%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU950^5 : 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 09:37:49 AM UTC 2026
% Result : Theorem 1.59s 1.46s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 24 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 114 ( 59 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 161 ( 7 ~; 3 |; 0 &; 108 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 91 ( 91 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 4 usr; 4 con; 0-2 aty)
% ( 16 !!; 12 ??; 0 @@+; 0 @@-)
% Number of variables : 67 ( 33 ^; 30 !; 4 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
h: ( $i > $o ) > $i ).
thf(func_def_14,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_15,type,
sK2: ( $i > $i > $o ) > $i > $o ).
thf(func_def_16,type,
inv_h_3: $i > $i > $o ).
thf(f29,plain,
$false,
inference(equality_resolution,[status(thm)],[f26]) ).
thf(f26,plain,
! [X0: $i > $o] :
( ( sK2 @ inv_h_3 )
!= X0 ),
inference(superposition,[status(thm)],[f15,f23]) ).
thf(f23,plain,
! [X1: $i > $o] :
( ( inv_h_3 @ ( h @ X1 ) )
= X1 ),
inference(injectivity,[status(thm)],[f22]) ).
thf(f22,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( ( h @ X1 )
!= ( h @ X2 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[status(thm)],[f21]) ).
thf(f21,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( ( h @ X1 )
!= ( h @ X2 ) )
| ( ( X2 = X1 )
= $true ) ),
inference(equality_proxy_clausification,[status(thm)],[f20]) ).
thf(f20,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( ( ( h @ X2 )
= ( h @ X1 ) )
= $false )
| ( ( X2 = X1 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f19]) ).
thf(f19,plain,
! [X2: $i > $o,X1: $i > $o] :
( $true
= ( ( ( h @ X2 )
= ( h @ X1 ) )
=> ( X2 = X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f18]) ).
thf(f18,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( ^ [Y0: $i > $o] :
( ( ( h @ Y0 )
= ( h @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f17]) ).
thf(f17,plain,
! [X1: $i > $o] :
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( h @ Y0 )
= ( h @ X1 ) )
=> ( Y0 = X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f16]) ).
thf(f16,plain,
! [X1: $i > $o] :
( ( ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( ( h @ Y1 )
= ( h @ Y0 ) )
=> ( Y1 = Y0 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f8]) ).
thf(f8,plain,
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( ( h @ Y1 )
= ( h @ Y0 ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f6]) ).
thf(f6,plain,
( ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( ( h @ Y1 )
= ( h @ Y0 ) )
=> ( Y1 = Y0 ) ) ) )
=> ( ?? @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( ( h @ Y1 )
= ( h @ Y0 ) )
=> ( Y1 = Y0 ) ) ) )
=> ( ?? @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
thf(f4,plain,
( $true
= ( ~ ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( ( h @ Y1 )
= ( h @ Y0 ) )
=> ( Y1 = Y0 ) ) ) )
=> ( ?? @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: $i > $o,X1: $i > $o] :
( ( ( h @ X0 )
= ( h @ X1 ) )
=> ( X0 = X1 ) )
=> ? [X2: $i > $i > $o] :
! [X3: $i > $o] :
? [X4: $i] :
( ( X2 @ X4 )
= X3 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ! [X0: $i > $o,X1: $i > $o] :
( ( ( h @ X0 )
= ( h @ X1 ) )
=> ( X0 = X1 ) )
=> ? [X2: $i > $i > $o] :
! [X3: $i > $o] :
? [X4: $i] :
( ( X2 @ X4 )
= X3 ) ),
file('/export/starexec/sandbox/tmp/tmp.aTPrjkZDKe/DTF2THF_10705.p',cTHM573_pme) ).
thf(f15,plain,
! [X2: $i,X1: $i > $i > $o] :
( ( sK2 @ X1 )
!= ( X1 @ X2 ) ),
inference(equality_proxy_clausification,[status(thm)],[f14]) ).
thf(f14,plain,
! [X2: $i,X1: $i > $i > $o] :
( ( ( X1 @ X2 )
= ( sK2 @ X1 ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f13]) ).
thf(f13,plain,
! [X2: $i,X1: $i > $i > $o] :
( ( ^ [Y0: $i] :
( ( X1 @ Y0 )
= ( sK2 @ X1 ) )
@ X2 )
= $false ),
inference(pi_clausification,[status(thm)],[f12]) ).
thf(f12,plain,
! [X1: $i > $i > $o] :
( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
= ( sK2 @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f11]) ).
thf(f11,plain,
! [X1: $i > $i > $o] :
( $false
= ( ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y1 )
= Y0 ) )
@ ( sK2 @ X1 ) ) ),
inference(sigma_clausification,[status(thm)],[f10]) ).
thf(f10,plain,
! [X1: $i > $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y1 )
= Y0 ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f9]) ).
thf(f9,plain,
! [X1: $i > $i > $o] :
( ( ^ [Y0: $i > $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) )
@ X1 )
= $false ),
inference(pi_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( ( ?? @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU950^5 : TPTP v9.2.1. Released v4.0.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.34 % Computer : n017.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Feb 24 12:35:41 EST 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.20/0.47 ---- Original DTF file ---
% 0.31/0.47 thf(spec,logic,$$dhol).
% 0.31/0.47 %------------------------------------------------------------------------------
% 0.31/0.47 % File : SEU950^5 : TPTP v9.2.1. Released v4.0.0.
% 0.31/0.47 % Domain : Set Theory (Functions)
% 0.31/0.47 % Problem : TPS problem THM573
% 0.31/0.47 % Version : Especial.
% 0.31/0.47 % English : Challenge from Dana Scott stemming from injective Cantor Theorem.
% 0.31/0.47
% 0.31/0.47 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.31/0.47 % Source : [Bro09]
% 0.31/0.47 % Names : tps_0576 [Bro09]
% 0.31/0.47 % : THM573 [TPS]
% 0.31/0.47
% 0.31/0.47 % Status : Theorem
% 0.31/0.47 % Rating : 0.56 v9.1.0, 0.50 v8.2.0, 0.69 v8.1.0, 0.64 v7.5.0, 0.43 v7.4.0, 0.78 v7.3.0, 0.89 v7.2.0, 0.88 v7.0.0, 0.86 v6.4.0, 0.83 v6.3.0, 0.80 v6.2.0, 0.86 v5.5.0, 1.00 v4.0.0
% 0.31/0.47 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.31/0.47 % Number of atoms : 3 ( 3 equ; 0 cnn)
% 0.31/0.47 % Maximal formula atoms : 3 ( 3 avg)
% 0.31/0.47 % Number of connectives : 5 ( 0 ~; 0 |; 0 &; 3 @)
% 0.31/0.47 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.31/0.47 % Maximal formula depth : 5 ( 5 avg)
% 0.31/0.47 % Number of types : 2 ( 0 usr)
% 0.31/0.47 % Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% 0.31/0.47 % Number of symbols : 2 ( 1 usr; 0 con; 1-2 aty)
% 0.31/0.47 % Number of variables : 5 ( 0 ^; 3 !; 2 ?; 5 :)
% 0.31/0.47 % SPC : TH0_THM_EQU_NAR
% 0.31/0.47
% 0.31/0.47 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.31/0.47 % project in the Department of Mathematical Sciences at Carnegie
% 0.31/0.47 % Mellon University. Distributed under the Creative Commons copyleft
% 0.31/0.47 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.31/0.47 % : Polymorphic definitions expanded.
