds/406Mi)
% 21.75/4.47 % (6010)First to succeed.
% 21.75/4.48 % (6010)Refutation found. Thanks to Tanya!
% 21.75/4.48 % SZS status Theorem for DTF2THF_5479
% 21.75/4.48 % SZS output start Proof for DTF2THF_5479
% 21.75/4.48 thf(type_def_5, type, a: $tType).
% 21.75/4.48 thf(func_def_0, type, a: $tType).
% 21.75/4.48 thf(func_def_1, type, z: a).
% 21.75/4.48 thf(func_def_2, type, y: a).
% 21.75/4.48 thf(func_def_3, type, cP: a > a > a).
% 21.75/4.48 thf(func_def_4, type, w: a).
% 21.75/4.48 thf(func_def_5, type, x: a).
% 21.75/4.48 thf(func_def_6, type, c0: a).
% 21.75/4.48 thf(func_def_10, type, sP0: a > a > a > (a > a > a > $o) > $o).
% 21.75/4.48 thf(func_def_11, type, sP1: a > a > a > (a > a > a > $o) > $o).
% 21.75/4.48 thf(func_def_12, type, sK2: a > a > a > (a > a > a > $o) > a).
% 21.75/4.48 thf(func_def_13, type, sK3: a > a > a > (a > a > a > $o) > a).
% 21.75/4.48 thf(func_def_14, type, sK4: a > a > a > (a > a > a > $o) > a).
% 21.75/4.48 thf(func_def_15, type, sK5: a > a > a > (a > a > a > $o) > a).
% 21.75/4.48 thf(func_def_16, type, sK6: a > a > a > (a > a > a > $o) > a).
% 21.75/4.48 thf(func_def_17, type, sK7: a > a > a > (a > a > a > $o) > a).
% 21.75/4.48 thf(func_def_18, type, sK8: a > a > a > (a > a > a > $o) > a).
% 21.75/4.48 thf(func_def_19, type, sK9: a > a > a > (a > a > a > $o) > a).
% 21.75/4.48 thf(func_def_20, type, sK10: a > a > a > (a > a > a > $o) > a).
% 21.75/4.48 thf(func_def_21, type, sK11: a > a > a > (a > a > a > $o) > a).
% 21.75/4.48 thf(func_def_22, type, sK12: a > a > a > (a > a > a > $o) > a).
% 21.75/4.48 thf(func_def_23, type, sK13: a > a > a > (a > a > a > $o) > a).
% 21.75/4.48 thf(func_def_24, type, sK14: (a > a > a > $o) > a).
% 21.75/4.48 thf(func_def_25, type, sK15: (a > a > a > $o) > a).
% 21.75/4.48 thf(func_def_26, type, sK16: (a > a > a > $o) > a).
% 21.75/4.48 thf(func_def_27, type, sK17: (a > a > a > $o) > a).
% 21.75/4.48 thf(func_def_28, type, sK18: (a > a > a > $o) > a).
% 21.75/4.48 thf(func_def_29, type, sK19: (a > a > a > $o) > a).
% 21.75/4.48 thf(func_def_30, type, sK20: a > a > a > $o).
% 21.75/4.48 thf(func_def_32, type, ph22: !>[X0: $tType]:(X0)).
% 21.75/4.48 thf(f1931,plain,(
% 21.75/4.48 $false),
% 21.75/4.48 inference(avatar_sat_refutation,[status(thm)],[f208,f1473,f1475,f1477,f1479,f1643,f1659,f1661,f1679,f1722,f1745,f1771,f1909,f1930])).
% 21.75/4.48 thf(f1930,plain,(
% 21.75/4.48 spl21_11 | ~spl21_22 | ~spl21_25),
% 21.75/4.48 inference(avatar_contradiction_clause,[status(thm)],[f1929])).
% 21.75/4.48 thf(f1929,plain,(
% 21.75/4.48 $false | (spl21_11 | ~spl21_22 | ~spl21_25)),
% 21.75/4.48 inference(subsumption_resolution,[status(thm)],[f1928,f50])).
% 21.75/4.48 thf(f50,plain,(
% 21.75/4.48 ( ! [X10 : a] : (($true = (sK20 @ c0 @ X10 @ X10))) )),
% 21.75/4.48 inference(equality_resolution,[status(thm)],[f49])).
% 21.75/4.48 thf(f49,plain,(
% 21.75/4.48 ( ! [X10 : a,X9 : a] : ((X9 != X10) | ($true = (sK20 @ c0 @ X10 @ X9))) )),
% 21.75/4.48 inference(equality_resolution,[status(thm)],[f38])).
% 21.75/4.48 thf(f38,plain,(
% 21.75/4.48 ( ! [X10 : a,X11 : a,X9 : a] : ((c0 != X11) | (X9 != X10) | ($true = (sK20 @ X11 @ X10 @ X9))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f24])).
% 21.75/4.48 thf(f24,plain,(
% 21.75/4.48 ! [X0 : a > a > a > $o] : (((((c0 = (sK14 @ X0)) & ((sK16 @ X0) = (sK15 @ X0))) | (((sK15 @ X0) = (sK14 @ X0)) & (c0 = (sK16 @ X0))) | ($true = (sP1 @ (sK16 @ X0) @ (sK15 @ X0) @ (sK14 @ X0) @ X0))) & ($true != (X0 @ (sK14 @ X0) @ (sK16 @ X0) @ (sK15 @ X0)))) | ((X0 @ w @ z @ z) = $true)) & ! [X4 : a > a > a > $o] : (($true = (X4 @ x @ y @ y)) | ((($true = (sP0 @ (sK18 @ X4) @ (sK17 @ X4) @ (sK19 @ X4) @ X4)) | (((sK19 @ X4) = (sK17 @ X4)) & (c0 = (sK18 @ X4))) | (((sK18 @ X4) = (sK19 @ X4)) & (c0 = (sK17 @ X4)))) & ($true != (X4 @ (sK18 @ X4) @ (sK17 @ X4) @ (sK19 @ X4))))) & (! [X9 : a,X10 : a,X11 : a] : ((((c0 != X11) | (X9 != X10)) & ! [X12 : a,X13 : a,X14 : a,X15 : a,X16 : a,X17 : a] : (($true != (sK20 @ X17 @ X13 @ X12)) | ((cP @ X14 @ X12) != X9) | ((cP @ X16 @ X13) != X10) | ((cP @ X15 @ X17) != X11) | ($true != (sK20 @ X15 @ X16 @ X14))) & ((X9 != X11) | (c0 != X10))) | ($true = (sK20 @ X11 @ X10 @ X9))) & ($true != (sK20 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z))))),
% 21.75/4.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18,sK19,sK20])],[f20,f23,f22,f21])).
% 21.75/4.48 thf(f21,plain,(
% 21.75/4.48 ! [X0 : a > a > a > $o] : (? [X1 : a,X2 : a,X3 : a] : ((((c0 = X1) & (X2 = X3)) | ((X1 = X2) & (c0 = X3)) | ($true = (sP1 @ X3 @ X2 @ X1 @ X0))) & ($true != (X0 @ X1 @ X3 @ X2))) => ((((c0 = (sK14 @ X0)) & ((sK16 @ X0) = (sK15 @ X0))) | (((sK15 @ X0) = (sK14 @ X0)) & (c0 = (sK16 @ X0))) | ($true = (sP1 @ (sK16 @ X0) @ (sK15 @ X0) @ (sK14 @ X0) @ X0))) & ($true != (X0 @ (sK14 @ X0) @ (sK16 @ X0) @ (sK15 @ X0)))))),
% 21.75/4.48 introduced(definition,[],[choice_axiom])).
% 21.75/4.48 thf(f22,plain,(
% 21.75/4.48 ! [X4 : a > a > a > $o] : (? [X5 : a,X6 : a,X7 : a] : ((($true = (sP0 @ X6 @ X5 @ X7 @ X4)) | ((X5 = X7) & (c0 = X6)) | ((X6 = X7) & (c0 = X5))) & ($true != (X4 @ X6 @ X5 @ X7))) => ((($true = (sP0 @ (sK18 @ X4) @ (sK17 @ X4) @ (sK19 @ X4) @ X4)) | (((sK19 @ X4) = (sK17 @ X4)) & (c0 = (sK18 @ X4))) | (((sK18 @ X4) = (sK19 @ X4)) & (c0 = (sK17 @ X4)))) & ($true != (X4 @ (sK18 @ X4) @ (sK17 @ X4) @ (sK19 @ X4)))))),
% 21.75/4.48 introduced(definition,[],[choice_axiom])).
% 21.75/4.48 thf(f23,plain,(
% 21.75/4.48 ? [X8 : a > a > a > $o] : (! [X9 : a,X10 : a,X11 : a] : ((((c0 != X11) | (X9 != X10)) & ! [X12 : a,X13 : a,X14 : a,X15 : a,X16 : a,X17 : a] : (((X8 @ X17 @ X13 @ X12) != $true) | ((cP @ X14 @ X12) != X9) | ((cP @ X16 @ X13) != X10) | ((cP @ X15 @ X17) != X11) | ($true != (X8 @ X15 @ X16 @ X14))) & ((X9 != X11) | (c0 != X10))) | ($true = (X8 @ X11 @ X10 @ X9))) & ($true != (X8 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z)))) => (! [X11 : a,X10 : a,X9 : a] : ((((c0 != X11) | (X9 != X10)) & ! [X17 : a,X16 : a,X15 : a,X14 : a,X13 : a,X12 : a] : (($true != (sK20 @ X17 @ X13 @ X12)) | ((cP @ X14 @ X12) != X9) | ((cP @ X16 @ X13) != X10) | ((cP @ X15 @ X17) != X11) | ($true != (sK20 @ X15 @ X16 @ X14))) & ((X9 != X11) | (c0 != X10))) | ($true = (sK20 @ X11 @ X10 @ X9))) & ($true != (sK20 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z))))),
% 21.75/4.48 introduced(definition,[],[choice_axiom])).
% 21.75/4.48 thf(f20,plain,(
% 21.75/4.48 ! [X0 : a > a > a > $o] : (? [X1 : a,X2 : a,X3 : a] : ((((c0 = X1) & (X2 = X3)) | ((X1 = X2) & (c0 = X3)) | ($true = (sP1 @ X3 @ X2 @ X1 @ X0))) & ($true != (X0 @ X1 @ X3 @ X2))) | ((X0 @ w @ z @ z) = $true)) & ! [X4 : a > a > a > $o] : (($true = (X4 @ x @ y @ y)) | ? [X5 : a,X6 : a,X7 : a] : ((($true = (sP0 @ X6 @ X5 @ X7 @ X4)) | ((X5 = X7) & (c0 = X6)) | ((X6 = X7) & (c0 = X5))) & ($true != (X4 @ X6 @ X5 @ X7)))) & ? [X8 : a > a > a > $o] : (! [X9 : a,X10 : a,X11 : a] : ((((c0 != X11) | (X9 != X10)) & ! [X12 : a,X13 : a,X14 : a,X15 : a,X16 : a,X17 : a] : (((X8 @ X17 @ X13 @ X12) != $true) | ((cP @ X14 @ X12) != X9) | ((cP @ X16 @ X13) != X10) | ((cP @ X15 @ X17) != X11) | ($true != (X8 @ X15 @ X16 @ X14))) & ((X9 != X11) | (c0 != X10))) | ($true = (X8 @ X11 @ X10 @ X9))) & ($true != (X8 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z))))),
% 21.75/4.48 inference(rectify,[status(thm)],[f11])).
