%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO213^5 : 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 : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:53:41 AM UTC 2026
% Result : Theorem 1.26s 1.18s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 1
% Syntax : Number of formulae : 39 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 211 ( 79 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 415 ( 57 ~; 21 |; 0 &; 294 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 91 ( 91 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 2 usr; 4 con; 0-2 aty)
% ( 16 !!; 12 ??; 0 @@+; 0 @@-)
% Number of variables : 135 ( 83 ^; 46 !; 6 ?; 135 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_15,type,
sK1: a > a > $o ).
thf(func_def_16,type,
sK2: ( a > $o ) > a ).
thf(f86,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f85]) ).
thf(f85,plain,
$false = $true,
inference(forward_demodulation,[status(thm)],[f84,f79]) ).
thf(f79,plain,
( $false
= ( sK1
@ ( sK2
@ ^ [Y0: a] :
~ ( sK1 @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: a] :
~ ( sK1 @ Y0 @ Y0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f77]) ).
thf(f77,plain,
( $false
= ( sK1
@ ( sK2
@ ^ [Y0: a] :
~ ( sK1 @ Y0
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) )
@ ( ^ [Y0: a] : Y0
@ ( sK2
@ ^ [Y0: a] :
~ ( sK1 @ Y0
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) ) ) ),
inference(equality_resolution,[status(thm)],[f71]) ).
thf(f71,plain,
! [X0: a > a] :
( ( ( X0
@ ( sK2
@ ^ [Y0: a] :
~ ( sK1 @ Y0 @ ( X0 @ Y0 ) ) ) )
!= ( sK2
@ ^ [Y0: a] :
~ ( sK1 @ Y0 @ ( X0 @ Y0 ) ) ) )
| ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: a] :
~ ( sK1 @ Y0 @ ( X0 @ Y0 ) ) )
@ ( X0
@ ( sK2
@ ^ [Y0: a] :
~ ( sK1 @ Y0 @ ( X0 @ Y0 ) ) ) ) ) ) ),
inference(equality_resolution,[status(thm)],[f63]) ).
thf(f63,plain,
! [X0: a > a,X1: a] :
( ( ( sK2
@ ^ [Y0: a] :
~ ( sK1 @ Y0 @ ( X0 @ Y0 ) ) )
!= X1 )
| ( $false
= ( sK1 @ X1 @ ( X0 @ X1 ) ) )
| ( ( X0 @ X1 )
!= X1 ) ),
inference(beta_eta_normalization,[status(thm)],[f62]) ).
thf(f62,plain,
! [X0: a > a,X1: a] :
( ( ( X0 @ X1 )
!= X1 )
| ( ( ^ [Y0: a] :
( sK1
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X1 )
= $false )
| ( ( sK2
@ ^ [Y0: a] :
~ ( ^ [Y1: a] :
( sK1
@ ( ^ [Y2: a] : Y2
@ Y1 )
@ ( X0 @ Y1 ) )
@ Y0 ) )
!= X1 ) ),
inference(trivial_inequality_removal,[status(thm)],[f58]) ).
thf(f58,plain,
! [X0: a > a,X1: a] :
( ( $false != $false )
| ( ( ^ [Y0: a] :
( sK1
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X1 )
= $false )
| ( ( sK2
@ ^ [Y0: a] :
~ ( ^ [Y1: a] :
( sK1
@ ( ^ [Y2: a] : Y2
@ Y1 )
@ ( X0 @ Y1 ) )
@ Y0 ) )
!= X1 )
| ( ( X0 @ X1 )
!= X1 ) ),
inference(equality_factoring,[status(thm)],[f57]) ).
thf(f57,plain,
! [X1: a,X4: a > $o] :
( ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: a] :
~ ( X4 @ Y0 ) )
@ X1 ) )
| ( $false
= ( X4 @ X1 ) ) ),
inference(not_proxy_clausification,[status(thm)],[f55]) ).
thf(f55,plain,
! [X1: a,X4: a > $o] :
( ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: a] :
~ ( X4 @ Y0 ) )
@ X1 ) )
| ( ( ~ ( X4 @ X1 ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f44]) ).
thf(f44,plain,
! [X1: a,X4: a > $o] :
( ( ~ ( X4 @ X1 ) )
= ( sK1
@ ( sK2
@ ^ [Y0: a] :
~ ( X4 @ Y0 ) )
@ X1 ) ),
inference(beta_eta_normalization,[status(thm)],[f43]) ).
thf(f43,plain,
! [X1: a,X4: a > $o] :
( ( ^ [Y0: a] :
~ ( X4 @ Y0 )
@ X1 )
= ( sK1
@ ( sK2
@ ^ [Y0: a] :
~ ( X4 @ Y0 ) )
@ X1 ) ),
inference(primitive_instantiation,[status(thm)],[f38]) ).
thf(f38,plain,
! [X0: a > $o,X1: a] :
( ( X0 @ X1 )
= ( sK1 @ ( sK2 @ X0 ) @ X1 ) ),
inference(argument_congruence,[status(thm)],[f31]) ).
thf(f31,plain,
! [X0: a > $o] :
( ( sK1 @ ( sK2 @ X0 ) )
= X0 ),
inference(equality_proxy_clausification,[status(thm)],[f19]) ).
thf(f19,plain,
! [X0: a > $o] :
( ( ( sK1 @ ( sK2 @ X0 ) )
= X0 )
= $true ),
inference(leibniz_equality_elimination,[status(thm)],[f17]) ).
thf(f17,plain,
! [X2: $o > $o,X1: a > $o] :
( ( $false
= ( X2
@ ( ( sK1 @ ( sK2 @ X1 ) )
= X1 ) ) )
| ( $true
= ( X2 @ $true ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f16]) ).
thf(f16,plain,
! [X2: $o > $o,X1: a > $o] :
( ( ( X2
@ ( ( sK1 @ ( sK2 @ X1 ) )
= X1 ) )
=> ( X2 @ $true ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f15]) ).
thf(f15,plain,
! [X2: $o > $o,X1: a > $o] :
( $true
= ( ^ [Y0: $o > $o] :
( ( Y0
@ ( ( sK1 @ ( sK2 @ X1 ) )
= X1 ) )
=> ( Y0 @ $true ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f14]) ).
thf(f14,plain,
! [X1: a > $o] :
( ( !! @ ( $o > $o )
@ ^ [Y0: $o > $o] :
( ( Y0
@ ( ( sK1 @ ( sK2 @ X1 ) )
= X1 ) )
=> ( Y0 @ $true ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f13]) ).
thf(f13,plain,
! [X1: a > $o] :
( $true
= ( ^ [Y0: a] :
( !! @ ( $o > $o )
@ ^ [Y1: $o > $o] :
( ( Y1
@ ( ( sK1 @ Y0 )
= X1 ) )
=> ( Y1 @ $true ) ) )
@ ( sK2 @ X1 ) ) ),
inference(sigma_clausification,[status(thm)],[f12]) ).
