%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU929^5 : 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 : n017.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 09:37:46 AM UTC 2026
% Result : Theorem 1.63s 1.58s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 1
% Syntax : Number of formulae : 28 ( 28 unt; 0 typ; 0 def)
% Number of atoms : 95 ( 52 equ; 0 cnn)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 365 ( 11 ~; 0 |; 13 &; 291 @)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 77 ( 77 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 5 usr; 4 con; 0-2 aty)
% ( 16 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 135 ( 125 ^; 10 !; 0 ?; 135 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
f: $i > $i ).
thf(func_def_1,type,
g: $i > $i ).
thf(func_def_13,type,
ph0:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
sK2: $i > $i ).
thf(f130,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f129]) ).
thf(f129,plain,
( ( f @ ( f @ ( sK2 @ sK3 ) ) )
!= ( f @ ( f @ ( sK2 @ sK3 ) ) ) ),
inference(forward_demodulation,[status(thm)],[f128,f101]) ).
thf(f101,plain,
! [X1: $i] :
( ( sK2 @ ( f @ X1 ) )
= ( f @ ( sK2 @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f95]) ).
thf(f95,plain,
! [X1: $i] :
( ( ^ [Y0: $i] : ( f @ ( sK2 @ Y0 ) )
@ X1 )
= ( ^ [Y0: $i] : ( sK2 @ ( f @ Y0 ) )
@ X1 ) ),
inference(argument_congruence,[status(thm)],[f78]) ).
thf(f78,plain,
( ( ^ [Y0: $i] : ( f @ ( sK2 @ Y0 ) ) )
= ( ^ [Y0: $i] : ( sK2 @ ( f @ Y0 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f56]) ).
thf(f56,plain,
( ( ( ^ [Y0: $i] : ( f @ ( sK2 @ Y0 ) ) )
= ( ^ [Y0: $i] : ( sK2 @ ( f @ Y0 ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f54]) ).
thf(f54,plain,
( ( ( ( ^ [Y0: $i] : ( f @ ( sK2 @ Y0 ) ) )
= ( ^ [Y0: $i] : ( sK2 @ ( f @ Y0 ) ) ) )
=> ( ( ^ [Y0: $i] : ( f @ ( f @ ( sK2 @ Y0 ) ) ) )
= ( ^ [Y0: $i] : ( f @ ( sK2 @ ( f @ Y0 ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f47]) ).
thf(f47,plain,
( ( ^ [Y0: $i > $i] :
( ( ( ^ [Y1: $i] : ( f @ ( Y0 @ Y1 ) ) )
= ( ^ [Y1: $i] : ( Y0 @ ( f @ Y1 ) ) ) )
=> ( ( ^ [Y1: $i] : ( f @ ( f @ ( Y0 @ Y1 ) ) ) )
= ( ^ [Y1: $i] : ( f @ ( Y0 @ ( f @ Y1 ) ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[status(thm)],[f46]) ).
thf(f46,plain,
( ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ( ( ^ [Y1: $i] : ( f @ ( Y0 @ Y1 ) ) )
= ( ^ [Y1: $i] : ( Y0 @ ( f @ Y1 ) ) ) )
=> ( ( ^ [Y1: $i] : ( f @ ( f @ ( Y0 @ Y1 ) ) ) )
= ( ^ [Y1: $i] : ( f @ ( Y0 @ ( f @ Y1 ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f39]) ).
thf(f39,plain,
( ( ~ ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ( ( ^ [Y1: $i] : ( f @ ( Y0 @ Y1 ) ) )
= ( ^ [Y1: $i] : ( Y0 @ ( f @ Y1 ) ) ) )
=> ( ( ^ [Y1: $i] : ( f @ ( f @ ( Y0 @ Y1 ) ) ) )
= ( ^ [Y1: $i] : ( f @ ( Y0 @ ( f @ Y1 ) ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f38]) ).
thf(f38,plain,
( ( ~ ( $true
& ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ( ( ^ [Y1: $i] : ( f @ ( Y0 @ Y1 ) ) )
= ( ^ [Y1: $i] : ( Y0 @ ( f @ Y1 ) ) ) )
=> ( ( ^ [Y1: $i] : ( f @ ( f @ ( Y0 @ Y1 ) ) ) )
= ( ^ [Y1: $i] : ( f @ ( Y0 @ ( f @ Y1 ) ) ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f37]) ).
thf(f37,plain,
( $true
= ( ~ ( ( ( ^ [Y0: $i] : ( f @ ( f @ Y0 ) ) )
= ( ^ [Y0: $i] : ( f @ ( f @ Y0 ) ) ) )
& ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ( ( ^ [Y1: $i] : ( f @ ( Y0 @ Y1 ) ) )
= ( ^ [Y1: $i] : ( Y0 @ ( f @ Y1 ) ) ) )
=> ( ( ^ [Y1: $i] : ( f @ ( f @ ( Y0 @ Y1 ) ) ) )
= ( ^ [Y1: $i] : ( f @ ( Y0 @ ( f @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f36]) ).
thf(f36,plain,
( $true
= ( ( ( ( ^ [Y0: $i] : ( f @ ( f @ Y0 ) ) )
= ( ^ [Y0: $i] : ( f @ ( f @ Y0 ) ) ) )
& ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ( ( ^ [Y1: $i] : ( f @ ( Y0 @ Y1 ) ) )
= ( ^ [Y1: $i] : ( Y0 @ ( f @ Y1 ) ) ) )
=> ( ( ^ [Y1: $i] : ( f @ ( f @ ( Y0 @ Y1 ) ) ) )
= ( ^ [Y1: $i] : ( f @ ( Y0 @ ( f @ Y1 ) ) ) ) ) ) ) )
=> $false ) ),
inference(beta_eta_normalization,[status(thm)],[f29]) ).
thf(f29,plain,
( ( ( ( ^ [Y0: $i > $i] :
( ( ^ [Y1: $i > $i,Y2: $i] :
( f
@ ( ^ [Y3: $i > $i,Y4: $i] :
( Y3
@ ( ^ [Y5: $i > $i,Y6: $i] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 )
= ( ^ [Y1: $i > $i,Y2: $i] :
( Y1
@ ( ^ [Y3: $i > $i,Y4: $i] :
( f
@ ( ^ [Y5: $i > $i,Y6: $i] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) )
@ f )
& ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ( ^ [Y1: $i > $i] :
( ( ^ [Y2: $i > $i,Y3: $i] :
( f
@ ( ^ [Y4: $i > $i,Y5: $i] :
( Y4
@ ( ^ [Y6: $i > $i,Y7: $i] : Y7
@ Y4
@ Y5 ) )
@ Y2
@ Y3 ) )
@ Y1 )
= ( ^ [Y2: $i > $i,Y3: $i] :
( Y2
@ ( ^ [Y4: $i > $i,Y5: $i] :
( f
@ ( ^ [Y6: $i > $i,Y7: $i] : Y7
@ Y4
@ Y5 ) )
@ Y2
@ Y3 ) )
@ Y1 ) )
@ Y0 )
=> ( ^ [Y1: $i > $i] :
( ( ^ [Y2: $i > $i,Y3: $i] :
( f
@ ( ^ [Y4: $i > $i,Y5: $i] :
( Y4
@ ( ^ [Y6: $i > $i,Y7: $i] : Y7
@ Y4
@ Y5 ) )
@ Y2
@ Y3 ) )
@ Y1 )
= ( ^ [Y2: $i > $i,Y3: $i] :
( Y2
@ ( ^ [Y4: $i > $i,Y5: $i] :
( f
@ ( ^ [Y6: $i > $i,Y7: $i] : Y7
@ Y4
@ Y5 ) )
@ Y2
@ Y3 ) )
@ Y1 ) )
@ ^ [Y1: $i] : ( f @ ( Y0 @ Y1 ) ) ) ) ) )
=> $false )
= $true ),
inference(superposition,[status(thm)],[f25,f8]) ).
