%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV034^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : 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 09:40:07 AM UTC 2026
% Result : Theorem 1.42s 1.27s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 46 ( 5 unt; 0 typ; 2 def)
% Number of atoms : 537 ( 210 equ; 0 cnn)
% Maximal formula atoms : 38 ( 11 avg)
% Number of connectives : 1054 ( 135 ~; 107 |; 80 &; 680 @)
% ( 2 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 56 ( 56 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 245 ( 0 ^; 217 !; 28 ?; 245 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_7,type,
b: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_5,type,
sK0: a > b > b > $o ).
thf(func_def_6,type,
sK1: a > b ).
thf(func_def_7,type,
sK2: a > b ).
thf(func_def_8,type,
sK3: a > a > $o ).
thf(func_def_9,type,
sK4: a ).
thf(func_def_10,type,
sK5: a ).
thf(func_def_12,type,
ph7:
!>[X0: $tType] : X0 ).
thf(f404,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f49,f54,f403]) ).
thf(f403,plain,
~ spl6_3,
inference(avatar_contradiction_clause,[status(thm)],[f402]) ).
thf(f402,plain,
( $false
| ~ spl6_3 ),
inference(trivial_inequality_removal,[status(thm)],[f397]) ).
thf(f397,plain,
( ( $true != $true )
| ~ spl6_3 ),
inference(superposition,[status(thm)],[f367,f16]) ).
thf(f16,plain,
( ( sK3 @ sK5 @ sK4 )
= $true ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f11,plain,
( ! [X4: a,X5: a] :
( ( ( sK3 @ X5 @ X4 )
!= $true )
| ( ( sK0 @ X5 @ ( sK2 @ X5 ) @ ( sK2 @ X4 ) )
= $true ) )
& ! [X6: a,X7: a] :
( ( ( sK3 @ X7 @ X6 )
= $true )
| ( ( sK3 @ X6 @ X7 )
!= $true ) )
& ! [X8: a] :
( ( ( sK0 @ X8 @ ( sK2 @ X8 ) @ ( sK1 @ X8 ) )
= $true )
| ( ( sK3 @ X8 @ X8 )
!= $true ) )
& ( sK3 = sK3 )
& ( ( sK0 @ sK5 @ ( sK2 @ sK5 ) @ ( sK1 @ sK4 ) )
!= $true )
& ( ( sK3 @ sK5 @ sK4 )
= $true )
& ! [X11: a,X12: a,X13: a] :
( ( ( sK3 @ X12 @ X13 )
!= $true )
| ( ( sK3 @ X11 @ X12 )
!= $true )
| ( ( sK3 @ X11 @ X13 )
= $true ) )
& ! [X14: a,X15: a] :
( ( ( sK3 @ X14 @ X15 )
!= $true )
| ( ( ( sK0 @ X14 )
= ( sK0 @ X15 ) )
& ! [X16: b,X17: b] :
( ( ( sK0 @ X14 @ X17 @ X16 )
= $true )
| ( ( sK0 @ X14 @ X16 @ X17 )
!= $true ) )
& ! [X18: b,X19: b,X20: b] :
( ( ( sK0 @ X14 @ X20 @ X18 )
!= $true )
| ( $true
= ( sK0 @ X14 @ X20 @ X19 ) )
| ( ( sK0 @ X14 @ X18 @ X19 )
!= $true ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f8,f10,f9]) ).
thf(f9,plain,
( ? [X0: a > b > b > $o,X1: a > b,X2: a > b,X3: a > a > $o] :
( ! [X4: a,X5: a] :
( ( ( X3 @ X5 @ X4 )
!= $true )
| ( ( X0 @ X5 @ ( X2 @ X5 ) @ ( X2 @ X4 ) )
= $true ) )
& ! [X6: a,X7: a] :
( ( ( X3 @ X7 @ X6 )
= $true )
| ( ( X3 @ X6 @ X7 )
!= $true ) )
& ! [X8: a] :
( ( ( X0 @ X8 @ ( X2 @ X8 ) @ ( X1 @ X8 ) )
= $true )
| ( ( X3 @ X8 @ X8 )
!= $true ) )
& ( X3 = X3 )
& ? [X9: a,X10: a] :
( ( ( X0 @ X10 @ ( X2 @ X10 ) @ ( X1 @ X9 ) )
!= $true )
& ( ( X3 @ X10 @ X9 )
= $true ) )
& ! [X11: a,X12: a,X13: a] :
( ( ( X3 @ X12 @ X13 )
!= $true )
| ( ( X3 @ X11 @ X12 )
!= $true )
| ( ( X3 @ X11 @ X13 )
= $true ) )
& ! [X14: a,X15: a] :
( ( ( X3 @ X14 @ X15 )
!= $true )
| ( ( ( X0 @ X15 )
= ( X0 @ X14 ) )
& ! [X16: b,X17: b] :
( ( ( X0 @ X14 @ X17 @ X16 )
= $true )
| ( ( X0 @ X14 @ X16 @ X17 )
!= $true ) )
& ! [X18: b,X19: b,X20: b] :
( ( ( X0 @ X14 @ X20 @ X18 )
!= $true )
| ( ( X0 @ X14 @ X20 @ X19 )
= $true )
| ( ( X0 @ X14 @ X18 @ X19 )
!= $true ) ) ) ) )
=> ( ! [X5: a,X4: a] :
( ( ( sK3 @ X5 @ X4 )
!= $true )
| ( ( sK0 @ X5 @ ( sK2 @ X5 ) @ ( sK2 @ X4 ) )
= $true ) )
& ! [X7: a,X6: a] :
( ( ( sK3 @ X7 @ X6 )
= $true )
| ( ( sK3 @ X6 @ X7 )
!= $true ) )
& ! [X8: a] :
( ( ( sK0 @ X8 @ ( sK2 @ X8 ) @ ( sK1 @ X8 ) )
= $true )
| ( ( sK3 @ X8 @ X8 )
!= $true ) )
& ( sK3 = sK3 )
& ? [X10: a,X9: a] :
( ( ( sK0 @ X10 @ ( sK2 @ X10 ) @ ( sK1 @ X9 ) )
!= $true )
& ( ( sK3 @ X10 @ X9 )
= $true ) )
& ! [X13: a,X12: a,X11: a] :
( ( ( sK3 @ X12 @ X13 )
!= $true )
| ( ( sK3 @ X11 @ X12 )
!= $true )
| ( ( sK3 @ X11 @ X13 )
= $true ) )
& ! [X15: a,X14: a] :
( ( ( sK3 @ X14 @ X15 )
!= $true )
| ( ( ( sK0 @ X14 )
= ( sK0 @ X15 ) )
& ! [X17: b,X16: b] :
( ( ( sK0 @ X14 @ X17 @ X16 )
= $true )
| ( ( sK0 @ X14 @ X16 @ X17 )
!= $true ) )
& ! [X20: b,X19: b,X18: b] :
( ( ( sK0 @ X14 @ X20 @ X18 )
!= $true )
| ( $true
= ( sK0 @ X14 @ X20 @ X19 ) )
| ( ( sK0 @ X14 @ X18 @ X19 )
!= $true ) ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f10,plain,
( ? [X10: a,X9: a] :
( ( ( sK0 @ X10 @ ( sK2 @ X10 ) @ ( sK1 @ X9 ) )
!= $true )
& ( ( sK3 @ X10 @ X9 )
= $true ) )
=> ( ( ( sK0 @ sK5 @ ( sK2 @ sK5 ) @ ( sK1 @ sK4 ) )
!= $true )
& ( ( sK3 @ sK5 @ sK4 )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f8,plain,
? [X0: a > b > b > $o,X1: a > b,X2: a > b,X3: a > a > $o] :
( ! [X4: a,X5: a] :
( ( ( X3 @ X5 @ X4 )
!= $true )
| ( ( X0 @ X5 @ ( X2 @ X5 ) @ ( X2 @ X4 ) )
= $true ) )
& ! [X6: a,X7: a] :
( ( ( X3 @ X7 @ X6 )
= $true )
| ( ( X3 @ X6 @ X7 )
!= $true ) )
& ! [X8: a] :
( ( ( X0 @ X8 @ ( X2 @ X8 ) @ ( X1 @ X8 ) )
= $true )
| ( ( X3 @ X8 @ X8 )
!= $true ) )
& ( X3 = X3 )
& ? [X9: a,X10: a] :
( ( ( X0 @ X10 @ ( X2 @ X10 ) @ ( X1 @ X9 ) )
!= $true )
& ( ( X3 @ X10 @ X9 )
= $true ) )
& ! [X11: a,X12: a,X13: a] :
( ( ( X3 @ X12 @ X13 )
!= $true )
| ( ( X3 @ X11 @ X12 )
!= $true )
| ( ( X3 @ X11 @ X13 )
= $true ) )
& ! [X14: a,X15: a] :
( ( ( X3 @ X14 @ X15 )
!= $true )
| ( ( ( X0 @ X15 )
= ( X0 @ X14 ) )
& ! [X16: b,X17: b] :
( ( ( X0 @ X14 @ X17 @ X16 )
= $true )
| ( ( X0 @ X14 @ X16 @ X17 )
!= $true ) )
& ! [X18: b,X19: b,X20: b] :
( ( ( X0 @ X14 @ X20 @ X18 )
!= $true )
| ( ( X0 @ X14 @ X20 @ X19 )
= $true )
| ( ( X0 @ X14 @ X18 @ X19 )
!= $true ) ) ) ) ),
inference(rectify,[status(thm)],[f7]) ).