thf(f12,plain,
! [X1: a > $o] :
( ( ?? @ a
@ ^ [Y0: a] :
( !! @ ( $o > $o )
@ ^ [Y1: $o > $o] :
( ( Y1
@ ( ( sK1 @ Y0 )
= X1 ) )
=> ( Y1 @ $true ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f11]) ).
thf(f11,plain,
! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ?? @ a
@ ^ [Y1: a] :
( !! @ ( $o > $o )
@ ^ [Y2: $o > $o] :
( ( Y2
@ ( ( sK1 @ Y1 )
= Y0 ) )
=> ( Y2 @ $true ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f10]) ).
thf(f10,plain,
( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ?? @ a
@ ^ [Y1: a] :
( !! @ ( $o > $o )
@ ^ [Y2: $o > $o] :
( ( Y2
@ ( ( sK1 @ Y1 )
= Y0 ) )
=> ( Y2 @ $true ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f9]) ).
thf(f9,plain,
( ( ^ [Y0: a > a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ?? @ a
@ ^ [Y2: a] :
( !! @ ( $o > $o )
@ ^ [Y3: $o > $o] :
( ( Y3
@ ( ( Y0 @ Y2 )
= Y1 ) )
=> ( Y3 @ $true ) ) ) ) )
@ sK1 )
= $true ),
inference(sigma_clausification,[status(thm)],[f8]) ).
thf(f8,plain,
( ( ?? @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ?? @ a
@ ^ [Y2: a] :
( !! @ ( $o > $o )
@ ^ [Y3: $o > $o] :
( ( Y3
@ ( ( Y0 @ Y2 )
= Y1 ) )
=> ( Y3 @ $true ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f7]) ).
thf(f7,plain,
( $true
= ( ?? @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ?? @ a
@ ^ [Y2: a] :
( !! @ ( $o > $o )
@ ^ [Y3: $o > $o] :
( ( Y3
@ ( ( Y0 @ Y2 )
= Y1 ) )
=> ( Y3 @ ( Y1 = Y1 ) ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ~ ( ?? @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ?? @ a
@ ^ [Y2: a] :
( !! @ ( $o > $o )
@ ^ [Y3: $o > $o] :
( ( Y3
@ ( ( Y0 @ Y2 )
= Y1 ) )
=> ( Y3 @ ( Y1 = Y1 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ~ ( ?? @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ?? @ a
@ ^ [Y2: a] :
( !! @ ( $o > $o )
@ ^ [Y3: $o > $o] :
( ( Y3
@ ( ( Y0 @ Y2 )
= Y1 ) )
=> ( Y3 @ ( Y1 = Y1 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ~ ? [X0: a > a > $o] :
! [X1: a > $o] :
? [X2: a] :
! [X3: $o > $o] :
( ( X3
@ ( ( X0 @ X2 )
= X1 ) )
=> ( X3 @ ( X1 = X1 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ~ ? [X0: a > a > $o] :
! [X1: a > $o] :
? [X2: a] :
! [X3: $o > $o] :
( ( X3
@ ( ( X0 @ X2 )
= X1 ) )
=> ( X3 @ ( X1 = X1 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
~ ? [X0: a > a > $o] :
! [X1: a > $o] :
? [X2: a] :
! [X3: $o > $o] :
( ( X3
@ ( ( X0 @ X2 )
= X1 ) )
=> ( X3 @ ( X1 = X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dsRogxK12r/DTF2THF_18077.p',cCT30) ).
thf(f84,plain,
( ( sK1
@ ( sK2
@ ^ [Y0: a] :
~ ( sK1 @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: a] :
~ ( sK1 @ Y0 @ Y0 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f81]) ).
thf(f81,plain,
( ( sK1
@ ( sK2
@ ^ [Y0: a] :
~ ( sK1 @ Y0
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) )
@ ( ^ [Y0: a] : Y0
@ ( sK2
@ ^ [Y0: a] :
~ ( sK1 @ Y0
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) ) )
= $true ),
inference(equality_resolution,[status(thm)],[f72]) ).
thf(f72,plain,
! [X0: a > a] :
( ( ( X0
@ ( sK2
@ ^ [Y0: a] :
~ ( sK1 @ Y0 @ ( X0 @ Y0 ) ) ) )
!= ( sK2
@ ^ [Y0: a] :
~ ( sK1 @ Y0 @ ( X0 @ Y0 ) ) ) )
| ( $true
= ( sK1
@ ( sK2
@ ^ [Y0: a] :
~ ( sK1 @ Y0 @ ( X0 @ Y0 ) ) )
@ ( X0
@ ( sK2
@ ^ [Y0: a] :
~ ( sK1 @ Y0 @ ( X0 @ Y0 ) ) ) ) ) ) ),
inference(equality_resolution,[status(thm)],[f70]) ).
thf(f70,plain,
! [X0: a > a,X1: a] :
( ( ( sK2
@ ^ [Y0: a] :
~ ( sK1 @ Y0 @ ( X0 @ Y0 ) ) )
!= X1 )
| ( ( sK1 @ X1 @ ( X0 @ X1 ) )
= $true )
| ( ( X0 @ X1 )
!= X1 ) ),
inference(beta_eta_normalization,[status(thm)],[f69]) ).
thf(f69,plain,
! [X0: a > a,X1: a] :
( ( ( X0 @ X1 )
!= X1 )
| ( ( ^ [Y0: a] :
( sK1
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X1 )
= $true )
| ( ( sK2
@ ^ [Y0: a] :
~ ( ^ [Y1: a] :
( sK1
@ ( ^ [Y2: a] : Y2
@ Y1 )
@ ( X0 @ Y1 ) )
@ Y0 ) )
!= X1 ) ),
inference(trivial_inequality_removal,[status(thm)],[f65]) ).
thf(f65,plain,
! [X0: a > a,X1: a] :
( ( ( X0 @ X1 )
!= X1 )
| ( $true != $true )
| ( ( ^ [Y0: a] :
( sK1
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X1 )
= $true )
| ( ( sK2
@ ^ [Y0: a] :
~ ( ^ [Y1: a] :
( sK1
@ ( ^ [Y2: a] : Y2
@ Y1 )
@ ( X0 @ Y1 ) )
@ Y0 ) )
!= X1 ) ),
inference(equality_factoring,[status(thm)],[f64]) ).
thf(f64,plain,
! [X1: a,X4: a > $o] :
( ( ( sK1
@ ( sK2
@ ^ [Y0: a] :
~ ( X4 @ Y0 ) )
@ X1 )
= $true )
| ( ( X4 @ X1 )
= $true ) ),
inference(not_proxy_clausification,[status(thm)],[f56]) ).
thf(f56,plain,
! [X1: a,X4: a > $o] :
( ( ( sK1
@ ( sK2
@ ^ [Y0: a] :
~ ( X4 @ Y0 ) )
@ X1 )
= $true )
| ( $false
= ( ~ ( X4 @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO213^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.13/0.32 % Computer : n028.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 14:26:12 EST 2026
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.44 ---- Original DTF file ---
% 0.15/0.44 thf(spec,logic,$$dhol).