% 21.75/4.48 thf(f11,plain,(
% 21.75/4.48 ! [X0 : a > a > a > $o] : (? [X2 : a,X3 : a,X1 : a] : ((((c0 = X2) & (X1 = X3)) | ((X2 = X3) & (c0 = X1)) | ($true = (sP1 @ X1 @ X3 @ X2 @ X0))) & ($true != (X0 @ X2 @ X1 @ X3))) | ((X0 @ w @ z @ z) = $true)) & ! [X10 : a > a > a > $o] : (($true = (X10 @ x @ y @ y)) | ? [X11 : a,X13 : a,X12 : a] : ((($true = (sP0 @ X13 @ X11 @ X12 @ X10)) | ((X11 = X12) & (c0 = X13)) | ((X12 = X13) & (c0 = X11))) & ($true != (X10 @ X13 @ X11 @ X12)))) & ? [X20 : a > a > a > $o] : (! [X22 : a,X23 : a,X21 : a] : ((((c0 != X21) | (X22 != X23)) & ! [X29 : a,X24 : a,X26 : a,X25 : a,X27 : a,X28 : a] : (($true != (X20 @ X28 @ X24 @ X29)) | ((cP @ X26 @ X29) != X22) | ((cP @ X27 @ X24) != X23) | ((cP @ X25 @ X28) != X21) | ($true != (X20 @ X25 @ X27 @ X26))) & ((X21 != X22) | (c0 != X23))) | ($true = (X20 @ X21 @ X23 @ X22))) & ($true != (X20 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z))))),
% 21.75/4.48 inference(definition_folding,[status(thm)],[f8,f10,f9])).
% 21.75/4.48 thf(f9,plain,(
% 21.75/4.48 ! [X10 : a > a > a > $o,X12 : a,X11 : a,X13 : a] : (? [X19 : a,X15 : a,X17 : a,X16 : a,X18 : a,X14 : a] : (($true = (X10 @ X16 @ X18 @ X19)) & ((cP @ X15 @ X19) = X12) & ($true = (X10 @ X17 @ X14 @ X15)) & ((cP @ X14 @ X18) = X11) & ((cP @ X17 @ X16) = X13)) | ~($true = (sP0 @ X13 @ X11 @ X12 @ X10)))),
% 21.75/4.48 introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 21.75/4.48 thf(f10,plain,(
% 21.75/4.48 ! [X0 : a > a > a > $o,X2 : a,X3 : a,X1 : a] : (? [X9 : a,X6 : a,X5 : a,X8 : a,X7 : a,X4 : a] : (($true = (X0 @ X9 @ X5 @ X8)) & ((cP @ X9 @ X4) = X2) & ((cP @ X8 @ X6) = X3) & ($true = (X0 @ X4 @ X7 @ X6)) & ((cP @ X5 @ X7) = X1)) | ~($true = (sP1 @ X1 @ X3 @ X2 @ X0)))),
% 21.75/4.48 introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 21.75/4.48 thf(f8,plain,(
% 21.75/4.48 ! [X0 : a > a > a > $o] : (? [X2 : a,X3 : a,X1 : a] : ((((c0 = X2) & (X1 = X3)) | ((X2 = X3) & (c0 = X1)) | ? [X9 : a,X6 : a,X5 : a,X8 : a,X7 : a,X4 : a] : (($true = (X0 @ X9 @ X5 @ X8)) & ((cP @ X9 @ X4) = X2) & ((cP @ X8 @ X6) = X3) & ($true = (X0 @ X4 @ X7 @ X6)) & ((cP @ X5 @ X7) = X1))) & ($true != (X0 @ X2 @ X1 @ X3))) | ((X0 @ w @ z @ z) = $true)) & ! [X10 : a > a > a > $o] : (($true = (X10 @ x @ y @ y)) | ? [X11 : a,X13 : a,X12 : a] : ((? [X19 : a,X15 : a,X17 : a,X16 : a,X18 : a,X14 : a] : (($true = (X10 @ X16 @ X18 @ X19)) & ((cP @ X15 @ X19) = X12) & ($true = (X10 @ X17 @ X14 @ X15)) & ((cP @ X14 @ X18) = X11) & ((cP @ X17 @ X16) = X13)) | ((X11 = X12) & (c0 = X13)) | ((X12 = X13) & (c0 = X11))) & ($true != (X10 @ X13 @ X11 @ X12)))) & ? [X20 : a > a > a > $o] : (! [X22 : a,X23 : a,X21 : a] : ((((c0 != X21) | (X22 != X23)) & ! [X29 : a,X24 : a,X26 : a,X25 : a,X27 : a,X28 : a] : (($true != (X20 @ X28 @ X24 @ X29)) | ((cP @ X26 @ X29) != X22) | ((cP @ X27 @ X24) != X23) | ((cP @ X25 @ X28) != X21) | ($true != (X20 @ X25 @ X27 @ X26))) & ((X21 != X22) | (c0 != X23))) | ($true = (X20 @ X21 @ X23 @ X22))) & ($true != (X20 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z))))),
% 21.75/4.48 inference(flattening,[status(thm)],[f7])).
% 21.75/4.48 thf(f7,plain,(
% 21.75/4.48 ? [X20 : a > a > a > $o] : (! [X22 : a,X23 : a,X21 : a] : ((((c0 != X21) | (X22 != X23)) & ! [X29 : a,X24 : a,X26 : a,X25 : a,X27 : a,X28 : a] : (($true != (X20 @ X28 @ X24 @ X29)) | ((cP @ X26 @ X29) != X22) | ((cP @ X27 @ X24) != X23) | ((cP @ X25 @ X28) != X21) | ($true != (X20 @ X25 @ X27 @ X26))) & ((X21 != X22) | (c0 != X23))) | ($true = (X20 @ X21 @ X23 @ X22))) & ($true != (X20 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z)))) & (! [X0 : a > a > a > $o] : (? [X2 : a,X3 : a,X1 : a] : ((((c0 = X2) & (X1 = X3)) | ((X2 = X3) & (c0 = X1)) | ? [X9 : a,X6 : a,X5 : a,X8 : a,X7 : a,X4 : a] : (($true = (X0 @ X9 @ X5 @ X8)) & ((cP @ X9 @ X4) = X2) & ((cP @ X8 @ X6) = X3) & ($true = (X0 @ X4 @ X7 @ X6)) & ((cP @ X5 @ X7) = X1))) & ($true != (X0 @ X2 @ X1 @ X3))) | ((X0 @ w @ z @ z) = $true)) & ! [X10 : a > a > a > $o] : (($true = (X10 @ x @ y @ y)) | ? [X11 : a,X13 : a,X12 : a] : ((? [X19 : a,X15 : a,X17 : a,X16 : a,X18 : a,X14 : a] : (($true = (X10 @ X16 @ X18 @ X19)) & ((cP @ X15 @ X19) = X12) & ($true = (X10 @ X17 @ X14 @ X15)) & ((cP @ X14 @ X18) = X11) & ((cP @ X17 @ X16) = X13)) | ((X11 = X12) & (c0 = X13)) | ((X12 = X13) & (c0 = X11))) & ($true != (X10 @ X13 @ X11 @ X12)))))),
% 21.75/4.48 inference(ennf_transformation,[status(thm)],[f6])).
% 21.75/4.48 thf(f6,plain,(
% 21.75/4.48 ~((! [X0 : a > a > a > $o] : (! [X3 : a,X1 : a,X2 : a] : ((((c0 = X2) & (X1 = X3)) | ((X2 = X3) & (c0 = X1)) | ? [X9 : a,X6 : a,X5 : a,X8 : a,X7 : a,X4 : a] : (($true = (X0 @ X9 @ X5 @ X8)) & ((cP @ X9 @ X4) = X2) & ((cP @ X8 @ X6) = X3) & ($true = (X0 @ X4 @ X7 @ X6)) & ((cP @ X5 @ X7) = X1))) => ($true = (X0 @ X2 @ X1 @ X3))) => ((X0 @ w @ z @ z) = $true)) & ! [X10 : a > a > a > $o] : (! [X13 : a,X12 : a,X11 : a] : ((? [X19 : a,X15 : a,X17 : a,X16 : a,X18 : a,X14 : a] : (($true = (X10 @ X16 @ X18 @ X19)) & ((cP @ X15 @ X19) = X12) & ($true = (X10 @ X17 @ X14 @ X15)) & ((cP @ X14 @ X18) = X11) & ((cP @ X17 @ X16) = X13)) | ((X11 = X12) & (c0 = X13)) | ((X12 = X13) & (c0 = X11))) => ($true = (X10 @ X13 @ X11 @ X12))) => ($true = (X10 @ x @ y @ y)))) => ! [X20 : a > a > a > $o] : (! [X21 : a,X22 : a,X23 : a] : ((? [X28 : a,X25 : a,X26 : a,X24 : a,X27 : a,X29 : a] : (((cP @ X26 @ X29) = X22) & ($true = (X20 @ X25 @ X27 @ X26)) & ((cP @ X27 @ X24) = X23) & ($true = (X20 @ X28 @ X24 @ X29)) & ((cP @ X25 @ X28) = X21)) | ((c0 = X23) & (X21 = X22)) | ((X22 = X23) & (c0 = X21))) => ($true = (X20 @ X21 @ X23 @ X22))) => ($true = (X20 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z)))))),
% 21.75/4.48 inference(true_and_false_elimination,[status(thm)],[f5])).
% 21.75/4.48 thf(f5,plain,(
% 21.75/4.48 ~((! [X0 : a > a > a > $o] : ((! [X3 : a,X1 : a,X2 : a] : ((((c0 = X2) & (X1 = X3)) | ((X2 = X3) & (c0 = X1)) | ? [X9 : a,X6 : a,X5 : a,X8 : a,X7 : a,X4 : a] : (($true = (X0 @ X9 @ X5 @ X8)) & ((cP @ X9 @ X4) = X2) & ((cP @ X8 @ X6) = X3) & ($true = (X0 @ X4 @ X7 @ X6)) & ((cP @ X5 @ X7) = X1))) => ($true = (X0 @ X2 @ X1 @ X3))) & $true) => ((X0 @ w @ z @ z) = $true)) & ! [X10 : a > a > a > $o] : (($true & ! [X13 : a,X12 : a,X11 : a] : ((? [X19 : a,X15 : a,X17 : a,X16 : a,X18 : a,X14 : a] : (($true = (X10 @ X16 @ X18 @ X19)) & ((cP @ X15 @ X19) = X12) & ($true = (X10 @ X17 @ X14 @ X15)) & ((cP @ X14 @ X18) = X11) & ((cP @ X17 @ X16) = X13)) | ((X11 = X12) & (c0 = X13)) | ((X12 = X13) & (c0 = X11))) => ($true = (X10 @ X13 @ X11 @ X12)))) => ($true = (X10 @ x @ y @ y)))) => ! [X20 : a > a > a > $o] : ((! [X21 : a,X22 : a,X23 : a] : ((? [X28 : a,X25 : a,X26 : a,X24 : a,X27 : a,X29 : a] : (((cP @ X26 @ X29) = X22) & ($true = (X20 @ X25 @ X27 @ X26)) & ((cP @ X27 @ X24) = X23) & ($true = (X20 @ X28 @ X24 @ X29)) & ((cP @ X25 @ X28) = X21)) | ((c0 = X23) & (X21 = X22)) | ((X22 = X23) & (c0 = X21))) => ($true = (X20 @ X21 @ X23 @ X22))) & $true) => ($true = (X20 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z)))))),
% 21.75/4.48 inference(fool_elimination,[status(thm)],[f4])).