thf(f7,plain,
? [X0: a > b > b > $o,X2: a > b,X3: a > b,X1: a > a > $o] :
( ! [X5: a,X6: a] :
( ( ( X1 @ X6 @ X5 )
!= $true )
| ( ( X0 @ X6 @ ( X3 @ X6 ) @ ( X3 @ X5 ) )
= $true ) )
& ! [X8: a,X7: a] :
( ( $true
= ( X1 @ X7 @ X8 ) )
| ( ( X1 @ X8 @ X7 )
!= $true ) )
& ! [X4: a] :
( ( ( X0 @ X4 @ ( X3 @ X4 ) @ ( X2 @ X4 ) )
= $true )
| ( ( X1 @ X4 @ X4 )
!= $true ) )
& ( X1 = X1 )
& ? [X19: a,X20: a] :
( ( ( X0 @ X20 @ ( X3 @ X20 ) @ ( X2 @ X19 ) )
!= $true )
& ( ( X1 @ X20 @ X19 )
= $true ) )
& ! [X9: a,X10: a,X11: a] :
( ( ( X1 @ X10 @ X11 )
!= $true )
| ( ( X1 @ X9 @ X10 )
!= $true )
| ( ( X1 @ X9 @ X11 )
= $true ) )
& ! [X13: a,X12: a] :
( ( ( X1 @ X13 @ X12 )
!= $true )
| ( ( ( X0 @ X12 )
= ( X0 @ X13 ) )
& ! [X18: b,X17: b] :
( ( ( X0 @ X13 @ X17 @ X18 )
= $true )
| ( ( X0 @ X13 @ X18 @ X17 )
!= $true ) )
& ! [X16: b,X14: b,X15: b] :
( ( ( X0 @ X13 @ X15 @ X16 )
!= $true )
| ( ( X0 @ X13 @ X15 @ X14 )
= $true )
| ( ( X0 @ X13 @ X16 @ X14 )
!= $true ) ) ) ) ),
inference(flattening,[status(thm)],[f6]) ).
thf(f6,plain,
? [X1: a > a > $o,X2: a > b,X3: a > b,X0: a > b > b > $o] :
( ? [X19: a,X20: a] :
( ( ( X0 @ X20 @ ( X3 @ X20 ) @ ( X2 @ X19 ) )
!= $true )
& ( ( X1 @ X20 @ X19 )
= $true ) )
& ! [X12: a,X13: a] :
( ( ( ( X0 @ X12 )
= ( X0 @ X13 ) )
& ! [X14: b,X15: b,X16: b] :
( ( ( X0 @ X13 @ X15 @ X14 )
= $true )
| ( ( X0 @ X13 @ X15 @ X16 )
!= $true )
| ( ( X0 @ X13 @ X16 @ X14 )
!= $true ) )
& ! [X18: b,X17: b] :
( ( ( X0 @ X13 @ X17 @ X18 )
= $true )
| ( ( X0 @ X13 @ X18 @ X17 )
!= $true ) ) )
| ( ( X1 @ X13 @ X12 )
!= $true ) )
& ! [X11: a,X10: a,X9: a] :
( ( ( X1 @ X9 @ X11 )
= $true )
| ( ( X1 @ X9 @ X10 )
!= $true )
| ( ( X1 @ X10 @ X11 )
!= $true ) )
& ! [X8: a,X7: a] :
( ( $true
= ( X1 @ X7 @ X8 ) )
| ( ( X1 @ X8 @ X7 )
!= $true ) )
& ( X1 = X1 )
& ! [X5: a,X6: a] :
( ( ( X1 @ X6 @ X5 )
!= $true )
| ( ( X0 @ X6 @ ( X3 @ X6 ) @ ( X3 @ X5 ) )
= $true ) )
& ! [X4: a] :
( ( ( X0 @ X4 @ ( X3 @ X4 ) @ ( X2 @ X4 ) )
= $true )
| ( ( X1 @ X4 @ X4 )
!= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
~ ! [X1: a > a > $o,X2: a > b,X3: a > b,X0: a > b > b > $o] :
( ! [X4: a] :
( ( ( X1 @ X4 @ X4 )
= $true )
=> ( ( X0 @ X4 @ ( X3 @ X4 ) @ ( X2 @ X4 ) )
= $true ) )
=> ( ! [X5: a,X6: a] :
( ( ( X1 @ X6 @ X5 )
= $true )
=> ( ( X0 @ X6 @ ( X3 @ X6 ) @ ( X3 @ X5 ) )
= $true ) )
=> ( ( ! [X11: a,X10: a,X9: a] :
( ( ( ( X1 @ X9 @ X10 )
= $true )
& ( ( X1 @ X10 @ X11 )
= $true ) )
=> ( ( X1 @ X9 @ X11 )
= $true ) )
& ! [X8: a,X7: a] :
( ( ( X1 @ X8 @ X7 )
= $true )
=> ( $true
= ( X1 @ X7 @ X8 ) ) )
& ( X1 = X1 ) )
=> ( ! [X12: a,X13: a] :
( ( ( X1 @ X13 @ X12 )
= $true )
=> ( ( ( X0 @ X12 )
= ( X0 @ X13 ) )
& ! [X14: b,X15: b,X16: b] :
( ( ( ( X0 @ X13 @ X15 @ X16 )
= $true )
& ( ( X0 @ X13 @ X16 @ X14 )
= $true ) )
=> ( ( X0 @ X13 @ X15 @ X14 )
= $true ) )
& ! [X18: b,X17: b] :
( ( ( X0 @ X13 @ X18 @ X17 )
= $true )
=> ( ( X0 @ X13 @ X17 @ X18 )
= $true ) ) ) )
=> ! [X19: a,X20: a] :
( ( ( X1 @ X20 @ X19 )
= $true )
=> ( ( X0 @ X20 @ ( X3 @ X20 ) @ ( X2 @ X19 ) )
= $true ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: a > b > b > $o,X1: a > a > $o,X2: a > b,X3: a > b] :
( ! [X4: a] :
( ( X1 @ X4 @ X4 )
=> ( X0 @ X4 @ ( X3 @ X4 ) @ ( X2 @ X4 ) ) )
=> ( ! [X5: a,X6: a] :
( ( X1 @ X6 @ X5 )
=> ( X0 @ X6 @ ( X3 @ X6 ) @ ( X3 @ X5 ) ) )
=> ( ( ! [X7: a,X8: a] :
( ( X1 @ X8 @ X7 )
=> ( X1 @ X7 @ X8 ) )
& ( X1 = X1 )
& ! [X9: a,X10: a,X11: a] :
( ( ( X1 @ X10 @ X11 )
& ( X1 @ X9 @ X10 ) )
=> ( X1 @ X9 @ X11 ) ) )
=> ( ! [X12: a,X13: a] :
( ( X1 @ X13 @ X12 )
=> ( ! [X14: b,X15: b,X16: b] :
( ( ( X0 @ X13 @ X15 @ X16 )
& ( X0 @ X13 @ X16 @ X14 ) )
=> ( X0 @ X13 @ X15 @ X14 ) )
& ! [X17: b,X18: b] :
( ( X0 @ X13 @ X18 @ X17 )
=> ( X0 @ X13 @ X17 @ X18 ) )
& ( ( X0 @ X12 )
= ( X0 @ X13 ) ) ) )
=> ! [X19: a,X20: a] :
( ( X1 @ X20 @ X19 )
=> ( X0 @ X20 @ ( X3 @ X20 ) @ ( X2 @ X19 ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X1: a > b > b > $o,X0: a > a > $o,X3: a > b,X2: a > b] :
( ! [X4: a] :
( ( X0 @ X4 @ X4 )
=> ( X1 @ X4 @ ( X2 @ X4 ) @ ( X3 @ X4 ) ) )
=> ( ! [X5: a,X4: a] :
( ( X0 @ X4 @ X5 )
=> ( X1 @ X4 @ ( X2 @ X4 ) @ ( X2 @ X5 ) ) )
=> ( ( ! [X5: a,X4: a] :
( ( X0 @ X4 @ X5 )
=> ( X0 @ X5 @ X4 ) )
& ( X0 = X0 )
& ! [X4: a,X5: a,X6: a] :
( ( ( X0 @ X5 @ X6 )
& ( X0 @ X4 @ X5 ) )
=> ( X0 @ X4 @ X6 ) ) )
=> ( ! [X5: a,X4: a] :
( ( X0 @ X4 @ X5 )
=> ( ! [X6: b,X7: b,X8: b] :
( ( ( X1 @ X4 @ X7 @ X8 )
& ( X1 @ X4 @ X8 @ X6 ) )
=> ( X1 @ X4 @ X7 @ X6 ) )
& ! [X8: b,X7: b] :
( ( X1 @ X4 @ X7 @ X8 )
=> ( X1 @ X4 @ X8 @ X7 ) )
& ( ( X1 @ X4 )
= ( X1 @ X5 ) ) ) )
=> ! [X5: a,X4: a] :
( ( X0 @ X4 @ X5 )
=> ( X1 @ X4 @ ( X2 @ X4 ) @ ( X3 @ X5 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X1: a > b > b > $o,X0: a > a > $o,X3: a > b,X2: a > b] :
( ! [X4: a] :
( ( X0 @ X4 @ X4 )
=> ( X1 @ X4 @ ( X2 @ X4 ) @ ( X3 @ X4 ) ) )
=> ( ! [X5: a,X4: a] :
( ( X0 @ X4 @ X5 )
=> ( X1 @ X4 @ ( X2 @ X4 ) @ ( X2 @ X5 ) ) )
=> ( ( ! [X5: a,X4: a] :
( ( X0 @ X4 @ X5 )
=> ( X0 @ X5 @ X4 ) )
& ( X0 = X0 )
& ! [X4: a,X5: a,X6: a] :
( ( ( X0 @ X5 @ X6 )
& ( X0 @ X4 @ X5 ) )
=> ( X0 @ X4 @ X6 ) ) )
=> ( ! [X5: a,X4: a] :
( ( X0 @ X4 @ X5 )
=> ( ! [X6: b,X7: b,X8: b] :
( ( ( X1 @ X4 @ X7 @ X8 )
& ( X1 @ X4 @ X8 @ X6 ) )
=> ( X1 @ X4 @ X7 @ X6 ) )
& ! [X8: b,X7: b] :
( ( X1 @ X4 @ X7 @ X8 )
=> ( X1 @ X4 @ X8 @ X7 ) )
& ( ( X1 @ X4 )
= ( X1 @ X5 ) ) ) )
=> ! [X5: a,X4: a] :
( ( X0 @ X4 @ X5 )
=> ( X1 @ X4 @ ( X2 @ X4 ) @ ( X3 @ X5 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.VBlchGzUsL/DTF2THF_29224.p',cTHM518_pme) ).