% 0.15/0.44 %------------------------------------------------------------------------------
% 0.15/0.44 % File : SYO213^5 : TPTP v9.2.1. Released v4.0.0.
% 0.15/0.44 % Domain : Syntactic
% 0.15/0.44 % Problem : TPS problem from BASIC-HO-PROP-THMS
% 0.15/0.44 % Version : Especial.
% 0.15/0.44 % English :
% 0.15/0.44
% 0.15/0.44 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.15/0.44 % Source : [Bro09]
% 0.15/0.44 % Names : tps_0760 [Bro09]
% 0.15/0.44
% 0.15/0.44 % Status : Theorem
% 0.15/0.44 % Rating : 0.56 v9.1.0, 0.50 v9.0.0, 0.60 v8.2.0, 0.69 v8.1.0, 0.64 v7.5.0, 0.57 v7.4.0, 0.78 v7.2.0, 0.75 v7.1.0, 0.88 v7.0.0, 0.86 v6.4.0, 0.83 v6.3.0, 0.80 v6.2.0, 0.71 v5.5.0, 0.67 v5.4.0, 0.60 v5.3.0, 0.80 v5.2.0, 1.00 v4.0.0
% 0.15/0.44 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.15/0.44 % Number of atoms : 2 ( 2 equ; 0 cnn)
% 0.15/0.44 % Maximal formula atoms : 2 ( 2 avg)
% 0.15/0.44 % Number of connectives : 5 ( 1 ~; 0 |; 0 &; 3 @)
% 0.15/0.44 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.15/0.44 % Maximal formula depth : 8 ( 8 avg)
% 0.15/0.44 % Number of types : 2 ( 1 usr)
% 0.15/0.44 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 0.15/0.44 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.15/0.44 % Number of variables : 4 ( 0 ^; 2 !; 2 ?; 4 :)
% 0.15/0.44 % SPC : TH0_THM_EQU_NAR
% 0.15/0.44
% 0.15/0.44 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.15/0.44 % project in the Department of Mathematical Sciences at Carnegie
% 0.15/0.44 % Mellon University. Distributed under the Creative Commons copyleft
% 0.15/0.44 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.15/0.44 %------------------------------------------------------------------------------
% 0.15/0.44 thf(a_type,type,
% 0.15/0.44 a: $tType ).
% 0.15/0.44
% 0.15/0.44 thf(cCT30,conjecture,
% 0.15/0.44 ~ ? [Xg: a > a > $o] :
% 0.15/0.44 ! [Xf: a > $o] :
% 0.15/0.44 ? [Xj: a] :
% 0.15/0.44 ! [Xp: $o > $o] :
% 0.15/0.44 ( ( Xp
% 0.15/0.44 @ ( ( Xg @ Xj )
% 0.15/0.44 = Xf ) )
% 0.15/0.44 => ( Xp @ ( Xf = Xf ) ) ) ).
% 0.15/0.44
% 0.15/0.44 %------------------------------------------------------------------------------
% 0.15/0.44 ------------------------
% 1.08/1.10 ---- Embedded in THF ---
% 1.08/1.10 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.08/1.10 %%% Generated on Tue Feb 24 14:26:12 EST 2026
% 1.08/1.10 %%% using '$$dhol' embedding, version 1.3.0.
% 1.08/1.10 %%% Logic specification used:
% 1.08/1.10 %%% thf(spec, logic, $$dhol).
% 1.08/1.10
% 1.08/1.10 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.dsRogxK12r/DTF2DTF18077.p
% See solution above
% 1.08/1.10 ------------------------
% 1.08/1.11 ---- Cleaned THF ---
% 1.08/1.11 thf(a_type,type,
% 1.08/1.11 a: $tType ).
% 1.08/1.11
% 1.08/1.11 thf(cCT30,conjecture,
% 1.08/1.11 ~ ? [Xg: a > a > $o] :
% 1.08/1.11 ! [Xf: a > $o] :
% 1.08/1.11 ? [Xj: a] :
% 1.08/1.11 ! [Xp: $o > $o] :
% 1.08/1.11 ( ( Xp
% 1.08/1.11 @ ( ( Xg @ Xj )
% 1.08/1.11 = Xf ) )
% 1.08/1.11 => ( Xp @ ( Xf = Xf ) ) ) ).
% 1.08/1.11 ------------------------
% 1.26/1.12 % (18222)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_18077 for (3000ds/2Mi)
% 1.26/1.12 % (18223)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_18077 for (3000ds/275Mi)
% 1.26/1.12 % (18219)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_18077 for (3000ds/4Mi)
% 1.26/1.12 % (18220)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_18077 for (3000ds/27Mi)
% 1.26/1.12 % (18221)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_18077 for (3000ds/2Mi)
% 1.26/1.12 % (18218)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_18077 for (3000ds/183Mi)
% 1.26/1.12 % (18224)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_18077 for (3000ds/18Mi)
% 1.26/1.12 % (18222)Instruction limit reached!
% 1.26/1.12 % (18222)------------------------------
% 1.26/1.12 % (18222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.12 % (18222)Termination reason: Unknown
% 1.26/1.12 % (18222)Termination phase: Saturation
% 1.26/1.12
% 1.26/1.12 % (18222)Memory used [KB]: 5373
% 1.26/1.12 % (18222)Time elapsed: 0.002 s
% 1.26/1.12 % (18222)Instructions burned: 2 (million)
% 1.26/1.12 % (18222)------------------------------
% 1.26/1.12 % (18222)------------------------------
% 1.26/1.12 % (18220)Refutation not found, incomplete strategy
% 1.26/1.12 % (18220)------------------------------
% 1.26/1.12 % (18220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.12 % (18220)Termination reason: Refutation not found, incomplete strategy
% 1.26/1.12
% 1.26/1.12
% 1.26/1.12 % (18220)Memory used [KB]: 5500
% 1.26/1.12 % (18220)Time elapsed: 0.002 s
% 1.26/1.12 % (18220)Instructions burned: 1 (million)
% 1.26/1.12 % (18220)------------------------------
% 1.26/1.12 % (18220)------------------------------
% 1.26/1.12 % (18221)Instruction limit reached!
% 1.26/1.12 % (18221)------------------------------
% 1.26/1.12 % (18221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.12 % (18221)Termination reason: Unknown
% 1.26/1.12 % (18221)Termination phase: Saturation
% 1.26/1.12
% 1.26/1.12 % (18221)Memory used [KB]: 5500
% 1.26/1.12 % (18221)Time elapsed: 0.003 s
% 1.26/1.12 % (18221)Instructions burned: 3 (million)
% 1.26/1.12 % (18221)------------------------------
% 1.26/1.12 % (18221)------------------------------
% 1.26/1.12 % (18219)Instruction limit reached!
