%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV116^5 : TPTP v9.2.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:40:19 AM UTC 2026
% Result : Theorem 1.64s 1.36s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 2
% Syntax : Number of formulae : 26 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 232 ( 22 equ; 0 cnn)
% Maximal formula atoms : 11 ( 8 avg)
% Number of connectives : 365 ( 6 ~; 0 |; 41 &; 252 @)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 131 ( 131 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 5 con; 0-3 aty)
% ( 25 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 63 ( 59 ^; 4 !; 0 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
cS: ( $i > $i > $o ) > $o ).
thf(func_def_3,type,
cSTRANGE_HO_ABBR: ( ( $i > $i > $o ) > $o ) > $i > $i > $o ).
thf(func_def_17,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_18,type,
sK2: $i > $i > $o ).
thf(f54,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f53]) ).
thf(f53,plain,
$true = $false,
inference(forward_demodulation,[status(thm)],[f52,f16]) ).
thf(f16,plain,
( ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ y @ x )
& ( cS @ Y0 ) )
=> ( Y0 @ x @ y ) ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f13]) ).
thf(f13,plain,
( ( ( ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ x @ y )
& ( cS @ Y0 ) )
=> ( Y0 @ y @ x ) ) )
& ( cS
@ ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ Y0 @ Y1 )
& ( cS @ Y2 ) )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) )
=> ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ y @ x )
& ( cS @ Y0 ) )
=> ( Y0 @ x @ y ) ) ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f12]) ).
thf(f12,plain,
( $true
= ( ~ ( ( ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ x @ y )
& ( cS @ Y0 ) )
=> ( Y0 @ y @ x ) ) )
& ( cS
@ ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ Y0 @ Y1 )
& ( cS @ Y2 ) )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) )
=> ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ y @ x )
& ( cS @ Y0 ) )
=> ( Y0 @ x @ y ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f11]) ).
thf(f11,plain,
( $true
= ( ~ ( ( ( ^ [Y0: ( $i > $i > $o ) > $o,Y1: $i,Y2: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y3: $i > $i > $o] :
( ( ( Y3 @ Y1 @ Y2 )
& ( Y0 @ Y3 ) )
=> ( Y3 @ Y2 @ Y1 ) ) )
@ cS
@ x
@ y )
& ( cS
@ ( ^ [Y0: ( $i > $i > $o ) > $o,Y1: $i,Y2: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y3: $i > $i > $o] :
( ( ( Y3 @ Y1 @ Y2 )
& ( Y0 @ Y3 ) )
=> ( Y3 @ Y2 @ Y1 ) ) )
@ cS ) ) )
=> ( ^ [Y0: ( $i > $i > $o ) > $o,Y1: $i,Y2: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y3: $i > $i > $o] :
( ( ( Y3 @ Y1 @ Y2 )
& ( Y0 @ Y3 ) )
=> ( Y3 @ Y2 @ Y1 ) ) )
@ cS
@ y
@ x ) ) ) ),
inference(definition_unfolding,[status(thm)],[f9,f10,f10,f10]) ).
thf(f10,plain,
( cSTRANGE_HO_ABBR
= ( ^ [Y0: ( $i > $i > $o ) > $o,Y1: $i,Y2: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y3: $i > $i > $o] :
( ( ( Y3 @ Y1 @ Y2 )
& ( Y0 @ Y3 ) )
=> ( Y3 @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
( cSTRANGE_HO_ABBR
= ( ^ [Y0: ( $i > $i > $o ) > $o,Y1: $i,Y2: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y3: $i > $i > $o] :
( ( ( Y3 @ Y1 @ Y2 )
& ( Y0 @ Y3 ) )
=> ( Y3 @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f5]) ).
thf(f5,plain,
( ( ^ [X0: ( $i > $i > $o ) > $o,X1: $i,X2: $i] :
! [X3: $i > $i > $o] :
( ( ( X0 @ X3 )
& ( X3 @ X1 @ X2 ) )
=> ( X3 @ X2 @ X1 ) ) )
= cSTRANGE_HO_ABBR ),
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
( ( ^ [X0: ( $i > $i > $o ) > $o,X1: $i,X2: $i] :
! [X3: $i > $i > $o] :
( ( ( X0 @ X3 )
& ( X3 @ X1 @ X2 ) )
=> ( X3 @ X2 @ X1 ) ) )
= cSTRANGE_HO_ABBR ),
file('/export/starexec/sandbox2/tmp/tmp.9wb91CugNL/DTF2THF_19166.p',cSTRANGE_HO_ABBR_def) ).
thf(f9,plain,
( $true
= ( ~ ( ( ( cSTRANGE_HO_ABBR @ cS @ x @ y )
& ( cS @ ( cSTRANGE_HO_ABBR @ cS ) ) )
=> ( cSTRANGE_HO_ABBR @ cS @ y @ x ) ) ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f8,plain,
( $true
= ( ~ ( ( ( cSTRANGE_HO_ABBR @ cS @ x @ y )
& ( cS @ ( cSTRANGE_HO_ABBR @ cS ) ) )
=> ( cSTRANGE_HO_ABBR @ cS @ y @ x ) ) ) ),
inference(fool_elimination,[status(thm)],[f7]) ).
thf(f7,plain,
~ ( ( ( cS @ ( cSTRANGE_HO_ABBR @ cS ) )
& ( cSTRANGE_HO_ABBR @ cS @ x @ y ) )
=> ( cSTRANGE_HO_ABBR @ cS @ y @ x ) ),
inference(rectify,[status(thm)],[f3]) ).