thf(f367,plain,
( ! [X0: a] :
( ( sK3 @ X0 @ sK4 )
!= $true )
| ~ spl6_3 ),
inference(subsumption_resolution,[status(thm)],[f365,f20]) ).
thf(f20,plain,
! [X6: a,X7: a] :
( ( ( sK3 @ X7 @ X6 )
= $true )
| ( ( sK3 @ X6 @ X7 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f365,plain,
( ! [X0: a] :
( ( ( sK3 @ sK4 @ X0 )
!= $true )
| ( ( sK3 @ X0 @ sK4 )
!= $true ) )
| ~ spl6_3 ),
inference(trivial_inequality_removal,[status(thm)],[f363]) ).
thf(f363,plain,
( ! [X0: a] :
( ( ( sK3 @ X0 @ sK4 )
!= $true )
| ( ( sK3 @ sK4 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl6_3 ),
inference(superposition,[status(thm)],[f362,f15]) ).
thf(f15,plain,
! [X11: a,X12: a,X13: a] :
( ( ( sK3 @ X11 @ X13 )
= $true )
| ( ( sK3 @ X11 @ X12 )
!= $true )
| ( ( sK3 @ X12 @ X13 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f362,plain,
( ( ( sK3 @ sK4 @ sK4 )
!= $true )
| ~ spl6_3 ),
inference(subsumption_resolution,[status(thm)],[f357,f16]) ).
thf(f357,plain,
( ( ( sK3 @ sK4 @ sK4 )
!= $true )
| ( ( sK3 @ sK5 @ sK4 )
!= $true )
| ~ spl6_3 ),
inference(trivial_inequality_removal,[status(thm)],[f356]) ).
thf(f356,plain,
( ( ( sK3 @ sK5 @ sK4 )
!= $true )
| ( $true != $true )
| ( ( sK3 @ sK4 @ sK4 )
!= $true )
| ~ spl6_3 ),
inference(duplicate_literal_removal,[status(thm)],[f350]) ).
thf(f350,plain,
( ( ( sK3 @ sK5 @ sK4 )
!= $true )
| ( ( sK3 @ sK4 @ sK4 )
!= $true )
| ( $true != $true )
| ( ( sK3 @ sK5 @ sK4 )
!= $true )
| ~ spl6_3 ),
inference(superposition,[status(thm)],[f71,f251]) ).
thf(f251,plain,
! [X0: a,X1: a] :
( ( ( sK0 @ X1 @ ( sK2 @ X0 ) @ ( sK1 @ X0 ) )
= $true )
| ( ( sK3 @ X0 @ X0 )
!= $true )
| ( ( sK3 @ X1 @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f233]) ).
thf(f233,plain,
! [X0: a,X1: a] :
( ( ( sK3 @ X0 @ X0 )
!= $true )
| ( ( sK3 @ X1 @ X0 )
!= $true )
| ( $false = $true )
| ( ( sK0 @ X1 @ ( sK2 @ X0 ) @ ( sK1 @ X0 ) )
= $true ) ),
inference(superposition,[status(thm)],[f19,f32]) ).
thf(f32,plain,
! [X16: b,X14: a,X17: b,X15: a] :
( ( $false
= ( sK0 @ X15 @ X16 @ X17 ) )
| ( ( sK0 @ X14 @ X16 @ X17 )
= $true )
| ( ( sK3 @ X14 @ X15 )
!= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f27]) ).
thf(f27,plain,
! [X16: b,X14: a,X17: b,X15: a] :
( ( ( sK0 @ X14 @ X16 @ X17 )
= ( sK0 @ X15 @ X16 @ X17 ) )
| ( ( sK3 @ X14 @ X15 )
!= $true ) ),
inference(argument_congruence,[status(thm)],[f22]) ).
thf(f22,plain,
! [X16: b,X14: a,X15: a] :
( ( ( sK0 @ X14 @ X16 )
= ( sK0 @ X15 @ X16 ) )
| ( ( sK3 @ X14 @ X15 )
!= $true ) ),
inference(argument_congruence,[status(thm)],[f14]) ).
thf(f14,plain,
! [X14: a,X15: a] :
( ( ( sK0 @ X14 )
= ( sK0 @ X15 ) )
| ( ( sK3 @ X14 @ X15 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f19,plain,
! [X8: a] :
( ( ( sK0 @ X8 @ ( sK2 @ X8 ) @ ( sK1 @ X8 ) )
= $true )
| ( ( sK3 @ X8 @ X8 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f71,plain,
( ! [X0: a] :
( ( ( sK0 @ sK5 @ ( sK2 @ X0 ) @ ( sK1 @ sK4 ) )
!= $true )
| ( ( sK3 @ sK5 @ X0 )
!= $true ) )
| ~ spl6_3 ),
inference(trivial_inequality_removal,[status(thm)],[f66]) ).
thf(f66,plain,
( ! [X0: a] :
( ( ( sK0 @ sK5 @ ( sK2 @ X0 ) @ ( sK1 @ sK4 ) )
!= $true )
| ( $true != $true )
| ( ( sK3 @ sK5 @ X0 )
!= $true ) )
| ~ spl6_3 ),
inference(superposition,[status(thm)],[f48,f21]) ).
thf(f21,plain,
! [X4: a,X5: a] :
( ( ( sK0 @ X5 @ ( sK2 @ X5 ) @ ( sK2 @ X4 ) )
= $true )
| ( ( sK3 @ X5 @ X4 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f48,plain,
( ! [X1: b] :
( ( ( sK0 @ sK5 @ ( sK2 @ sK5 ) @ X1 )
!= $true )
| ( ( sK0 @ sK5 @ X1 @ ( sK1 @ sK4 ) )
!= $true ) )
| ~ spl6_3 ),
inference(avatar_component_clause,[status(thm)],[f47]) ).
thf(f47,definition,
( spl6_3
<=> ! [X1: b] :
( ( ( sK0 @ sK5 @ X1 @ ( sK1 @ sK4 ) )
!= $true )
| ( ( sK0 @ sK5 @ ( sK2 @ sK5 ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl6_3])],[avatar_definition]) ).
thf(f54,plain,
~ spl6_1,
inference(avatar_contradiction_clause,[status(thm)],[f53]) ).
thf(f53,plain,
( $false
| ~ spl6_1 ),
inference(trivial_inequality_removal,[status(thm)],[f50]) ).
thf(f50,plain,
( ( $true != $true )
| ~ spl6_1 ),
inference(superposition,[status(thm)],[f38,f16]) ).
thf(f38,plain,
( ! [X0: a] :
( ( sK3 @ sK5 @ X0 )
!= $true )
| ~ spl6_1 ),
inference(avatar_component_clause,[status(thm)],[f37]) ).
thf(f37,definition,
( spl6_1
<=> ! [X0: a] :
( ( sK3 @ sK5 @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(naming,[spl6_1])],[avatar_definition]) ).
thf(f49,plain,
( spl6_3
| spl6_1 ),
inference(avatar_split_clause,[status(thm)],[f45,f37,f47]) ).
thf(f45,plain,
! [X0: a,X1: b] :
( ( ( sK0 @ sK5 @ X1 @ ( sK1 @ sK4 ) )
!= $true )
| ( ( sK3 @ sK5 @ X0 )
!= $true )
| ( ( sK0 @ sK5 @ ( sK2 @ sK5 ) @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f44]) ).
thf(f44,plain,
! [X0: a,X1: b] :
( ( ( sK0 @ sK5 @ X1 @ ( sK1 @ sK4 ) )
!= $true )
| ( ( sK0 @ sK5 @ ( sK2 @ sK5 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( sK3 @ sK5 @ X0 )
!= $true ) ),
inference(superposition,[status(thm)],[f17,f12]) ).
thf(f12,plain,
! [X18: b,X19: b,X14: a,X15: a,X20: b] :
( ( $true
= ( sK0 @ X14 @ X20 @ X19 ) )
| ( ( sK3 @ X14 @ X15 )
!= $true )
| ( ( sK0 @ X14 @ X20 @ X18 )
!= $true )
| ( ( sK0 @ X14 @ X18 @ X19 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f17,plain,
( ( sK0 @ sK5 @ ( sK2 @ sK5 ) @ ( sK1 @ sK4 ) )
!= $true ),
inference(cnf_transformation,[status(thm)],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV034^5 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.13/0.32 % Computer : n013.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue Feb 24 12:38:53 EST 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.32 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.41 ---- Original DTF file ---
% 0.15/0.41 thf(spec,logic,$$dhol).