% 1.26/1.12 % (18219)------------------------------
% 1.26/1.12 % (18219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.12 % (18219)Termination reason: Unknown
% 1.26/1.12 % (18219)Termination phase: Saturation
% 1.26/1.12
% 1.26/1.12 % (18219)Memory used [KB]: 5500
% 1.26/1.12 % (18219)Time elapsed: 0.004 s
% 1.26/1.12 % (18219)Instructions burned: 6 (million)
% 1.26/1.12 % (18219)------------------------------
% 1.26/1.12 % (18219)------------------------------
% 1.26/1.12 % (18223)Refutation not found, incomplete strategy
% 1.26/1.12 % (18223)------------------------------
% 1.26/1.12 % (18223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.12 % (18223)Termination reason: Refutation not found, incomplete strategy
% 1.26/1.12
% 1.26/1.12
% 1.26/1.12 % (18223)Memory used [KB]: 5500
% 1.26/1.12 % (18223)Time elapsed: 0.003 s
% 1.26/1.12 % (18223)Instructions burned: 4 (million)
% 1.26/1.12 % (18223)------------------------------
% 1.26/1.12 % (18223)------------------------------
% 1.26/1.13 % (18224)Instruction limit reached!
% 1.26/1.13 % (18224)------------------------------
% 1.26/1.13 % (18224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.13 % (18224)Termination reason: Unknown
% 1.26/1.13 % (18224)Termination phase: Saturation
% 1.26/1.13
% 1.26/1.13 % (18224)Memory used [KB]: 5628
% 1.26/1.13 % (18224)Time elapsed: 0.008 s
% 1.26/1.13 % (18224)Instructions burned: 19 (million)
% 1.26/1.13 % (18224)------------------------------
% 1.26/1.13 % (18224)------------------------------
% 1.26/1.13 % (18229)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_18077 for (2999ds/3Mi)
% 1.26/1.13 % (18231)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_18077 for (2999ds/15Mi)
% 1.26/1.13 % (18229)Refutation not found, incomplete strategy
% 1.26/1.13 % (18229)------------------------------
% 1.26/1.13 % (18229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.13 % (18229)Termination reason: Refutation not found, incomplete strategy
% 1.26/1.13
% 1.26/1.13
% 1.26/1.13 % (18229)Memory used [KB]: 5500
% 1.26/1.13 % (18229)Time elapsed: 0.002 s
% 1.26/1.13 % (18229)Instructions burned: 2 (million)
% 1.26/1.13 % (18229)------------------------------
% 1.26/1.13 % (18229)------------------------------
% 1.26/1.13 % (18233)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_18077 for (2999ds/3Mi)
% 1.26/1.13 % (18230)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_18077 for (2999ds/37Mi)
% 1.26/1.13 % (18234)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_18077 for (2999ds/1041Mi)
% 1.26/1.13 % (18233)Refutation not found, incomplete strategy
% 1.26/1.13 % (18233)------------------------------
% 1.26/1.13 % (18233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.13 % (18233)Termination reason: Refutation not found, incomplete strategy
% 1.26/1.13
% 1.26/1.13
% 1.26/1.13 % (18233)Memory used [KB]: 5500
% 1.26/1.13 % (18233)Time elapsed: 0.001 s
% 1.26/1.13 % (18233)------------------------------
% 1.26/1.13 % (18233)------------------------------
% 1.26/1.13 % (18231)Refutation not found, incomplete strategy
% 1.26/1.13 % (18231)------------------------------
% 1.26/1.13 % (18231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.13 % (18231)Termination reason: Refutation not found, incomplete strategy
% 1.26/1.13
% 1.26/1.13
% 1.26/1.13 % (18231)Memory used [KB]: 5500
% 1.26/1.13 % (18231)Time elapsed: 0.003 s
% 1.26/1.13 % (18231)Instructions burned: 5 (million)
% 1.26/1.13 % (18231)------------------------------
% 1.26/1.13 % (18231)------------------------------
% 1.26/1.14 % (18235)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_18077 for (2999ds/7Mi)
% 1.26/1.14 % (18235)Instruction limit reached!
% 1.26/1.14 % (18235)------------------------------
% 1.26/1.14 % (18235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.14 % (18235)Termination reason: Unknown
% 1.26/1.14 % (18235)Termination phase: Saturation
% 1.26/1.14
% 1.26/1.14 % (18235)Memory used [KB]: 1023
% 1.26/1.14 % (18235)Time elapsed: 0.004 s
% 1.26/1.14 % (18235)Instructions burned: 8 (million)
% 1.26/1.14 % (18235)------------------------------
% 1.26/1.14 % (18235)------------------------------
% 1.26/1.14 % (18237)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_18077 for (2999ds/16Mi)
% 1.26/1.14 % (18239)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_18077 for (2999ds/3Mi)
% 1.26/1.14 % (18240)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_18077 for (2999ds/3Mi)
% 1.26/1.14 % (18234)Refutation not found, incomplete strategy
% 1.26/1.14 % (18234)------------------------------
% 1.26/1.14 % (18234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.14 % (18234)Termination reason: Refutation not found, incomplete strategy
% 1.26/1.14
% 1.26/1.14
% 1.26/1.14 % (18234)Memory used [KB]: 5628
% 1.26/1.14 % (18234)Time elapsed: 0.011 s
% 1.26/1.14 % (18234)Instructions burned: 30 (million)
% 1.26/1.14 % (18234)------------------------------
% 1.26/1.14 % (18234)------------------------------
% 1.26/1.14 % (18239)Instruction limit reached!
% 1.26/1.14 % (18239)------------------------------
% 1.26/1.14 % (18239)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.14 % (18239)Termination reason: Unknown
% 1.26/1.14 % (18239)Termination phase: Saturation
% 1.26/1.14
% 1.26/1.14 % (18239)Memory used [KB]: 5500
% 1.26/1.14 % (18239)Time elapsed: 0.002 s
% 1.26/1.14 % (18239)Instructions burned: 3 (million)
% 1.26/1.14 % (18239)------------------------------
% 1.26/1.14 % (18239)------------------------------
% 1.26/1.14 % (18240)Instruction limit reached!
% 1.26/1.14 % (18240)------------------------------
% 1.26/1.14 % (18240)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.14 % (18240)Termination reason: Unknown
% 1.26/1.14 % (18240)Termination phase: Saturation
% 1.26/1.14
% 1.26/1.14 % (18240)Memory used [KB]: 5500
% 1.26/1.14 % (18240)Time elapsed: 0.002 s
% 1.26/1.14 % (18240)Instructions burned: 3 (million)
% 1.26/1.14 % (18240)------------------------------
% 1.26/1.14 % (18240)------------------------------
% 1.26/1.15 % (18230)Instruction limit reached!