thf(f8,plain,
( $false
= ( ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) ) )
= ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( ( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y0: ( $i > $i ) > $o] :
( ( ( Y0 @ f )
& ( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i] : ( f @ ( Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ g ) ) )
=> ( ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) ) )
= ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y0: ( $i > $i ) > $o] :
( ( ( Y0 @ f )
& ( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i] : ( f @ ( Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ g ) ) )
=> ( ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) ) )
= ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y0: ( $i > $i ) > $o] :
( ( ( Y0 @ f )
& ( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i] : ( f @ ( Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ g ) ) )
=> ( ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) ) )
= ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ! [X0: ( $i > $i ) > $o] :
( ( ! [X1: $i > $i] :
( ( X0 @ X1 )
=> ( X0
@ ^ [X2: $i] : ( f @ ( X1 @ X2 ) ) ) )
& ( X0 @ f ) )
=> ( X0 @ g ) )
=> ( ( ^ [X3: $i] : ( f @ ( g @ X3 ) ) )
= ( ^ [X4: $i] : ( g @ ( f @ X4 ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: ( $i > $i ) > $o] :
( ( ! [X1: $i > $i] :
( ( X0 @ X1 )
=> ( X0
@ ^ [X2: $i] : ( f @ ( X1 @ X2 ) ) ) )
& ( X0 @ f ) )
=> ( X0 @ g ) )
=> ( ( ^ [X2: $i] : ( f @ ( g @ X2 ) ) )
= ( ^ [X2: $i] : ( g @ ( f @ X2 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ! [X0: ( $i > $i ) > $o] :
( ( ! [X1: $i > $i] :
( ( X0 @ X1 )
=> ( X0
@ ^ [X2: $i] : ( f @ ( X1 @ X2 ) ) ) )
& ( X0 @ f ) )
=> ( X0 @ g ) )
=> ( ( ^ [X2: $i] : ( f @ ( g @ X2 ) ) )
= ( ^ [X2: $i] : ( g @ ( f @ X2 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ucgo7bIxLf/DTF2THF_12088.p',cTHM170_pme) ).
thf(f25,plain,
! [X1: ( $i > $i ) > $o] :
( ( ( ( X1 @ f )
& ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( ( X1 @ Y0 )
=> ( X1
@ ^ [Y1: $i] : ( f @ ( Y0 @ Y1 ) ) ) ) ) )
=> ( X1 @ g ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f20]) ).
thf(f20,plain,
! [X1: ( $i > $i ) > $o] :
( ( ^ [Y0: ( $i > $i ) > $o] :
( ( ( Y0 @ f )
& ( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i] : ( f @ ( Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ g ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f9]) ).
thf(f9,plain,
( $true
= ( !! @ ( ( $i > $i ) > $o )
@ ^ [Y0: ( $i > $i ) > $o] :
( ( ( Y0 @ f )
& ( !! @ ( $i > $i )
@ ^ [Y1: $i > $i] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i] : ( f @ ( Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ g ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f7]) ).
thf(f128,plain,
( ( f @ ( f @ ( sK2 @ sK3 ) ) )
!= ( f @ ( sK2 @ ( f @ sK3 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f127]) ).
thf(f127,plain,
( ( ^ [Y0: $i] : ( f @ ( sK2 @ ( f @ Y0 ) ) )
@ sK3 )
!= ( ^ [Y0: $i] : ( f @ ( f @ ( sK2 @ Y0 ) ) )
@ sK3 ) ),
inference(negative_extensionality,[status(thm)],[f102]) ).
thf(f102,plain,
( ( ^ [Y0: $i] : ( f @ ( f @ ( sK2 @ Y0 ) ) ) )
!= ( ^ [Y0: $i] : ( f @ ( sK2 @ ( f @ Y0 ) ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f55]) ).
thf(f55,plain,
( $false
= ( ( ^ [Y0: $i] : ( f @ ( f @ ( sK2 @ Y0 ) ) ) )
= ( ^ [Y0: $i] : ( f @ ( sK2 @ ( f @ Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU929^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.33 % Computer : n017.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Tue Feb 24 12:35:56 EST 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.33 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.45 ---- Original DTF file ---
% 0.18/0.45 thf(spec,logic,$$dhol).
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 % File : SEU929^5 : TPTP v9.2.1. Released v4.0.0.
% 0.18/0.45 % Domain : Set Theory (Functions)
% 0.18/0.45 % Problem : TPS problem THM170
% 0.18/0.45 % Version : Especial.
% 0.18/0.45 % English :
% 0.18/0.45
% 0.18/0.45 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.18/0.45 % Source : [Bro09]
% 0.18/0.45 % Names : tps_0246 [Bro09]
% 0.18/0.45 % : THM170 [TPS]
% 0.18/0.45
% 0.18/0.45 % Status : Theorem
% 0.18/0.45 % Rating : 0.78 v9.1.0, 0.75 v9.0.0, 0.80 v8.2.0, 0.85 v8.1.0, 0.82 v7.5.0, 0.71 v7.4.0, 0.56 v7.2.0, 0.62 v7.1.0, 0.50 v7.0.0, 0.43 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.71 v5.5.0, 0.67 v5.4.0, 0.80 v5.3.0, 1.00 v5.2.0, 0.80 v4.1.0, 0.67 v4.0.0
% 0.18/0.45 % Syntax : Number of formulae : 3 ( 1 unt; 2 typ; 0 def)
% 0.18/0.45 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 0.18/0.45 % Maximal formula atoms : 1 ( 1 avg)
% 0.18/0.45 % Number of connectives : 14 ( 0 ~; 0 |; 1 &; 10 @)
% 0.18/0.45 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.18/0.45 % Maximal formula depth : 11 ( 11 avg)
% 0.18/0.45 % Number of types : 2 ( 0 usr)
% 0.18/0.45 % Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% 0.18/0.45 % Number of symbols : 3 ( 2 usr; 0 con; 1-2 aty)
% 0.18/0.45 % Number of variables : 5 ( 3 ^; 2 !; 0 ?; 5 :)
% 0.18/0.45 % SPC : TH0_THM_EQU_NAR
% 0.18/0.45
% 0.18/0.45 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.18/0.45 % project in the Department of Mathematical Sciences at Carnegie
% 0.18/0.45 % Mellon University. Distributed under the Creative Commons copyleft
% 0.18/0.45 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.18/0.45 % : Polymorphic definitions expanded.
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 thf(f,type,
% 0.18/0.45 f: $i > $i ).
% 0.18/0.45
% 0.18/0.45 thf(g,type,
% 0.18/0.45 g: $i > $i ).
% 0.18/0.45
% 0.18/0.45 thf(cTHM170_pme,conjecture,
% 0.18/0.45 ( ! [Xp: ( $i > $i ) > $o] :
% 0.18/0.45 ( ( ( Xp @ f )
% 0.18/0.45 & ! [Xj: $i > $i] :
% 0.18/0.45 ( ( Xp @ Xj )
% 0.18/0.45 => ( Xp
% 0.18/0.45 @ ^ [Xx: $i] : ( f @ ( Xj @ Xx ) ) ) ) )
% 0.18/0.45 => ( Xp @ g ) )
% 0.18/0.45 => ( ( ^ [Xx: $i] : ( f @ ( g @ Xx ) ) )
% 0.18/0.45 = ( ^ [Xx: $i] : ( g @ ( f @ Xx ) ) ) ) ) ).
% 0.18/0.45
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 ------------------------
% 1.44/1.28 ---- Embedded in THF ---
% 1.44/1.28 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.44/1.28 %%% Generated on Tue Feb 24 12:35:56 EST 2026
% 1.44/1.28 %%% using '$$dhol' embedding, version 1.3.0.
% 1.44/1.28 %%% Logic specification used:
% 1.44/1.28 %%% thf(spec, logic, $$dhol).
% 1.44/1.28
% 1.44/1.28 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.Ucgo7bIxLf/DTF2DTF12088.p
% See solution above
% 1.44/1.28 ------------------------
% 1.44/1.29 ---- Cleaned THF ---
% 1.44/1.29 thf(f,type,
% 1.44/1.29 f: $i > $i ).
% 1.44/1.29
% 1.44/1.29 thf(g,type,
% 1.44/1.29 g: $i > $i ).