% 0.31/0.47 %------------------------------------------------------------------------------
% 0.31/0.47 thf(h,type,
% 0.31/0.47 h: ( $i > $o ) > $i ).
% 0.31/0.47
% 0.31/0.47 thf(cTHM573_pme,conjecture,
% 0.31/0.47 ( ! [Xx: $i > $o,Xy: $i > $o] :
% 0.31/0.47 ( ( ( h @ Xx )
% 0.31/0.47 = ( h @ Xy ) )
% 0.31/0.47 => ( Xx = Xy ) )
% 0.31/0.47 => ? [Xg: $i > $i > $o] :
% 0.31/0.47 ! [Y: $i > $o] :
% 0.31/0.47 ? [X: $i] :
% 0.31/0.47 ( ( Xg @ X )
% 0.31/0.47 = Y ) ) ).
% 0.31/0.47
% 0.31/0.47 %------------------------------------------------------------------------------
% 0.31/0.47 ------------------------
% 1.49/1.24 ---- Embedded in THF ---
% 1.49/1.24 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.49/1.24 %%% Generated on Tue Feb 24 12:35:41 EST 2026
% 1.49/1.24 %%% using '$$dhol' embedding, version 1.3.0.
% 1.49/1.24 %%% Logic specification used:
% 1.49/1.24 %%% thf(spec, logic, $$dhol).
% 1.49/1.24
% 1.49/1.24 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.aTPrjkZDKe/DTF2DTF10705.p
% See solution above
% 1.49/1.24 ------------------------
% 1.49/1.25 ---- Cleaned THF ---
% 1.49/1.25 thf(h,type,
% 1.49/1.25 h: ( $i > $o ) > $i ).
% 1.49/1.25
% 1.49/1.25 thf(cTHM573_pme,conjecture,
% 1.49/1.25 ( ! [Xx: $i > $o,Xy: $i > $o] :
% 1.49/1.25 ( ( ( h @ Xx )
% 1.49/1.25 = ( h @ Xy ) )
% 1.49/1.25 => ( Xx = Xy ) )
% 1.49/1.25 => ? [Xg: $i > $i > $o] :
% 1.49/1.25 ! [Y: $i > $o] :
% 1.49/1.25 ? [X: $i] :
% 1.49/1.25 ( ( Xg @ X )
% 1.49/1.25 = Y ) ) ).
% 1.49/1.25 ------------------------
% 1.49/1.26 % (11035)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_10705 for (2999ds/4Mi)
% 1.49/1.26 % (11034)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_10705 for (2999ds/183Mi)
% 1.49/1.26 % (11035)Instruction limit reached!
% 1.49/1.26 % (11035)------------------------------
% 1.49/1.26 % (11035)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.26 % (11035)Termination reason: Unknown
% 1.49/1.26 % (11035)Termination phase: Saturation
% 1.49/1.26
% 1.49/1.26 % (11035)Memory used [KB]: 5500
% 1.49/1.26 % (11035)Time elapsed: 0.003 s
% 1.49/1.26 % (11035)Instructions burned: 5 (million)
% 1.49/1.26 % (11035)------------------------------
% 1.49/1.26 % (11035)------------------------------
% 1.49/1.27 % (11036)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_10705 for (2999ds/27Mi)
% 1.49/1.27 % (11037)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_10705 for (2999ds/2Mi)
% 1.49/1.27 % (11038)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_10705 for (2999ds/2Mi)
% 1.49/1.27 % (11039)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_10705 for (2999ds/275Mi)
% 1.49/1.27 % (11040)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_10705 for (2999ds/18Mi)
% 1.49/1.27 % (11038)Instruction limit reached!
% 1.49/1.27 % (11038)------------------------------
% 1.49/1.27 % (11038)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.27 % (11038)Termination reason: Unknown
% 1.49/1.27 % (11038)Termination phase: Saturation
% 1.49/1.27
% 1.49/1.27 % (11038)Memory used [KB]: 895
% 1.49/1.27 % (11038)Time elapsed: 0.003 s
% 1.49/1.27 % (11038)Instructions burned: 2 (million)
% 1.49/1.27 % (11038)------------------------------
% 1.49/1.27 % (11038)------------------------------
% 1.49/1.27 % (11036)Refutation not found, incomplete strategy
% 1.49/1.27 % (11036)------------------------------
% 1.49/1.27 % (11036)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.27 % (11036)Termination reason: Refutation not found, incomplete strategy
% 1.49/1.27
% 1.49/1.27
% 1.49/1.27 % (11036)Memory used [KB]: 5500
% 1.49/1.27 % (11036)Time elapsed: 0.003 s
% 1.49/1.27 % (11036)Instructions burned: 1 (million)
% 1.49/1.27 % (11036)------------------------------
% 1.49/1.27 % (11036)------------------------------
% 1.49/1.27 % (11039)Refutation not found, incomplete strategy
% 1.49/1.27 % (11039)------------------------------
% 1.49/1.27 % (11039)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.27 % (11039)Termination reason: Refutation not found, incomplete strategy
% 1.49/1.27
% 1.49/1.27
% 1.49/1.27 % (11039)Memory used [KB]: 5373
% 1.49/1.27 % (11039)Time elapsed: 0.003 s
% 1.49/1.27 % (11039)Instructions burned: 1 (million)
% 1.49/1.27 % (11039)------------------------------
% 1.49/1.27 % (11039)------------------------------
% 1.49/1.27 % (11037)Instruction limit reached!