% 0.15/0.41 %------------------------------------------------------------------------------
% 0.15/0.41 % File : SEV034^5 : TPTP v9.2.1. Released v4.0.0.
% 0.15/0.41 % Domain : Set Theory (Relations)
% 0.15/0.41 % Problem : TPS problem from EQUIVALENCE-RELATIONS-THMS
% 0.15/0.41 % Version : Especial.
% 0.15/0.41 % English :
% 0.15/0.41
% 0.15/0.41 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.15/0.41 % Source : [Bro09]
% 0.15/0.41 % Names : tps_1141 [Bro09]
% 0.15/0.41
% 0.15/0.41 % Status : Theorem
% 0.15/0.41 % Rating : 0.00 v7.4.0, 0.11 v7.2.0, 0.00 v7.1.0, 0.25 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.29 v5.5.0, 0.17 v5.4.0, 0.20 v5.1.0, 0.40 v5.0.0, 0.20 v4.1.0, 0.00 v4.0.1, 0.33 v4.0.0
% 0.15/0.41 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.15/0.41 % Number of atoms : 2 ( 2 equ; 0 cnn)
% 0.15/0.41 % Maximal formula atoms : 2 ( 2 avg)
% 0.15/0.41 % Number of connectives : 68 ( 0 ~; 0 |; 6 &; 50 @)
% 0.15/0.41 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 0.15/0.41 % Maximal formula depth : 22 ( 22 avg)
% 0.15/0.41 % Number of types : 3 ( 2 usr)
% 0.15/0.41 % Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% 0.15/0.41 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.15/0.41 % Number of variables : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% 0.15/0.41 % SPC : TH0_THM_EQU_NAR
% 0.15/0.41
% 0.15/0.41 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.15/0.41 % project in the Department of Mathematical Sciences at Carnegie
% 0.15/0.41 % Mellon University. Distributed under the Creative Commons copyleft
% 0.15/0.41 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.15/0.41 %------------------------------------------------------------------------------
% 0.15/0.41 thf(a_type,type,
% 0.15/0.41 a: $tType ).
% 0.15/0.41
% 0.15/0.41 thf(b_type,type,
% 0.15/0.41 b: $tType ).
% 0.15/0.41
% 0.15/0.41 thf(cTHM518_pme,conjecture,
% 0.15/0.41 ! [Xp: a > a > $o,Xq: a > b > b > $o,Xf: a > b,Xg: a > b] :
% 0.15/0.41 ( ! [Xx: a] :
% 0.15/0.41 ( ( Xp @ Xx @ Xx )
% 0.15/0.41 => ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xx ) ) )
% 0.15/0.41 => ( ! [Xx: a,Xy: a] :
% 0.15/0.41 ( ( Xp @ Xx @ Xy )
% 0.15/0.41 => ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
% 0.15/0.41 => ( ( ! [Xx: a,Xy: a] :
% 0.15/0.41 ( ( Xp @ Xx @ Xy )
% 0.15/0.41 => ( Xp @ Xy @ Xx ) )
% 0.15/0.41 & ! [Xx: a,Xy: a,Xz: a] :
% 0.15/0.41 ( ( ( Xp @ Xx @ Xy )
% 0.15/0.41 & ( Xp @ Xy @ Xz ) )
% 0.15/0.41 => ( Xp @ Xx @ Xz ) )
% 0.15/0.41 & ( Xp = Xp ) )
% 0.15/0.41 => ( ! [Xx: a,Xy: a] :
% 0.15/0.41 ( ( Xp @ Xx @ Xy )
% 0.15/0.41 => ( ! [Xx0: b,Xy0: b] :
% 0.15/0.41 ( ( Xq @ Xx @ Xx0 @ Xy0 )
% 0.15/0.41 => ( Xq @ Xx @ Xy0 @ Xx0 ) )
% 0.15/0.41 & ! [Xx0: b,Xy0: b,Xz: b] :
% 0.15/0.41 ( ( ( Xq @ Xx @ Xx0 @ Xy0 )
% 0.15/0.41 & ( Xq @ Xx @ Xy0 @ Xz ) )
% 0.15/0.41 => ( Xq @ Xx @ Xx0 @ Xz ) )
% 0.15/0.41 & ( ( Xq @ Xx )
% 0.15/0.41 = ( Xq @ Xy ) ) ) )
% 0.15/0.41 => ! [Xx: a,Xy: a] :
% 0.15/0.41 ( ( Xp @ Xx @ Xy )
% 0.15/0.41 => ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) ) ).
% 0.15/0.41
% 0.15/0.41 %------------------------------------------------------------------------------
% 0.15/0.41 ------------------------
% 1.29/1.20 ---- Embedded in THF ---
% 1.42/1.20 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.42/1.20 %%% Generated on Tue Feb 24 12:38:54 EST 2026
% 1.42/1.20 %%% using '$$dhol' embedding, version 1.3.0.
% 1.42/1.20 %%% Logic specification used:
% 1.42/1.20 %%% thf(spec, logic, $$dhol).
% 1.42/1.20
% 1.42/1.20 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.VBlchGzUsL/DTF2DTF29224.p
% See solution above
% 1.42/1.20 ------------------------
% 1.42/1.20 ---- Cleaned THF ---
% 1.42/1.20 thf(a_type,type,
% 1.42/1.20 a: $tType ).
% 1.42/1.20
% 1.42/1.20 thf(b_type,type,
% 1.42/1.20 b: $tType ).
% 1.42/1.20
% 1.42/1.20 thf(cTHM518_pme,conjecture,
% 1.42/1.20 ! [Xp: a > a > $o,Xq: a > b > b > $o,Xf: a > b,Xg: a > b] :
% 1.42/1.20 ( ! [Xx: a] :
% 1.42/1.20 ( ( Xp @ Xx @ Xx )
% 1.42/1.20 => ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xx ) ) )
% 1.42/1.20 => ( ! [Xx: a,Xy: a] :
% 1.42/1.20 ( ( Xp @ Xx @ Xy )
% 1.42/1.20 => ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
% 1.42/1.20 => ( ( ! [Xx: a,Xy: a] :
% 1.42/1.20 ( ( Xp @ Xx @ Xy )
% 1.42/1.20 => ( Xp @ Xy @ Xx ) )
% 1.42/1.20 & ! [Xx: a,Xy: a,Xz: a] :
% 1.42/1.20 ( ( ( Xp @ Xx @ Xy )
% 1.42/1.20 & ( Xp @ Xy @ Xz ) )
% 1.42/1.20 => ( Xp @ Xx @ Xz ) )
% 1.42/1.20 & ( Xp = Xp ) )
% 1.42/1.20 => ( ! [Xx: a,Xy: a] :
% 1.42/1.20 ( ( Xp @ Xx @ Xy )
% 1.42/1.20 => ( ! [Xx0: b,Xy0: b] :
% 1.42/1.20 ( ( Xq @ Xx @ Xx0 @ Xy0 )
% 1.42/1.20 => ( Xq @ Xx @ Xy0 @ Xx0 ) )
% 1.42/1.20 & ! [Xx0: b,Xy0: b,Xz: b] :
% 1.42/1.20 ( ( ( Xq @ Xx @ Xx0 @ Xy0 )
% 1.42/1.20 & ( Xq @ Xx @ Xy0 @ Xz ) )
% 1.42/1.20 => ( Xq @ Xx @ Xx0 @ Xz ) )
% 1.42/1.20 & ( ( Xq @ Xx )
% 1.42/1.20 = ( Xq @ Xy ) ) ) )
% 1.42/1.20 => ! [Xx: a,Xy: a] :
% 1.42/1.20 ( ( Xp @ Xx @ Xy )
% 1.42/1.20 => ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) ) ).
% 1.42/1.20 ------------------------
% 1.42/1.22 % (29327)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_29224 for (3000ds/183Mi)
% 1.42/1.22 % (29329)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_29224 for (3000ds/27Mi)
% 1.42/1.22 % (29330)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_29224 for (3000ds/2Mi)
% 1.42/1.22 % (29331)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_29224 for (3000ds/2Mi)
% 1.42/1.22 % (29328)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_29224 for (3000ds/4Mi)
% 1.42/1.22 % (29332)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_29224 for (3000ds/275Mi)
% 1.42/1.22 % (29333)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_29224 for (3000ds/18Mi)
% 1.42/1.22 % (29330)Instruction limit reached!