% 1.44/1.29
% 1.44/1.29 thf(cTHM170_pme,conjecture,
% 1.44/1.29 ( ! [Xp: ( $i > $i ) > $o] :
% 1.44/1.29 ( ( ( Xp @ f )
% 1.44/1.29 & ! [Xj: $i > $i] :
% 1.44/1.29 ( ( Xp @ Xj )
% 1.44/1.29 => ( Xp
% 1.44/1.29 @ ^ [Xx: $i] : ( f @ ( Xj @ Xx ) ) ) ) )
% 1.44/1.29 => ( Xp @ g ) )
% 1.44/1.29 => ( ( ^ [Xx: $i] : ( f @ ( g @ Xx ) ) )
% 1.44/1.29 = ( ^ [Xx: $i] : ( g @ ( f @ Xx ) ) ) ) ) ).
% 1.44/1.29 ------------------------
% 1.63/1.30 % (12282)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_12088 for (3000ds/275Mi)
% 1.63/1.30 % (12281)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_12088 for (3000ds/2Mi)
% 1.63/1.30 % (12281)Instruction limit reached!
% 1.63/1.30 % (12281)------------------------------
% 1.63/1.30 % (12281)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.30 % (12281)Termination reason: Unknown
% 1.63/1.30 % (12281)Termination phase: Saturation
% 1.63/1.30
% 1.63/1.30 % (12281)Memory used [KB]: 895
% 1.63/1.30 % (12281)Time elapsed: 0.002 s
% 1.63/1.30 % (12281)Instructions burned: 2 (million)
% 1.63/1.30 % (12281)------------------------------
% 1.63/1.30 % (12281)------------------------------
% 1.63/1.30 % (12280)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_12088 for (3000ds/2Mi)
% 1.63/1.31 % (12280)Instruction limit reached!
% 1.63/1.31 % (12280)------------------------------
% 1.63/1.31 % (12280)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.31 % (12280)Termination reason: Unknown
% 1.63/1.31 % (12280)Termination phase: Saturation
% 1.63/1.31
% 1.63/1.31 % (12280)Memory used [KB]: 5500
% 1.63/1.31 % (12280)Time elapsed: 0.003 s
% 1.63/1.31 % (12280)Instructions burned: 3 (million)
% 1.63/1.31 % (12280)------------------------------
% 1.63/1.31 % (12280)------------------------------
% 1.63/1.31 % (12283)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_12088 for (3000ds/18Mi)
% 1.63/1.31 % (12282)Refutation not found, incomplete strategy
% 1.63/1.31 % (12282)------------------------------
% 1.63/1.31 % (12282)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.31 % (12282)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.31
% 1.63/1.31
% 1.63/1.31 % (12282)Memory used [KB]: 5500
% 1.63/1.31 % (12282)Time elapsed: 0.005 s
% 1.63/1.31 % (12282)Instructions burned: 9 (million)
% 1.63/1.31 % (12282)------------------------------
% 1.63/1.31 % (12282)------------------------------
% 1.63/1.31 % (12279)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_12088 for (3000ds/27Mi)
% 1.63/1.31 % (12278)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_12088 for (3000ds/4Mi)
% 1.63/1.31 % (12279)Refutation not found, incomplete strategy
% 1.63/1.31 % (12279)------------------------------
% 1.63/1.31 % (12279)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.31 % (12279)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.31
% 1.63/1.31
% 1.63/1.31 % (12279)Memory used [KB]: 5500
% 1.63/1.31 % (12279)Time elapsed: 0.004 s
% 1.63/1.31 % (12279)Instructions burned: 2 (million)
% 1.63/1.31 % (12279)------------------------------
% 1.63/1.31 % (12279)------------------------------
% 1.63/1.31 % (12278)Instruction limit reached!
% 1.63/1.31 % (12278)------------------------------
% 1.63/1.31 % (12278)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.31 % (12278)Termination reason: Unknown
% 1.63/1.31 % (12278)Termination phase: Saturation
% 1.63/1.31
% 1.63/1.31 % (12278)Memory used [KB]: 5500
% 1.63/1.31 % (12278)Time elapsed: 0.005 s
% 1.63/1.31 % (12278)Instructions burned: 5 (million)
% 1.63/1.31 % (12278)------------------------------
% 1.63/1.31 % (12278)------------------------------
% 1.63/1.32 % (12283)Instruction limit reached!
% 1.63/1.32 % (12283)------------------------------
% 1.63/1.32 % (12283)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.32 % (12283)Termination reason: Unknown
% 1.63/1.32 % (12283)Termination phase: Saturation
% 1.63/1.32
% 1.63/1.32 % (12283)Memory used [KB]: 5628
% 1.63/1.32 % (12283)Time elapsed: 0.010 s
% 1.63/1.32 % (12283)Instructions burned: 19 (million)
% 1.63/1.32 % (12283)------------------------------
% 1.63/1.32 % (12283)------------------------------
% 1.63/1.32 % (12285)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_12088 for (2999ds/37Mi)
% 1.63/1.32 % (12286)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_12088 for (2999ds/15Mi)
% 1.63/1.32 % (12277)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_12088 for (3000ds/183Mi)
% 1.63/1.32 % (12284)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_12088 for (2999ds/3Mi)
% 1.63/1.32 % (12284)Instruction limit reached!
% 1.63/1.32 % (12284)------------------------------
% 1.63/1.32 % (12284)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.32 % (12284)Termination reason: Unknown
% 1.63/1.32 % (12284)Termination phase: Saturation
% 1.63/1.32
% 1.63/1.32 % (12284)Memory used [KB]: 5500
% 1.63/1.32 % (12284)Time elapsed: 0.003 s
% 1.63/1.32 % (12284)Instructions burned: 4 (million)
% 1.63/1.32 % (12284)------------------------------
% 1.63/1.32 % (12284)------------------------------
% 1.63/1.32 % (12286)Refutation not found, incomplete strategy
% 1.63/1.32 % (12286)------------------------------
% 1.63/1.32 % (12286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.32 % (12286)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.32
% 1.63/1.32
% 1.63/1.32 % (12286)Memory used [KB]: 5628
% 1.63/1.32 % (12286)Time elapsed: 0.005 s
% 1.63/1.32 % (12286)Instructions burned: 11 (million)
% 1.63/1.32 % (12286)------------------------------
% 1.63/1.32 % (12286)------------------------------
% 1.63/1.33 % (12289)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_12088 for (2999ds/7Mi)
% 1.63/1.33 % (12285)Instruction limit reached!
% 1.63/1.33 % (12285)------------------------------
% 1.63/1.33 % (12285)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.33 % (12285)Termination reason: Unknown
% 1.63/1.33 % (12285)Termination phase: Saturation
% 1.63/1.33
% 1.63/1.33 % (12285)Memory used [KB]: 5884
% 1.63/1.33 % (12285)Time elapsed: 0.014 s
% 1.63/1.33 % (12285)Instructions burned: 37 (million)
% 1.63/1.33 % (12285)------------------------------
% 1.63/1.33 % (12285)------------------------------
% 1.63/1.33 % (12289)Instruction limit reached!
% 1.63/1.33 % (12289)------------------------------
% 1.63/1.33 % (12289)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.33 % (12289)Termination reason: Unknown
% 1.63/1.33 % (12289)Termination phase: Saturation
% 1.63/1.33
% 1.63/1.33 % (12289)Memory used [KB]: 1023
% 1.63/1.33 % (12289)Time elapsed: 0.004 s
% 1.63/1.33 % (12289)Instructions burned: 8 (million)
% 1.63/1.33 % (12289)------------------------------
% 1.63/1.33 % (12289)------------------------------
% 1.63/1.33 % (12290)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_12088 for (2999ds/16Mi)
% 1.63/1.33 % (12287)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_12088 for (2999ds/3Mi)
% 1.63/1.33 % (12291)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_12088 for (2999ds/3Mi)
% 1.63/1.33 % (12291)Instruction limit reached!