% 1.49/1.27 % (11037)------------------------------
% 1.49/1.27 % (11037)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.27 % (11037)Termination reason: Unknown
% 1.49/1.27 % (11037)Termination phase: Saturation
% 1.49/1.27
% 1.49/1.27 % (11037)Memory used [KB]: 5500
% 1.49/1.27 % (11037)Time elapsed: 0.004 s
% 1.49/1.27 % (11037)Instructions burned: 2 (million)
% 1.49/1.27 % (11037)------------------------------
% 1.49/1.27 % (11037)------------------------------
% 1.49/1.27 % (11041)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_10705 for (2999ds/3Mi)
% 1.49/1.28 % (11041)Instruction limit reached!
% 1.49/1.28 % (11041)------------------------------
% 1.49/1.28 % (11041)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.28 % (11041)Termination reason: Unknown
% 1.49/1.28 % (11041)Termination phase: Saturation
% 1.49/1.28
% 1.49/1.28 % (11041)Memory used [KB]: 5500
% 1.49/1.28 % (11041)Time elapsed: 0.003 s
% 1.49/1.28 % (11041)Instructions burned: 6 (million)
% 1.49/1.28 % (11041)------------------------------
% 1.49/1.28 % (11041)------------------------------
% 1.49/1.28 % (11040)Instruction limit reached!
% 1.49/1.28 % (11040)------------------------------
% 1.49/1.28 % (11040)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.28 % (11040)Termination reason: Unknown
% 1.49/1.28 % (11040)Termination phase: Saturation
% 1.49/1.28
% 1.49/1.28 % (11040)Memory used [KB]: 5756
% 1.49/1.28 % (11040)Time elapsed: 0.013 s
% 1.49/1.28 % (11040)Instructions burned: 20 (million)
% 1.49/1.28 % (11040)------------------------------
% 1.49/1.28 % (11040)------------------------------
% 1.49/1.29 % (11046)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_10705 for (2999ds/7Mi)
% 1.49/1.29 % (11046)Instruction limit reached!
% 1.49/1.29 % (11046)------------------------------
% 1.49/1.29 % (11046)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.29 % (11046)Termination reason: Unknown
% 1.49/1.29 % (11046)Termination phase: Saturation
% 1.49/1.29
% 1.49/1.29 % (11046)Memory used [KB]: 1151
% 1.49/1.29 % (11046)Time elapsed: 0.004 s
% 1.49/1.29 % (11046)Instructions burned: 9 (million)
% 1.49/1.29 % (11046)------------------------------
% 1.49/1.29 % (11046)------------------------------
% 1.49/1.29 % (11042)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_10705 for (2999ds/37Mi)
% 1.49/1.29 % (11043)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_10705 for (2999ds/15Mi)
% 1.49/1.29 % (11044)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_10705 for (2999ds/3Mi)
% 1.49/1.29 % (11045)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_10705 for (2999ds/1041Mi)
% 1.49/1.29 % (11043)Refutation not found, incomplete strategy
% 1.49/1.29 % (11043)------------------------------
% 1.49/1.29 % (11043)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.29 % (11043)Termination reason: Refutation not found, incomplete strategy
% 1.49/1.29
% 1.49/1.29
% 1.49/1.29 % (11043)Memory used [KB]: 5500
% 1.49/1.29 % (11043)Time elapsed: 0.003 s
% 1.49/1.29 % (11043)Instructions burned: 1 (million)
% 1.49/1.29 % (11043)------------------------------
% 1.49/1.29 % (11043)------------------------------
% 1.49/1.29 % (11044)Instruction limit reached!
% 1.49/1.29 % (11044)------------------------------
% 1.49/1.29 % (11044)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.29 % (11044)Termination reason: Unknown
% 1.49/1.29 % (11044)Termination phase: Saturation
% 1.49/1.29
% 1.49/1.29 % (11044)Memory used [KB]: 5500
% 1.49/1.29 % (11044)Time elapsed: 0.004 s
% 1.49/1.29 % (11044)Instructions burned: 3 (million)
% 1.49/1.29 % (11044)------------------------------
% 1.49/1.29 % (11044)------------------------------
% 1.59/1.30 % (11048)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_10705 for (2999ds/3Mi)
% 1.59/1.30 % (11045)Refutation not found, incomplete strategy
% 1.59/1.30 % (11045)------------------------------
% 1.59/1.30 % (11045)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.30 % (11045)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.30
% 1.59/1.30
% 1.59/1.30 % (11045)Memory used [KB]: 5500
% 1.59/1.30 % (11045)Time elapsed: 0.009 s
% 1.59/1.30 % (11045)Instructions burned: 10 (million)
% 1.59/1.30 % (11045)------------------------------
% 1.59/1.30 % (11045)------------------------------
% 1.59/1.30 % (11047)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_10705 for (2999ds/16Mi)
% 1.59/1.30 % (11048)Instruction limit reached!
% 1.59/1.30 % (11048)------------------------------
% 1.59/1.30 % (11048)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.30 % (11048)Termination reason: Unknown
% 1.59/1.30 % (11048)Termination phase: Saturation
% 1.59/1.30
% 1.59/1.30 % (11048)Memory used [KB]: 5500
% 1.59/1.30 % (11048)Time elapsed: 0.003 s
% 1.59/1.30 % (11048)Instructions burned: 5 (million)
% 1.59/1.30 % (11048)------------------------------
% 1.59/1.30 % (11048)------------------------------
% 1.59/1.31 % (11042)Instruction limit reached!
% 1.59/1.31 % (11042)------------------------------
% 1.59/1.31 % (11042)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.31 % (11042)Termination reason: Unknown
% 1.59/1.31 % (11042)Termination phase: Saturation
% 1.59/1.31
% 1.59/1.31 % (11042)Memory used [KB]: 6524
% 1.59/1.31 % (11042)Time elapsed: 0.021 s
% 1.59/1.31 % (11042)Instructions burned: 38 (million)
% 1.59/1.31 % (11042)------------------------------
% 1.59/1.31 % (11042)------------------------------
% 1.59/1.31 % (11047)Instruction limit reached!
% 1.59/1.31 % (11047)------------------------------
% 1.59/1.31 % (11047)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.31 % (11047)Termination reason: Unknown
% 1.59/1.31 % (11047)Termination phase: Saturation
% 1.59/1.31
% 1.59/1.31 % (11047)Memory used [KB]: 5500
% 1.59/1.31 % (11047)Time elapsed: 0.011 s
% 1.59/1.31 % (11047)Instructions burned: 17 (million)
% 1.59/1.31 % (11047)------------------------------
% 1.59/1.31 % (11047)------------------------------
% 1.59/1.31 % (11052)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_10705 for (2999ds/4Mi)
% 1.59/1.31 % (11049)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_10705 for (2999ds/3Mi)
% 1.59/1.31 % (11050)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_10705 for (2999ds/7Mi)
% 1.59/1.31 % (11052)Instruction limit reached!