% 1.26/1.15 % (18230)------------------------------
% 1.26/1.15 % (18230)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.15 % (18230)Termination reason: Unknown
% 1.26/1.15 % (18230)Termination phase: Saturation
% 1.26/1.15
% 1.26/1.15 % (18230)Memory used [KB]: 5756
% 1.26/1.15 % (18230)Time elapsed: 0.014 s
% 1.26/1.15 % (18230)Instructions burned: 38 (million)
% 1.26/1.15 % (18230)------------------------------
% 1.26/1.15 % (18230)------------------------------
% 1.26/1.15 % (18237)Instruction limit reached!
% 1.26/1.15 % (18237)------------------------------
% 1.26/1.15 % (18237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.15 % (18237)Termination reason: Unknown
% 1.26/1.15 % (18237)Termination phase: Saturation
% 1.26/1.15
% 1.26/1.15 % (18237)Memory used [KB]: 5628
% 1.26/1.15 % (18237)Time elapsed: 0.007 s
% 1.26/1.15 % (18237)Instructions burned: 17 (million)
% 1.26/1.15 % (18237)------------------------------
% 1.26/1.15 % (18237)------------------------------
% 1.26/1.15 % (18244)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_18077 for (2999ds/7Mi)
% 1.26/1.15 % (18244)Refutation not found, incomplete strategy
% 1.26/1.15 % (18244)------------------------------
% 1.26/1.15 % (18244)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.15 % (18244)Termination reason: Refutation not found, incomplete strategy
% 1.26/1.15
% 1.26/1.15
% 1.26/1.15 % (18244)Memory used [KB]: 5500
% 1.26/1.15 % (18244)Time elapsed: 0.001 s
% 1.26/1.15 % (18244)------------------------------
% 1.26/1.15 % (18244)------------------------------
% 1.26/1.15 % (18246)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_18077 for (2999ds/3Mi)
% 1.26/1.15 % (18247)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_18077 for (2999ds/4Mi)
% 1.26/1.15 % (18248)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_18077 for (2999ds/18Mi)
% 1.26/1.15 % (18246)Instruction limit reached!
% 1.26/1.15 % (18246)------------------------------
% 1.26/1.15 % (18246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.15 % (18246)Termination reason: Unknown
% 1.26/1.15 % (18246)Termination phase: Saturation
% 1.26/1.15
% 1.26/1.15 % (18246)Memory used [KB]: 5500
% 1.26/1.15 % (18246)Time elapsed: 0.002 s
% 1.26/1.15 % (18246)Instructions burned: 3 (million)
% 1.26/1.15 % (18246)------------------------------
% 1.26/1.15 % (18246)------------------------------
% 1.26/1.15 % (18248)Refutation not found, incomplete strategy
% 1.26/1.15 % (18248)------------------------------
% 1.26/1.15 % (18248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.15 % (18248)Termination reason: Refutation not found, incomplete strategy
% 1.26/1.15
% 1.26/1.15
% 1.26/1.15 % (18248)Memory used [KB]: 5500
% 1.26/1.15 % (18248)Time elapsed: 0.001 s
% 1.26/1.15 % (18248)Instructions burned: 1 (million)
% 1.26/1.15 % (18248)------------------------------
% 1.26/1.15 % (18248)------------------------------
% 1.26/1.15 % (18250)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_18077 for (2999ds/710Mi)
% 1.26/1.16 % (18247)Instruction limit reached!
% 1.26/1.16 % (18247)------------------------------
% 1.26/1.16 % (18247)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.16 % (18247)Termination reason: Unknown
% 1.26/1.16 % (18247)Termination phase: Saturation
% 1.26/1.16
% 1.26/1.16 % (18247)Memory used [KB]: 5500
% 1.26/1.16 % (18247)Time elapsed: 0.003 s
% 1.26/1.16 % (18247)Instructions burned: 5 (million)
% 1.26/1.16 % (18247)------------------------------
% 1.26/1.16 % (18247)------------------------------
% 1.26/1.16 % (18252)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_18077 for (2999ds/6Mi)
% 1.26/1.16 % (18254)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_18077 for (2999ds/902Mi)
% 1.26/1.16 % (18252)Instruction limit reached!
% 1.26/1.16 % (18252)------------------------------
% 1.26/1.16 % (18252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.16 % (18252)Termination reason: Unknown
% 1.26/1.16 % (18252)Termination phase: Saturation
% 1.26/1.16
% 1.26/1.16 % (18252)Memory used [KB]: 5500
% 1.26/1.16 % (18252)Time elapsed: 0.004 s
% 1.26/1.16 % (18252)Instructions burned: 8 (million)
% 1.26/1.16 % (18252)------------------------------
% 1.26/1.16 % (18252)------------------------------
% 1.26/1.16 % (18257)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_18077 for (2999ds/21Mi)
% 1.26/1.16 % (18259)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_18077 for (2999ds/5Mi)
% 1.26/1.16 % (18260)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_18077 for (2999ds/6Mi)
% 1.26/1.17 % (18259)Instruction limit reached!
% 1.26/1.17 % (18259)------------------------------
% 1.26/1.17 % (18259)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.17 % (18259)Termination reason: Unknown
% 1.26/1.17 % (18259)Termination phase: Saturation
% 1.26/1.17
% 1.26/1.17 % (18259)Memory used [KB]: 5500
% 1.26/1.17 % (18259)Time elapsed: 0.003 s
% 1.26/1.17 % (18259)Instructions burned: 5 (million)
% 1.26/1.17 % (18259)------------------------------
% 1.26/1.17 % (18259)------------------------------
% 1.26/1.17 % (18260)Instruction limit reached!
% 1.26/1.17 % (18260)------------------------------
% 1.26/1.17 % (18260)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.17 % (18260)Termination reason: Unknown
% 1.26/1.17 % (18260)Termination phase: Saturation
% 1.26/1.17
% 1.26/1.17 % (18260)Memory used [KB]: 5628
% 1.26/1.17 % (18260)Time elapsed: 0.004 s
% 1.26/1.17 % (18260)Instructions burned: 8 (million)
% 1.26/1.17 % (18260)------------------------------
% 1.26/1.17 % (18260)------------------------------
% 1.26/1.17 % (18262)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_18077 for (2999ds/377Mi)
% 1.26/1.17 % (18257)Instruction limit reached!