% 1.63/1.33 % (12291)------------------------------
% 1.63/1.33 % (12291)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.33 % (12291)Termination reason: Unknown
% 1.63/1.33 % (12291)Termination phase: Saturation
% 1.63/1.33
% 1.63/1.33 % (12291)Memory used [KB]: 5500
% 1.63/1.33 % (12291)Time elapsed: 0.002 s
% 1.63/1.33 % (12291)Instructions burned: 3 (million)
% 1.63/1.33 % (12291)------------------------------
% 1.63/1.33 % (12291)------------------------------
% 1.63/1.33 % (12288)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_12088 for (2999ds/1041Mi)
% 1.63/1.33 % (12287)Instruction limit reached!
% 1.63/1.33 % (12287)------------------------------
% 1.63/1.33 % (12287)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.33 % (12287)Termination reason: Unknown
% 1.63/1.33 % (12287)Termination phase: Saturation
% 1.63/1.33
% 1.63/1.33 % (12287)Memory used [KB]: 5500
% 1.63/1.33 % (12287)Time elapsed: 0.005 s
% 1.63/1.33 % (12287)Instructions burned: 4 (million)
% 1.63/1.33 % (12287)------------------------------
% 1.63/1.33 % (12287)------------------------------
% 1.63/1.34 % (12290)Instruction limit reached!
% 1.63/1.34 % (12290)------------------------------
% 1.63/1.34 % (12290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.34 % (12290)Termination reason: Unknown
% 1.63/1.34 % (12290)Termination phase: Saturation
% 1.63/1.34
% 1.63/1.34 % (12290)Memory used [KB]: 5628
% 1.63/1.34 % (12290)Time elapsed: 0.029 s
% 1.63/1.34 % (12290)Instructions burned: 17 (million)
% 1.63/1.34 % (12290)------------------------------
% 1.63/1.34 % (12290)------------------------------
% 1.63/1.34 % (12293)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_12088 for (2999ds/7Mi)
% 1.63/1.34 % (12292)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_12088 for (2999ds/3Mi)
% 1.63/1.34 % (12294)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_12088 for (2999ds/3Mi)
% 1.63/1.34 % (12293)Instruction limit reached!
% 1.63/1.34 % (12293)------------------------------
% 1.63/1.34 % (12293)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.34 % (12293)Termination reason: Unknown
% 1.63/1.34 % (12293)Termination phase: Saturation
% 1.63/1.34
% 1.63/1.34 % (12293)Memory used [KB]: 5500
% 1.63/1.34 % (12293)Time elapsed: 0.005 s
% 1.63/1.34 % (12293)Instructions burned: 7 (million)
% 1.63/1.34 % (12293)------------------------------
% 1.63/1.34 % (12293)------------------------------
% 1.63/1.34 % (12294)Instruction limit reached!
% 1.63/1.34 % (12294)------------------------------
% 1.63/1.34 % (12294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.34 % (12294)Termination reason: Unknown
% 1.63/1.34 % (12294)Termination phase: Saturation
% 1.63/1.34
% 1.63/1.34 % (12294)Memory used [KB]: 5500
% 1.63/1.34 % (12294)Time elapsed: 0.002 s
% 1.63/1.34 % (12294)Instructions burned: 3 (million)
% 1.63/1.34 % (12294)------------------------------
% 1.63/1.34 % (12294)------------------------------
% 1.63/1.34 % (12292)Instruction limit reached!
% 1.63/1.34 % (12292)------------------------------
% 1.63/1.34 % (12292)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.34 % (12292)Termination reason: Unknown
% 1.63/1.34 % (12292)Termination phase: Saturation
% 1.63/1.34
% 1.63/1.34 % (12292)Memory used [KB]: 5500
% 1.63/1.34 % (12292)Time elapsed: 0.026 s
% 1.63/1.34 % (12292)Instructions burned: 5 (million)
% 1.63/1.34 % (12292)------------------------------
% 1.63/1.34 % (12292)------------------------------
% 1.63/1.35 % (12297)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_12088 for (2999ds/18Mi)
% 1.63/1.35 % (12297)Refutation not found, incomplete strategy
% 1.63/1.35 % (12297)------------------------------
% 1.63/1.35 % (12297)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.35 % (12297)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.35
% 1.63/1.35
% 1.63/1.35 % (12297)Memory used [KB]: 5500
% 1.63/1.35 % (12297)Time elapsed: 0.001 s
% 1.63/1.35 % (12297)Instructions burned: 1 (million)
% 1.63/1.35 % (12297)------------------------------
% 1.63/1.35 % (12297)------------------------------
% 1.63/1.35 % (12304)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_12088 for (2999ds/902Mi)
% 1.63/1.35 % (12302)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_12088 for (2999ds/710Mi)
% 1.63/1.35 % (12295)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_12088 for (2999ds/4Mi)
% 1.63/1.36 % (12295)Instruction limit reached!
% 1.63/1.36 % (12295)------------------------------
% 1.63/1.36 % (12295)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.36 % (12295)Termination reason: Unknown
% 1.63/1.36 % (12295)Termination phase: Saturation
% 1.63/1.36
% 1.63/1.36 % (12295)Memory used [KB]: 5500
% 1.63/1.36 % (12295)Time elapsed: 0.007 s
% 1.63/1.36 % (12295)Instructions burned: 4 (million)
% 1.63/1.36 % (12295)------------------------------
% 1.63/1.36 % (12295)------------------------------
% 1.63/1.36 % (12306)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_12088 for (2999ds/21Mi)
% 1.63/1.37 % (12303)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_12088 for (2999ds/6Mi)
% 1.63/1.37 % (12306)Instruction limit reached!
% 1.63/1.37 % (12306)------------------------------
% 1.63/1.37 % (12306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.37 % (12306)Termination reason: Unknown
% 1.63/1.37 % (12306)Termination phase: Saturation
% 1.63/1.37
% 1.63/1.37 % (12306)Memory used [KB]: 5628
% 1.63/1.37 % (12306)Time elapsed: 0.011 s
% 1.63/1.37 % (12306)Instructions burned: 23 (million)
% 1.63/1.37 % (12306)------------------------------
% 1.63/1.37 % (12306)------------------------------
% 1.63/1.37 % (12303)Instruction limit reached!
% 1.63/1.37 % (12303)------------------------------
% 1.63/1.37 % (12303)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.37 % (12303)Termination reason: Unknown
% 1.63/1.37 % (12303)Termination phase: Saturation
% 1.63/1.37
% 1.63/1.37 % (12303)Memory used [KB]: 5500
% 1.63/1.37 % (12303)Time elapsed: 0.007 s
% 1.63/1.37 % (12303)Instructions burned: 7 (million)
% 1.63/1.37 % (12303)------------------------------
% 1.63/1.37 % (12303)------------------------------
% 1.63/1.37 % (12315)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_12088 for (2999ds/5Mi)
% 1.63/1.37 % (12315)Instruction limit reached!
% 1.63/1.37 % (12315)------------------------------
% 1.63/1.37 % (12315)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.37 % (12315)Termination reason: Unknown
% 1.63/1.37 % (12315)Termination phase: Saturation
% 1.63/1.37
% 1.63/1.37 % (12315)Memory used [KB]: 5500
% 1.63/1.37 % (12315)Time elapsed: 0.004 s
% 1.63/1.37 % (12315)Instructions burned: 6 (million)
% 1.63/1.37 % (12315)------------------------------
% 1.63/1.37 % (12315)------------------------------
% 1.63/1.38 % (12317)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_12088 for (2999ds/6Mi)
% 1.63/1.38 % (12317)Instruction limit reached!