% 21.75/4.48 thf(f4,plain,(
% 21.75/4.48 ~((! [X0 : a > a > a > $o] : ((! [X1 : a,X2 : a,X3 : a] : ((? [X4 : a,X5 : a,X6 : a,X7 : a,X8 : a,X9 : a] : ((X0 @ X9 @ X5 @ X8) & (X0 @ X4 @ X7 @ X6) & ((cP @ X8 @ X6) = X3) & ((cP @ X9 @ X4) = X2) & ((cP @ X5 @ X7) = X1)) | ((X1 = X3) & (c0 = X2)) | ((X2 = X3) & (c0 = X1))) => (X0 @ X2 @ X1 @ X3)) & $true) => (X0 @ w @ z @ z)) & ! [X10 : a > a > a > $o] : (($true & ! [X11 : a,X12 : a,X13 : a] : ((((c0 = X13) & (X11 = X12)) | ? [X14 : a,X15 : a,X16 : a,X17 : a,X18 : a,X19 : a] : ((X10 @ X16 @ X18 @ X19) & (X10 @ X17 @ X14 @ X15) & ((cP @ X17 @ X16) = X13) & ((cP @ X15 @ X19) = X12) & ((cP @ X14 @ X18) = X11)) | ((X12 = X13) & (c0 = X11))) => (X10 @ X13 @ X11 @ X12))) => (X10 @ x @ y @ y))) => ! [X20 : a > a > a > $o] : ((! [X21 : a,X22 : a,X23 : a] : ((? [X24 : a,X25 : a,X26 : a,X27 : a,X28 : a,X29 : a] : (((cP @ X27 @ X24) = X23) & (X20 @ X28 @ X24 @ X29) & ((cP @ X26 @ X29) = X22) & ((cP @ X25 @ X28) = X21) & (X20 @ X25 @ X27 @ X26)) | ((X21 = X22) & (c0 = X23)) | ((c0 = X21) & (X22 = X23))) => (X20 @ X21 @ X23 @ X22)) & $true) => (X20 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z))))),
% 21.75/4.48 inference(rectify,[status(thm)],[f2])).
% 21.75/4.48 thf(f2,negated_conjecture,(
% 21.75/4.48 ~((! [X0 : a > a > a > $o] : ((! [X2 : a,X1 : a,X3 : a] : ((? [X5 : a,X6 : a,X9 : a,X7 : a,X8 : a,X4 : a] : ((X0 @ X4 @ X6 @ X8) & (X0 @ X5 @ X7 @ X9) & ((cP @ X8 @ X9) = X3) & ((cP @ X4 @ X5) = X1) & ((cP @ X6 @ X7) = X2)) | ((X2 = X3) & (c0 = X1)) | ((X1 = X3) & (c0 = X2))) => (X0 @ X1 @ X2 @ X3)) & $true) => (X0 @ w @ z @ z)) & ! [X0 : a > a > a > $o] : (($true & ! [X2 : a,X3 : a,X1 : a] : ((((c0 = X1) & (X2 = X3)) | ? [X6 : a,X8 : a,X5 : a,X4 : a,X7 : a,X9 : a] : ((X0 @ X5 @ X7 @ X9) & (X0 @ X4 @ X6 @ X8) & ((cP @ X4 @ X5) = X1) & ((cP @ X8 @ X9) = X3) & ((cP @ X6 @ X7) = X2)) | ((X1 = X3) & (c0 = X2))) => (X0 @ X1 @ X2 @ X3))) => (X0 @ x @ y @ y))) => ! [X0 : a > a > a > $o] : ((! [X1 : a,X3 : a,X2 : a] : ((? [X7 : a,X4 : a,X8 : a,X6 : a,X5 : a,X9 : a] : (((cP @ X6 @ X7) = X2) & (X0 @ X5 @ X7 @ X9) & ((cP @ X8 @ X9) = X3) & ((cP @ X4 @ X5) = X1) & (X0 @ X4 @ X6 @ X8)) | ((X1 = X3) & (c0 = X2)) | ((c0 = X1) & (X2 = X3))) => (X0 @ X1 @ X2 @ X3)) & $true) => (X0 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z))))),
% 21.75/4.48 inference(negated_conjecture,[status(cth)],[f1])).
% 21.75/4.48 thf(f1,conjecture,(
% 21.75/4.48 (! [X0 : a > a > a > $o] : ((! [X2 : a,X1 : a,X3 : a] : ((? [X5 : a,X6 : a,X9 : a,X7 : a,X8 : a,X4 : a] : ((X0 @ X4 @ X6 @ X8) & (X0 @ X5 @ X7 @ X9) & ((cP @ X8 @ X9) = X3) & ((cP @ X4 @ X5) = X1) & ((cP @ X6 @ X7) = X2)) | ((X2 = X3) & (c0 = X1)) | ((X1 = X3) & (c0 = X2))) => (X0 @ X1 @ X2 @ X3)) & $true) => (X0 @ w @ z @ z)) & ! [X0 : a > a > a > $o] : (($true & ! [X2 : a,X3 : a,X1 : a] : ((((c0 = X1) & (X2 = X3)) | ? [X6 : a,X8 : a,X5 : a,X4 : a,X7 : a,X9 : a] : ((X0 @ X5 @ X7 @ X9) & (X0 @ X4 @ X6 @ X8) & ((cP @ X4 @ X5) = X1) & ((cP @ X8 @ X9) = X3) & ((cP @ X6 @ X7) = X2)) | ((X1 = X3) & (c0 = X2))) => (X0 @ X1 @ X2 @ X3))) => (X0 @ x @ y @ y))) => ! [X0 : a > a > a > $o] : ((! [X1 : a,X3 : a,X2 : a] : ((? [X7 : a,X4 : a,X8 : a,X6 : a,X5 : a,X9 : a] : (((cP @ X6 @ X7) = X2) & (X0 @ X5 @ X7 @ X9) & ((cP @ X8 @ X9) = X3) & ((cP @ X4 @ X5) = X1) & (X0 @ X4 @ X6 @ X8)) | ((X1 = X3) & (c0 = X2)) | ((c0 = X1) & (X2 = X3))) => (X0 @ X1 @ X2 @ X3)) & $true) => (X0 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z)))),
% 21.75/4.48 file('/export/starexec/sandbox2/tmp/tmp.tBHMbtBaIJ/DTF2THF_5479.p',cS_INCL_LEM1_pme)).
% 21.75/4.48 thf(f1928,plain,(
% 21.75/4.48 ($true != (sK20 @ c0 @ (sK15 @ sK20) @ (sK15 @ sK20))) | (spl21_11 | ~spl21_22 | ~spl21_25)),
% 21.75/4.48 inference(forward_demodulation,[status(thm)],[f1927,f1468])).
% 21.75/4.48 thf(f1468,plain,(
% 21.75/4.48 ((sK15 @ sK20) = (sK16 @ sK20)) | ~spl21_25),
% 21.75/4.48 inference(avatar_component_clause,[status(thm)],[f1466])).
% 21.75/4.48 thf(f1466,definition,(
% 21.75/4.48 spl21_25 <=> ((sK15 @ sK20) = (sK16 @ sK20))),
% 21.75/4.48 introduced(definition,[new_symbols(naming,[spl21_25])],[avatar_definition])).
% 21.75/4.48 thf(f1927,plain,(
% 21.75/4.48 ($true != (sK20 @ c0 @ (sK16 @ sK20) @ (sK15 @ sK20))) | (spl21_11 | ~spl21_22)),
% 21.75/4.48 inference(subsumption_resolution,[status(thm)],[f1911,f203])).
% 21.75/4.48 thf(f203,plain,(
% 21.75/4.48 ((sK20 @ w @ z @ z) != $true) | spl21_11),
% 21.75/4.48 inference(avatar_component_clause,[status(thm)],[f201])).
% 21.75/4.48 thf(f201,definition,(
% 21.75/4.48 spl21_11 <=> ((sK20 @ w @ z @ z) = $true)),
% 21.75/4.48 introduced(definition,[new_symbols(naming,[spl21_11])],[avatar_definition])).
% 21.75/4.48 thf(f1911,plain,(
% 21.75/4.48 ((sK20 @ w @ z @ z) = $true) | ($true != (sK20 @ c0 @ (sK16 @ sK20) @ (sK15 @ sK20))) | ~spl21_22),
% 21.75/4.48 inference(superposition,[status(thm)],[f44,f1452])).
% 21.75/4.48 thf(f1452,plain,(
% 21.75/4.48 (c0 = (sK14 @ sK20)) | ~spl21_22),
% 21.75/4.48 inference(avatar_component_clause,[status(thm)],[f1450])).
% 21.75/4.48 thf(f1450,definition,(
% 21.75/4.48 spl21_22 <=> (c0 = (sK14 @ sK20))),
% 21.75/4.48 introduced(definition,[new_symbols(naming,[spl21_22])],[avatar_definition])).
% 21.75/4.48 thf(f44,plain,(
% 21.75/4.48 ( ! [X0 : a > a > a > $o] : (($true != (X0 @ (sK14 @ X0) @ (sK16 @ X0) @ (sK15 @ X0))) | ((X0 @ w @ z @ z) = $true)) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f24])).
% 21.75/4.48 thf(f1909,plain,(
% 21.75/4.48 spl21_12 | ~spl21_26 | ~spl21_30),
% 21.75/4.48 inference(avatar_contradiction_clause,[status(thm)],[f1908])).
% 21.75/4.48 thf(f1908,plain,(
% 21.75/4.48 $false | (spl21_12 | ~spl21_26 | ~spl21_30)),
% 21.75/4.48 inference(subsumption_resolution,[status(thm)],[f1907,f50])).
% 21.75/4.48 thf(f1907,plain,(
% 21.75/4.48 ($true != (sK20 @ c0 @ (sK17 @ sK20) @ (sK17 @ sK20))) | (spl21_12 | ~spl21_26 | ~spl21_30)),
% 21.75/4.48 inference(forward_demodulation,[status(thm)],[f1906,f1652])).
% 21.75/4.48 thf(f1652,plain,(
% 21.75/4.48 (c0 = (sK18 @ sK20)) | ~spl21_30),
% 21.75/4.48 inference(avatar_component_clause,[status(thm)],[f1650])).
% 21.75/4.48 thf(f1650,definition,(
% 21.75/4.48 spl21_30 <=> (c0 = (sK18 @ sK20))),
% 21.75/4.48 introduced(definition,[new_symbols(naming,[spl21_30])],[avatar_definition])).
% 21.75/4.48 thf(f1906,plain,(
% 21.75/4.48 ($true != (sK20 @ (sK18 @ sK20) @ (sK17 @ sK20) @ (sK17 @ sK20))) | (spl21_12 | ~spl21_26)),
% 21.75/4.48 inference(subsumption_resolution,[status(thm)],[f1890,f207])).
% 21.75/4.48 thf(f207,plain,(
% 21.75/4.48 ($true != (sK20 @ x @ y @ y)) | spl21_12),
% 21.75/4.48 inference(avatar_component_clause,[status(thm)],[f205])).
% 21.75/4.48 thf(f205,definition,(
% 21.75/4.48 spl21_12 <=> ($true = (sK20 @ x @ y @ y))),
% 21.75/4.48 introduced(definition,[new_symbols(naming,[spl21_12])],[avatar_definition])).
% 21.75/4.48 thf(f1890,plain,(
% 21.75/4.48 ($true = (sK20 @ x @ y @ y)) | ($true != (sK20 @ (sK18 @ sK20) @ (sK17 @ sK20) @ (sK17 @ sK20))) | ~spl21_26),
% 21.75/4.48 inference(superposition,[status(thm)],[f39,f1634])).
% 21.75/4.48 thf(f1634,plain,(
% 21.75/4.48 ((sK17 @ sK20) = (sK19 @ sK20)) | ~spl21_26),
% 21.75/4.48 inference(avatar_component_clause,[status(thm)],[f1632])).
% 21.75/4.48 thf(f1632,definition,(
% 21.75/4.48 spl21_26 <=> ((sK17 @ sK20) = (sK19 @ sK20))),
% 21.75/4.48 introduced(definition,[new_symbols(naming,[spl21_26])],[avatar_definition])).
% 21.75/4.48 thf(f39,plain,(
% 21.75/4.48 ( ! [X4 : a > a > a > $o] : (($true != (X4 @ (sK18 @ X4) @ (sK17 @ X4) @ (sK19 @ X4))) | ($true = (X4 @ x @ y @ y))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f24])).