% 1.42/1.22 % (29330)------------------------------
% 1.42/1.22 % (29330)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.42/1.22 % (29330)Termination reason: Unknown
% 1.42/1.22 % (29330)Termination phase: Property scanning
% 1.42/1.22
% 1.42/1.22 % (29330)Memory used [KB]: 895
% 1.42/1.22 % (29330)Time elapsed: 0.002 s
% 1.42/1.22 % (29330)Instructions burned: 2 (million)
% 1.42/1.22 % (29330)------------------------------
% 1.42/1.22 % (29330)------------------------------
% 1.42/1.22 % (29331)Instruction limit reached!
% 1.42/1.22 % (29331)------------------------------
% 1.42/1.22 % (29331)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.42/1.22 % (29331)Termination reason: Unknown
% 1.42/1.22 % (29331)Termination phase: Property scanning
% 1.42/1.22
% 1.42/1.22 % (29331)Memory used [KB]: 1023
% 1.42/1.22 % (29331)Time elapsed: 0.003 s
% 1.42/1.22 % (29331)Instructions burned: 4 (million)
% 1.42/1.22 % (29331)------------------------------
% 1.42/1.22 % (29331)------------------------------
% 1.42/1.23 % (29328)Instruction limit reached!
% 1.42/1.23 % (29328)------------------------------
% 1.42/1.23 % (29328)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.42/1.23 % (29328)Termination reason: Unknown
% 1.42/1.23 % (29328)Termination phase: Saturation
% 1.42/1.23
% 1.42/1.23 % (29328)Memory used [KB]: 5500
% 1.42/1.23 % (29328)Time elapsed: 0.004 s
% 1.42/1.23 % (29328)Instructions burned: 5 (million)
% 1.42/1.23 % (29328)------------------------------
% 1.42/1.23 % (29328)------------------------------
% 1.42/1.23 % (29333)Instruction limit reached!
% 1.42/1.23 % (29333)------------------------------
% 1.42/1.23 % (29333)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.42/1.23 % (29333)Termination reason: Unknown
% 1.42/1.23 % (29333)Termination phase: Saturation
% 1.42/1.23
% 1.42/1.23 % (29333)Memory used [KB]: 5628
% 1.42/1.23 % (29333)Time elapsed: 0.011 s
% 1.42/1.23 % (29333)Instructions burned: 18 (million)
% 1.42/1.23 % (29333)------------------------------
% 1.42/1.23 % (29333)------------------------------
% 1.42/1.24 % (29329)Instruction limit reached!
% 1.42/1.24 % (29329)------------------------------
% 1.42/1.24 % (29329)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.42/1.24 % (29329)Termination reason: Unknown
% 1.42/1.24 % (29329)Termination phase: Saturation
% 1.42/1.24
% 1.42/1.24 % (29329)Memory used [KB]: 5628
% 1.42/1.24 % (29329)Time elapsed: 0.017 s
% 1.42/1.24 % (29329)Instructions burned: 28 (million)
% 1.42/1.24 % (29329)------------------------------
% 1.42/1.24 % (29329)------------------------------
% 1.42/1.24 % (29334)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_29224 for (2999ds/3Mi)
% 1.42/1.24 % (29335)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_29224 for (2999ds/37Mi)
% 1.42/1.24 % (29334)Instruction limit reached!
% 1.42/1.24 % (29334)------------------------------
% 1.42/1.24 % (29334)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.42/1.24 % (29334)Termination reason: Unknown
% 1.42/1.24 % (29334)Termination phase: Saturation
% 1.42/1.24
% 1.42/1.24 % (29334)Memory used [KB]: 5500
% 1.42/1.24 % (29334)Time elapsed: 0.003 s
% 1.42/1.24 % (29334)Instructions burned: 3 (million)
% 1.42/1.24 % (29334)------------------------------
% 1.42/1.24 % (29334)------------------------------
% 1.42/1.24 % (29336)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_29224 for (2999ds/15Mi)
% 1.42/1.25 % (29337)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_29224 for (2999ds/3Mi)
% 1.42/1.25 % (29337)Instruction limit reached!
% 1.42/1.25 % (29337)------------------------------
% 1.42/1.25 % (29337)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.42/1.25 % (29337)Termination reason: Unknown
% 1.42/1.25 % (29337)Termination phase: Saturation
% 1.42/1.25
% 1.42/1.25 % (29337)Memory used [KB]: 5500
% 1.42/1.25 % (29337)Time elapsed: 0.003 s
% 1.42/1.25 % (29337)Instructions burned: 3 (million)
% 1.42/1.25 % (29337)------------------------------
% 1.42/1.25 % (29337)------------------------------
% 1.42/1.25 % (29336)Instruction limit reached!
% 1.42/1.25 % (29336)------------------------------
% 1.42/1.25 % (29336)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.42/1.25 % (29336)Termination reason: Unknown
% 1.42/1.25 % (29336)Termination phase: Saturation
% 1.42/1.25
% 1.42/1.25 % (29336)Memory used [KB]: 5628
% 1.42/1.25 % (29336)Time elapsed: 0.010 s
% 1.42/1.25 % (29336)Instructions burned: 16 (million)
% 1.42/1.25 % (29336)------------------------------
% 1.42/1.25 % (29336)------------------------------
% 1.42/1.26 % (29338)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_29224 for (2999ds/1041Mi)
% 1.42/1.26 % (29339)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_29224 for (2999ds/7Mi)
% 1.42/1.26 % (29335)Instruction limit reached!
% 1.42/1.26 % (29335)------------------------------
% 1.42/1.26 % (29335)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.42/1.26 % (29335)Termination reason: Unknown
% 1.42/1.26 % (29335)Termination phase: Saturation
% 1.42/1.26
% 1.42/1.26 % (29335)Memory used [KB]: 5756
% 1.42/1.26 % (29335)Time elapsed: 0.020 s
% 1.42/1.26 % (29335)Instructions burned: 38 (million)
% 1.42/1.26 % (29335)------------------------------
% 1.42/1.26 % (29335)------------------------------
% 1.42/1.26 % (29339)Instruction limit reached!
% 1.42/1.26 % (29339)------------------------------
% 1.42/1.26 % (29339)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.42/1.26 % (29339)Termination reason: Unknown
% 1.42/1.26 % (29339)Termination phase: Saturation
% 1.42/1.26
% 1.42/1.26 % (29339)Memory used [KB]: 1023
% 1.42/1.26 % (29339)Time elapsed: 0.005 s
% 1.42/1.26 % (29339)Instructions burned: 7 (million)
% 1.42/1.26 % (29339)------------------------------
% 1.42/1.26 % (29339)------------------------------
% 1.42/1.26 % (29327)First to succeed.
% 1.42/1.27 % (29327)Refutation found. Thanks to Tanya!
% 1.42/1.27 % SZS status Theorem for DTF2THF_29224
% 1.42/1.27 % SZS output start Proof for DTF2THF_29224
% 1.42/1.27 thf(type_def_5, type, a: $tType).
% 1.42/1.27 thf(type_def_7, type, b: $tType).
% 1.42/1.27 thf(func_def_0, type, a: $tType).
% 1.42/1.27 thf(func_def_1, type, b: $tType).
% 1.42/1.27 thf(func_def_5, type, sK0: a > b > b > $o).
% 1.42/1.27 thf(func_def_6, type, sK1: a > b).
% 1.42/1.27 thf(func_def_7, type, sK2: a > b).
% 1.42/1.27 thf(func_def_8, type, sK3: a > a > $o).
% 1.42/1.27 thf(func_def_9, type, sK4: a).
% 1.42/1.27 thf(func_def_10, type, sK5: a).
% 1.42/1.27 thf(func_def_12, type, ph7: !>[X0: $tType]:(X0)).
% 1.42/1.27 thf(f404,plain,(
% 1.42/1.27 $false),
% 1.42/1.27 inference(avatar_sat_refutation,[status(thm)],[f49,f54,f403])).
% 1.42/1.27 thf(f403,plain,(
% 1.42/1.27 ~spl6_3),
% 1.42/1.27 inference(avatar_contradiction_clause,[status(thm)],[f402])).
% 1.42/1.27 thf(f402,plain,(
% 1.42/1.27 $false | ~spl6_3),
% 1.42/1.27 inference(trivial_inequality_removal,[status(thm)],[f397])).
% 1.42/1.27 thf(f397,plain,(
% 1.42/1.27 ($true != $true) | ~spl6_3),
% 1.42/1.27 inference(superposition,[status(thm)],[f367,f16])).
% 1.42/1.27 thf(f16,plain,(
% 1.42/1.27 ((sK3 @ sK5 @ sK4) = $true)),
% 1.42/1.27 inference(cnf_transformation,[status(thm)],[f11])).