% 1.63/1.38 % (12317)------------------------------
% 1.63/1.38 % (12317)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.38 % (12317)Termination reason: Unknown
% 1.63/1.38 % (12317)Termination phase: Saturation
% 1.63/1.38
% 1.63/1.38 % (12317)Memory used [KB]: 5500
% 1.63/1.38 % (12317)Time elapsed: 0.003 s
% 1.63/1.38 % (12317)Instructions burned: 6 (million)
% 1.63/1.38 % (12317)------------------------------
% 1.63/1.38 % (12317)------------------------------
% 1.63/1.38 % (12319)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_12088 for (2999ds/779Mi)
% 1.63/1.39 % (12288)Refutation not found, incomplete strategy
% 1.63/1.39 % (12288)------------------------------
% 1.63/1.39 % (12288)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.39 % (12288)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.39
% 1.63/1.39
% 1.63/1.39 % (12288)Memory used [KB]: 5756
% 1.63/1.39 % (12288)Time elapsed: 0.076 s
% 1.63/1.39 % (12288)Instructions burned: 102 (million)
% 1.63/1.39 % (12288)------------------------------
% 1.63/1.39 % (12288)------------------------------
% 1.63/1.39 % (12319)Refutation not found, incomplete strategy
% 1.63/1.39 % (12319)------------------------------
% 1.63/1.39 % (12319)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.39 % (12319)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.39
% 1.63/1.39
% 1.63/1.39 % (12319)Memory used [KB]: 5500
% 1.63/1.39 % (12319)Time elapsed: 0.003 s
% 1.63/1.39 % (12319)Instructions burned: 3 (million)
% 1.63/1.39 % (12319)------------------------------
% 1.63/1.39 % (12319)------------------------------
% 1.63/1.39 % (12318)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_12088 for (2999ds/377Mi)
% 1.63/1.39 % (12277)Instruction limit reached!
% 1.63/1.39 % (12277)------------------------------
% 1.63/1.39 % (12277)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.39 % (12277)Termination reason: Unknown
% 1.63/1.39 % (12277)Termination phase: Saturation
% 1.63/1.39
% 1.63/1.39 % (12277)Memory used [KB]: 6140
% 1.63/1.39 % (12277)Time elapsed: 0.076 s
% 1.63/1.39 % (12277)Instructions burned: 185 (million)
% 1.63/1.39 % (12277)------------------------------
% 1.63/1.39 % (12277)------------------------------
% 1.63/1.39 % (12320)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_12088 for (2999ds/19Mi)
% 1.63/1.40 % (12321)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_12088 for (2999ds/879Mi)
% 1.63/1.40 % (12322)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_12088 for (2999ds/17Mi)
% 1.63/1.40 % (12320)Instruction limit reached!
% 1.63/1.40 % (12320)------------------------------
% 1.63/1.40 % (12320)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.40 % (12320)Termination reason: Unknown
% 1.63/1.40 % (12320)Termination phase: Saturation
% 1.63/1.40
% 1.63/1.40 % (12320)Memory used [KB]: 5628
% 1.63/1.40 % (12320)Time elapsed: 0.008 s
% 1.63/1.40 % (12320)Instructions burned: 21 (million)
% 1.63/1.40 % (12320)------------------------------
% 1.63/1.40 % (12320)------------------------------
% 1.63/1.40 % (12323)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_12088 for (2999ds/3Mi)
% 1.63/1.40 % (12323)Instruction limit reached!
% 1.63/1.40 % (12323)------------------------------
% 1.63/1.40 % (12323)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.40 % (12323)Termination reason: Unknown
% 1.63/1.40 % (12323)Termination phase: Saturation
% 1.63/1.40
% 1.63/1.40 % (12323)Memory used [KB]: 5500
% 1.63/1.40 % (12323)Time elapsed: 0.003 s
% 1.63/1.40 % (12323)Instructions burned: 3 (million)
% 1.63/1.40 % (12323)------------------------------
% 1.63/1.40 % (12323)------------------------------
% 1.63/1.40 % (12321)Refutation not found, incomplete strategy
% 1.63/1.40 % (12321)------------------------------
% 1.63/1.40 % (12321)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.40 % (12321)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.40
% 1.63/1.40
% 1.63/1.40 % (12321)Memory used [KB]: 5628
% 1.63/1.40 % (12321)Time elapsed: 0.007 s
% 1.63/1.40 % (12321)Instructions burned: 13 (million)
% 1.63/1.40 % (12321)------------------------------
% 1.63/1.40 % (12321)------------------------------
% 1.63/1.40 % (12322)Instruction limit reached!
% 1.63/1.40 % (12322)------------------------------
% 1.63/1.40 % (12322)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.40 % (12322)Termination reason: Unknown
% 1.63/1.40 % (12322)Termination phase: Saturation
% 1.63/1.40
% 1.63/1.40 % (12322)Memory used [KB]: 5628
% 1.63/1.40 % (12322)Time elapsed: 0.009 s
% 1.63/1.40 % (12322)Instructions burned: 19 (million)
% 1.63/1.40 % (12322)------------------------------
% 1.63/1.40 % (12322)------------------------------
% 1.63/1.41 % (12324)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_12088 for (2998ds/30Mi)
% 1.63/1.41 % (12325)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_12088 for (2998ds/127Mi)
% 1.63/1.41 % (12326)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_12088 for (2998ds/100Mi)
% 1.63/1.41 % (12326)Refutation not found, incomplete strategy
% 1.63/1.41 % (12326)------------------------------
% 1.63/1.41 % (12326)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.41 % (12326)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.41
% 1.63/1.41
% 1.63/1.41 % (12326)Memory used [KB]: 5500
% 1.63/1.41 % (12326)Time elapsed: 0.002 s
% 1.63/1.41 % (12326)Instructions burned: 1 (million)
% 1.63/1.41 % (12326)------------------------------
% 1.63/1.41 % (12326)------------------------------
% 1.63/1.41 % (12324)Refutation not found, incomplete strategy
% 1.63/1.41 % (12324)------------------------------
% 1.63/1.41 % (12324)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.41 % (12324)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.41
% 1.63/1.41
% 1.63/1.41 % (12324)Memory used [KB]: 5628
% 1.63/1.41 % (12324)Time elapsed: 0.008 s
% 1.63/1.41 % (12324)Instructions burned: 19 (million)
% 1.63/1.41 % (12324)------------------------------
% 1.63/1.41 % (12324)------------------------------
% 1.63/1.41 % (12327)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_12088 for (2998ds/3Mi)
% 1.63/1.42 % (12327)Instruction limit reached!
% 1.63/1.42 % (12327)------------------------------
% 1.63/1.42 % (12327)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.42 % (12327)Termination reason: Unknown
% 1.63/1.42 % (12327)Termination phase: Saturation
% 1.63/1.42
% 1.63/1.42 % (12327)Memory used [KB]: 5500
% 1.63/1.42 % (12327)Time elapsed: 0.003 s
% 1.63/1.42 % (12327)Instructions burned: 3 (million)
% 1.63/1.42 % (12327)------------------------------
% 1.63/1.42 % (12327)------------------------------
% 1.63/1.42 % (12328)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_12088 for (2998ds/20Mi)
% 1.63/1.42 % (12329)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_12088 for (2998ds/86Mi)
% 1.63/1.43 % (12330)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_12088 for (2998ds/107Mi)
% 1.63/1.43 % (12329)Refutation not found, incomplete strategy
% 1.63/1.43 % (12329)------------------------------
% 1.63/1.43 % (12329)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.43 % (12329)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.43
% 1.63/1.43
% 1.63/1.43 % (12329)Memory used [KB]: 5500
% 1.63/1.43 % (12329)Time elapsed: 0.004 s
% 1.63/1.43 % (12329)Instructions burned: 8 (million)
% 1.63/1.43 % (12329)------------------------------
% 1.63/1.43 % (12329)------------------------------
% 1.63/1.43 % (12330)Refutation not found, incomplete strategy
% 1.63/1.43 % (12330)------------------------------
% 1.63/1.43 % (12330)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.43 % (12330)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.43
% 1.63/1.43
% 1.63/1.43 % (12330)Memory used [KB]: 5500
% 1.63/1.43 % (12330)Time elapsed: 0.002 s
% 1.63/1.43 % (12330)Instructions burned: 1 (million)
% 1.63/1.43 % (12330)------------------------------
% 1.63/1.43 % (12330)------------------------------
% 1.63/1.43 % (12328)Refutation not found, incomplete strategy
% 1.63/1.43 % (12328)------------------------------
% 1.63/1.43 % (12328)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.43 % (12328)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.43
% 1.63/1.43
% 1.63/1.43 % (12328)Memory used [KB]: 5500
% 1.63/1.43 % (12328)Time elapsed: 0.005 s
% 1.63/1.43 % (12328)Instructions burned: 8 (million)
% 1.63/1.43 % (12328)------------------------------
% 1.63/1.43 % (12328)------------------------------
% 1.63/1.44 % (12331)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_12088 for (2998ds/39Mi)
% 1.63/1.44 % (12333)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_12088 for (2998ds/46Mi)
% 1.63/1.44 % (12332)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_12088 for (2998ds/448Mi)
% 1.63/1.45 % (12333)Refutation not found, incomplete strategy
% 1.63/1.45 % (12333)------------------------------
% 1.63/1.45 % (12333)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.45 % (12333)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.45
% 1.63/1.45
% 1.63/1.45 % (12333)Memory used [KB]: 5628
% 1.63/1.45 % (12333)Time elapsed: 0.011 s
% 1.63/1.45 % (12333)Instructions burned: 25 (million)
% 1.63/1.45 % (12333)------------------------------
% 1.63/1.45 % (12333)------------------------------
% 1.63/1.45 % (12331)Instruction limit reached!