% 21.75/4.48 thf(f1771,plain,(
% 21.75/4.48 spl21_30 | spl21_12 | spl21_28 | ~spl21_29),
% 21.75/4.48 inference(avatar_split_clause,[status(thm)],[f1770,f1646,f1640,f205,f1650])).
% 21.75/4.48 thf(f1640,definition,(
% 21.75/4.48 spl21_28 <=> ((sK18 @ sK20) = (sK19 @ sK20))),
% 21.75/4.48 introduced(definition,[new_symbols(naming,[spl21_28])],[avatar_definition])).
% 21.75/4.48 thf(f1646,definition,(
% 21.75/4.48 spl21_29 <=> (c0 = (sK17 @ sK20))),
% 21.75/4.48 introduced(definition,[new_symbols(naming,[spl21_29])],[avatar_definition])).
% 21.75/4.48 thf(f1770,plain,(
% 21.75/4.48 (c0 = (sK18 @ sK20)) | (spl21_12 | spl21_28 | ~spl21_29)),
% 21.75/4.48 inference(trivial_inequality_removal,[status(thm)],[f1769])).
% 21.75/4.48 thf(f1769,plain,(
% 21.75/4.48 ($true = $false) | (c0 = (sK18 @ sK20)) | (spl21_12 | spl21_28 | ~spl21_29)),
% 21.75/4.48 inference(forward_demodulation,[status(thm)],[f1733,f1717])).
% 21.75/4.48 thf(f1717,plain,(
% 21.75/4.48 ($false = (sK20 @ (sK18 @ sK20) @ c0 @ (sK19 @ sK20))) | (spl21_12 | ~spl21_29)),
% 21.75/4.48 inference(subsumption_resolution,[status(thm)],[f1708,f207])).
% 21.75/4.48 thf(f1708,plain,(
% 21.75/4.48 ($false = (sK20 @ (sK18 @ sK20) @ c0 @ (sK19 @ sK20))) | ($true = (sK20 @ x @ y @ y)) | ~spl21_29),
% 21.75/4.48 inference(superposition,[status(thm)],[f321,f1648])).
% 21.75/4.48 thf(f1648,plain,(
% 21.75/4.48 (c0 = (sK17 @ sK20)) | ~spl21_29),
% 21.75/4.48 inference(avatar_component_clause,[status(thm)],[f1646])).
% 21.75/4.48 thf(f321,plain,(
% 21.75/4.48 ( ! [X10 : a > a > a > $o] : (($false = (X10 @ (sK18 @ X10) @ (sK17 @ X10) @ (sK19 @ X10))) | ($true = (X10 @ x @ y @ y))) )),
% 21.75/4.48 inference(not_proxy_clausification,[status(thm)],[f320])).
% 21.75/4.48 thf(f320,plain,(
% 21.75/4.48 ( ! [X10 : a > a > a > $o] : (($true = (~ (X10 @ (sK18 @ X10) @ (sK17 @ X10) @ (sK19 @ X10)))) | ($true = (X10 @ x @ y @ y))) )),
% 21.75/4.48 inference(not_proxy_clausification,[status(thm)],[f319])).
% 21.75/4.48 thf(f319,plain,(
% 21.75/4.48 ( ! [X10 : a > a > a > $o] : (($false = (~ (X10 @ x @ y @ y))) | ($true = (~ (X10 @ (sK18 @ X10) @ (sK17 @ X10) @ (sK19 @ X10))))) )),
% 21.75/4.48 inference(beta_eta_normalization,[status(thm)],[f318])).
% 21.75/4.48 thf(f318,plain,(
% 21.75/4.48 ( ! [X10 : a > a > a > $o] : (($true = (~ (X10 @ (sK18 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (X10 @ Y0 @ Y1 @ Y2))))))) @ (sK17 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (X10 @ Y0 @ Y1 @ Y2))))))) @ (sK19 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (X10 @ Y0 @ Y1 @ Y2)))))))))) | ($false = (~ (X10 @ x @ y @ y)))) )),
% 21.75/4.48 inference(boolean_simplification,[status(thm)],[f317])).
% 21.75/4.48 thf(f317,plain,(
% 21.75/4.48 ( ! [X10 : a > a > a > $o] : (($false = (~ (X10 @ x @ y @ y))) | ($true = (~ (X10 @ (sK18 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ (~ (X10 @ Y0 @ Y1 @ Y2))))))))) @ (sK17 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ (~ (X10 @ Y0 @ Y1 @ Y2))))))))) @ (sK19 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ (~ (X10 @ Y0 @ Y1 @ Y2))))))))))))) )),
% 21.75/4.48 inference(beta_eta_normalization,[status(thm)],[f309])).
% 21.75/4.48 thf(f309,plain,(
% 21.75/4.48 ( ! [X10 : a > a > a > $o] : (($true = ((^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ (X10 @ Y0 @ Y1 @ Y2))))))) @ (sK18 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ ((^[Y3 : a]: ((^[Y4 : a]: ((^[Y5 : a]: (~ (X10 @ Y3 @ Y4 @ Y5))))))) @ Y0 @ Y1 @ Y2)))))))) @ (sK17 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ ((^[Y3 : a]: ((^[Y4 : a]: ((^[Y5 : a]: (~ (X10 @ Y3 @ Y4 @ Y5))))))) @ Y0 @ Y1 @ Y2)))))))) @ (sK19 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ ((^[Y3 : a]: ((^[Y4 : a]: ((^[Y5 : a]: (~ (X10 @ Y3 @ Y4 @ Y5))))))) @ Y0 @ Y1 @ Y2)))))))))) | ($false = ((^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ (X10 @ Y0 @ Y1 @ Y2))))))) @ x @ y @ y))) )),
% 21.75/4.48 inference(primitive_instantiation,[status(thm)],[f81])).
% 21.75/4.48 thf(f81,plain,(
% 21.75/4.48 ( ! [X7 : a > a > a > $o] : (($true = (X7 @ (sK18 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ (X7 @ Y0 @ Y1 @ Y2)))))))) @ (sK17 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ (X7 @ Y0 @ Y1 @ Y2)))))))) @ (sK19 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ (X7 @ Y0 @ Y1 @ Y2)))))))))) | ((X7 @ x @ y @ y) = $false)) )),
% 21.75/4.48 inference(not_proxy_clausification,[status(thm)],[f80])).
% 21.75/4.48 thf(f80,plain,(
% 21.75/4.48 ( ! [X7 : a > a > a > $o] : (($true != (~ (X7 @ (sK18 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ (X7 @ Y0 @ Y1 @ Y2)))))))) @ (sK17 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ (X7 @ Y0 @ Y1 @ Y2)))))))) @ (sK19 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ (X7 @ Y0 @ Y1 @ Y2))))))))))) | ((X7 @ x @ y @ y) = $false)) )),
% 21.75/4.48 inference(not_proxy_clausification,[status(thm)],[f79])).
% 21.75/4.48 thf(f79,plain,(
% 21.75/4.48 ( ! [X7 : a > a > a > $o] : (($true = (~ (X7 @ x @ y @ y))) | ($true != (~ (X7 @ (sK18 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ (X7 @ Y0 @ Y1 @ Y2)))))))) @ (sK17 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ (X7 @ Y0 @ Y1 @ Y2)))))))) @ (sK19 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ (X7 @ Y0 @ Y1 @ Y2)))))))))))) )),
% 21.75/4.48 inference(beta_eta_normalization,[status(thm)],[f64])).
% 21.75/4.48 thf(f64,plain,(
% 21.75/4.48 ( ! [X7 : a > a > a > $o] : (($true != ((^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ (X7 @ Y0 @ Y1 @ Y2))))))) @ (sK18 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ (X7 @ Y0 @ Y1 @ Y2)))))))) @ (sK17 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ (X7 @ Y0 @ Y1 @ Y2)))))))) @ (sK19 @ (^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ (X7 @ Y0 @ Y1 @ Y2)))))))))) | ($true = ((^[Y0 : a]: ((^[Y1 : a]: ((^[Y2 : a]: (~ (X7 @ Y0 @ Y1 @ Y2))))))) @ x @ y @ y))) )),
% 21.75/4.48 inference(primitive_instantiation,[status(thm)],[f39])).
% 21.75/4.48 thf(f1733,plain,(
% 21.75/4.48 ($true = (sK20 @ (sK18 @ sK20) @ c0 @ (sK19 @ sK20))) | (c0 = (sK18 @ sK20)) | (spl21_12 | spl21_28 | ~spl21_29)),
% 21.75/4.48 inference(forward_demodulation,[status(thm)],[f1732,f1648])).
% 21.75/4.48 thf(f1732,plain,(
% 21.75/4.48 ($true = (sK20 @ (sK18 @ sK20) @ (sK17 @ sK20) @ (sK19 @ sK20))) | (c0 = (sK18 @ sK20)) | (spl21_12 | spl21_28)),
% 21.75/4.48 inference(subsumption_resolution,[status(thm)],[f1731,f1641])).
% 21.75/4.48 thf(f1641,plain,(
% 21.75/4.48 ((sK18 @ sK20) != (sK19 @ sK20)) | spl21_28),
% 21.75/4.48 inference(avatar_component_clause,[status(thm)],[f1640])).
% 21.75/4.48 thf(f1731,plain,(
% 21.75/4.48 ($true = (sK20 @ (sK18 @ sK20) @ (sK17 @ sK20) @ (sK19 @ sK20))) | ((sK18 @ sK20) = (sK19 @ sK20)) | (c0 = (sK18 @ sK20)) | spl21_12),
% 21.75/4.48 inference(subsumption_resolution,[status(thm)],[f1626,f207])).
% 21.75/4.48 thf(f1626,plain,(
% 21.75/4.48 (c0 = (sK18 @ sK20)) | ($true = (sK20 @ (sK18 @ sK20) @ (sK17 @ sK20) @ (sK19 @ sK20))) | ((sK18 @ sK20) = (sK19 @ sK20)) | ($true = (sK20 @ x @ y @ y))),
% 21.75/4.48 inference(trivial_inequality_removal,[status(thm)],[f1624])).
% 21.75/4.48 thf(f1624,plain,(
% 21.75/4.48 ($true = (sK20 @ x @ y @ y)) | ((sK18 @ sK20) = (sK19 @ sK20)) | ($true = (sK20 @ (sK18 @ sK20) @ (sK17 @ sK20) @ (sK19 @ sK20))) | (c0 = (sK18 @ sK20)) | ($true != $true)),
% 21.75/4.48 inference(superposition,[status(thm)],[f1589,f41])).
% 21.75/4.48 thf(f41,plain,(
% 21.75/4.48 ( ! [X4 : a > a > a > $o] : (($true = (sP0 @ (sK18 @ X4) @ (sK17 @ X4) @ (sK19 @ X4) @ X4)) | ((sK18 @ X4) = (sK19 @ X4)) | (c0 = (sK18 @ X4)) | ($true = (X4 @ x @ y @ y))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f24])).
% 21.75/4.48 thf(f1589,plain,(
% 21.75/4.48 ( ! [X2 : a,X0 : a,X1 : a] : (($true != (sP0 @ X0 @ X1 @ X2 @ sK20)) | ((sK20 @ X0 @ X1 @ X2) = $true)) )),
% 21.75/4.48 inference(duplicate_literal_removal,[status(thm)],[f1558])).
% 21.75/4.48 thf(f1558,plain,(
% 21.75/4.48 ( ! [X2 : a,X0 : a,X1 : a] : (($true != (sP0 @ X0 @ X1 @ X2 @ sK20)) | ((sK20 @ X0 @ X1 @ X2) = $true) | ($true != (sP0 @ X0 @ X1 @ X2 @ sK20))) )),
% 21.75/4.48 inference(superposition,[status(thm)],[f1227,f30])).
