%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO033^1 : TPTP v9.2.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:53:11 AM UTC 2026
% Result : Theorem 1.66s 1.48s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 50 ( 17 equ; 0 cnn)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 90 ( 6 ~; 0 |; 0 &; 62 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 50 ( 50 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 2 usr; 4 con; 0-2 aty)
% ( 15 !!; 4 ??; 0 @@+; 0 @@-)
% Number of variables : 28 ( 14 ^; 11 !; 3 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_11,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
sK2: ( ( $i > $o ) > $o ) > $i > $o ).
thf(f21,plain,
$false,
inference(equality_resolution,[status(thm)],[f15]) ).
thf(f15,plain,
! [X1: ( $i > $o ) > $o] :
( ( X1 @ ( sK2 @ X1 ) )
!= ( !! @ $i @ ( sK2 @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f14]) ).
thf(f14,plain,
! [X1: ( $i > $o ) > $o] :
( $false
= ( ( !! @ $i @ ( sK2 @ X1 ) )
= ( X1 @ ( sK2 @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f13]) ).
thf(f13,plain,
! [X1: ( $i > $o ) > $o] :
( $false
= ( ^ [Y0: $i > $o] :
( ( !! @ $i @ Y0 )
= ( X1 @ Y0 ) )
@ ( sK2 @ X1 ) ) ),
inference(sigma_clausification,[status(thm)],[f12]) ).
thf(f12,plain,
! [X1: ( $i > $o ) > $o] :
( $false
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i @ Y0 )
= ( X1 @ Y0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f11]) ).
thf(f11,plain,
! [X1: ( $i > $o ) > $o] :
( ( ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i @ Y1 )
= ( Y0 @ Y1 ) ) )
@ X1 )
= $false ),
inference(pi_clausification,[status(thm)],[f8]) ).
thf(f8,plain,
( $false
= ( ?? @ ( ( $i > $o ) > $o )
@ ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i @ Y1 )
= ( Y0 @ Y1 ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( ( ~ ( ?? @ ( ( $i > $o ) > $o )
@ ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i @ Y1 )
= ( Y0 @ Y1 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f6]) ).
thf(f6,plain,
( ( ~ ( ?? @ ( ( $i > $o ) > $o )
@ ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
= ( Y0 @ Y1 ) ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( ( ~ ( ?? @ ( ( $i > $o ) > $o )
@ ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
= ( Y0 @ Y1 ) ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ? [X0: ( $i > $o ) > $o] :
! [X1: $i > $o] :
( ! [X2: $i] : ( X1 @ X2 )
<=> ( X0 @ X1 ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X0: ( $i > $o ) > $o] :
! [X1: $i > $o] :
( ! [X2: $i] : ( X1 @ X2 )
<=> ( X0 @ X1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
? [X0: ( $i > $o ) > $o] :
! [X1: $i > $o] :
( ! [X2: $i] : ( X1 @ X2 )
<=> ( X0 @ X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.bxUuk2fmKe/DTF2THF_21263.p',conj) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO033^1 : TPTP v9.2.1. Released v3.7.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.34 % Computer : n016.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Feb 24 14:22:36 EST 2026
% 0.15/0.35 % CPUTime :
% 0.15/0.35 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.29/0.50 ---- Original DTF file ---
% 0.29/0.50 thf(spec,logic,$$dhol).
% 0.29/0.50 %------------------------------------------------------------------------------
% 0.29/0.50 % File : SYO033^1 : TPTP v9.2.1. Released v3.7.0.
% 0.29/0.50 % Domain : Syntactic
% 0.29/0.50 % Problem : There is a universal quantifer
% 0.29/0.50 % Version : Especial.