% 1.63/1.45 % (12331)------------------------------
% 1.63/1.45 % (12331)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.45 % (12331)Termination reason: Unknown
% 1.63/1.45 % (12331)Termination phase: Saturation
% 1.63/1.45
% 1.63/1.45 % (12331)Memory used [KB]: 5756
% 1.63/1.45 % (12331)Time elapsed: 0.013 s
% 1.63/1.45 % (12331)Instructions burned: 42 (million)
% 1.63/1.45 % (12331)------------------------------
% 1.63/1.45 % (12331)------------------------------
% 1.63/1.46 % (12325)Instruction limit reached!
% 1.63/1.46 % (12325)------------------------------
% 1.63/1.46 % (12325)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.46 % (12325)Termination reason: Unknown
% 1.63/1.46 % (12325)Termination phase: Saturation
% 1.63/1.46
% 1.63/1.46 % (12325)Memory used [KB]: 5884
% 1.63/1.46 % (12325)Time elapsed: 0.046 s
% 1.63/1.46 % (12325)Instructions burned: 128 (million)
% 1.63/1.46 % (12325)------------------------------
% 1.63/1.46 % (12325)------------------------------
% 1.63/1.46 % (12335)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_12088 for (2998ds/507Mi)
% 1.63/1.46 % (12334)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_12088 for (2998ds/98Mi)
% 1.63/1.46 % (12334)Refutation not found, incomplete strategy
% 1.63/1.46 % (12334)------------------------------
% 1.63/1.46 % (12334)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.46 % (12334)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.46
% 1.63/1.46
% 1.63/1.46 % (12334)Memory used [KB]: 1023
% 1.63/1.46 % (12334)Time elapsed: 0.003 s
% 1.63/1.46 % (12334)Instructions burned: 3 (million)
% 1.63/1.46 % (12334)------------------------------
% 1.63/1.46 % (12334)------------------------------
% 1.63/1.47 % (12336)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_12088 for (2998ds/149Mi)
% 1.63/1.47 % (12337)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_12088 for (2998ds/39Mi)
% 1.63/1.50 % (12337)Instruction limit reached!
% 1.63/1.50 % (12337)------------------------------
% 1.63/1.50 % (12337)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.50 % (12337)Termination reason: Unknown
% 1.63/1.50 % (12337)Termination phase: Saturation
% 1.63/1.50
% 1.63/1.50 % (12337)Memory used [KB]: 5628
% 1.63/1.50 % (12337)Time elapsed: 0.024 s
% 1.63/1.50 % (12337)Instructions burned: 40 (million)
% 1.63/1.50 % (12337)------------------------------
% 1.63/1.50 % (12337)------------------------------
% 1.63/1.51 % (12338)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_12088 for (2998ds/6Mi)
% 1.63/1.51 % (12338)Instruction limit reached!
% 1.63/1.51 % (12338)------------------------------
% 1.63/1.51 % (12338)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.51 % (12338)Termination reason: Unknown
% 1.63/1.51 % (12338)Termination phase: Saturation
% 1.63/1.51
% 1.63/1.51 % (12338)Memory used [KB]: 9978
% 1.63/1.51 % (12338)Time elapsed: 0.006 s
% 1.63/1.51 % (12338)Instructions burned: 7 (million)
% 1.63/1.51 % (12338)------------------------------
% 1.63/1.51 % (12338)------------------------------
% 1.63/1.52 % (12336)Instruction limit reached!
% 1.63/1.52 % (12336)------------------------------
% 1.63/1.52 % (12336)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.52 % (12336)Termination reason: Unknown
% 1.63/1.52 % (12336)Termination phase: Saturation
% 1.63/1.52
% 1.63/1.52 % (12336)Memory used [KB]: 5884
% 1.63/1.52 % (12336)Time elapsed: 0.051 s
% 1.63/1.52 % (12336)Instructions burned: 150 (million)
% 1.63/1.52 % (12336)------------------------------
% 1.63/1.52 % (12336)------------------------------
% 1.63/1.52 % (12339)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_12088 for (2997ds/1087Mi)
% 1.63/1.53 % (12340)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_12088 for (2997ds/47Mi)
% 1.63/1.53 % (12339)Refutation not found, incomplete strategy
% 1.63/1.53 % (12339)------------------------------
% 1.63/1.53 % (12339)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.53 % (12339)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.53
% 1.63/1.53
% 1.63/1.53 % (12339)Memory used [KB]: 5500
% 1.63/1.53 % (12339)Time elapsed: 0.007 s
% 1.63/1.53 % (12339)Instructions burned: 13 (million)
% 1.63/1.53 % (12339)------------------------------
% 1.63/1.53 % (12339)------------------------------
% 1.63/1.53 % (12318)Instruction limit reached!
% 1.63/1.53 % (12318)------------------------------
% 1.63/1.53 % (12318)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.53 % (12318)Termination reason: Unknown
% 1.63/1.53 % (12318)Termination phase: Saturation
% 1.63/1.53
% 1.63/1.53 % (12318)Memory used [KB]: 6268
% 1.63/1.53 % (12318)Time elapsed: 0.141 s
% 1.63/1.53 % (12318)Instructions burned: 378 (million)
% 1.63/1.53 % (12318)------------------------------
% 1.63/1.53 % (12318)------------------------------
% 1.63/1.54 % (12342)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_12088 for (2997ds/44Mi)
% 1.63/1.54 % (12343)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_12088 for (2997ds/432Mi)
% 1.63/1.54 % (12342)Refutation not found, incomplete strategy
% 1.63/1.54 % (12342)------------------------------
% 1.63/1.54 % (12342)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.54 % (12342)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.54
% 1.63/1.54
% 1.63/1.54 % (12342)Memory used [KB]: 1023
% 1.63/1.54 % (12342)Time elapsed: 0.003 s
% 1.63/1.54 % (12342)Instructions burned: 3 (million)
% 1.63/1.54 % (12342)------------------------------
% 1.63/1.54 % (12342)------------------------------
% 1.63/1.54 % (12340)Instruction limit reached!
% 1.63/1.54 % (12340)------------------------------
% 1.63/1.54 % (12340)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.54 % (12340)Termination reason: Unknown
% 1.63/1.54 % (12340)Termination phase: Saturation
% 1.63/1.54
% 1.63/1.54 % (12340)Memory used [KB]: 5628
% 1.63/1.54 % (12340)Time elapsed: 0.019 s
% 1.63/1.54 % (12340)Instructions burned: 49 (million)
% 1.63/1.54 % (12340)------------------------------
% 1.63/1.54 % (12340)------------------------------
% 1.63/1.55 % (12348)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_12088 for (2997ds/62Mi)
% 1.63/1.55 % (12351)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_12088 for (2997ds/31Mi)
% 1.63/1.56 % (12351)Instruction limit reached!
% 1.63/1.56 % (12351)------------------------------
% 1.63/1.56 % (12351)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.56 % (12351)Termination reason: Unknown
% 1.63/1.56 % (12351)Termination phase: Saturation
% 1.63/1.56
% 1.63/1.56 % (12351)Memory used [KB]: 5628
% 1.63/1.56 % (12351)Time elapsed: 0.013 s
% 1.63/1.56 % (12351)Instructions burned: 31 (million)
% 1.63/1.56 % (12351)------------------------------
% 1.63/1.56 % (12351)------------------------------
% 1.63/1.57 % (12348)Instruction limit reached!