% 21.75/4.48 thf(f30,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a,X0 : a > a > a > $o,X1 : a] : (((cP @ (sK10 @ X3 @ X2 @ X1 @ X0) @ (sK11 @ X3 @ X2 @ X1 @ X0)) = X3) | ($true != (sP0 @ X3 @ X2 @ X1 @ X0))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f19])).
% 21.75/4.48 thf(f19,plain,(
% 21.75/4.48 ! [X0 : a > a > a > $o,X1 : a,X2 : a,X3 : a] : ((($true = (X0 @ (sK11 @ X3 @ X2 @ X1 @ X0) @ (sK12 @ X3 @ X2 @ X1 @ X0) @ (sK8 @ X3 @ X2 @ X1 @ X0))) & ((cP @ (sK9 @ X3 @ X2 @ X1 @ X0) @ (sK8 @ X3 @ X2 @ X1 @ X0)) = X1) & ($true = (X0 @ (sK10 @ X3 @ X2 @ X1 @ X0) @ (sK13 @ X3 @ X2 @ X1 @ X0) @ (sK9 @ X3 @ X2 @ X1 @ X0))) & ((cP @ (sK13 @ X3 @ X2 @ X1 @ X0) @ (sK12 @ X3 @ X2 @ X1 @ X0)) = X2) & ((cP @ (sK10 @ X3 @ X2 @ X1 @ X0) @ (sK11 @ X3 @ X2 @ X1 @ X0)) = X3)) | ($true != (sP0 @ X3 @ X2 @ X1 @ X0)))),
% 21.75/4.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12,sK13])],[f17,f18])).
% 21.75/4.48 thf(f18,plain,(
% 21.75/4.48 ! [X0 : a > a > a > $o,X1 : a,X2 : a,X3 : a] : (? [X4 : a,X5 : a,X6 : a,X7 : a,X8 : a,X9 : a] : (($true = (X0 @ X7 @ X8 @ X4)) & ((cP @ X5 @ X4) = X1) & ($true = (X0 @ X6 @ X9 @ X5)) & ((cP @ X9 @ X8) = X2) & ((cP @ X6 @ X7) = X3)) => (($true = (X0 @ (sK11 @ X3 @ X2 @ X1 @ X0) @ (sK12 @ X3 @ X2 @ X1 @ X0) @ (sK8 @ X3 @ X2 @ X1 @ X0))) & ((cP @ (sK9 @ X3 @ X2 @ X1 @ X0) @ (sK8 @ X3 @ X2 @ X1 @ X0)) = X1) & ($true = (X0 @ (sK10 @ X3 @ X2 @ X1 @ X0) @ (sK13 @ X3 @ X2 @ X1 @ X0) @ (sK9 @ X3 @ X2 @ X1 @ X0))) & ((cP @ (sK13 @ X3 @ X2 @ X1 @ X0) @ (sK12 @ X3 @ X2 @ X1 @ X0)) = X2) & ((cP @ (sK10 @ X3 @ X2 @ X1 @ X0) @ (sK11 @ X3 @ X2 @ X1 @ X0)) = X3)))),
% 21.75/4.48 introduced(definition,[],[choice_axiom])).
% 21.75/4.48 thf(f17,plain,(
% 21.75/4.48 ! [X0 : a > a > a > $o,X1 : a,X2 : a,X3 : a] : (? [X4 : a,X5 : a,X6 : a,X7 : a,X8 : a,X9 : a] : (($true = (X0 @ X7 @ X8 @ X4)) & ((cP @ X5 @ X4) = X1) & ($true = (X0 @ X6 @ X9 @ X5)) & ((cP @ X9 @ X8) = X2) & ((cP @ X6 @ X7) = X3)) | ($true != (sP0 @ X3 @ X2 @ X1 @ X0)))),
% 21.75/4.48 inference(rectify,[status(thm)],[f16])).
% 21.75/4.48 thf(f16,plain,(
% 21.75/4.48 ! [X10 : a > a > a > $o,X12 : a,X11 : a,X13 : a] : (? [X19 : a,X15 : a,X17 : a,X16 : a,X18 : a,X14 : a] : (($true = (X10 @ X16 @ X18 @ X19)) & ((cP @ X15 @ X19) = X12) & ($true = (X10 @ X17 @ X14 @ X15)) & ((cP @ X14 @ X18) = X11) & ((cP @ X17 @ X16) = X13)) | ($true != (sP0 @ X13 @ X11 @ X12 @ X10)))),
% 21.75/4.48 inference(nnf_transformation,[status(thm)],[f9])).
% 21.75/4.48 thf(f1227,plain,(
% 21.75/4.48 ( ! [X2 : a,X0 : a,X1 : a] : (($true = (sK20 @ (cP @ (sK10 @ X0 @ X1 @ X2 @ sK20) @ (sK11 @ X0 @ X1 @ X2 @ sK20)) @ X1 @ X2)) | ($true != (sP0 @ X0 @ X1 @ X2 @ sK20))) )),
% 21.75/4.48 inference(trivial_inequality_removal,[status(thm)],[f1226])).
% 21.75/4.48 thf(f1226,plain,(
% 21.75/4.48 ( ! [X2 : a,X0 : a,X1 : a] : (($true != (sP0 @ X0 @ X1 @ X2 @ sK20)) | ($true != $true) | ($true = (sK20 @ (cP @ (sK10 @ X0 @ X1 @ X2 @ sK20) @ (sK11 @ X0 @ X1 @ X2 @ sK20)) @ X1 @ X2))) )),
% 21.75/4.48 inference(duplicate_literal_removal,[status(thm)],[f1225])).
% 21.75/4.48 thf(f1225,plain,(
% 21.75/4.48 ( ! [X2 : a,X0 : a,X1 : a] : (($true != $true) | ($true = (sK20 @ (cP @ (sK10 @ X0 @ X1 @ X2 @ sK20) @ (sK11 @ X0 @ X1 @ X2 @ sK20)) @ X1 @ X2)) | ($true != (sP0 @ X0 @ X1 @ X2 @ sK20)) | ($true != (sP0 @ X0 @ X1 @ X2 @ sK20))) )),
% 21.75/4.48 inference(superposition,[status(thm)],[f1051,f32])).
% 21.75/4.48 thf(f32,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a,X0 : a > a > a > $o,X1 : a] : (($true = (X0 @ (sK10 @ X3 @ X2 @ X1 @ X0) @ (sK13 @ X3 @ X2 @ X1 @ X0) @ (sK9 @ X3 @ X2 @ X1 @ X0))) | ($true != (sP0 @ X3 @ X2 @ X1 @ X0))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f19])).
% 21.75/4.48 thf(f1051,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (($true != (sK20 @ X3 @ (sK13 @ X0 @ X1 @ X2 @ sK20) @ (sK9 @ X0 @ X1 @ X2 @ sK20))) | ($true = (sK20 @ (cP @ X3 @ (sK11 @ X0 @ X1 @ X2 @ sK20)) @ X1 @ X2)) | ($true != (sP0 @ X0 @ X1 @ X2 @ sK20))) )),
% 21.75/4.48 inference(duplicate_literal_removal,[status(thm)],[f1038])).
% 21.75/4.48 thf(f1038,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (($true != (sP0 @ X0 @ X1 @ X2 @ sK20)) | ($true = (sK20 @ (cP @ X3 @ (sK11 @ X0 @ X1 @ X2 @ sK20)) @ X1 @ X2)) | ($true != (sK20 @ X3 @ (sK13 @ X0 @ X1 @ X2 @ sK20) @ (sK9 @ X0 @ X1 @ X2 @ sK20))) | ($true != (sP0 @ X0 @ X1 @ X2 @ sK20))) )),
% 21.75/4.48 inference(superposition,[status(thm)],[f544,f31])).
% 21.75/4.48 thf(f31,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a,X0 : a > a > a > $o,X1 : a] : (((cP @ (sK13 @ X3 @ X2 @ X1 @ X0) @ (sK12 @ X3 @ X2 @ X1 @ X0)) = X2) | ($true != (sP0 @ X3 @ X2 @ X1 @ X0))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f19])).
% 21.75/4.48 thf(f544,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a,X0 : a,X1 : a,X4 : a] : (($true = (sK20 @ (cP @ X3 @ (sK11 @ X0 @ X1 @ X2 @ sK20)) @ (cP @ X4 @ (sK12 @ X0 @ X1 @ X2 @ sK20)) @ X2)) | ($true != (sK20 @ X3 @ X4 @ (sK9 @ X0 @ X1 @ X2 @ sK20))) | ($true != (sP0 @ X0 @ X1 @ X2 @ sK20))) )),
% 21.75/4.48 inference(trivial_inequality_removal,[status(thm)],[f543])).
% 21.75/4.48 thf(f543,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a,X0 : a,X1 : a,X4 : a] : (($true != (sK20 @ X3 @ X4 @ (sK9 @ X0 @ X1 @ X2 @ sK20))) | ($true != (sP0 @ X0 @ X1 @ X2 @ sK20)) | ($true = (sK20 @ (cP @ X3 @ (sK11 @ X0 @ X1 @ X2 @ sK20)) @ (cP @ X4 @ (sK12 @ X0 @ X1 @ X2 @ sK20)) @ X2)) | ($true != $true)) )),
% 21.75/4.48 inference(duplicate_literal_removal,[status(thm)],[f540])).
% 21.75/4.48 thf(f540,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a,X0 : a,X1 : a,X4 : a] : (($true != (sP0 @ X0 @ X1 @ X2 @ sK20)) | ($true != (sK20 @ X3 @ X4 @ (sK9 @ X0 @ X1 @ X2 @ sK20))) | ($true != (sP0 @ X0 @ X1 @ X2 @ sK20)) | ($true != $true) | ($true = (sK20 @ (cP @ X3 @ (sK11 @ X0 @ X1 @ X2 @ sK20)) @ (cP @ X4 @ (sK12 @ X0 @ X1 @ X2 @ sK20)) @ X2))) )),
% 21.75/4.48 inference(superposition,[status(thm)],[f183,f34])).
% 21.75/4.48 thf(f34,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a,X0 : a > a > a > $o,X1 : a] : (($true = (X0 @ (sK11 @ X3 @ X2 @ X1 @ X0) @ (sK12 @ X3 @ X2 @ X1 @ X0) @ (sK8 @ X3 @ X2 @ X1 @ X0))) | ($true != (sP0 @ X3 @ X2 @ X1 @ X0))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f19])).
% 21.75/4.48 thf(f183,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a > a > a > $o,X0 : a,X1 : a,X6 : a,X7 : a,X4 : a,X5 : a] : (($true != (sK20 @ X5 @ X7 @ (sK8 @ X0 @ X1 @ X2 @ X3))) | ($true != (sP0 @ X0 @ X1 @ X2 @ X3)) | ($true != (sK20 @ X4 @ X6 @ (sK9 @ X0 @ X1 @ X2 @ X3))) | ($true = (sK20 @ (cP @ X4 @ X5) @ (cP @ X6 @ X7) @ X2))) )),
% 21.75/4.48 inference(superposition,[status(thm)],[f53,f33])).
% 21.75/4.48 thf(f33,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a,X0 : a > a > a > $o,X1 : a] : (((cP @ (sK9 @ X3 @ X2 @ X1 @ X0) @ (sK8 @ X3 @ X2 @ X1 @ X0)) = X1) | ($true != (sP0 @ X3 @ X2 @ X1 @ X0))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f19])).
% 21.75/4.48 thf(f53,plain,(
% 21.75/4.48 ( ! [X16 : a,X14 : a,X17 : a,X15 : a,X12 : a,X13 : a] : (($true = (sK20 @ (cP @ X15 @ X17) @ (cP @ X16 @ X13) @ (cP @ X14 @ X12))) | ($true != (sK20 @ X17 @ X13 @ X12)) | ($true != (sK20 @ X15 @ X16 @ X14))) )),
% 21.75/4.48 inference(equality_resolution,[status(thm)],[f52])).