% 1.59/1.31 % (11052)------------------------------
% 1.59/1.31 % (11052)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.31 % (11052)Termination reason: Unknown
% 1.59/1.31 % (11052)Termination phase: Saturation
% 1.59/1.31
% 1.59/1.31 % (11052)Memory used [KB]: 5500
% 1.59/1.31 % (11052)Time elapsed: 0.003 s
% 1.59/1.31 % (11052)Instructions burned: 5 (million)
% 1.59/1.31 % (11052)------------------------------
% 1.59/1.31 % (11052)------------------------------
% 1.59/1.31 % (11049)Instruction limit reached!
% 1.59/1.31 % (11049)------------------------------
% 1.59/1.31 % (11049)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.31 % (11049)Termination reason: Unknown
% 1.59/1.31 % (11049)Termination phase: Saturation
% 1.59/1.31
% 1.59/1.31 % (11049)Memory used [KB]: 5500
% 1.59/1.31 % (11049)Time elapsed: 0.004 s
% 1.59/1.31 % (11049)Instructions burned: 3 (million)
% 1.59/1.31 % (11049)------------------------------
% 1.59/1.31 % (11049)------------------------------
% 1.59/1.31 % (11050)Refutation not found, incomplete strategy
% 1.59/1.31 % (11050)------------------------------
% 1.59/1.31 % (11050)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.31 % (11050)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.31
% 1.59/1.31
% 1.59/1.31 % (11050)Memory used [KB]: 5500
% 1.59/1.31 % (11050)Time elapsed: 0.003 s
% 1.59/1.31 % (11050)Instructions burned: 1 (million)
% 1.59/1.31 % (11050)------------------------------
% 1.59/1.31 % (11050)------------------------------
% 1.59/1.31 % (11034)Instruction limit reached!
% 1.59/1.31 % (11034)------------------------------
% 1.59/1.31 % (11034)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.31 % (11034)Termination reason: Unknown
% 1.59/1.31 % (11034)Termination phase: Saturation
% 1.59/1.31
% 1.59/1.31 % (11034)Memory used [KB]: 9722
% 1.59/1.31 % (11034)Time elapsed: 0.051 s
% 1.59/1.31 % (11034)Instructions burned: 183 (million)
% 1.59/1.31 % (11034)------------------------------
% 1.59/1.31 % (11034)------------------------------
% 1.59/1.32 % (11051)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_10705 for (2999ds/3Mi)
% 1.59/1.32 % (11051)Instruction limit reached!
% 1.59/1.32 % (11051)------------------------------
% 1.59/1.32 % (11051)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.32 % (11051)Termination reason: Unknown
% 1.59/1.32 % (11051)Termination phase: Saturation
% 1.59/1.32
% 1.59/1.32 % (11051)Memory used [KB]: 5500
% 1.59/1.32 % (11051)Time elapsed: 0.004 s
% 1.59/1.32 % (11051)Instructions burned: 3 (million)
% 1.59/1.32 % (11051)------------------------------
% 1.59/1.32 % (11051)------------------------------
% 1.59/1.32 % (11054)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_10705 for (2999ds/710Mi)
% 1.59/1.32 % (11055)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_10705 for (2999ds/6Mi)
% 1.59/1.32 % (11055)Refutation not found, incomplete strategy
% 1.59/1.32 % (11055)------------------------------
% 1.59/1.32 % (11055)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.32 % (11055)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.32
% 1.59/1.32
% 1.59/1.32 % (11055)Memory used [KB]: 5500
% 1.59/1.32 % (11055)Time elapsed: 0.001 s
% 1.59/1.32 % (11055)------------------------------
% 1.59/1.32 % (11055)------------------------------
% 1.59/1.32 % (11058)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_10705 for (2999ds/5Mi)
% 1.59/1.33 % (11057)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_10705 for (2999ds/21Mi)
% 1.59/1.33 % (11053)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_10705 for (2999ds/18Mi)
% 1.59/1.33 % (11058)Instruction limit reached!
% 1.59/1.33 % (11058)------------------------------
% 1.59/1.33 % (11058)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.33 % (11058)Termination reason: Unknown
% 1.59/1.33 % (11058)Termination phase: Saturation
% 1.59/1.33
% 1.59/1.33 % (11058)Memory used [KB]: 5500
% 1.59/1.33 % (11058)Time elapsed: 0.004 s
% 1.59/1.33 % (11058)Instructions burned: 6 (million)
% 1.59/1.33 % (11058)------------------------------
% 1.59/1.33 % (11058)------------------------------
% 1.59/1.33 % (11053)Refutation not found, incomplete strategy
% 1.59/1.33 % (11053)------------------------------
% 1.59/1.33 % (11053)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.33 % (11053)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.33
% 1.59/1.33
% 1.59/1.33 % (11053)Memory used [KB]: 5500
% 1.59/1.33 % (11053)Time elapsed: 0.003 s
% 1.59/1.33 % (11053)Instructions burned: 1 (million)
% 1.59/1.33 % (11053)------------------------------
% 1.59/1.33 % (11053)------------------------------
% 1.59/1.33 % (11056)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_10705 for (2999ds/902Mi)
% 1.59/1.33 % (11056)Refutation not found, incomplete strategy
% 1.59/1.33 % (11056)------------------------------
% 1.59/1.33 % (11056)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.33 % (11056)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.33
% 1.59/1.33
% 1.59/1.33 % (11056)Memory used [KB]: 5373
% 1.59/1.33 % (11056)Time elapsed: 0.002 s
% 1.59/1.33 % (11056)Instructions burned: 1 (million)
% 1.59/1.33 % (11056)------------------------------
% 1.59/1.33 % (11056)------------------------------
% 1.59/1.33 % (11060)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_10705 for (2999ds/377Mi)
% 1.59/1.33 % (11060)Refutation not found, incomplete strategy
% 1.59/1.33 % (11060)------------------------------
% 1.59/1.33 % (11060)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.33 % (11060)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.33
% 1.59/1.33
% 1.59/1.33 % (11060)Memory used [KB]: 5500
% 1.59/1.33 % (11060)Time elapsed: 0.001 s
% 1.59/1.33 % (11060)Instructions burned: 1 (million)
% 1.59/1.33 % (11060)------------------------------
% 1.59/1.33 % (11060)------------------------------
% 1.59/1.33 % (11057)Instruction limit reached!