% 0.29/0.50 % English :
% 0.29/0.50
% 0.29/0.50 % Refs : [BB05] Benzmueller & Brown (2005), A Structured Set of Higher
% 0.29/0.50 % : [Ben09] Benzmueller (2009), Email to Geoff Sutcliffe
% 0.29/0.50 % Source : [Ben09]
% 0.29/0.50 % Names : Example 28 [BB05]
% 0.29/0.50
% 0.29/0.50 % Status : Theorem
% 0.29/0.50 % Rating : 0.08 v9.1.0, 0.12 v9.0.0, 0.08 v8.2.0, 0.09 v8.1.0, 0.25 v7.4.0, 0.22 v7.3.0, 0.30 v7.2.0, 0.25 v7.1.0, 0.29 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.33 v6.1.0, 0.17 v5.5.0, 0.20 v5.4.0, 0.50 v4.1.0, 0.33 v3.7.0
% 0.29/0.50 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.29/0.50 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.29/0.50 % Maximal formula atoms : 0 ( 0 avg)
% 0.29/0.50 % Number of connectives : 3 ( 0 ~; 0 |; 0 &; 2 @)
% 0.29/0.50 % ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% 0.29/0.50 % Maximal formula depth : 6 ( 6 avg)
% 0.29/0.50 % Number of types : 2 ( 0 usr)
% 0.29/0.50 % Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% 0.29/0.50 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.29/0.50 % Number of variables : 3 ( 0 ^; 2 !; 1 ?; 3 :)
% 0.29/0.50 % SPC : TH0_THM_NEQ_NAR
% 0.29/0.50
% 0.29/0.50 % Comments : Requires set comprehension
% 0.29/0.50 %------------------------------------------------------------------------------
% 0.29/0.50 thf(conj,conjecture,
% 0.29/0.50 ? [Q: ( $i > $o ) > $o] :
% 0.29/0.50 ! [P: $i > $o] :
% 0.29/0.50 ( ( Q @ P )
% 0.29/0.50 <=> ! [X: $i] : ( P @ X ) ) ).
% 0.29/0.50
% 0.29/0.50 %------------------------------------------------------------------------------
% 0.29/0.50 ------------------------
% 1.66/1.42 ---- Embedded in THF ---
% 1.66/1.42 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.66/1.42 %%% Generated on Tue Feb 24 14:22:37 EST 2026
% 1.66/1.42 %%% using '$$dhol' embedding, version 1.3.0.
% 1.66/1.42 %%% Logic specification used:
% 1.66/1.42 %%% thf(spec, logic, $$dhol).
% 1.66/1.42
% 1.66/1.42 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.bxUuk2fmKe/DTF2DTF21263.p
% See solution above
% 1.66/1.42 ------------------------
% 1.66/1.43 ---- Cleaned THF ---
% 1.66/1.43 thf(conj,conjecture,
% 1.66/1.43 ? [Q: ( $i > $o ) > $o] :
% 1.66/1.43 ! [P: $i > $o] :
% 1.66/1.43 ( ( Q @ P )
% 1.66/1.43 <=> ! [X: $i] : ( P @ X ) ) ).
% 1.66/1.43 ------------------------
% 1.66/1.45 % (21362)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_21263 for (3000ds/4Mi)
% 1.66/1.45 % (21365)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_21263 for (3000ds/2Mi)
% 1.66/1.45 % (21364)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_21263 for (3000ds/2Mi)
% 1.66/1.45 % (21366)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_21263 for (3000ds/275Mi)
% 1.66/1.45 % (21361)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_21263 for (3000ds/183Mi)
% 1.66/1.45 % (21367)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_21263 for (3000ds/18Mi)
% 1.66/1.45 % (21363)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_21263 for (3000ds/27Mi)
% 1.66/1.45 % (21365)Instruction limit reached!
% 1.66/1.45 % (21365)------------------------------
% 1.66/1.45 % (21365)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.45 % (21365)Termination reason: Unknown
% 1.66/1.45 % (21365)Termination phase: Saturation
% 1.66/1.45
% 1.66/1.45 % (21365)Memory used [KB]: 5373
% 1.66/1.45 % (21365)Time elapsed: 0.003 s
% 1.66/1.45 % (21365)Instructions burned: 2 (million)
% 1.66/1.45 % (21365)------------------------------
% 1.66/1.45 % (21365)------------------------------
% 1.66/1.45 % (21363)Refutation not found, incomplete strategy
% 1.66/1.45 % (21363)------------------------------
% 1.66/1.45 % (21363)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.45 % (21363)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.45
% 1.66/1.45
% 1.66/1.45 % (21363)Memory used [KB]: 5500
% 1.66/1.45 % (21363)Time elapsed: 0.003 s
% 1.66/1.45 % (21363)Instructions burned: 1 (million)
% 1.66/1.45 % (21363)------------------------------
% 1.66/1.45 % (21363)------------------------------
% 1.66/1.46 % (21364)Instruction limit reached!