% 1.26/1.17 % (18257)------------------------------
% 1.26/1.17 % (18257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.17 % (18257)Termination reason: Unknown
% 1.26/1.17 % (18257)Termination phase: Saturation
% 1.26/1.17
% 1.26/1.17 % (18257)Memory used [KB]: 5628
% 1.26/1.17 % (18257)Time elapsed: 0.009 s
% 1.26/1.17 % (18257)Instructions burned: 23 (million)
% 1.26/1.17 % (18257)------------------------------
% 1.26/1.17 % (18257)------------------------------
% 1.26/1.17 % (18262)Refutation not found, incomplete strategy
% 1.26/1.17 % (18262)------------------------------
% 1.26/1.17 % (18262)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.17 % (18262)Termination reason: Refutation not found, incomplete strategy
% 1.26/1.17
% 1.26/1.17
% 1.26/1.17 % (18262)Memory used [KB]: 5500
% 1.26/1.17 % (18262)Time elapsed: 0.003 s
% 1.26/1.17 % (18262)Instructions burned: 5 (million)
% 1.26/1.17 % (18262)------------------------------
% 1.26/1.17 % (18262)------------------------------
% 1.26/1.18 % (18265)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_18077 for (2999ds/779Mi)
% 1.26/1.18 % (18267)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_18077 for (2999ds/19Mi)
% 1.26/1.18 % (18218)Instruction limit reached!
% 1.26/1.18 % (18218)------------------------------
% 1.26/1.18 % (18218)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.18 % (18218)Termination reason: Unknown
% 1.26/1.18 % (18218)Termination phase: Saturation
% 1.26/1.18
% 1.26/1.18 % (18218)Memory used [KB]: 6396
% 1.26/1.18 % (18218)Time elapsed: 0.060 s
% 1.26/1.18 % (18218)Instructions burned: 185 (million)
% 1.26/1.18 % (18218)------------------------------
% 1.26/1.18 % (18218)------------------------------
% 1.26/1.18 % (18269)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_18077 for (2999ds/879Mi)
% 1.26/1.18 % (18270)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_18077 for (2999ds/17Mi)
% 1.26/1.18 % (18267)First to succeed.
% 1.26/1.18 % (18269)Refutation not found, incomplete strategy
% 1.26/1.18 % (18269)------------------------------
% 1.26/1.18 % (18269)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.18 % (18269)Termination reason: Refutation not found, incomplete strategy
% 1.26/1.18
% 1.26/1.18
% 1.26/1.18 % (18269)Memory used [KB]: 5500
% 1.26/1.18 % (18269)Time elapsed: 0.002 s
% 1.26/1.18 % (18269)Instructions burned: 3 (million)
% 1.26/1.18 % (18269)------------------------------
% 1.26/1.18 % (18269)------------------------------
% 1.26/1.18 % (18267)Refutation found. Thanks to Tanya!
% 1.26/1.18 % SZS status Theorem for DTF2THF_18077
% 1.26/1.18 % SZS output start Proof for DTF2THF_18077
% 1.26/1.18 thf(type_def_5, type, a: $tType).
% 1.26/1.18 thf(func_def_0, type, a: $tType).
% 1.26/1.18 thf(func_def_15, type, sK1: a > a > $o).
% 1.26/1.18 thf(func_def_16, type, sK2: (a > $o) > a).
% 1.26/1.18 thf(f86,plain,(
% 1.26/1.18 $false),
% 1.26/1.18 inference(trivial_inequality_removal,[status(thm)],[f85])).
% 1.26/1.18 thf(f85,plain,(
% 1.26/1.18 ($false = $true)),
% 1.26/1.18 inference(forward_demodulation,[status(thm)],[f84,f79])).
% 1.26/1.18 thf(f79,plain,(
% 1.26/1.18 ($false = (sK1 @ (sK2 @ (^[Y0 : a]: (~ (sK1 @ Y0 @ Y0)))) @ (sK2 @ (^[Y0 : a]: (~ (sK1 @ Y0 @ Y0))))))),
% 1.26/1.18 inference(beta_eta_normalization,[status(thm)],[f77])).
% 1.26/1.18 thf(f77,plain,(
% 1.26/1.18 ($false = (sK1 @ (sK2 @ (^[Y0 : a]: (~ (sK1 @ Y0 @ ((^[Y1 : a]: (Y1)) @ Y0))))) @ ((^[Y0 : a]: (Y0)) @ (sK2 @ (^[Y0 : a]: (~ (sK1 @ Y0 @ ((^[Y1 : a]: (Y1)) @ Y0))))))))),
% 1.26/1.18 inference(equality_resolution,[status(thm)],[f71])).
% 1.26/1.18 thf(f71,plain,(
% 1.26/1.18 ( ! [X0 : a > a] : (((X0 @ (sK2 @ (^[Y0 : a]: (~ (sK1 @ Y0 @ (X0 @ Y0)))))) != (sK2 @ (^[Y0 : a]: (~ (sK1 @ Y0 @ (X0 @ Y0)))))) | ($false = (sK1 @ (sK2 @ (^[Y0 : a]: (~ (sK1 @ Y0 @ (X0 @ Y0))))) @ (X0 @ (sK2 @ (^[Y0 : a]: (~ (sK1 @ Y0 @ (X0 @ Y0))))))))) )),
% 1.26/1.18 inference(equality_resolution,[status(thm)],[f63])).
% 1.26/1.18 thf(f63,plain,(
% 1.26/1.18 ( ! [X0 : a > a,X1 : a] : (((sK2 @ (^[Y0 : a]: (~ (sK1 @ Y0 @ (X0 @ Y0))))) != X1) | ($false = (sK1 @ X1 @ (X0 @ X1))) | ((X0 @ X1) != X1)) )),
% 1.26/1.18 inference(beta_eta_normalization,[status(thm)],[f62])).
% 1.26/1.18 thf(f62,plain,(
% 1.26/1.18 ( ! [X0 : a > a,X1 : a] : (((X0 @ X1) != X1) | (((^[Y0 : a]: (sK1 @ ((^[Y1 : a]: (Y1)) @ Y0) @ (X0 @ Y0))) @ X1) = $false) | ((sK2 @ (^[Y0 : a]: (~ ((^[Y1 : a]: (sK1 @ ((^[Y2 : a]: (Y2)) @ Y1) @ (X0 @ Y1))) @ Y0)))) != X1)) )),
% 1.26/1.18 inference(trivial_inequality_removal,[status(thm)],[f58])).
% 1.26/1.18 thf(f58,plain,(
% 1.26/1.18 ( ! [X0 : a > a,X1 : a] : (($false != $false) | (((^[Y0 : a]: (sK1 @ ((^[Y1 : a]: (Y1)) @ Y0) @ (X0 @ Y0))) @ X1) = $false) | ((sK2 @ (^[Y0 : a]: (~ ((^[Y1 : a]: (sK1 @ ((^[Y2 : a]: (Y2)) @ Y1) @ (X0 @ Y1))) @ Y0)))) != X1) | ((X0 @ X1) != X1)) )),
% 1.26/1.18 inference(equality_factoring,[status(thm)],[f57])).
% 1.26/1.18 thf(f57,plain,(
% 1.26/1.18 ( ! [X1 : a,X4 : a > $o] : (($false = (sK1 @ (sK2 @ (^[Y0 : a]: (~ (X4 @ Y0)))) @ X1)) | ($false = (X4 @ X1))) )),
% 1.26/1.18 inference(not_proxy_clausification,[status(thm)],[f55])).