% 21.75/4.48 thf(f52,plain,(
% 21.75/4.48 ( ! [X11 : a,X16 : a,X14 : a,X17 : a,X15 : a,X12 : a,X13 : a] : (($true != (sK20 @ X17 @ X13 @ X12)) | ((cP @ X15 @ X17) != X11) | ($true != (sK20 @ X15 @ X16 @ X14)) | ($true = (sK20 @ X11 @ (cP @ X16 @ X13) @ (cP @ X14 @ X12)))) )),
% 21.75/4.48 inference(equality_resolution,[status(thm)],[f51])).
% 21.75/4.48 thf(f51,plain,(
% 21.75/4.48 ( ! [X10 : a,X11 : a,X16 : a,X14 : a,X17 : a,X15 : a,X12 : a,X13 : a] : (($true != (sK20 @ X17 @ X13 @ X12)) | ((cP @ X16 @ X13) != X10) | ((cP @ X15 @ X17) != X11) | ($true != (sK20 @ X15 @ X16 @ X14)) | ($true = (sK20 @ X11 @ X10 @ (cP @ X14 @ X12)))) )),
% 21.75/4.48 inference(equality_resolution,[status(thm)],[f37])).
% 21.75/4.48 thf(f37,plain,(
% 21.75/4.48 ( ! [X10 : a,X11 : a,X9 : a,X16 : a,X14 : a,X17 : a,X15 : a,X12 : a,X13 : a] : (($true != (sK20 @ X17 @ X13 @ X12)) | ((cP @ X14 @ X12) != X9) | ((cP @ X16 @ X13) != X10) | ((cP @ X15 @ X17) != X11) | ($true != (sK20 @ X15 @ X16 @ X14)) | ($true = (sK20 @ X11 @ X10 @ X9))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f24])).
% 21.75/4.48 thf(f1745,plain,(
% 21.75/4.48 spl21_12 | ~spl21_27 | ~spl21_29),
% 21.75/4.48 inference(avatar_contradiction_clause,[status(thm)],[f1744])).
% 21.75/4.48 thf(f1744,plain,(
% 21.75/4.48 $false | (spl21_12 | ~spl21_27 | ~spl21_29)),
% 21.75/4.48 inference(subsumption_resolution,[status(thm)],[f1719,f1730])).
% 21.75/4.48 thf(f1730,plain,(
% 21.75/4.48 ($true = (sK20 @ (sK18 @ sK20) @ c0 @ (sK19 @ sK20))) | (~spl21_27 | ~spl21_29)),
% 21.75/4.48 inference(forward_demodulation,[status(thm)],[f1638,f1648])).
% 21.75/4.48 thf(f1638,plain,(
% 21.75/4.48 ($true = (sK20 @ (sK18 @ sK20) @ (sK17 @ sK20) @ (sK19 @ sK20))) | ~spl21_27),
% 21.75/4.48 inference(avatar_component_clause,[status(thm)],[f1636])).
% 21.75/4.48 thf(f1636,definition,(
% 21.75/4.48 spl21_27 <=> ($true = (sK20 @ (sK18 @ sK20) @ (sK17 @ sK20) @ (sK19 @ sK20)))),
% 21.75/4.48 introduced(definition,[new_symbols(naming,[spl21_27])],[avatar_definition])).
% 21.75/4.48 thf(f1719,plain,(
% 21.75/4.48 ($true != (sK20 @ (sK18 @ sK20) @ c0 @ (sK19 @ sK20))) | (spl21_12 | ~spl21_29)),
% 21.75/4.48 inference(subsumption_resolution,[status(thm)],[f1703,f207])).
% 21.75/4.48 thf(f1703,plain,(
% 21.75/4.48 ($true != (sK20 @ (sK18 @ sK20) @ c0 @ (sK19 @ sK20))) | ($true = (sK20 @ x @ y @ y)) | ~spl21_29),
% 21.75/4.48 inference(superposition,[status(thm)],[f39,f1648])).
% 21.75/4.48 thf(f1722,plain,(
% 21.75/4.48 spl21_12 | ~spl21_28 | ~spl21_29),
% 21.75/4.48 inference(avatar_contradiction_clause,[status(thm)],[f1721])).
% 21.75/4.48 thf(f1721,plain,(
% 21.75/4.48 $false | (spl21_12 | ~spl21_28 | ~spl21_29)),
% 21.75/4.48 inference(subsumption_resolution,[status(thm)],[f1720,f55])).
% 21.75/4.48 thf(f55,plain,(
% 21.75/4.48 ( ! [X11 : a] : (($true = (sK20 @ X11 @ c0 @ X11))) )),
% 21.75/4.48 inference(equality_resolution,[status(thm)],[f54])).
% 21.75/4.48 thf(f54,plain,(
% 21.75/4.48 ( ! [X10 : a,X11 : a] : ((c0 != X10) | ($true = (sK20 @ X11 @ X10 @ X11))) )),
% 21.75/4.48 inference(equality_resolution,[status(thm)],[f36])).
% 21.75/4.48 thf(f36,plain,(
% 21.75/4.48 ( ! [X10 : a,X11 : a,X9 : a] : ((X9 != X11) | (c0 != X10) | ($true = (sK20 @ X11 @ X10 @ X9))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f24])).
% 21.75/4.48 thf(f1720,plain,(
% 21.75/4.48 ($true != (sK20 @ (sK18 @ sK20) @ c0 @ (sK18 @ sK20))) | (spl21_12 | ~spl21_28 | ~spl21_29)),
% 21.75/4.48 inference(forward_demodulation,[status(thm)],[f1719,f1642])).
% 21.75/4.48 thf(f1642,plain,(
% 21.75/4.48 ((sK18 @ sK20) = (sK19 @ sK20)) | ~spl21_28),
% 21.75/4.48 inference(avatar_component_clause,[status(thm)],[f1640])).
% 21.75/4.48 thf(f1679,plain,(
% 21.75/4.48 spl21_11 | ~spl21_23 | ~spl21_24),
% 21.75/4.48 inference(avatar_contradiction_clause,[status(thm)],[f1678])).
% 21.75/4.48 thf(f1678,plain,(
% 21.75/4.48 $false | (spl21_11 | ~spl21_23 | ~spl21_24)),
% 21.75/4.48 inference(subsumption_resolution,[status(thm)],[f1677,f55])).
% 21.75/4.48 thf(f1677,plain,(
% 21.75/4.48 ($true != (sK20 @ (sK14 @ sK20) @ c0 @ (sK14 @ sK20))) | (spl21_11 | ~spl21_23 | ~spl21_24)),
% 21.75/4.48 inference(forward_demodulation,[status(thm)],[f1676,f1456])).
% 21.75/4.48 thf(f1456,plain,(
% 21.75/4.48 ((sK15 @ sK20) = (sK14 @ sK20)) | ~spl21_23),
% 21.75/4.48 inference(avatar_component_clause,[status(thm)],[f1454])).
% 21.75/4.48 thf(f1454,definition,(
% 21.75/4.48 spl21_23 <=> ((sK15 @ sK20) = (sK14 @ sK20))),
% 21.75/4.48 introduced(definition,[new_symbols(naming,[spl21_23])],[avatar_definition])).
% 21.75/4.48 thf(f1676,plain,(
% 21.75/4.48 ($true != (sK20 @ (sK14 @ sK20) @ c0 @ (sK15 @ sK20))) | (spl21_11 | ~spl21_24)),
% 21.75/4.48 inference(subsumption_resolution,[status(thm)],[f1662,f203])).
% 21.75/4.48 thf(f1662,plain,(
% 21.75/4.48 ($true != (sK20 @ (sK14 @ sK20) @ c0 @ (sK15 @ sK20))) | ((sK20 @ w @ z @ z) = $true) | ~spl21_24),
% 21.75/4.48 inference(superposition,[status(thm)],[f44,f1462])).
% 21.75/4.48 thf(f1462,plain,(
% 21.75/4.48 (c0 = (sK16 @ sK20)) | ~spl21_24),
% 21.75/4.48 inference(avatar_component_clause,[status(thm)],[f1460])).
% 21.75/4.48 thf(f1460,definition,(
% 21.75/4.48 spl21_24 <=> (c0 = (sK16 @ sK20))),
% 21.75/4.48 introduced(definition,[new_symbols(naming,[spl21_24])],[avatar_definition])).
% 21.75/4.48 thf(f1661,plain,(
% 21.75/4.48 spl21_26 | spl21_29 | spl21_12),
% 21.75/4.48 inference(avatar_split_clause,[status(thm)],[f1660,f205,f1646,f1632])).
% 21.75/4.48 thf(f1660,plain,(
% 21.75/4.48 (c0 = (sK17 @ sK20)) | ((sK17 @ sK20) = (sK19 @ sK20)) | ($true = (sK20 @ x @ y @ y))),
% 21.75/4.48 inference(subsumption_resolution,[status(thm)],[f1627,f39])).
% 21.75/4.48 thf(f1627,plain,(
% 21.75/4.48 ($true = (sK20 @ x @ y @ y)) | (c0 = (sK17 @ sK20)) | ($true = (sK20 @ (sK18 @ sK20) @ (sK17 @ sK20) @ (sK19 @ sK20))) | ((sK17 @ sK20) = (sK19 @ sK20))),
% 21.75/4.48 inference(trivial_inequality_removal,[status(thm)],[f1623])).
% 21.75/4.48 thf(f1623,plain,(
% 21.75/4.48 ($true = (sK20 @ (sK18 @ sK20) @ (sK17 @ sK20) @ (sK19 @ sK20))) | (c0 = (sK17 @ sK20)) | ($true = (sK20 @ x @ y @ y)) | ((sK17 @ sK20) = (sK19 @ sK20)) | ($true != $true)),
% 21.75/4.48 inference(superposition,[status(thm)],[f1589,f42])).
% 21.75/4.48 thf(f42,plain,(
% 21.75/4.48 ( ! [X4 : a > a > a > $o] : (($true = (sP0 @ (sK18 @ X4) @ (sK17 @ X4) @ (sK19 @ X4) @ X4)) | (c0 = (sK17 @ X4)) | ((sK19 @ X4) = (sK17 @ X4)) | ($true = (X4 @ x @ y @ y))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f24])).
% 21.75/4.48 thf(f1659,plain,(
% 21.75/4.48 spl21_29 | spl21_12 | spl21_30),
% 21.75/4.48 inference(avatar_split_clause,[status(thm)],[f1658,f1650,f205,f1646])).
% 21.75/4.48 thf(f1658,plain,(
% 21.75/4.48 (c0 = (sK17 @ sK20)) | (c0 = (sK18 @ sK20)) | ($true = (sK20 @ x @ y @ y))),
% 21.75/4.48 inference(subsumption_resolution,[status(thm)],[f1628,f39])).
% 21.75/4.48 thf(f1628,plain,(
% 21.75/4.48 ($true = (sK20 @ x @ y @ y)) | ($true = (sK20 @ (sK18 @ sK20) @ (sK17 @ sK20) @ (sK19 @ sK20))) | (c0 = (sK17 @ sK20)) | (c0 = (sK18 @ sK20))),
% 21.75/4.48 inference(trivial_inequality_removal,[status(thm)],[f1625])).
% 21.75/4.48 thf(f1625,plain,(
% 21.75/4.48 ($true = (sK20 @ (sK18 @ sK20) @ (sK17 @ sK20) @ (sK19 @ sK20))) | ($true = (sK20 @ x @ y @ y)) | (c0 = (sK17 @ sK20)) | (c0 = (sK18 @ sK20)) | ($true != $true)),
% 21.75/4.48 inference(superposition,[status(thm)],[f1589,f40])).
% 21.75/4.48 thf(f40,plain,(
% 21.75/4.48 ( ! [X4 : a > a > a > $o] : (($true = (sP0 @ (sK18 @ X4) @ (sK17 @ X4) @ (sK19 @ X4) @ X4)) | (c0 = (sK18 @ X4)) | ($true = (X4 @ x @ y @ y)) | (c0 = (sK17 @ X4))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f24])).