% 1.63/1.57 % (12348)------------------------------
% 1.63/1.57 % (12348)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.57 % (12348)Termination reason: Unknown
% 1.63/1.57 % (12348)Termination phase: Saturation
% 1.63/1.57
% 1.63/1.57 % (12348)Memory used [KB]: 5884
% 1.63/1.57 % (12348)Time elapsed: 0.022 s
% 1.63/1.57 % (12348)Instructions burned: 63 (million)
% 1.63/1.57 % (12348)------------------------------
% 1.63/1.57 % (12348)------------------------------
% 1.63/1.57 % (12302)Instruction limit reached!
% 1.63/1.57 % (12302)------------------------------
% 1.63/1.57 % (12302)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.57 % (12302)Termination reason: Unknown
% 1.63/1.57 % (12302)Termination phase: Saturation
% 1.63/1.57
% 1.63/1.57 % (12361)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_12088 for (2997ds/96Mi)
% 1.63/1.57 % (12302)Memory used [KB]: 7419
% 1.63/1.57 % (12302)Time elapsed: 0.222 s
% 1.63/1.57 % (12302)Instructions burned: 712 (million)
% 1.63/1.57 % (12302)------------------------------
% 1.63/1.57 % (12302)------------------------------
% 1.63/1.58 % (12343)First to succeed.
% 1.63/1.58 % (12343)Refutation found. Thanks to Tanya!
% 1.63/1.58 % SZS status Theorem for DTF2THF_12088
% 1.63/1.58 % SZS output start Proof for DTF2THF_12088
% 1.63/1.58 thf(func_def_0, type, f: $i > $i).
% 1.63/1.58 thf(func_def_1, type, g: $i > $i).
% 1.63/1.58 thf(func_def_13, type, ph0: !>[X0: $tType]:(X0)).
% 1.63/1.58 thf(func_def_17, type, sK2: $i > $i).
% 1.63/1.58 thf(f130,plain,(
% 1.63/1.58 $false),
% 1.63/1.58 inference(trivial_inequality_removal,[status(thm)],[f129])).
% 1.63/1.58 thf(f129,plain,(
% 1.63/1.58 ((f @ (f @ (sK2 @ sK3))) != (f @ (f @ (sK2 @ sK3))))),
% 1.63/1.58 inference(forward_demodulation,[status(thm)],[f128,f101])).
% 1.63/1.58 thf(f101,plain,(
% 1.63/1.58 ( ! [X1 : $i] : (((sK2 @ (f @ X1)) = (f @ (sK2 @ X1)))) )),
% 1.63/1.58 inference(beta_eta_normalization,[status(thm)],[f95])).
% 1.63/1.58 thf(f95,plain,(
% 1.63/1.58 ( ! [X1 : $i] : ((((^[Y0 : $i]: (f @ (sK2 @ Y0))) @ X1) = ((^[Y0 : $i]: (sK2 @ (f @ Y0))) @ X1))) )),
% 1.63/1.58 inference(argument_congruence,[status(thm)],[f78])).
% 1.63/1.58 thf(f78,plain,(
% 1.63/1.58 ((^[Y0 : $i]: (f @ (sK2 @ Y0))) = (^[Y0 : $i]: (sK2 @ (f @ Y0))))),
% 1.63/1.58 inference(equality_proxy_clausification,[status(thm)],[f56])).
% 1.63/1.58 thf(f56,plain,(
% 1.63/1.58 (((^[Y0 : $i]: (f @ (sK2 @ Y0))) = (^[Y0 : $i]: (sK2 @ (f @ Y0)))) = $true)),
% 1.63/1.58 inference(binary_proxy_clausification,[status(thm)],[f54])).
% 1.63/1.58 thf(f54,plain,(
% 1.63/1.58 ((((^[Y0 : $i]: (f @ (sK2 @ Y0))) = (^[Y0 : $i]: (sK2 @ (f @ Y0)))) => ((^[Y0 : $i]: (f @ (f @ (sK2 @ Y0)))) = (^[Y0 : $i]: (f @ (sK2 @ (f @ Y0)))))) = $false)),
% 1.63/1.58 inference(beta_eta_normalization,[status(thm)],[f47])).
% 1.63/1.58 thf(f47,plain,(
% 1.63/1.58 (((^[Y0 : $i > $i]: (((^[Y1 : $i]: (f @ (Y0 @ Y1))) = (^[Y1 : $i]: (Y0 @ (f @ Y1)))) => ((^[Y1 : $i]: (f @ (f @ (Y0 @ Y1)))) = (^[Y1 : $i]: (f @ (Y0 @ (f @ Y1))))))) @ sK2) = $false)),
% 1.63/1.58 inference(sigma_clausification,[status(thm)],[f46])).
% 1.63/1.58 thf(f46,plain,(
% 1.63/1.58 ((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (((^[Y1 : $i]: (f @ (Y0 @ Y1))) = (^[Y1 : $i]: (Y0 @ (f @ Y1)))) => ((^[Y1 : $i]: (f @ (f @ (Y0 @ Y1)))) = (^[Y1 : $i]: (f @ (Y0 @ (f @ Y1)))))))) = $false)),
% 1.63/1.58 inference(not_proxy_clausification,[status(thm)],[f39])).
% 1.63/1.58 thf(f39,plain,(
% 1.63/1.58 ((~ (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (((^[Y1 : $i]: (f @ (Y0 @ Y1))) = (^[Y1 : $i]: (Y0 @ (f @ Y1)))) => ((^[Y1 : $i]: (f @ (f @ (Y0 @ Y1)))) = (^[Y1 : $i]: (f @ (Y0 @ (f @ Y1))))))))) = $true)),
% 1.63/1.58 inference(boolean_simplification,[status(thm)],[f38])).
% 1.63/1.58 thf(f38,plain,(
% 1.63/1.58 ((~ ($true & (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (((^[Y1 : $i]: (f @ (Y0 @ Y1))) = (^[Y1 : $i]: (Y0 @ (f @ Y1)))) => ((^[Y1 : $i]: (f @ (f @ (Y0 @ Y1)))) = (^[Y1 : $i]: (f @ (Y0 @ (f @ Y1)))))))))) = $true)),
% 1.63/1.58 inference(boolean_simplification,[status(thm)],[f37])).
% 1.63/1.58 thf(f37,plain,(
% 1.63/1.58 ($true = (~ (((^[Y0 : $i]: (f @ (f @ Y0))) = (^[Y0 : $i]: (f @ (f @ Y0)))) & (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (((^[Y1 : $i]: (f @ (Y0 @ Y1))) = (^[Y1 : $i]: (Y0 @ (f @ Y1)))) => ((^[Y1 : $i]: (f @ (f @ (Y0 @ Y1)))) = (^[Y1 : $i]: (f @ (Y0 @ (f @ Y1)))))))))))),
% 1.63/1.58 inference(boolean_simplification,[status(thm)],[f36])).
% 1.63/1.58 thf(f36,plain,(
% 1.63/1.58 ($true = ((((^[Y0 : $i]: (f @ (f @ Y0))) = (^[Y0 : $i]: (f @ (f @ Y0)))) & (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (((^[Y1 : $i]: (f @ (Y0 @ Y1))) = (^[Y1 : $i]: (Y0 @ (f @ Y1)))) => ((^[Y1 : $i]: (f @ (f @ (Y0 @ Y1)))) = (^[Y1 : $i]: (f @ (Y0 @ (f @ Y1))))))))) => $false))),
% 1.63/1.58 inference(beta_eta_normalization,[status(thm)],[f29])).