% 1.66/1.46 % (21364)------------------------------
% 1.66/1.46 % (21364)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.46 % (21364)Termination reason: Unknown
% 1.66/1.46 % (21364)Termination phase: Saturation
% 1.66/1.46
% 1.66/1.46 % (21364)Memory used [KB]: 5500
% 1.66/1.46 % (21364)Time elapsed: 0.004 s
% 1.66/1.46 % (21364)Instructions burned: 3 (million)
% 1.66/1.46 % (21364)------------------------------
% 1.66/1.46 % (21364)------------------------------
% 1.66/1.46 % (21366)Refutation not found, incomplete strategy
% 1.66/1.46 % (21366)------------------------------
% 1.66/1.46 % (21366)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.46 % (21366)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.46
% 1.66/1.46
% 1.66/1.46 % (21366)Memory used [KB]: 5500
% 1.66/1.46 % (21366)Time elapsed: 0.004 s
% 1.66/1.46 % (21366)Instructions burned: 3 (million)
% 1.66/1.46 % (21366)------------------------------
% 1.66/1.46 % (21366)------------------------------
% 1.66/1.46 % (21362)Instruction limit reached!
% 1.66/1.46 % (21362)------------------------------
% 1.66/1.46 % (21362)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.46 % (21362)Termination reason: Unknown
% 1.66/1.46 % (21362)Termination phase: Saturation
% 1.66/1.46
% 1.66/1.46 % (21362)Memory used [KB]: 5500
% 1.66/1.46 % (21362)Time elapsed: 0.005 s
% 1.66/1.46 % (21362)Instructions burned: 5 (million)
% 1.66/1.46 % (21362)------------------------------
% 1.66/1.46 % (21362)------------------------------
% 1.66/1.46 % (21367)Instruction limit reached!
% 1.66/1.46 % (21367)------------------------------
% 1.66/1.46 % (21367)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.46 % (21367)Termination reason: Unknown
% 1.66/1.46 % (21367)Termination phase: Saturation
% 1.66/1.46
% 1.66/1.46 % (21367)Memory used [KB]: 5628
% 1.66/1.46 % (21367)Time elapsed: 0.011 s
% 1.66/1.46 % (21367)Instructions burned: 18 (million)
% 1.66/1.46 % (21367)------------------------------
% 1.66/1.46 % (21367)------------------------------
% 1.66/1.47 % (21368)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_21263 for (2999ds/3Mi)
% 1.66/1.47 % (21369)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_21263 for (2999ds/37Mi)
% 1.66/1.47 % (21370)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_21263 for (2999ds/15Mi)
% 1.66/1.47 % (21371)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_21263 for (2999ds/3Mi)
% 1.66/1.47 % (21372)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_21263 for (2999ds/1041Mi)
% 1.66/1.47 % (21368)Instruction limit reached!
% 1.66/1.47 % (21368)------------------------------
% 1.66/1.47 % (21368)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.47 % (21368)Termination reason: Unknown
% 1.66/1.47 % (21368)Termination phase: Saturation
% 1.66/1.47
% 1.66/1.47 % (21368)Memory used [KB]: 5500
% 1.66/1.47 % (21368)Time elapsed: 0.004 s
% 1.66/1.47 % (21368)Instructions burned: 4 (million)
% 1.66/1.47 % (21368)------------------------------
% 1.66/1.47 % (21368)------------------------------
% 1.66/1.47 % (21371)Instruction limit reached!
% 1.66/1.47 % (21371)------------------------------
% 1.66/1.47 % (21371)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.47 % (21371)Termination reason: Unknown
% 1.66/1.47 % (21371)Termination phase: Saturation
% 1.66/1.47
% 1.66/1.47 % (21371)Memory used [KB]: 5500
% 1.66/1.47 % (21371)Time elapsed: 0.003 s
% 1.66/1.47 % (21371)Instructions burned: 3 (million)
% 1.66/1.47 % (21371)------------------------------
% 1.66/1.47 % (21371)------------------------------
% 1.66/1.47 % (21372)First to succeed.
% 1.66/1.47 % (21369)Also succeeded, but the first one will report.
% 1.66/1.48 % (21372)Refutation found. Thanks to Tanya!
% 1.66/1.48 % SZS status Theorem for DTF2THF_21263
% 1.66/1.48 % SZS output start Proof for DTF2THF_21263
% 1.66/1.48 thf(func_def_11, type, ph1: !>[X0: $tType]:(X0)).
% 1.66/1.48 thf(func_def_12, type, sK2: (($i > $o) > $o) > $i > $o).
% 1.66/1.48 thf(f21,plain,(
% 1.66/1.48 $false),
% 1.66/1.48 inference(equality_resolution,[status(thm)],[f15])).