% 1.42/1.27 thf(f11,plain,(
% 1.42/1.27 ! [X4 : a,X5 : a] : (((sK3 @ X5 @ X4) != $true) | ((sK0 @ X5 @ (sK2 @ X5) @ (sK2 @ X4)) = $true)) & ! [X6 : a,X7 : a] : (((sK3 @ X7 @ X6) = $true) | ((sK3 @ X6 @ X7) != $true)) & ! [X8 : a] : (((sK0 @ X8 @ (sK2 @ X8) @ (sK1 @ X8)) = $true) | ((sK3 @ X8 @ X8) != $true)) & (sK3 = sK3) & (((sK0 @ sK5 @ (sK2 @ sK5) @ (sK1 @ sK4)) != $true) & ((sK3 @ sK5 @ sK4) = $true)) & ! [X11 : a,X12 : a,X13 : a] : (((sK3 @ X12 @ X13) != $true) | ((sK3 @ X11 @ X12) != $true) | ((sK3 @ X11 @ X13) = $true)) & ! [X14 : a,X15 : a] : (((sK3 @ X14 @ X15) != $true) | (((sK0 @ X14) = (sK0 @ X15)) & ! [X16 : b,X17 : b] : (((sK0 @ X14 @ X17 @ X16) = $true) | ((sK0 @ X14 @ X16 @ X17) != $true)) & ! [X18 : b,X19 : b,X20 : b] : (((sK0 @ X14 @ X20 @ X18) != $true) | ($true = (sK0 @ X14 @ X20 @ X19)) | ((sK0 @ X14 @ X18 @ X19) != $true))))),
% 1.42/1.27 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f8,f10,f9])).
% 1.42/1.27 thf(f9,plain,(
% 1.42/1.27 ? [X0 : a > b > b > $o,X1 : a > b,X2 : a > b,X3 : a > a > $o] : (! [X4 : a,X5 : a] : (((X3 @ X5 @ X4) != $true) | ((X0 @ X5 @ (X2 @ X5) @ (X2 @ X4)) = $true)) & ! [X6 : a,X7 : a] : (((X3 @ X7 @ X6) = $true) | ((X3 @ X6 @ X7) != $true)) & ! [X8 : a] : (((X0 @ X8 @ (X2 @ X8) @ (X1 @ X8)) = $true) | ((X3 @ X8 @ X8) != $true)) & (X3 = X3) & ? [X9 : a,X10 : a] : (((X0 @ X10 @ (X2 @ X10) @ (X1 @ X9)) != $true) & ((X3 @ X10 @ X9) = $true)) & ! [X11 : a,X12 : a,X13 : a] : (((X3 @ X12 @ X13) != $true) | ((X3 @ X11 @ X12) != $true) | ((X3 @ X11 @ X13) = $true)) & ! [X14 : a,X15 : a] : (((X3 @ X14 @ X15) != $true) | (((X0 @ X15) = (X0 @ X14)) & ! [X16 : b,X17 : b] : (((X0 @ X14 @ X17 @ X16) = $true) | ((X0 @ X14 @ X16 @ X17) != $true)) & ! [X18 : b,X19 : b,X20 : b] : (((X0 @ X14 @ X20 @ X18) != $true) | ((X0 @ X14 @ X20 @ X19) = $true) | ((X0 @ X14 @ X18 @ X19) != $true))))) => (! [X5 : a,X4 : a] : (((sK3 @ X5 @ X4) != $true) | ((sK0 @ X5 @ (sK2 @ X5) @ (sK2 @ X4)) = $true)) & ! [X7 : a,X6 : a] : (((sK3 @ X7 @ X6) = $true) | ((sK3 @ X6 @ X7) != $true)) & ! [X8 : a] : (((sK0 @ X8 @ (sK2 @ X8) @ (sK1 @ X8)) = $true) | ((sK3 @ X8 @ X8) != $true)) & (sK3 = sK3) & ? [X10 : a,X9 : a] : (((sK0 @ X10 @ (sK2 @ X10) @ (sK1 @ X9)) != $true) & ((sK3 @ X10 @ X9) = $true)) & ! [X13 : a,X12 : a,X11 : a] : (((sK3 @ X12 @ X13) != $true) | ((sK3 @ X11 @ X12) != $true) | ((sK3 @ X11 @ X13) = $true)) & ! [X15 : a,X14 : a] : (((sK3 @ X14 @ X15) != $true) | (((sK0 @ X14) = (sK0 @ X15)) & ! [X17 : b,X16 : b] : (((sK0 @ X14 @ X17 @ X16) = $true) | ((sK0 @ X14 @ X16 @ X17) != $true)) & ! [X20 : b,X19 : b,X18 : b] : (((sK0 @ X14 @ X20 @ X18) != $true) | ($true = (sK0 @ X14 @ X20 @ X19)) | ((sK0 @ X14 @ X18 @ X19) != $true)))))),
% 1.42/1.27 introduced(definition,[],[choice_axiom])).
% 1.42/1.27 thf(f10,plain,(
% 1.42/1.27 ? [X10 : a,X9 : a] : (((sK0 @ X10 @ (sK2 @ X10) @ (sK1 @ X9)) != $true) & ((sK3 @ X10 @ X9) = $true)) => (((sK0 @ sK5 @ (sK2 @ sK5) @ (sK1 @ sK4)) != $true) & ((sK3 @ sK5 @ sK4) = $true))),
% 1.42/1.27 introduced(definition,[],[choice_axiom])).
% 1.42/1.27 thf(f8,plain,(
% 1.42/1.27 ? [X0 : a > b > b > $o,X1 : a > b,X2 : a > b,X3 : a > a > $o] : (! [X4 : a,X5 : a] : (((X3 @ X5 @ X4) != $true) | ((X0 @ X5 @ (X2 @ X5) @ (X2 @ X4)) = $true)) & ! [X6 : a,X7 : a] : (((X3 @ X7 @ X6) = $true) | ((X3 @ X6 @ X7) != $true)) & ! [X8 : a] : (((X0 @ X8 @ (X2 @ X8) @ (X1 @ X8)) = $true) | ((X3 @ X8 @ X8) != $true)) & (X3 = X3) & ? [X9 : a,X10 : a] : (((X0 @ X10 @ (X2 @ X10) @ (X1 @ X9)) != $true) & ((X3 @ X10 @ X9) = $true)) & ! [X11 : a,X12 : a,X13 : a] : (((X3 @ X12 @ X13) != $true) | ((X3 @ X11 @ X12) != $true) | ((X3 @ X11 @ X13) = $true)) & ! [X14 : a,X15 : a] : (((X3 @ X14 @ X15) != $true) | (((X0 @ X15) = (X0 @ X14)) & ! [X16 : b,X17 : b] : (((X0 @ X14 @ X17 @ X16) = $true) | ((X0 @ X14 @ X16 @ X17) != $true)) & ! [X18 : b,X19 : b,X20 : b] : (((X0 @ X14 @ X20 @ X18) != $true) | ((X0 @ X14 @ X20 @ X19) = $true) | ((X0 @ X14 @ X18 @ X19) != $true)))))),
% 1.42/1.27 inference(rectify,[status(thm)],[f7])).
% 1.42/1.27 thf(f7,plain,(
% 1.42/1.27 ? [X0 : a > b > b > $o,X2 : a > b,X3 : a > b,X1 : a > a > $o] : (! [X5 : a,X6 : a] : (((X1 @ X6 @ X5) != $true) | ((X0 @ X6 @ (X3 @ X6) @ (X3 @ X5)) = $true)) & ! [X8 : a,X7 : a] : (($true = (X1 @ X7 @ X8)) | ((X1 @ X8 @ X7) != $true)) & ! [X4 : a] : (((X0 @ X4 @ (X3 @ X4) @ (X2 @ X4)) = $true) | ((X1 @ X4 @ X4) != $true)) & (X1 = X1) & ? [X19 : a,X20 : a] : (((X0 @ X20 @ (X3 @ X20) @ (X2 @ X19)) != $true) & ((X1 @ X20 @ X19) = $true)) & ! [X9 : a,X10 : a,X11 : a] : (((X1 @ X10 @ X11) != $true) | ((X1 @ X9 @ X10) != $true) | ((X1 @ X9 @ X11) = $true)) & ! [X13 : a,X12 : a] : (((X1 @ X13 @ X12) != $true) | (((X0 @ X12) = (X0 @ X13)) & ! [X18 : b,X17 : b] : (((X0 @ X13 @ X17 @ X18) = $true) | ((X0 @ X13 @ X18 @ X17) != $true)) & ! [X16 : b,X14 : b,X15 : b] : (((X0 @ X13 @ X15 @ X16) != $true) | ((X0 @ X13 @ X15 @ X14) = $true) | ((X0 @ X13 @ X16 @ X14) != $true)))))),
% 1.42/1.27 inference(flattening,[status(thm)],[f6])).
% 1.42/1.27 thf(f6,plain,(
% 1.42/1.27 ? [X1 : a > a > $o,X2 : a > b,X3 : a > b,X0 : a > b > b > $o] : ((((? [X19 : a,X20 : a] : (((X0 @ X20 @ (X3 @ X20) @ (X2 @ X19)) != $true) & ((X1 @ X20 @ X19) = $true)) & ! [X12 : a,X13 : a] : ((((X0 @ X12) = (X0 @ X13)) & ! [X14 : b,X15 : b,X16 : b] : (((X0 @ X13 @ X15 @ X14) = $true) | (((X0 @ X13 @ X15 @ X16) != $true) | ((X0 @ X13 @ X16 @ X14) != $true))) & ! [X18 : b,X17 : b] : (((X0 @ X13 @ X17 @ X18) = $true) | ((X0 @ X13 @ X18 @ X17) != $true))) | ((X1 @ X13 @ X12) != $true))) & (! [X11 : a,X10 : a,X9 : a] : (((X1 @ X9 @ X11) = $true) | (((X1 @ X9 @ X10) != $true) | ((X1 @ X10 @ X11) != $true))) & ! [X8 : a,X7 : a] : (($true = (X1 @ X7 @ X8)) | ((X1 @ X8 @ X7) != $true)) & (X1 = X1))) & ! [X5 : a,X6 : a] : (((X1 @ X6 @ X5) != $true) | ((X0 @ X6 @ (X3 @ X6) @ (X3 @ X5)) = $true))) & ! [X4 : a] : (((X0 @ X4 @ (X3 @ X4) @ (X2 @ X4)) = $true) | ((X1 @ X4 @ X4) != $true)))),
% 1.42/1.27 inference(ennf_transformation,[status(thm)],[f5])).