% 1.26/1.18 thf(f55,plain,(
% 1.26/1.18 ( ! [X1 : a,X4 : a > $o] : (($false = (sK1 @ (sK2 @ (^[Y0 : a]: (~ (X4 @ Y0)))) @ X1)) | ((~ (X4 @ X1)) = $true)) )),
% 1.26/1.18 inference(binary_proxy_clausification,[status(thm)],[f44])).
% 1.26/1.18 thf(f44,plain,(
% 1.26/1.18 ( ! [X1 : a,X4 : a > $o] : (((~ (X4 @ X1)) = (sK1 @ (sK2 @ (^[Y0 : a]: (~ (X4 @ Y0)))) @ X1))) )),
% 1.26/1.18 inference(beta_eta_normalization,[status(thm)],[f43])).
% 1.26/1.18 thf(f43,plain,(
% 1.26/1.18 ( ! [X1 : a,X4 : a > $o] : ((((^[Y0 : a]: (~ (X4 @ Y0))) @ X1) = (sK1 @ (sK2 @ (^[Y0 : a]: (~ (X4 @ Y0)))) @ X1))) )),
% 1.26/1.18 inference(primitive_instantiation,[status(thm)],[f38])).
% 1.26/1.18 thf(f38,plain,(
% 1.26/1.18 ( ! [X0 : a > $o,X1 : a] : (((X0 @ X1) = (sK1 @ (sK2 @ X0) @ X1))) )),
% 1.26/1.18 inference(argument_congruence,[status(thm)],[f31])).
% 1.26/1.18 thf(f31,plain,(
% 1.26/1.18 ( ! [X0 : a > $o] : (((sK1 @ (sK2 @ X0)) = X0)) )),
% 1.26/1.18 inference(equality_proxy_clausification,[status(thm)],[f19])).
% 1.26/1.18 thf(f19,plain,(
% 1.26/1.18 ( ! [X0 : a > $o] : ((((sK1 @ (sK2 @ X0)) = X0) = $true)) )),
% 1.26/1.18 inference(leibniz_equality_elimination,[status(thm)],[f17])).
% 1.26/1.18 thf(f17,plain,(
% 1.26/1.18 ( ! [X2 : $o > $o,X1 : a > $o] : (($false = (X2 @ ((sK1 @ (sK2 @ X1)) = X1))) | ($true = (X2 @ $true))) )),
% 1.26/1.18 inference(binary_proxy_clausification,[status(thm)],[f16])).
% 1.26/1.18 thf(f16,plain,(
% 1.26/1.18 ( ! [X2 : $o > $o,X1 : a > $o] : ((((X2 @ ((sK1 @ (sK2 @ X1)) = X1)) => (X2 @ $true)) = $true)) )),
% 1.26/1.18 inference(beta_eta_normalization,[status(thm)],[f15])).
% 1.26/1.18 thf(f15,plain,(
% 1.26/1.18 ( ! [X2 : $o > $o,X1 : a > $o] : (($true = ((^[Y0 : $o > $o]: ((Y0 @ ((sK1 @ (sK2 @ X1)) = X1)) => (Y0 @ $true))) @ X2))) )),
% 1.26/1.18 inference(pi_clausification,[status(thm)],[f14])).
% 1.26/1.18 thf(f14,plain,(
% 1.26/1.18 ( ! [X1 : a > $o] : (((!! @ ($o > $o) @ (^[Y0 : $o > $o]: ((Y0 @ ((sK1 @ (sK2 @ X1)) = X1)) => (Y0 @ $true)))) = $true)) )),
% 1.26/1.18 inference(beta_eta_normalization,[status(thm)],[f13])).
% 1.26/1.18 thf(f13,plain,(
% 1.26/1.18 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a]: (!! @ ($o > $o) @ (^[Y1 : $o > $o]: ((Y1 @ ((sK1 @ Y0) = X1)) => (Y1 @ $true))))) @ (sK2 @ X1)))) )),
% 1.26/1.18 inference(sigma_clausification,[status(thm)],[f12])).
% 1.26/1.18 thf(f12,plain,(
% 1.26/1.18 ( ! [X1 : a > $o] : (((?? @ a @ (^[Y0 : a]: (!! @ ($o > $o) @ (^[Y1 : $o > $o]: ((Y1 @ ((sK1 @ Y0) = X1)) => (Y1 @ $true)))))) = $true)) )),
% 1.26/1.18 inference(beta_eta_normalization,[status(thm)],[f11])).
% 1.26/1.18 thf(f11,plain,(
% 1.26/1.18 ( ! [X1 : a > $o] : ((((^[Y0 : a > $o]: (?? @ a @ (^[Y1 : a]: (!! @ ($o > $o) @ (^[Y2 : $o > $o]: ((Y2 @ ((sK1 @ Y1) = Y0)) => (Y2 @ $true))))))) @ X1) = $true)) )),
% 1.26/1.18 inference(pi_clausification,[status(thm)],[f10])).
% 1.26/1.18 thf(f10,plain,(
% 1.26/1.18 ((!! @ (a > $o) @ (^[Y0 : a > $o]: (?? @ a @ (^[Y1 : a]: (!! @ ($o > $o) @ (^[Y2 : $o > $o]: ((Y2 @ ((sK1 @ Y1) = Y0)) => (Y2 @ $true)))))))) = $true)),
% 1.26/1.18 inference(beta_eta_normalization,[status(thm)],[f9])).
% 1.26/1.18 thf(f9,plain,(
% 1.26/1.18 (((^[Y0 : a > a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (?? @ a @ (^[Y2 : a]: (!! @ ($o > $o) @ (^[Y3 : $o > $o]: ((Y3 @ ((Y0 @ Y2) = Y1)) => (Y3 @ $true))))))))) @ sK1) = $true)),
% 1.26/1.18 inference(sigma_clausification,[status(thm)],[f8])).
% 1.26/1.18 thf(f8,plain,(
% 1.26/1.18 ((?? @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (?? @ a @ (^[Y2 : a]: (!! @ ($o > $o) @ (^[Y3 : $o > $o]: ((Y3 @ ((Y0 @ Y2) = Y1)) => (Y3 @ $true)))))))))) = $true)),
% 1.26/1.18 inference(boolean_simplification,[status(thm)],[f7])).
% 1.26/1.18 thf(f7,plain,(
% 1.26/1.18 ($true = (?? @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (?? @ a @ (^[Y2 : a]: (!! @ ($o > $o) @ (^[Y3 : $o > $o]: ((Y3 @ ((Y0 @ Y2) = Y1)) => (Y3 @ (Y1 = Y1))))))))))))),
% 1.26/1.18 inference(boolean_simplification,[status(thm)],[f6])).