% 1.59/1.33 % (11057)------------------------------
% 1.59/1.33 % (11057)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.33 % (11057)Termination reason: Unknown
% 1.59/1.33 % (11057)Termination phase: Saturation
% 1.59/1.33
% 1.59/1.33 % (11057)Memory used [KB]: 5628
% 1.59/1.33 % (11057)Time elapsed: 0.010 s
% 1.59/1.33 % (11057)Instructions burned: 23 (million)
% 1.59/1.33 % (11057)------------------------------
% 1.59/1.33 % (11057)------------------------------
% 1.59/1.34 % (11059)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_10705 for (2999ds/6Mi)
% 1.59/1.34 % (11061)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_10705 for (2999ds/779Mi)
% 1.59/1.34 % (11059)Instruction limit reached!
% 1.59/1.34 % (11059)------------------------------
% 1.59/1.34 % (11059)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.34 % (11059)Termination reason: Unknown
% 1.59/1.34 % (11059)Termination phase: Saturation
% 1.59/1.34
% 1.59/1.34 % (11059)Memory used [KB]: 5500
% 1.59/1.34 % (11059)Time elapsed: 0.006 s
% 1.59/1.34 % (11059)Instructions burned: 7 (million)
% 1.59/1.34 % (11059)------------------------------
% 1.59/1.34 % (11059)------------------------------
% 1.59/1.34 % (11064)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_10705 for (2999ds/17Mi)
% 1.59/1.35 % (11065)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_10705 for (2999ds/3Mi)
% 1.59/1.35 % (11062)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_10705 for (2999ds/19Mi)
% 1.59/1.35 % (11064)Instruction limit reached!
% 1.59/1.35 % (11064)------------------------------
% 1.59/1.35 % (11064)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.35 % (11064)Termination reason: Unknown
% 1.59/1.35 % (11064)Termination phase: Saturation
% 1.59/1.35
% 1.59/1.35 % (11064)Memory used [KB]: 5628
% 1.59/1.35 % (11064)Time elapsed: 0.006 s
% 1.59/1.35 % (11064)Instructions burned: 17 (million)
% 1.59/1.35 % (11064)------------------------------
% 1.59/1.35 % (11064)------------------------------
% 1.59/1.35 % (11065)Refutation not found, incomplete strategy
% 1.59/1.35 % (11065)------------------------------
% 1.59/1.35 % (11065)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.35 % (11065)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.35
% 1.59/1.35
% 1.59/1.35 % (11065)Memory used [KB]: 5500
% 1.59/1.35 % (11065)Time elapsed: 0.003 s
% 1.59/1.35 % (11065)Instructions burned: 1 (million)
% 1.59/1.35 % (11065)------------------------------
% 1.59/1.35 % (11065)------------------------------
% 1.59/1.35 % (11063)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_10705 for (2999ds/879Mi)
% 1.59/1.35 % (11063)Refutation not found, incomplete strategy
% 1.59/1.35 % (11063)------------------------------
% 1.59/1.35 % (11063)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.35 % (11063)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.35
% 1.59/1.35
% 1.59/1.35 % (11063)Memory used [KB]: 5500
% 1.59/1.35 % (11063)Time elapsed: 0.003 s
% 1.59/1.35 % (11063)Instructions burned: 1 (million)
% 1.59/1.35 % (11063)------------------------------
% 1.59/1.35 % (11063)------------------------------
% 1.59/1.36 % (11062)Instruction limit reached!
% 1.59/1.36 % (11062)------------------------------
% 1.59/1.36 % (11062)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.36 % (11062)Termination reason: Unknown
% 1.59/1.36 % (11062)Termination phase: Saturation
% 1.59/1.36
% 1.59/1.36 % (11062)Memory used [KB]: 5756
% 1.59/1.36 % (11062)Time elapsed: 0.012 s
% 1.59/1.36 % (11062)Instructions burned: 19 (million)
% 1.59/1.36 % (11062)------------------------------
% 1.59/1.36 % (11062)------------------------------
% 1.59/1.36 % (11067)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_10705 for (2999ds/127Mi)
% 1.59/1.36 % (11068)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_10705 for (2999ds/100Mi)
% 1.59/1.36 % (11066)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_10705 for (2999ds/30Mi)
% 1.59/1.36 % (11068)Refutation not found, incomplete strategy
% 1.59/1.36 % (11068)------------------------------
% 1.59/1.36 % (11068)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.36 % (11068)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.36
% 1.59/1.36
% 1.59/1.36 % (11068)Memory used [KB]: 5500
% 1.59/1.36 % (11068)Time elapsed: 0.023 s
% 1.59/1.36 % (11068)Instructions burned: 1 (million)
% 1.59/1.36 % (11068)------------------------------
% 1.59/1.36 % (11068)------------------------------
% 1.59/1.37 % (11069)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_10705 for (2999ds/3Mi)
% 1.59/1.37 % (11071)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_10705 for (2998ds/86Mi)
% 1.59/1.37 % (11069)Instruction limit reached!
% 1.59/1.37 % (11069)------------------------------
% 1.59/1.37 % (11069)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.37 % (11069)Termination reason: Unknown
% 1.59/1.37 % (11069)Termination phase: Saturation
% 1.59/1.37
% 1.59/1.37 % (11069)Memory used [KB]: 5500
% 1.59/1.37 % (11069)Time elapsed: 0.004 s
% 1.59/1.37 % (11069)Instructions burned: 3 (million)
% 1.59/1.37 % (11069)------------------------------
% 1.59/1.37 % (11069)------------------------------
% 1.59/1.37 % (11071)Refutation not found, incomplete strategy
% 1.59/1.37 % (11071)------------------------------
% 1.59/1.37 % (11071)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.37 % (11071)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.37
% 1.59/1.37
% 1.59/1.37 % (11071)Memory used [KB]: 5628
% 1.59/1.37 % (11071)Time elapsed: 0.004 s
% 1.59/1.37 % (11071)Instructions burned: 7 (million)
% 1.59/1.37 % (11071)------------------------------
% 1.59/1.37 % (11071)------------------------------
% 1.59/1.37 % (11066)Instruction limit reached!