% 21.75/4.48 thf(f1643,plain,(
% 21.75/4.48 spl21_26 | spl21_27 | spl21_28 | spl21_12),
% 21.75/4.48 inference(avatar_split_clause,[status(thm)],[f1630,f205,f1640,f1636,f1632])).
% 21.75/4.48 thf(f1630,plain,(
% 21.75/4.48 ($true = (sK20 @ (sK18 @ sK20) @ (sK17 @ sK20) @ (sK19 @ sK20))) | ((sK18 @ sK20) = (sK19 @ sK20)) | ((sK17 @ sK20) = (sK19 @ sK20)) | spl21_12),
% 21.75/4.48 inference(subsumption_resolution,[status(thm)],[f1629,f207])).
% 21.75/4.48 thf(f1629,plain,(
% 21.75/4.48 ((sK18 @ sK20) = (sK19 @ sK20)) | ($true = (sK20 @ (sK18 @ sK20) @ (sK17 @ sK20) @ (sK19 @ sK20))) | ($true = (sK20 @ x @ y @ y)) | ((sK17 @ sK20) = (sK19 @ sK20))),
% 21.75/4.48 inference(trivial_inequality_removal,[status(thm)],[f1622])).
% 21.75/4.48 thf(f1622,plain,(
% 21.75/4.48 ($true = (sK20 @ (sK18 @ sK20) @ (sK17 @ sK20) @ (sK19 @ sK20))) | ((sK18 @ sK20) = (sK19 @ sK20)) | ($true = (sK20 @ x @ y @ y)) | ((sK17 @ sK20) = (sK19 @ sK20)) | ($true != $true)),
% 21.75/4.48 inference(superposition,[status(thm)],[f1589,f43])).
% 21.75/4.48 thf(f43,plain,(
% 21.75/4.48 ( ! [X4 : a > a > a > $o] : (($true = (sP0 @ (sK18 @ X4) @ (sK17 @ X4) @ (sK19 @ X4) @ X4)) | ((sK19 @ X4) = (sK17 @ X4)) | ((sK18 @ X4) = (sK19 @ X4)) | ($true = (X4 @ x @ y @ y))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f24])).
% 21.75/4.48 thf(f1479,plain,(
% 21.75/4.48 spl21_24 | spl21_11 | spl21_25),
% 21.75/4.48 inference(avatar_split_clause,[status(thm)],[f1478,f1466,f201,f1460])).
% 21.75/4.48 thf(f1478,plain,(
% 21.75/4.48 ((sK20 @ w @ z @ z) = $true) | (c0 = (sK16 @ sK20)) | ((sK15 @ sK20) = (sK16 @ sK20))),
% 21.75/4.48 inference(subsumption_resolution,[status(thm)],[f1440,f44])).
% 21.75/4.48 thf(f1440,plain,(
% 21.75/4.48 ((sK20 @ w @ z @ z) = $true) | ($true = (sK20 @ (sK14 @ sK20) @ (sK16 @ sK20) @ (sK15 @ sK20))) | (c0 = (sK16 @ sK20)) | ((sK15 @ sK20) = (sK16 @ sK20))),
% 21.75/4.48 inference(trivial_inequality_removal,[status(thm)],[f1438])).
% 21.75/4.48 thf(f1438,plain,(
% 21.75/4.48 ($true = (sK20 @ (sK14 @ sK20) @ (sK16 @ sK20) @ (sK15 @ sK20))) | ((sK20 @ w @ z @ z) = $true) | ((sK15 @ sK20) = (sK16 @ sK20)) | ($true != $true) | (c0 = (sK16 @ sK20))),
% 21.75/4.48 inference(superposition,[status(thm)],[f1416,f45])).
% 21.75/4.48 thf(f45,plain,(
% 21.75/4.48 ( ! [X0 : a > a > a > $o] : (($true = (sP1 @ (sK16 @ X0) @ (sK15 @ X0) @ (sK14 @ X0) @ X0)) | (c0 = (sK16 @ X0)) | ((X0 @ w @ z @ z) = $true) | ((sK16 @ X0) = (sK15 @ X0))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f24])).
% 21.75/4.48 thf(f1416,plain,(
% 21.75/4.48 ( ! [X2 : a,X0 : a,X1 : a] : (($true != (sP1 @ X0 @ X1 @ X2 @ sK20)) | ($true = (sK20 @ X2 @ X0 @ X1))) )),
% 21.75/4.48 inference(duplicate_literal_removal,[status(thm)],[f1374])).
% 21.75/4.48 thf(f1374,plain,(
% 21.75/4.48 ( ! [X2 : a,X0 : a,X1 : a] : (($true != (sP1 @ X0 @ X1 @ X2 @ sK20)) | ($true != (sP1 @ X0 @ X1 @ X2 @ sK20)) | ($true = (sK20 @ X2 @ X0 @ X1))) )),
% 21.75/4.48 inference(superposition,[status(thm)],[f1211,f25])).
% 21.75/4.48 thf(f25,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a,X0 : a > a > a > $o,X1 : a] : (((cP @ (sK4 @ X3 @ X2 @ X1 @ X0) @ (sK6 @ X3 @ X2 @ X1 @ X0)) = X3) | ($true != (sP1 @ X3 @ X2 @ X1 @ X0))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f15])).
% 21.75/4.48 thf(f15,plain,(
% 21.75/4.48 ! [X0 : a > a > a > $o,X1 : a,X2 : a,X3 : a] : ((($true = (X0 @ (sK2 @ X3 @ X2 @ X1 @ X0) @ (sK4 @ X3 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X2 @ X1 @ X0))) & ((cP @ (sK2 @ X3 @ X2 @ X1 @ X0) @ (sK7 @ X3 @ X2 @ X1 @ X0)) = X1) & ((cP @ (sK5 @ X3 @ X2 @ X1 @ X0) @ (sK3 @ X3 @ X2 @ X1 @ X0)) = X2) & ($true = (X0 @ (sK7 @ X3 @ X2 @ X1 @ X0) @ (sK6 @ X3 @ X2 @ X1 @ X0) @ (sK3 @ X3 @ X2 @ X1 @ X0))) & ((cP @ (sK4 @ X3 @ X2 @ X1 @ X0) @ (sK6 @ X3 @ X2 @ X1 @ X0)) = X3)) | ($true != (sP1 @ X3 @ X2 @ X1 @ X0)))),
% 21.75/4.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7])],[f13,f14])).
% 21.75/4.48 thf(f14,plain,(
% 21.75/4.48 ! [X0 : a > a > a > $o,X1 : a,X2 : a,X3 : a] : (? [X4 : a,X5 : a,X6 : a,X7 : a,X8 : a,X9 : a] : (($true = (X0 @ X4 @ X6 @ X7)) & ((cP @ X4 @ X9) = X1) & ((cP @ X7 @ X5) = X2) & ($true = (X0 @ X9 @ X8 @ X5)) & ((cP @ X6 @ X8) = X3)) => (($true = (X0 @ (sK2 @ X3 @ X2 @ X1 @ X0) @ (sK4 @ X3 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X2 @ X1 @ X0))) & ((cP @ (sK2 @ X3 @ X2 @ X1 @ X0) @ (sK7 @ X3 @ X2 @ X1 @ X0)) = X1) & ((cP @ (sK5 @ X3 @ X2 @ X1 @ X0) @ (sK3 @ X3 @ X2 @ X1 @ X0)) = X2) & ($true = (X0 @ (sK7 @ X3 @ X2 @ X1 @ X0) @ (sK6 @ X3 @ X2 @ X1 @ X0) @ (sK3 @ X3 @ X2 @ X1 @ X0))) & ((cP @ (sK4 @ X3 @ X2 @ X1 @ X0) @ (sK6 @ X3 @ X2 @ X1 @ X0)) = X3)))),
% 21.75/4.48 introduced(definition,[],[choice_axiom])).
% 21.75/4.48 thf(f13,plain,(
% 21.75/4.48 ! [X0 : a > a > a > $o,X1 : a,X2 : a,X3 : a] : (? [X4 : a,X5 : a,X6 : a,X7 : a,X8 : a,X9 : a] : (($true = (X0 @ X4 @ X6 @ X7)) & ((cP @ X4 @ X9) = X1) & ((cP @ X7 @ X5) = X2) & ($true = (X0 @ X9 @ X8 @ X5)) & ((cP @ X6 @ X8) = X3)) | ($true != (sP1 @ X3 @ X2 @ X1 @ X0)))),
% 21.75/4.48 inference(rectify,[status(thm)],[f12])).
% 21.75/4.48 thf(f12,plain,(
% 21.75/4.48 ! [X0 : a > a > a > $o,X2 : a,X3 : a,X1 : a] : (? [X9 : a,X6 : a,X5 : a,X8 : a,X7 : a,X4 : a] : (($true = (X0 @ X9 @ X5 @ X8)) & ((cP @ X9 @ X4) = X2) & ((cP @ X8 @ X6) = X3) & ($true = (X0 @ X4 @ X7 @ X6)) & ((cP @ X5 @ X7) = X1)) | ($true != (sP1 @ X1 @ X3 @ X2 @ X0)))),
% 21.75/4.48 inference(nnf_transformation,[status(thm)],[f10])).
% 21.75/4.48 thf(f1211,plain,(
% 21.75/4.48 ( ! [X2 : a,X0 : a,X1 : a] : (($true = (sK20 @ X2 @ (cP @ (sK4 @ X0 @ X1 @ X2 @ sK20) @ (sK6 @ X0 @ X1 @ X2 @ sK20)) @ X1)) | ($true != (sP1 @ X0 @ X1 @ X2 @ sK20))) )),
% 21.75/4.48 inference(trivial_inequality_removal,[status(thm)],[f1210])).
% 21.75/4.48 thf(f1210,plain,(
% 21.75/4.48 ( ! [X2 : a,X0 : a,X1 : a] : (($true = (sK20 @ X2 @ (cP @ (sK4 @ X0 @ X1 @ X2 @ sK20) @ (sK6 @ X0 @ X1 @ X2 @ sK20)) @ X1)) | ($true != $true) | ($true != (sP1 @ X0 @ X1 @ X2 @ sK20))) )),
% 21.75/4.48 inference(duplicate_literal_removal,[status(thm)],[f1209])).
% 21.75/4.48 thf(f1209,plain,(
% 21.75/4.48 ( ! [X2 : a,X0 : a,X1 : a] : (($true = (sK20 @ X2 @ (cP @ (sK4 @ X0 @ X1 @ X2 @ sK20) @ (sK6 @ X0 @ X1 @ X2 @ sK20)) @ X1)) | ($true != $true) | ($true != (sP1 @ X0 @ X1 @ X2 @ sK20)) | ($true != (sP1 @ X0 @ X1 @ X2 @ sK20))) )),
% 21.75/4.48 inference(superposition,[status(thm)],[f1031,f29])).
% 21.75/4.48 thf(f29,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a,X0 : a > a > a > $o,X1 : a] : (($true = (X0 @ (sK2 @ X3 @ X2 @ X1 @ X0) @ (sK4 @ X3 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X2 @ X1 @ X0))) | ($true != (sP1 @ X3 @ X2 @ X1 @ X0))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f15])).
% 21.75/4.48 thf(f1031,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (((sK20 @ (sK2 @ X0 @ X1 @ X2 @ sK20) @ X3 @ (sK5 @ X0 @ X1 @ X2 @ sK20)) != $true) | ($true = (sK20 @ X2 @ (cP @ X3 @ (sK6 @ X0 @ X1 @ X2 @ sK20)) @ X1)) | ($true != (sP1 @ X0 @ X1 @ X2 @ sK20))) )),
% 21.75/4.48 inference(duplicate_literal_removal,[status(thm)],[f1023])).