% 1.26/1.18 thf(f6,plain,(
% 1.26/1.18 ($true = (~ (~ (?? @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (?? @ a @ (^[Y2 : a]: (!! @ ($o > $o) @ (^[Y3 : $o > $o]: ((Y3 @ ((Y0 @ Y2) = Y1)) => (Y3 @ (Y1 = Y1))))))))))))))),
% 1.26/1.18 inference(cnf_transformation,[status(thm)],[f5])).
% 1.26/1.18 thf(f5,plain,(
% 1.26/1.18 ($true = (~ (~ (?? @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (?? @ a @ (^[Y2 : a]: (!! @ ($o > $o) @ (^[Y3 : $o > $o]: ((Y3 @ ((Y0 @ Y2) = Y1)) => (Y3 @ (Y1 = Y1))))))))))))))),
% 1.26/1.18 inference(fool_elimination,[status(thm)],[f4])).
% 1.26/1.18 thf(f4,plain,(
% 1.26/1.18 ~~? [X0 : a > a > $o] : ! [X1 : a > $o] : ? [X2 : a] : ! [X3 : $o > $o] : ((X3 @ ((X0 @ X2) = X1)) => (X3 @ (X1 = X1)))),
% 1.26/1.18 inference(rectify,[status(thm)],[f2])).
% 1.26/1.18 thf(f2,negated_conjecture,(
% 1.26/1.18 ~~? [X0 : a > a > $o] : ! [X1 : a > $o] : ? [X2 : a] : ! [X3 : $o > $o] : ((X3 @ ((X0 @ X2) = X1)) => (X3 @ (X1 = X1)))),
% 1.26/1.18 inference(negated_conjecture,[status(cth)],[f1])).
% 1.26/1.18 thf(f1,conjecture,(
% 1.26/1.18 ~? [X0 : a > a > $o] : ! [X1 : a > $o] : ? [X2 : a] : ! [X3 : $o > $o] : ((X3 @ ((X0 @ X2) = X1)) => (X3 @ (X1 = X1)))),
% 1.26/1.18 file('/export/starexec/sandbox2/tmp/tmp.dsRogxK12r/DTF2THF_18077.p',cCT30)).
% 1.26/1.18 thf(f84,plain,(
% 1.26/1.18 ((sK1 @ (sK2 @ (^[Y0 : a]: (~ (sK1 @ Y0 @ Y0)))) @ (sK2 @ (^[Y0 : a]: (~ (sK1 @ Y0 @ Y0))))) = $true)),
% 1.26/1.18 inference(beta_eta_normalization,[status(thm)],[f81])).
% 1.26/1.18 thf(f81,plain,(
% 1.26/1.18 ((sK1 @ (sK2 @ (^[Y0 : a]: (~ (sK1 @ Y0 @ ((^[Y1 : a]: (Y1)) @ Y0))))) @ ((^[Y0 : a]: (Y0)) @ (sK2 @ (^[Y0 : a]: (~ (sK1 @ Y0 @ ((^[Y1 : a]: (Y1)) @ Y0))))))) = $true)),
% 1.26/1.18 inference(equality_resolution,[status(thm)],[f72])).
% 1.26/1.18 thf(f72,plain,(
% 1.26/1.18 ( ! [X0 : a > a] : (((X0 @ (sK2 @ (^[Y0 : a]: (~ (sK1 @ Y0 @ (X0 @ Y0)))))) != (sK2 @ (^[Y0 : a]: (~ (sK1 @ Y0 @ (X0 @ Y0)))))) | ($true = (sK1 @ (sK2 @ (^[Y0 : a]: (~ (sK1 @ Y0 @ (X0 @ Y0))))) @ (X0 @ (sK2 @ (^[Y0 : a]: (~ (sK1 @ Y0 @ (X0 @ Y0))))))))) )),
% 1.26/1.18 inference(equality_resolution,[status(thm)],[f70])).
% 1.26/1.18 thf(f70,plain,(
% 1.26/1.18 ( ! [X0 : a > a,X1 : a] : (((sK2 @ (^[Y0 : a]: (~ (sK1 @ Y0 @ (X0 @ Y0))))) != X1) | ((sK1 @ X1 @ (X0 @ X1)) = $true) | ((X0 @ X1) != X1)) )),
% 1.26/1.18 inference(beta_eta_normalization,[status(thm)],[f69])).
% 1.26/1.18 thf(f69,plain,(
% 1.26/1.18 ( ! [X0 : a > a,X1 : a] : (((X0 @ X1) != X1) | (((^[Y0 : a]: (sK1 @ ((^[Y1 : a]: (Y1)) @ Y0) @ (X0 @ Y0))) @ X1) = $true) | ((sK2 @ (^[Y0 : a]: (~ ((^[Y1 : a]: (sK1 @ ((^[Y2 : a]: (Y2)) @ Y1) @ (X0 @ Y1))) @ Y0)))) != X1)) )),
% 1.26/1.18 inference(trivial_inequality_removal,[status(thm)],[f65])).
% 1.26/1.18 thf(f65,plain,(
% 1.26/1.18 ( ! [X0 : a > a,X1 : a] : (((X0 @ X1) != X1) | ($true != $true) | (((^[Y0 : a]: (sK1 @ ((^[Y1 : a]: (Y1)) @ Y0) @ (X0 @ Y0))) @ X1) = $true) | ((sK2 @ (^[Y0 : a]: (~ ((^[Y1 : a]: (sK1 @ ((^[Y2 : a]: (Y2)) @ Y1) @ (X0 @ Y1))) @ Y0)))) != X1)) )),
% 1.26/1.18 inference(equality_factoring,[status(thm)],[f64])).
% 1.26/1.18 thf(f64,plain,(
% 1.26/1.18 ( ! [X1 : a,X4 : a > $o] : (((sK1 @ (sK2 @ (^[Y0 : a]: (~ (X4 @ Y0)))) @ X1) = $true) | ((X4 @ X1) = $true)) )),
% 1.26/1.18 inference(not_proxy_clausification,[status(thm)],[f56])).
% 1.26/1.18 thf(f56,plain,(
% 1.26/1.18 ( ! [X1 : a,X4 : a > $o] : (((sK1 @ (sK2 @ (^[Y0 : a]: (~ (X4 @ Y0)))) @ X1) = $true) | ($false = (~ (X4 @ X1)))) )),
% 1.26/1.18 inference(binary_proxy_clausification,[status(thm)],[f44])).
% 1.26/1.18 % SZS output end Proof for DTF2THF_18077
% 1.26/1.18 % (18267)------------------------------
% 1.26/1.18 % (18267)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.18 % (18267)Termination reason: Refutation
% 1.26/1.18
% 1.26/1.18 % (18267)Memory used [KB]: 5628
% 1.26/1.18 % (18267)Time elapsed: 0.007 s
% 1.26/1.18 % (18267)Instructions burned: 15 (million)
% 1.26/1.18 % (18267)------------------------------
% 1.26/1.18 % (18267)------------------------------
% 1.26/1.18 % (18215)Success in time 0.057 s
%------------------------------------------------------------------------------