% 1.59/1.37 % (11066)------------------------------
% 1.59/1.37 % (11066)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.37 % (11066)Termination reason: Unknown
% 1.59/1.37 % (11066)Termination phase: Saturation
% 1.59/1.37
% 1.59/1.37 % (11066)Memory used [KB]: 5628
% 1.59/1.37 % (11066)Time elapsed: 0.015 s
% 1.59/1.37 % (11066)Instructions burned: 31 (million)
% 1.59/1.37 % (11066)------------------------------
% 1.59/1.37 % (11066)------------------------------
% 1.59/1.37 % (11070)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_10705 for (2999ds/20Mi)
% 1.59/1.37 % (11070)Refutation not found, incomplete strategy
% 1.59/1.37 % (11070)------------------------------
% 1.59/1.37 % (11070)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.37 % (11070)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.37
% 1.59/1.37
% 1.59/1.37 % (11070)Memory used [KB]: 5500
% 1.59/1.37 % (11070)Time elapsed: 0.002 s
% 1.59/1.37 % (11070)Instructions burned: 1 (million)
% 1.59/1.37 % (11070)------------------------------
% 1.59/1.37 % (11070)------------------------------
% 1.59/1.38 % (11073)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_10705 for (2998ds/39Mi)
% 1.59/1.38 % (11074)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_10705 for (2998ds/448Mi)
% 1.59/1.38 % (11075)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_10705 for (2998ds/46Mi)
% 1.59/1.39 % (11072)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_10705 for (2998ds/107Mi)
% 1.59/1.39 % (11072)Refutation not found, incomplete strategy
% 1.59/1.39 % (11072)------------------------------
% 1.59/1.39 % (11072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.39 % (11072)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.39
% 1.59/1.39
% 1.59/1.39 % (11072)Memory used [KB]: 5500
% 1.59/1.39 % (11072)Time elapsed: 0.003 s
% 1.59/1.39 % (11072)Instructions burned: 1 (million)
% 1.59/1.39 % (11072)------------------------------
% 1.59/1.39 % (11072)------------------------------
% 1.59/1.39 % (11067)Instruction limit reached!
% 1.59/1.39 % (11067)------------------------------
% 1.59/1.39 % (11067)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.39 % (11067)Termination reason: Unknown
% 1.59/1.39 % (11067)Termination phase: Saturation
% 1.59/1.39
% 1.59/1.39 % (11067)Memory used [KB]: 7803
% 1.59/1.39 % (11067)Time elapsed: 0.055 s
% 1.59/1.39 % (11067)Instructions burned: 128 (million)
% 1.59/1.39 % (11067)------------------------------
% 1.59/1.39 % (11067)------------------------------
% 1.59/1.39 % (11073)Instruction limit reached!
% 1.59/1.39 % (11073)------------------------------
% 1.59/1.39 % (11073)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.39 % (11073)Termination reason: Unknown
% 1.59/1.39 % (11073)Termination phase: Saturation
% 1.59/1.39
% 1.59/1.39 % (11073)Memory used [KB]: 6268
% 1.59/1.39 % (11073)Time elapsed: 0.013 s
% 1.59/1.39 % (11073)Instructions burned: 39 (million)
% 1.59/1.39 % (11073)------------------------------
% 1.59/1.39 % (11073)------------------------------
% 1.59/1.40 % (11075)Refutation not found, incomplete strategy
% 1.59/1.40 % (11075)------------------------------
% 1.59/1.40 % (11075)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.40 % (11075)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.40
% 1.59/1.40
% 1.59/1.40 % (11075)Memory used [KB]: 5628
% 1.59/1.40 % (11075)Time elapsed: 0.014 s
% 1.59/1.40 % (11075)Instructions burned: 33 (million)
% 1.59/1.40 % (11075)------------------------------
% 1.59/1.40 % (11075)------------------------------
% 1.59/1.40 % (11077)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_10705 for (2998ds/507Mi)
% 1.59/1.40 % (11077)Refutation not found, incomplete strategy
% 1.59/1.40 % (11077)------------------------------
% 1.59/1.40 % (11077)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.40 % (11077)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.40
% 1.59/1.40
% 1.59/1.40 % (11077)Memory used [KB]: 5500
% 1.59/1.40 % (11077)Time elapsed: 0.002 s
% 1.59/1.40 % (11077)Instructions burned: 3 (million)
% 1.59/1.40 % (11077)------------------------------
% 1.59/1.40 % (11077)------------------------------
% 1.59/1.40 % (11078)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_10705 for (2998ds/149Mi)
% 1.59/1.40 % (11078)Refutation not found, incomplete strategy
% 1.59/1.40 % (11078)------------------------------
% 1.59/1.40 % (11078)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.40 % (11078)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.40
% 1.59/1.40
% 1.59/1.40 % (11078)Memory used [KB]: 5500
% 1.59/1.40 % (11078)Time elapsed: 0.001 s
% 1.59/1.40 % (11078)Instructions burned: 1 (million)
% 1.59/1.40 % (11078)------------------------------
% 1.59/1.40 % (11078)------------------------------
% 1.59/1.41 % (11076)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_10705 for (2998ds/98Mi)
% 1.59/1.41 % (11079)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_10705 for (2998ds/39Mi)
% 1.59/1.41 % (11079)Refutation not found, incomplete strategy
% 1.59/1.41 % (11079)------------------------------
% 1.59/1.41 % (11079)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.41 % (11079)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.41
% 1.59/1.41
% 1.59/1.41 % (11079)Memory used [KB]: 5500
% 1.59/1.41 % (11079)Time elapsed: 0.002 s
% 1.59/1.41 % (11079)Instructions burned: 1 (million)
% 1.59/1.41 % (11079)------------------------------
% 1.59/1.41 % (11079)------------------------------
% 1.59/1.41 % (11076)Refutation not found, incomplete strategy
% 1.59/1.41 % (11076)------------------------------
% 1.59/1.41 % (11076)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.41 % (11076)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.41
% 1.59/1.41 % (11080)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_10705 for (2998ds/6Mi)
% 1.59/1.41
% 1.59/1.41 % (11076)Memory used [KB]: 1023
% 1.59/1.41 % (11076)Time elapsed: 0.005 s
% 1.59/1.41 % (11076)Instructions burned: 5 (million)
% 1.59/1.41 % (11076)------------------------------
% 1.59/1.41 % (11076)------------------------------
% 1.59/1.41 % (11080)Instruction limit reached!