% 21.75/4.48 thf(f1023,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (($true != (sP1 @ X0 @ X1 @ X2 @ sK20)) | ((sK20 @ (sK2 @ X0 @ X1 @ X2 @ sK20) @ X3 @ (sK5 @ X0 @ X1 @ X2 @ sK20)) != $true) | ($true != (sP1 @ X0 @ X1 @ X2 @ sK20)) | ($true = (sK20 @ X2 @ (cP @ X3 @ (sK6 @ X0 @ X1 @ X2 @ sK20)) @ X1))) )),
% 21.75/4.48 inference(superposition,[status(thm)],[f532,f28])).
% 21.75/4.48 thf(f28,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a,X0 : a > a > a > $o,X1 : a] : (((cP @ (sK2 @ X3 @ X2 @ X1 @ X0) @ (sK7 @ X3 @ X2 @ X1 @ X0)) = X1) | ($true != (sP1 @ X3 @ X2 @ X1 @ X0))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f15])).
% 21.75/4.48 thf(f532,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a,X0 : a,X1 : a,X4 : a] : (($true = (sK20 @ (cP @ X3 @ (sK7 @ X0 @ X1 @ X2 @ sK20)) @ (cP @ X4 @ (sK6 @ X0 @ X1 @ X2 @ sK20)) @ X1)) | ($true != (sK20 @ X3 @ X4 @ (sK5 @ X0 @ X1 @ X2 @ sK20))) | ($true != (sP1 @ X0 @ X1 @ X2 @ sK20))) )),
% 21.75/4.48 inference(trivial_inequality_removal,[status(thm)],[f531])).
% 21.75/4.48 thf(f531,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a,X0 : a,X1 : a,X4 : a] : (($true != (sP1 @ X0 @ X1 @ X2 @ sK20)) | ($true != (sK20 @ X3 @ X4 @ (sK5 @ X0 @ X1 @ X2 @ sK20))) | ($true != $true) | ($true = (sK20 @ (cP @ X3 @ (sK7 @ X0 @ X1 @ X2 @ sK20)) @ (cP @ X4 @ (sK6 @ X0 @ X1 @ X2 @ sK20)) @ X1))) )),
% 21.75/4.48 inference(duplicate_literal_removal,[status(thm)],[f529])).
% 21.75/4.48 thf(f529,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a,X0 : a,X1 : a,X4 : a] : (($true != (sK20 @ X3 @ X4 @ (sK5 @ X0 @ X1 @ X2 @ sK20))) | ($true != (sP1 @ X0 @ X1 @ X2 @ sK20)) | ($true = (sK20 @ (cP @ X3 @ (sK7 @ X0 @ X1 @ X2 @ sK20)) @ (cP @ X4 @ (sK6 @ X0 @ X1 @ X2 @ sK20)) @ X1)) | ($true != $true) | ($true != (sP1 @ X0 @ X1 @ X2 @ sK20))) )),
% 21.75/4.48 inference(superposition,[status(thm)],[f182,f26])).
% 21.75/4.48 thf(f26,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a,X0 : a > a > a > $o,X1 : a] : (($true = (X0 @ (sK7 @ X3 @ X2 @ X1 @ X0) @ (sK6 @ X3 @ X2 @ X1 @ X0) @ (sK3 @ X3 @ X2 @ X1 @ X0))) | ($true != (sP1 @ X3 @ X2 @ X1 @ X0))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f15])).
% 21.75/4.48 thf(f182,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a > a > a > $o,X0 : a,X1 : a,X6 : a,X7 : a,X4 : a,X5 : a] : (($true != (sK20 @ X5 @ X7 @ (sK3 @ X0 @ X1 @ X2 @ X3))) | ($true != (sP1 @ X0 @ X1 @ X2 @ X3)) | ($true != (sK20 @ X4 @ X6 @ (sK5 @ X0 @ X1 @ X2 @ X3))) | ($true = (sK20 @ (cP @ X4 @ X5) @ (cP @ X6 @ X7) @ X1))) )),
% 21.75/4.48 inference(superposition,[status(thm)],[f53,f27])).
% 21.75/4.48 thf(f27,plain,(
% 21.75/4.48 ( ! [X2 : a,X3 : a,X0 : a > a > a > $o,X1 : a] : (((cP @ (sK5 @ X3 @ X2 @ X1 @ X0) @ (sK3 @ X3 @ X2 @ X1 @ X0)) = X2) | ($true != (sP1 @ X3 @ X2 @ X1 @ X0))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f15])).
% 21.75/4.48 thf(f1477,plain,(
% 21.75/4.48 spl21_11 | spl21_22 | spl21_24),
% 21.75/4.48 inference(avatar_split_clause,[status(thm)],[f1476,f1460,f1450,f201])).
% 21.75/4.48 thf(f1476,plain,(
% 21.75/4.48 (c0 = (sK14 @ sK20)) | ((sK20 @ w @ z @ z) = $true) | (c0 = (sK16 @ sK20))),
% 21.75/4.48 inference(subsumption_resolution,[status(thm)],[f1442,f44])).
% 21.75/4.48 thf(f1442,plain,(
% 21.75/4.48 (c0 = (sK16 @ sK20)) | (c0 = (sK14 @ sK20)) | ((sK20 @ w @ z @ z) = $true) | ($true = (sK20 @ (sK14 @ sK20) @ (sK16 @ sK20) @ (sK15 @ sK20)))),
% 21.75/4.48 inference(trivial_inequality_removal,[status(thm)],[f1439])).
% 21.75/4.48 thf(f1439,plain,(
% 21.75/4.48 (c0 = (sK14 @ sK20)) | ((sK20 @ w @ z @ z) = $true) | (c0 = (sK16 @ sK20)) | ($true = (sK20 @ (sK14 @ sK20) @ (sK16 @ sK20) @ (sK15 @ sK20))) | ($true != $true)),
% 21.75/4.48 inference(superposition,[status(thm)],[f1416,f47])).
% 21.75/4.48 thf(f47,plain,(
% 21.75/4.48 ( ! [X0 : a > a > a > $o] : (($true = (sP1 @ (sK16 @ X0) @ (sK15 @ X0) @ (sK14 @ X0) @ X0)) | ((X0 @ w @ z @ z) = $true) | (c0 = (sK14 @ X0)) | (c0 = (sK16 @ X0))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f24])).
% 21.75/4.48 thf(f1475,plain,(
% 21.75/4.48 spl21_11 | spl21_23 | spl21_22),
% 21.75/4.48 inference(avatar_split_clause,[status(thm)],[f1474,f1450,f1454,f201])).
% 21.75/4.48 thf(f1474,plain,(
% 21.75/4.48 ((sK20 @ w @ z @ z) = $true) | ((sK15 @ sK20) = (sK14 @ sK20)) | (c0 = (sK14 @ sK20))),
% 21.75/4.48 inference(subsumption_resolution,[status(thm)],[f1443,f44])).
% 21.75/4.48 thf(f1443,plain,(
% 21.75/4.48 ((sK20 @ w @ z @ z) = $true) | (c0 = (sK14 @ sK20)) | ($true = (sK20 @ (sK14 @ sK20) @ (sK16 @ sK20) @ (sK15 @ sK20))) | ((sK15 @ sK20) = (sK14 @ sK20))),
% 21.75/4.48 inference(trivial_inequality_removal,[status(thm)],[f1437])).
% 21.75/4.48 thf(f1437,plain,(
% 21.75/4.48 ($true != $true) | ((sK15 @ sK20) = (sK14 @ sK20)) | ((sK20 @ w @ z @ z) = $true) | ($true = (sK20 @ (sK14 @ sK20) @ (sK16 @ sK20) @ (sK15 @ sK20))) | (c0 = (sK14 @ sK20))),
% 21.75/4.48 inference(superposition,[status(thm)],[f1416,f48])).
% 21.75/4.48 thf(f48,plain,(
% 21.75/4.48 ( ! [X0 : a > a > a > $o] : (($true = (sP1 @ (sK16 @ X0) @ (sK15 @ X0) @ (sK14 @ X0) @ X0)) | ((X0 @ w @ z @ z) = $true) | (c0 = (sK14 @ X0)) | ((sK15 @ X0) = (sK14 @ X0))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f24])).
% 21.75/4.48 thf(f1473,plain,(
% 21.75/4.48 spl21_25 | spl21_23 | spl21_11),
% 21.75/4.48 inference(avatar_split_clause,[status(thm)],[f1472,f201,f1454,f1466])).
% 21.75/4.48 thf(f1472,plain,(
% 21.75/4.48 ((sK15 @ sK20) = (sK16 @ sK20)) | ((sK20 @ w @ z @ z) = $true) | ((sK15 @ sK20) = (sK14 @ sK20))),
% 21.75/4.48 inference(subsumption_resolution,[status(thm)],[f1441,f44])).
% 21.75/4.48 thf(f1441,plain,(
% 21.75/4.48 ((sK20 @ w @ z @ z) = $true) | ((sK15 @ sK20) = (sK14 @ sK20)) | ((sK15 @ sK20) = (sK16 @ sK20)) | ($true = (sK20 @ (sK14 @ sK20) @ (sK16 @ sK20) @ (sK15 @ sK20)))),
% 21.75/4.48 inference(trivial_inequality_removal,[status(thm)],[f1436])).
% 21.75/4.48 thf(f1436,plain,(
% 21.75/4.48 ((sK15 @ sK20) = (sK16 @ sK20)) | ($true != $true) | ($true = (sK20 @ (sK14 @ sK20) @ (sK16 @ sK20) @ (sK15 @ sK20))) | ((sK15 @ sK20) = (sK14 @ sK20)) | ((sK20 @ w @ z @ z) = $true)),
% 21.75/4.48 inference(superposition,[status(thm)],[f1416,f46])).
% 21.75/4.48 thf(f46,plain,(
% 21.75/4.48 ( ! [X0 : a > a > a > $o] : (($true = (sP1 @ (sK16 @ X0) @ (sK15 @ X0) @ (sK14 @ X0) @ X0)) | ((X0 @ w @ z @ z) = $true) | ((sK16 @ X0) = (sK15 @ X0)) | ((sK15 @ X0) = (sK14 @ X0))) )),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f24])).
% 21.75/4.48 thf(f208,plain,(
% 21.75/4.48 ~spl21_11 | ~spl21_12),
% 21.75/4.48 inference(avatar_split_clause,[status(thm)],[f199,f205,f201])).
% 21.75/4.48 thf(f199,plain,(
% 21.75/4.48 ($true != (sK20 @ x @ y @ y)) | ((sK20 @ w @ z @ z) != $true)),
% 21.75/4.48 inference(trivial_inequality_removal,[status(thm)],[f198])).
% 21.75/4.48 thf(f198,plain,(
% 21.75/4.48 ((sK20 @ w @ z @ z) != $true) | ($true != (sK20 @ x @ y @ y)) | ($true != $true)),
% 21.75/4.48 inference(superposition,[status(thm)],[f35,f53])).
% 21.75/4.48 thf(f35,plain,(
% 21.75/4.48 ($true != (sK20 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z)))),
% 21.75/4.48 inference(cnf_transformation,[status(thm)],[f24])).
% 21.75/4.48 % SZS output end Proof for DTF2THF_5479
% 21.75/4.48 % (6010)------------------------------
% 21.75/4.48 % (6010)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.75/4.48 % (6010)Termination reason: Refutation
% 21.75/4.48
% 21.75/4.48 % (6010)Memory used [KB]: 9466
% 21.75/4.48 % (6010)Time elapsed: 0.461 s
% 21.75/4.48 % (6010)Instructions burned: 1551 (million)
% 21.75/4.48 % (6010)------------------------------
% 21.75/4.48 % (6010)------------------------------
% 21.75/4.48 % (5642)Success in time 3.128 s
%------------------------------------------------------------------------------