% 1.42/1.27 thf(f5,plain,(
% 1.42/1.27 ~! [X1 : a > a > $o,X2 : a > b,X3 : a > b,X0 : a > b > b > $o] : (! [X4 : a] : (((X1 @ X4 @ X4) = $true) => ((X0 @ X4 @ (X3 @ X4) @ (X2 @ X4)) = $true)) => (! [X5 : a,X6 : a] : (((X1 @ X6 @ X5) = $true) => ((X0 @ X6 @ (X3 @ X6) @ (X3 @ X5)) = $true)) => ((! [X11 : a,X10 : a,X9 : a] : ((((X1 @ X9 @ X10) = $true) & ((X1 @ X10 @ X11) = $true)) => ((X1 @ X9 @ X11) = $true)) & ! [X8 : a,X7 : a] : (((X1 @ X8 @ X7) = $true) => ($true = (X1 @ X7 @ X8))) & (X1 = X1)) => (! [X12 : a,X13 : a] : (((X1 @ X13 @ X12) = $true) => (((X0 @ X12) = (X0 @ X13)) & ! [X14 : b,X15 : b,X16 : b] : ((((X0 @ X13 @ X15 @ X16) = $true) & ((X0 @ X13 @ X16 @ X14) = $true)) => ((X0 @ X13 @ X15 @ X14) = $true)) & ! [X18 : b,X17 : b] : (((X0 @ X13 @ X18 @ X17) = $true) => ((X0 @ X13 @ X17 @ X18) = $true)))) => ! [X19 : a,X20 : a] : (((X1 @ X20 @ X19) = $true) => ((X0 @ X20 @ (X3 @ X20) @ (X2 @ X19)) = $true))))))),
% 1.42/1.27 inference(fool_elimination,[status(thm)],[f4])).
% 1.42/1.27 thf(f4,plain,(
% 1.42/1.27 ~! [X0 : a > b > b > $o,X1 : a > a > $o,X2 : a > b,X3 : a > b] : (! [X4 : a] : ((X1 @ X4 @ X4) => (X0 @ X4 @ (X3 @ X4) @ (X2 @ X4))) => (! [X5 : a,X6 : a] : ((X1 @ X6 @ X5) => (X0 @ X6 @ (X3 @ X6) @ (X3 @ X5))) => ((! [X7 : a,X8 : a] : ((X1 @ X8 @ X7) => (X1 @ X7 @ X8)) & (X1 = X1) & ! [X9 : a,X10 : a,X11 : a] : (((X1 @ X10 @ X11) & (X1 @ X9 @ X10)) => (X1 @ X9 @ X11))) => (! [X12 : a,X13 : a] : ((X1 @ X13 @ X12) => (! [X14 : b,X15 : b,X16 : b] : (((X0 @ X13 @ X15 @ X16) & (X0 @ X13 @ X16 @ X14)) => (X0 @ X13 @ X15 @ X14)) & ! [X17 : b,X18 : b] : ((X0 @ X13 @ X18 @ X17) => (X0 @ X13 @ X17 @ X18)) & ((X0 @ X12) = (X0 @ X13)))) => ! [X19 : a,X20 : a] : ((X1 @ X20 @ X19) => (X0 @ X20 @ (X3 @ X20) @ (X2 @ X19)))))))),
% 1.42/1.27 inference(rectify,[status(thm)],[f2])).
% 1.42/1.27 thf(f2,negated_conjecture,(
% 1.42/1.27 ~! [X1 : a > b > b > $o,X0 : a > a > $o,X3 : a > b,X2 : a > b] : (! [X4 : a] : ((X0 @ X4 @ X4) => (X1 @ X4 @ (X2 @ X4) @ (X3 @ X4))) => (! [X5 : a,X4 : a] : ((X0 @ X4 @ X5) => (X1 @ X4 @ (X2 @ X4) @ (X2 @ X5))) => ((! [X5 : a,X4 : a] : ((X0 @ X4 @ X5) => (X0 @ X5 @ X4)) & (X0 = X0) & ! [X4 : a,X5 : a,X6 : a] : (((X0 @ X5 @ X6) & (X0 @ X4 @ X5)) => (X0 @ X4 @ X6))) => (! [X5 : a,X4 : a] : ((X0 @ X4 @ X5) => (! [X6 : b,X7 : b,X8 : b] : (((X1 @ X4 @ X7 @ X8) & (X1 @ X4 @ X8 @ X6)) => (X1 @ X4 @ X7 @ X6)) & ! [X8 : b,X7 : b] : ((X1 @ X4 @ X7 @ X8) => (X1 @ X4 @ X8 @ X7)) & ((X1 @ X4) = (X1 @ X5)))) => ! [X5 : a,X4 : a] : ((X0 @ X4 @ X5) => (X1 @ X4 @ (X2 @ X4) @ (X3 @ X5)))))))),
% 1.42/1.27 inference(negated_conjecture,[status(cth)],[f1])).
% 1.42/1.27 thf(f1,conjecture,(
% 1.42/1.27 ! [X1 : a > b > b > $o,X0 : a > a > $o,X3 : a > b,X2 : a > b] : (! [X4 : a] : ((X0 @ X4 @ X4) => (X1 @ X4 @ (X2 @ X4) @ (X3 @ X4))) => (! [X5 : a,X4 : a] : ((X0 @ X4 @ X5) => (X1 @ X4 @ (X2 @ X4) @ (X2 @ X5))) => ((! [X5 : a,X4 : a] : ((X0 @ X4 @ X5) => (X0 @ X5 @ X4)) & (X0 = X0) & ! [X4 : a,X5 : a,X6 : a] : (((X0 @ X5 @ X6) & (X0 @ X4 @ X5)) => (X0 @ X4 @ X6))) => (! [X5 : a,X4 : a] : ((X0 @ X4 @ X5) => (! [X6 : b,X7 : b,X8 : b] : (((X1 @ X4 @ X7 @ X8) & (X1 @ X4 @ X8 @ X6)) => (X1 @ X4 @ X7 @ X6)) & ! [X8 : b,X7 : b] : ((X1 @ X4 @ X7 @ X8) => (X1 @ X4 @ X8 @ X7)) & ((X1 @ X4) = (X1 @ X5)))) => ! [X5 : a,X4 : a] : ((X0 @ X4 @ X5) => (X1 @ X4 @ (X2 @ X4) @ (X3 @ X5)))))))),
% 1.42/1.27 file('/export/starexec/sandbox/tmp/tmp.VBlchGzUsL/DTF2THF_29224.p',cTHM518_pme)).
% 1.42/1.27 thf(f367,plain,(
% 1.42/1.27 ( ! [X0 : a] : (((sK3 @ X0 @ sK4) != $true)) ) | ~spl6_3),
% 1.42/1.27 inference(subsumption_resolution,[status(thm)],[f365,f20])).
% 1.42/1.27 thf(f20,plain,(
% 1.42/1.27 ( ! [X6 : a,X7 : a] : (((sK3 @ X7 @ X6) = $true) | ((sK3 @ X6 @ X7) != $true)) )),
% 1.42/1.27 inference(cnf_transformation,[status(thm)],[f11])).
% 1.42/1.27 thf(f365,plain,(
% 1.42/1.27 ( ! [X0 : a] : (((sK3 @ sK4 @ X0) != $true) | ((sK3 @ X0 @ sK4) != $true)) ) | ~spl6_3),
% 1.42/1.27 inference(trivial_inequality_removal,[status(thm)],[f363])).
% 1.42/1.27 thf(f363,plain,(
% 1.42/1.27 ( ! [X0 : a] : (((sK3 @ X0 @ sK4) != $true) | ((sK3 @ sK4 @ X0) != $true) | ($true != $true)) ) | ~spl6_3),
% 1.42/1.27 inference(superposition,[status(thm)],[f362,f15])).
% 1.42/1.27 thf(f15,plain,(
% 1.42/1.27 ( ! [X11 : a,X12 : a,X13 : a] : (((sK3 @ X11 @ X13) = $true) | ((sK3 @ X11 @ X12) != $true) | ((sK3 @ X12 @ X13) != $true)) )),
% 1.42/1.27 inference(cnf_transformation,[status(thm)],[f11])).
% 1.42/1.27 thf(f362,plain,(
% 1.42/1.27 ((sK3 @ sK4 @ sK4) != $true) | ~spl6_3),
% 1.42/1.27 inference(subsumption_resolution,[status(thm)],[f357,f16])).