% 1.59/1.41 % (11080)------------------------------
% 1.59/1.41 % (11080)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.41 % (11080)Termination reason: Unknown
% 1.59/1.41 % (11080)Termination phase: Saturation
% 1.59/1.41
% 1.59/1.41 % (11080)Memory used [KB]: 9978
% 1.59/1.41 % (11080)Time elapsed: 0.004 s
% 1.59/1.41 % (11080)Instructions burned: 7 (million)
% 1.59/1.41 % (11080)------------------------------
% 1.59/1.41 % (11080)------------------------------
% 1.59/1.41 % (11081)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_10705 for (2998ds/1087Mi)
% 1.59/1.41 % (11081)Refutation not found, incomplete strategy
% 1.59/1.41 % (11081)------------------------------
% 1.59/1.41 % (11081)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.41 % (11081)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.41
% 1.59/1.41
% 1.59/1.41 % (11081)Memory used [KB]: 5500
% 1.59/1.41 % (11081)Time elapsed: 0.002 s
% 1.59/1.41 % (11081)Instructions burned: 1 (million)
% 1.59/1.41 % (11081)------------------------------
% 1.59/1.41 % (11081)------------------------------
% 1.59/1.42 % (11082)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_10705 for (2998ds/47Mi)
% 1.59/1.42 % (11084)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_10705 for (2998ds/432Mi)
% 1.59/1.42 % (11085)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_10705 for (2998ds/62Mi)
% 1.59/1.43 % (11083)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_10705 for (2998ds/44Mi)
% 1.59/1.43 % (11082)Instruction limit reached!
% 1.59/1.43 % (11082)------------------------------
% 1.59/1.43 % (11082)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.43 % (11082)Termination reason: Unknown
% 1.59/1.43 % (11082)Termination phase: Saturation
% 1.59/1.43
% 1.59/1.43 % (11082)Memory used [KB]: 6012
% 1.59/1.43 % (11082)Time elapsed: 0.016 s
% 1.59/1.43 % (11082)Instructions burned: 47 (million)
% 1.59/1.43 % (11082)------------------------------
% 1.59/1.43 % (11082)------------------------------
% 1.59/1.44 % (11084)Refutation not found, incomplete strategy
% 1.59/1.44 % (11084)------------------------------
% 1.59/1.44 % (11084)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.44 % (11084)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.44
% 1.59/1.44
% 1.59/1.44 % (11084)Memory used [KB]: 2046
% 1.59/1.44 % (11084)Time elapsed: 0.016 s
% 1.59/1.44 % (11084)Instructions burned: 54 (million)
% 1.59/1.44 % (11084)------------------------------
% 1.59/1.44 % (11084)------------------------------
% 1.59/1.44 % (11086)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_10705 for (2998ds/31Mi)
% 1.59/1.44 % (11085)Instruction limit reached!
% 1.59/1.44 % (11085)------------------------------
% 1.59/1.44 % (11085)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.44 % (11085)Termination reason: Unknown
% 1.59/1.44 % (11085)Termination phase: Saturation
% 1.59/1.44
% 1.59/1.44 % (11085)Memory used [KB]: 6140
% 1.59/1.44 % (11085)Time elapsed: 0.022 s
% 1.59/1.44 % (11085)Instructions burned: 64 (million)
% 1.59/1.44 % (11085)------------------------------
% 1.59/1.44 % (11085)------------------------------
% 1.59/1.45 % (11083)Instruction limit reached!
% 1.59/1.45 % (11083)------------------------------
% 1.59/1.45 % (11083)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.45 % (11083)Termination reason: Unknown
% 1.59/1.45 % (11083)Termination phase: Saturation
% 1.59/1.45
% 1.59/1.45 % (11083)Memory used [KB]: 1663
% 1.59/1.45 % (11083)Time elapsed: 0.021 s
% 1.59/1.45 % (11083)Instructions burned: 47 (million)
% 1.59/1.45 % (11083)------------------------------
% 1.59/1.45 % (11083)------------------------------
% 1.59/1.45 % (11087)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_10705 for (2998ds/96Mi)
% 1.59/1.45 % (11086)Instruction limit reached!
% 1.59/1.45 % (11086)------------------------------
% 1.59/1.45 % (11086)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.45 % (11086)Termination reason: Unknown
% 1.59/1.45 % (11086)Termination phase: Saturation
% 1.59/1.45
% 1.59/1.45 % (11086)Memory used [KB]: 6012
% 1.59/1.45 % (11086)Time elapsed: 0.012 s
% 1.59/1.45 % (11086)Instructions burned: 33 (million)
% 1.59/1.45 % (11086)------------------------------
% 1.59/1.45 % (11086)------------------------------
% 1.59/1.45 % (11088)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_10705 for (2998ds/453Mi)
% 1.59/1.46 % (11089)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_10705 for (2998ds/71Mi)
% 1.59/1.46 % (11088)First to succeed.
% 1.59/1.46 % (11088)Refutation found. Thanks to Tanya!
% 1.59/1.46 % SZS status Theorem for DTF2THF_10705
% 1.59/1.46 % SZS output start Proof for DTF2THF_10705
% 1.59/1.46 thf(func_def_0, type, h: ($i > $o) > $i).
% 1.59/1.46 thf(func_def_14, type, ph1: !>[X0: $tType]:(X0)).
% 1.59/1.46 thf(func_def_15, type, sK2: ($i > $i > $o) > $i > $o).
% 1.59/1.46 thf(func_def_16, type, inv_h_3: $i > $i > $o).
% 1.59/1.46 thf(f29,plain,(
% 1.59/1.46 $false),
% 1.59/1.46 inference(equality_resolution,[status(thm)],[f26])).
% 1.59/1.46 thf(f26,plain,(
% 1.59/1.46 ( ! [X0 : $i > $o] : (((sK2 @ inv_h_3) != X0)) )),
% 1.59/1.46 inference(superposition,[status(thm)],[f15,f23])).
% 1.59/1.46 thf(f23,plain,(
% 1.59/1.46 ( ! [X1 : $i > $o] : (((inv_h_3 @ (h @ X1)) = X1)) )),
% 1.59/1.46 inference(injectivity,[status(thm)],[f22])).
% 1.59/1.46 thf(f22,plain,(
% 1.59/1.46 ( ! [X2 : $i > $o,X1 : $i > $o] : (((h @ X1) != (h @ X2)) | (X1 = X2)) )),
% 1.59/1.46 inference(equality_proxy_clausification,[status(thm)],[f21])).
% 1.59/1.46 thf(f21,plain,(
% 1.59/1.46 ( ! [X2 : $i > $o,X1 : $i > $o] : (((h @ X1) != (h @ X2)) | ((X2 = X1) = $true)) )),
% 1.59/1.46 inference(equality_proxy_clausification,[status(thm)],[f20])).
% 1.59/1.46 thf(f20,plain,(
% 1.59/1.46 ( ! [X2 : $i > $o,X1 : $i > $o] : ((((h @ X2) = (h @ X1)) = $false) | ((X2 = X1) = $true)) )),
% 1.59/1.46 inference(binary_proxy_clausification,[status(thm)],[f19])).