% 1.66/1.48 thf(f15,plain,(
% 1.66/1.48 ( ! [X1 : ($i > $o) > $o] : (((X1 @ (sK2 @ X1)) != (!! @ $i @ (sK2 @ X1)))) )),
% 1.66/1.48 inference(binary_proxy_clausification,[status(thm)],[f14])).
% 1.66/1.48 thf(f14,plain,(
% 1.66/1.48 ( ! [X1 : ($i > $o) > $o] : (($false = ((!! @ $i @ (sK2 @ X1)) = (X1 @ (sK2 @ X1))))) )),
% 1.66/1.48 inference(beta_eta_normalization,[status(thm)],[f13])).
% 1.66/1.48 thf(f13,plain,(
% 1.66/1.48 ( ! [X1 : ($i > $o) > $o] : (($false = ((^[Y0 : $i > $o]: ((!! @ $i @ Y0) = (X1 @ Y0))) @ (sK2 @ X1)))) )),
% 1.66/1.48 inference(sigma_clausification,[status(thm)],[f12])).
% 1.66/1.48 thf(f12,plain,(
% 1.66/1.48 ( ! [X1 : ($i > $o) > $o] : (($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ Y0) = (X1 @ Y0)))))) )),
% 1.66/1.48 inference(beta_eta_normalization,[status(thm)],[f11])).
% 1.66/1.48 thf(f11,plain,(
% 1.66/1.48 ( ! [X1 : ($i > $o) > $o] : ((((^[Y0 : ($i > $o) > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ Y1) = (Y0 @ Y1))))) @ X1) = $false)) )),
% 1.66/1.48 inference(pi_clausification,[status(thm)],[f8])).
% 1.66/1.48 thf(f8,plain,(
% 1.66/1.48 ($false = (?? @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ Y1) = (Y0 @ Y1)))))))),
% 1.66/1.48 inference(not_proxy_clausification,[status(thm)],[f7])).
% 1.66/1.48 thf(f7,plain,(
% 1.66/1.48 ((~ (?? @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ Y1) = (Y0 @ Y1))))))) = $true)),
% 1.66/1.48 inference(beta_eta_normalization,[status(thm)],[f6])).
% 1.66/1.48 thf(f6,plain,(
% 1.66/1.48 ((~ (?? @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2))) = (Y0 @ Y1))))))) = $true)),
% 1.66/1.48 inference(cnf_transformation,[status(thm)],[f5])).
% 1.66/1.48 thf(f5,plain,(
% 1.66/1.48 ((~ (?? @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2))) = (Y0 @ Y1))))))) = $true)),
% 1.66/1.48 inference(fool_elimination,[status(thm)],[f4])).
% 1.66/1.48 thf(f4,plain,(
% 1.66/1.48 ~? [X0 : ($i > $o) > $o] : ! [X1 : $i > $o] : (! [X2 : $i] : (X1 @ X2) <=> (X0 @ X1))),
% 1.66/1.48 inference(rectify,[status(thm)],[f2])).
% 1.66/1.48 thf(f2,negated_conjecture,(
% 1.66/1.48 ~? [X0 : ($i > $o) > $o] : ! [X1 : $i > $o] : (! [X2 : $i] : (X1 @ X2) <=> (X0 @ X1))),
% 1.66/1.48 inference(negated_conjecture,[status(cth)],[f1])).
% 1.66/1.48 thf(f1,conjecture,(
% 1.66/1.48 ? [X0 : ($i > $o) > $o] : ! [X1 : $i > $o] : (! [X2 : $i] : (X1 @ X2) <=> (X0 @ X1))),
% 1.66/1.48 file('/export/starexec/sandbox/tmp/tmp.bxUuk2fmKe/DTF2THF_21263.p',conj)).
% 1.66/1.48 % SZS output end Proof for DTF2THF_21263
% 1.66/1.48 % (21372)------------------------------
% 1.66/1.48 % (21372)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.48 % (21372)Termination reason: Refutation
% 1.66/1.48
% 1.66/1.48 % (21372)Memory used [KB]: 5500
% 1.66/1.48 % (21372)Time elapsed: 0.004 s
% 1.66/1.48 % (21372)Instructions burned: 2 (million)
% 1.66/1.48 % (21372)------------------------------
% 1.66/1.48 % (21372)------------------------------
% 1.66/1.48 % (21360)Success in time 0.034 s
%------------------------------------------------------------------------------