% 1.42/1.27 thf(f357,plain,(
% 1.42/1.27 ((sK3 @ sK4 @ sK4) != $true) | ((sK3 @ sK5 @ sK4) != $true) | ~spl6_3),
% 1.42/1.27 inference(trivial_inequality_removal,[status(thm)],[f356])).
% 1.42/1.27 thf(f356,plain,(
% 1.42/1.27 ((sK3 @ sK5 @ sK4) != $true) | ($true != $true) | ((sK3 @ sK4 @ sK4) != $true) | ~spl6_3),
% 1.42/1.27 inference(duplicate_literal_removal,[status(thm)],[f350])).
% 1.42/1.27 thf(f350,plain,(
% 1.42/1.27 ((sK3 @ sK5 @ sK4) != $true) | ((sK3 @ sK4 @ sK4) != $true) | ($true != $true) | ((sK3 @ sK5 @ sK4) != $true) | ~spl6_3),
% 1.42/1.27 inference(superposition,[status(thm)],[f71,f251])).
% 1.42/1.27 thf(f251,plain,(
% 1.42/1.27 ( ! [X0 : a,X1 : a] : (((sK0 @ X1 @ (sK2 @ X0) @ (sK1 @ X0)) = $true) | ((sK3 @ X0 @ X0) != $true) | ((sK3 @ X1 @ X0) != $true)) )),
% 1.42/1.27 inference(trivial_inequality_removal,[status(thm)],[f233])).
% 1.42/1.27 thf(f233,plain,(
% 1.42/1.27 ( ! [X0 : a,X1 : a] : (((sK3 @ X0 @ X0) != $true) | ((sK3 @ X1 @ X0) != $true) | ($false = $true) | ((sK0 @ X1 @ (sK2 @ X0) @ (sK1 @ X0)) = $true)) )),
% 1.42/1.27 inference(superposition,[status(thm)],[f19,f32])).
% 1.42/1.27 thf(f32,plain,(
% 1.42/1.27 ( ! [X16 : b,X14 : a,X17 : b,X15 : a] : (($false = (sK0 @ X15 @ X16 @ X17)) | ((sK0 @ X14 @ X16 @ X17) = $true) | ((sK3 @ X14 @ X15) != $true)) )),
% 1.42/1.27 inference(binary_proxy_clausification,[status(thm)],[f27])).
% 1.42/1.27 thf(f27,plain,(
% 1.42/1.27 ( ! [X16 : b,X14 : a,X17 : b,X15 : a] : (((sK0 @ X14 @ X16 @ X17) = (sK0 @ X15 @ X16 @ X17)) | ((sK3 @ X14 @ X15) != $true)) )),
% 1.42/1.27 inference(argument_congruence,[status(thm)],[f22])).
% 1.42/1.27 thf(f22,plain,(
% 1.42/1.27 ( ! [X16 : b,X14 : a,X15 : a] : (((sK0 @ X14 @ X16) = (sK0 @ X15 @ X16)) | ((sK3 @ X14 @ X15) != $true)) )),
% 1.42/1.27 inference(argument_congruence,[status(thm)],[f14])).
% 1.42/1.27 thf(f14,plain,(
% 1.42/1.27 ( ! [X14 : a,X15 : a] : (((sK0 @ X14) = (sK0 @ X15)) | ((sK3 @ X14 @ X15) != $true)) )),
% 1.42/1.27 inference(cnf_transformation,[status(thm)],[f11])).
% 1.42/1.27 thf(f19,plain,(
% 1.42/1.27 ( ! [X8 : a] : (((sK0 @ X8 @ (sK2 @ X8) @ (sK1 @ X8)) = $true) | ((sK3 @ X8 @ X8) != $true)) )),
% 1.42/1.27 inference(cnf_transformation,[status(thm)],[f11])).
% 1.42/1.27 thf(f71,plain,(
% 1.42/1.27 ( ! [X0 : a] : (((sK0 @ sK5 @ (sK2 @ X0) @ (sK1 @ sK4)) != $true) | ((sK3 @ sK5 @ X0) != $true)) ) | ~spl6_3),
% 1.42/1.27 inference(trivial_inequality_removal,[status(thm)],[f66])).
% 1.42/1.27 thf(f66,plain,(
% 1.42/1.27 ( ! [X0 : a] : (((sK0 @ sK5 @ (sK2 @ X0) @ (sK1 @ sK4)) != $true) | ($true != $true) | ((sK3 @ sK5 @ X0) != $true)) ) | ~spl6_3),
% 1.42/1.27 inference(superposition,[status(thm)],[f48,f21])).
% 1.42/1.27 thf(f21,plain,(
% 1.42/1.27 ( ! [X4 : a,X5 : a] : (((sK0 @ X5 @ (sK2 @ X5) @ (sK2 @ X4)) = $true) | ((sK3 @ X5 @ X4) != $true)) )),
% 1.42/1.27 inference(cnf_transformation,[status(thm)],[f11])).
% 1.42/1.27 thf(f48,plain,(
% 1.42/1.27 ( ! [X1 : b] : (((sK0 @ sK5 @ (sK2 @ sK5) @ X1) != $true) | ((sK0 @ sK5 @ X1 @ (sK1 @ sK4)) != $true)) ) | ~spl6_3),
% 1.42/1.27 inference(avatar_component_clause,[status(thm)],[f47])).
% 1.42/1.27 thf(f47,definition,(
% 1.42/1.27 spl6_3 <=> ! [X1 : b] : (((sK0 @ sK5 @ X1 @ (sK1 @ sK4)) != $true) | ((sK0 @ sK5 @ (sK2 @ sK5) @ X1) != $true))),
% 1.42/1.27 introduced(definition,[new_symbols(naming,[spl6_3])],[avatar_definition])).
% 1.42/1.27 thf(f54,plain,(
% 1.42/1.27 ~spl6_1),
% 1.42/1.27 inference(avatar_contradiction_clause,[status(thm)],[f53])).
% 1.42/1.27 thf(f53,plain,(
% 1.42/1.27 $false | ~spl6_1),
% 1.42/1.27 inference(trivial_inequality_removal,[status(thm)],[f50])).
% 1.42/1.27 thf(f50,plain,(
% 1.42/1.27 ($true != $true) | ~spl6_1),
% 1.42/1.27 inference(superposition,[status(thm)],[f38,f16])).
% 1.42/1.27 thf(f38,plain,(
% 1.42/1.27 ( ! [X0 : a] : (((sK3 @ sK5 @ X0) != $true)) ) | ~spl6_1),
% 1.42/1.27 inference(avatar_component_clause,[status(thm)],[f37])).
% 1.42/1.27 thf(f37,definition,(
% 1.42/1.27 spl6_1 <=> ! [X0 : a] : ((sK3 @ sK5 @ X0) != $true)),
% 1.42/1.27 introduced(definition,[new_symbols(naming,[spl6_1])],[avatar_definition])).
% 1.42/1.27 thf(f49,plain,(
% 1.42/1.27 spl6_3 | spl6_1),
% 1.42/1.27 inference(avatar_split_clause,[status(thm)],[f45,f37,f47])).
% 1.42/1.27 thf(f45,plain,(
% 1.42/1.27 ( ! [X0 : a,X1 : b] : (((sK0 @ sK5 @ X1 @ (sK1 @ sK4)) != $true) | ((sK3 @ sK5 @ X0) != $true) | ((sK0 @ sK5 @ (sK2 @ sK5) @ X1) != $true)) )),
% 1.42/1.27 inference(trivial_inequality_removal,[status(thm)],[f44])).
% 1.42/1.27 thf(f44,plain,(
% 1.42/1.27 ( ! [X0 : a,X1 : b] : (((sK0 @ sK5 @ X1 @ (sK1 @ sK4)) != $true) | ((sK0 @ sK5 @ (sK2 @ sK5) @ X1) != $true) | ($true != $true) | ((sK3 @ sK5 @ X0) != $true)) )),
% 1.42/1.27 inference(superposition,[status(thm)],[f17,f12])).
% 1.42/1.27 thf(f12,plain,(
% 1.42/1.27 ( ! [X18 : b,X19 : b,X14 : a,X15 : a,X20 : b] : (($true = (sK0 @ X14 @ X20 @ X19)) | ((sK3 @ X14 @ X15) != $true) | ((sK0 @ X14 @ X20 @ X18) != $true) | ((sK0 @ X14 @ X18 @ X19) != $true)) )),
% 1.42/1.27 inference(cnf_transformation,[status(thm)],[f11])).
% 1.42/1.27 thf(f17,plain,(
% 1.42/1.27 ((sK0 @ sK5 @ (sK2 @ sK5) @ (sK1 @ sK4)) != $true)),
% 1.42/1.27 inference(cnf_transformation,[status(thm)],[f11])).
% 1.42/1.27 % SZS output end Proof for DTF2THF_29224
% 1.42/1.27 % (29327)------------------------------
% 1.42/1.27 % (29327)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.42/1.27 % (29327)Termination reason: Refutation
% 1.42/1.27
% 1.42/1.27 % (29327)Memory used [KB]: 6012
% 1.42/1.27 % (29327)Time elapsed: 0.049 s
% 1.42/1.27 % (29327)Instructions burned: 159 (million)
% 1.42/1.27 % (29327)------------------------------
% 1.42/1.27 % (29327)------------------------------
% 1.42/1.27 % (29326)Success in time 0.051 s
%------------------------------------------------------------------------------