% 1.59/1.46 thf(f19,plain,(
% 1.59/1.46 ( ! [X2 : $i > $o,X1 : $i > $o] : (($true = (((h @ X2) = (h @ X1)) => (X2 = X1)))) )),
% 1.59/1.46 inference(beta_eta_normalization,[status(thm)],[f18])).
% 1.59/1.46 thf(f18,plain,(
% 1.59/1.46 ( ! [X2 : $i > $o,X1 : $i > $o] : ((((^[Y0 : $i > $o]: (((h @ Y0) = (h @ X1)) => (Y0 = X1))) @ X2) = $true)) )),
% 1.59/1.46 inference(pi_clausification,[status(thm)],[f17])).
% 1.59/1.46 thf(f17,plain,(
% 1.59/1.46 ( ! [X1 : $i > $o] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((h @ Y0) = (h @ X1)) => (Y0 = X1)))))) )),
% 1.59/1.46 inference(beta_eta_normalization,[status(thm)],[f16])).
% 1.59/1.46 thf(f16,plain,(
% 1.59/1.46 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((h @ Y1) = (h @ Y0)) => (Y1 = Y0))))) @ X1) = $true)) )),
% 1.59/1.46 inference(pi_clausification,[status(thm)],[f8])).
% 1.59/1.46 thf(f8,plain,(
% 1.59/1.46 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((h @ Y1) = (h @ Y0)) => (Y1 = Y0)))))))),
% 1.59/1.46 inference(binary_proxy_clausification,[status(thm)],[f6])).
% 1.59/1.46 thf(f6,plain,(
% 1.59/1.46 (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((h @ Y1) = (h @ Y0)) => (Y1 = Y0)))))) => (?? @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) = Y1)))))))) = $false)),
% 1.59/1.46 inference(not_proxy_clausification,[status(thm)],[f5])).
% 1.59/1.46 thf(f5,plain,(
% 1.59/1.46 ($true = (~ ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((h @ Y1) = (h @ Y0)) => (Y1 = Y0)))))) => (?? @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) = Y1))))))))))),
% 1.59/1.46 inference(cnf_transformation,[status(thm)],[f4])).
% 1.59/1.46 thf(f4,plain,(
% 1.59/1.46 ($true = (~ ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((h @ Y1) = (h @ Y0)) => (Y1 = Y0)))))) => (?? @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) = Y1))))))))))),
% 1.59/1.46 inference(fool_elimination,[status(thm)],[f2])).
% 1.59/1.46 thf(f2,negated_conjecture,(
% 1.59/1.46 ~(! [X0 : $i > $o,X1 : $i > $o] : (((h @ X0) = (h @ X1)) => (X0 = X1)) => ? [X2 : $i > $i > $o] : ! [X3 : $i > $o] : ? [X4 : $i] : ((X2 @ X4) = X3))),
% 1.59/1.46 inference(negated_conjecture,[status(cth)],[f1])).
% 1.59/1.46 thf(f1,conjecture,(
% 1.59/1.46 ! [X0 : $i > $o,X1 : $i > $o] : (((h @ X0) = (h @ X1)) => (X0 = X1)) => ? [X2 : $i > $i > $o] : ! [X3 : $i > $o] : ? [X4 : $i] : ((X2 @ X4) = X3)),
% 1.59/1.46 file('/export/starexec/sandbox/tmp/tmp.aTPrjkZDKe/DTF2THF_10705.p',cTHM573_pme)).
% 1.59/1.46 thf(f15,plain,(
% 1.59/1.46 ( ! [X2 : $i,X1 : $i > $i > $o] : (((sK2 @ X1) != (X1 @ X2))) )),
% 1.59/1.46 inference(equality_proxy_clausification,[status(thm)],[f14])).
% 1.59/1.46 thf(f14,plain,(
% 1.59/1.46 ( ! [X2 : $i,X1 : $i > $i > $o] : ((((X1 @ X2) = (sK2 @ X1)) = $false)) )),
% 1.59/1.46 inference(beta_eta_normalization,[status(thm)],[f13])).
% 1.59/1.46 thf(f13,plain,(
% 1.59/1.46 ( ! [X2 : $i,X1 : $i > $i > $o] : ((((^[Y0 : $i]: ((X1 @ Y0) = (sK2 @ X1))) @ X2) = $false)) )),
% 1.59/1.46 inference(pi_clausification,[status(thm)],[f12])).
% 1.59/1.46 thf(f12,plain,(
% 1.59/1.46 ( ! [X1 : $i > $i > $o] : (($false = (?? @ $i @ (^[Y0 : $i]: ((X1 @ Y0) = (sK2 @ X1)))))) )),
% 1.59/1.46 inference(beta_eta_normalization,[status(thm)],[f11])).
% 1.59/1.46 thf(f11,plain,(
% 1.59/1.46 ( ! [X1 : $i > $i > $o] : (($false = ((^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((X1 @ Y1) = Y0)))) @ (sK2 @ X1)))) )),
% 1.59/1.46 inference(sigma_clausification,[status(thm)],[f10])).
% 1.59/1.46 thf(f10,plain,(
% 1.59/1.46 ( ! [X1 : $i > $i > $o] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((X1 @ Y1) = Y0))))) = $false)) )),
% 1.59/1.46 inference(beta_eta_normalization,[status(thm)],[f9])).
% 1.59/1.46 thf(f9,plain,(
% 1.59/1.46 ( ! [X1 : $i > $i > $o] : ((((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) = Y1)))))) @ X1) = $false)) )),
% 1.59/1.46 inference(pi_clausification,[status(thm)],[f7])).
% 1.59/1.46 thf(f7,plain,(
% 1.59/1.46 ((?? @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) = Y1))))))) = $false)),
% 1.59/1.46 inference(binary_proxy_clausification,[status(thm)],[f6])).
% 1.59/1.46 % SZS output end Proof for DTF2THF_10705
% 1.59/1.46 % (11088)------------------------------
% 1.59/1.46 % (11088)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.46 % (11088)Termination reason: Refutation
% 1.59/1.46
% 1.59/1.46 % (11088)Memory used [KB]: 5500
% 1.59/1.46 % (11088)Time elapsed: 0.004 s
% 1.59/1.46 % (11088)Instructions burned: 5 (million)
% 1.59/1.46 % (11088)------------------------------
% 1.59/1.46 % (11088)------------------------------
% 1.59/1.46 % (11033)Success in time 0.198 s
%------------------------------------------------------------------------------