% 1.63/1.58 thf(f29,plain,(
% 1.63/1.58 (((((^[Y0 : $i > $i]: (((^[Y1 : $i > $i]: ((^[Y2 : $i]: (f @ ((^[Y3 : $i > $i]: ((^[Y4 : $i]: (Y3 @ ((^[Y5 : $i > $i]: ((^[Y6 : $i]: (Y6)))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ Y0) = ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (Y1 @ ((^[Y3 : $i > $i]: ((^[Y4 : $i]: (f @ ((^[Y5 : $i > $i]: ((^[Y6 : $i]: (Y6)))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ Y0))) @ f) & (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (((^[Y1 : $i > $i]: (((^[Y2 : $i > $i]: ((^[Y3 : $i]: (f @ ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (Y4 @ ((^[Y6 : $i > $i]: ((^[Y7 : $i]: (Y7)))) @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ Y1) = ((^[Y2 : $i > $i]: ((^[Y3 : $i]: (Y2 @ ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (f @ ((^[Y6 : $i > $i]: ((^[Y7 : $i]: (Y7)))) @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ Y1))) @ Y0) => ((^[Y1 : $i > $i]: (((^[Y2 : $i > $i]: ((^[Y3 : $i]: (f @ ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (Y4 @ ((^[Y6 : $i > $i]: ((^[Y7 : $i]: (Y7)))) @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ Y1) = ((^[Y2 : $i > $i]: ((^[Y3 : $i]: (Y2 @ ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (f @ ((^[Y6 : $i > $i]: ((^[Y7 : $i]: (Y7)))) @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ Y1))) @ (^[Y1 : $i]: (f @ (Y0 @ Y1)))))))) => $false) = $true)),
% 1.63/1.58 inference(superposition,[status(thm)],[f25,f8])).
% 1.63/1.58 thf(f8,plain,(
% 1.63/1.58 ($false = ((^[Y0 : $i]: (f @ (g @ Y0))) = (^[Y0 : $i]: (g @ (f @ Y0)))))),
% 1.63/1.58 inference(binary_proxy_clausification,[status(thm)],[f7])).
% 1.63/1.58 thf(f7,plain,(
% 1.63/1.58 (((!! @ (($i > $i) > $o) @ (^[Y0 : ($i > $i) > $o]: (((Y0 @ f) & (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i]: (f @ (Y1 @ Y2)))))))) => (Y0 @ g)))) => ((^[Y0 : $i]: (f @ (g @ Y0))) = (^[Y0 : $i]: (g @ (f @ Y0))))) = $false)),
% 1.63/1.58 inference(not_proxy_clausification,[status(thm)],[f6])).
% 1.63/1.58 thf(f6,plain,(
% 1.63/1.58 ($true = (~ ((!! @ (($i > $i) > $o) @ (^[Y0 : ($i > $i) > $o]: (((Y0 @ f) & (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i]: (f @ (Y1 @ Y2)))))))) => (Y0 @ g)))) => ((^[Y0 : $i]: (f @ (g @ Y0))) = (^[Y0 : $i]: (g @ (f @ Y0)))))))),
% 1.63/1.58 inference(cnf_transformation,[status(thm)],[f5])).
% 1.63/1.58 thf(f5,plain,(
% 1.63/1.58 ($true = (~ ((!! @ (($i > $i) > $o) @ (^[Y0 : ($i > $i) > $o]: (((Y0 @ f) & (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i]: (f @ (Y1 @ Y2)))))))) => (Y0 @ g)))) => ((^[Y0 : $i]: (f @ (g @ Y0))) = (^[Y0 : $i]: (g @ (f @ Y0)))))))),
% 1.63/1.58 inference(fool_elimination,[status(thm)],[f4])).
% 1.63/1.58 thf(f4,plain,(
% 1.63/1.58 ~(! [X0 : ($i > $i) > $o] : ((! [X1 : $i > $i] : ((X0 @ X1) => (X0 @ (^[X2 : $i] : (f @ (X1 @ X2))))) & (X0 @ f)) => (X0 @ g)) => ((^[X3 : $i] : (f @ (g @ X3))) = (^[X4 : $i] : (g @ (f @ X4)))))),
% 1.63/1.58 inference(rectify,[status(thm)],[f2])).
% 1.63/1.58 thf(f2,negated_conjecture,(
% 1.63/1.58 ~(! [X0 : ($i > $i) > $o] : ((! [X1 : $i > $i] : ((X0 @ X1) => (X0 @ (^[X2 : $i] : (f @ (X1 @ X2))))) & (X0 @ f)) => (X0 @ g)) => ((^[X2 : $i] : (f @ (g @ X2))) = (^[X2 : $i] : (g @ (f @ X2)))))),
% 1.63/1.58 inference(negated_conjecture,[status(cth)],[f1])).
% 1.63/1.58 thf(f1,conjecture,(
% 1.63/1.58 ! [X0 : ($i > $i) > $o] : ((! [X1 : $i > $i] : ((X0 @ X1) => (X0 @ (^[X2 : $i] : (f @ (X1 @ X2))))) & (X0 @ f)) => (X0 @ g)) => ((^[X2 : $i] : (f @ (g @ X2))) = (^[X2 : $i] : (g @ (f @ X2))))),
% 1.63/1.58 file('/export/starexec/sandbox/tmp/tmp.Ucgo7bIxLf/DTF2THF_12088.p',cTHM170_pme)).
% 1.63/1.58 thf(f25,plain,(
% 1.63/1.58 ( ! [X1 : ($i > $i) > $o] : (((((X1 @ f) & (!! @ ($i > $i) @ (^[Y0 : $i > $i]: ((X1 @ Y0) => (X1 @ (^[Y1 : $i]: (f @ (Y0 @ Y1)))))))) => (X1 @ g)) = $true)) )),
% 1.63/1.58 inference(beta_eta_normalization,[status(thm)],[f20])).
% 1.63/1.58 thf(f20,plain,(
% 1.63/1.58 ( ! [X1 : ($i > $i) > $o] : ((((^[Y0 : ($i > $i) > $o]: (((Y0 @ f) & (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i]: (f @ (Y1 @ Y2)))))))) => (Y0 @ g))) @ X1) = $true)) )),
% 1.63/1.58 inference(pi_clausification,[status(thm)],[f9])).
% 1.63/1.58 thf(f9,plain,(
% 1.63/1.58 ($true = (!! @ (($i > $i) > $o) @ (^[Y0 : ($i > $i) > $o]: (((Y0 @ f) & (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i]: (f @ (Y1 @ Y2)))))))) => (Y0 @ g)))))),
% 1.63/1.58 inference(binary_proxy_clausification,[status(thm)],[f7])).
% 1.63/1.58 thf(f128,plain,(
% 1.63/1.58 ((f @ (f @ (sK2 @ sK3))) != (f @ (sK2 @ (f @ sK3))))),
% 1.63/1.58 inference(beta_eta_normalization,[status(thm)],[f127])).
% 1.63/1.58 thf(f127,plain,(
% 1.63/1.58 (((^[Y0 : $i]: (f @ (sK2 @ (f @ Y0)))) @ sK3) != ((^[Y0 : $i]: (f @ (f @ (sK2 @ Y0)))) @ sK3))),
% 1.63/1.58 inference(negative_extensionality,[status(thm)],[f102])).
% 1.63/1.58 thf(f102,plain,(
% 1.63/1.58 ((^[Y0 : $i]: (f @ (f @ (sK2 @ Y0)))) != (^[Y0 : $i]: (f @ (sK2 @ (f @ Y0)))))),
% 1.63/1.58 inference(equality_proxy_clausification,[status(thm)],[f55])).
% 1.63/1.58 thf(f55,plain,(
% 1.63/1.58 ($false = ((^[Y0 : $i]: (f @ (f @ (sK2 @ Y0)))) = (^[Y0 : $i]: (f @ (sK2 @ (f @ Y0))))))),
% 1.63/1.58 inference(binary_proxy_clausification,[status(thm)],[f54])).
% 1.63/1.58 % SZS output end Proof for DTF2THF_12088
% 1.63/1.58 % (12343)------------------------------
% 1.63/1.58 % (12343)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.58 % (12343)Termination reason: Refutation
% 1.63/1.58
% 1.63/1.58 % (12343)Memory used [KB]: 1663
% 1.63/1.58 % (12343)Time elapsed: 0.039 s
% 1.63/1.58 % (12343)Instructions burned: 114 (million)
% 1.63/1.58 % (12343)------------------------------
% 1.63/1.58 % (12343)------------------------------
% 1.63/1.58 % (12276)Success in time 0.276 s
%------------------------------------------------------------------------------