thf(f3,negated_conjecture,
~ ( ( ( cS @ ( cSTRANGE_HO_ABBR @ cS ) )
& ( cSTRANGE_HO_ABBR @ cS @ x @ y ) )
=> ( cSTRANGE_HO_ABBR @ cS @ y @ x ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
thf(f2,conjecture,
( ( ( cS @ ( cSTRANGE_HO_ABBR @ cS ) )
& ( cSTRANGE_HO_ABBR @ cS @ x @ y ) )
=> ( cSTRANGE_HO_ABBR @ cS @ y @ x ) ),
file('/export/starexec/sandbox2/tmp/tmp.9wb91CugNL/DTF2THF_19166.p',cSTRANGE_HO_EXAMPLE) ).
thf(f52,plain,
( $true
= ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ y @ x )
& ( cS @ Y0 ) )
=> ( Y0 @ x @ y ) ) ) ),
inference(boolean_simplification,[status(thm)],[f51]) ).
thf(f51,plain,
( $true
= ( $true
=> ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ y @ x )
& ( cS @ Y0 ) )
=> ( Y0 @ x @ y ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f50,f35]) ).
thf(f35,plain,
( $true
= ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ x @ y )
& ( cS @ Y0 ) )
=> ( Y0 @ y @ x ) ) ) ),
inference(boolean_simplification,[status(thm)],[f34]) ).
thf(f34,plain,
( $true
= ( ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ x @ y )
& ( cS @ Y0 ) )
=> ( Y0 @ y @ x ) ) )
& $true ) ),
inference(backward_demodulation,[status(thm)],[f17,f32]) ).
thf(f32,plain,
( $true
= ( cS
@ ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ Y0 @ Y1 )
& ( cS @ Y2 ) )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f17]) ).
thf(f17,plain,
( $true
= ( ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ x @ y )
& ( cS @ Y0 ) )
=> ( Y0 @ y @ x ) ) )
& ( cS
@ ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ Y0 @ Y1 )
& ( cS @ Y2 ) )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f13]) ).
thf(f50,plain,
( $true
= ( ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ x @ y )
& ( cS @ Y0 ) )
=> ( Y0 @ y @ x ) ) )
=> ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ y @ x )
& ( cS @ Y0 ) )
=> ( Y0 @ x @ y ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f49]) ).
thf(f49,plain,
( $true
= ( ( ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ x @ y )
& ( cS @ Y0 ) )
=> ( Y0 @ y @ x ) ) )
& $true )
=> ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ y @ x )
& ( cS @ Y0 ) )
=> ( Y0 @ x @ y ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f48]) ).
thf(f48,plain,
( $true
= ( ( ( ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ Y0 @ Y1 )
& ( cS @ Y2 ) )
=> ( Y2 @ Y1 @ Y0 ) ) )
@ x
@ y )
& $true )
=> ( ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ Y0 @ Y1 )
& ( cS @ Y2 ) )
=> ( Y2 @ Y1 @ Y0 ) ) )
@ y
@ x ) ) ),
inference(superposition,[status(thm)],[f37,f32]) ).
thf(f37,plain,
! [X1: $i > $i > $o] :
( $true
= ( ( ( X1 @ x @ y )
& ( cS @ X1 ) )
=> ( X1 @ y @ x ) ) ),
inference(beta_eta_normalization,[status(thm)],[f36]) ).
thf(f36,plain,
! [X1: $i > $i > $o] :
( $true
= ( ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ x @ y )
& ( cS @ Y0 ) )
=> ( Y0 @ y @ x ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV116^5 : TPTP v9.2.1. Bugfixed v5.2.0.
% 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.32 % Computer : n022.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue Feb 24 12:40:21 EST 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.32 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.20/0.44 ---- Original DTF file ---
% 0.20/0.44 thf(spec,logic,$$dhol).
% 0.20/0.44 %------------------------------------------------------------------------------
% 0.20/0.44 % File : SEV116^5 : TPTP v9.2.1. Bugfixed v5.2.0.
% 0.20/0.44 % Domain : Set Theory (Relations)
% 0.20/0.44 % Problem : TPS problem STRANGE-HO-EXAMPLE
% 0.20/0.44 % Version : Especial.
% 0.20/0.44 % English :
% 0.20/0.44
% 0.20/0.44 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.44 % Source : [Bro09]
% 0.20/0.44 % Names : tps_0073 [Bro09]
% 0.20/0.44 % : STRANGE-HO-EXAMPLE [TPS]
% 0.20/0.44
% 0.20/0.44 % Status : Theorem
% 0.20/0.44 % Rating : 0.00 v8.2.0, 0.08 v8.1.0, 0.00 v7.4.0, 0.11 v7.2.0, 0.12 v7.1.0, 0.00 v6.2.0, 0.29 v6.1.0, 0.14 v6.0.0, 0.29 v5.5.0, 0.33 v5.4.0, 0.40 v5.2.0
% 0.20/0.44 % Syntax : Number of formulae : 6 ( 1 unt; 4 typ; 1 def)
% 0.20/0.44 % Number of atoms : 9 ( 1 equ; 0 cnn)
% 0.20/0.44 % Maximal formula atoms : 7 ( 4 avg)
% 0.20/0.44 % Number of connectives : 17 ( 0 ~; 0 |; 2 &; 13 @)
% 0.20/0.44 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.20/0.44 % Maximal formula depth : 6 ( 4 avg)
% 0.20/0.44 % Number of types : 2 ( 0 usr)
% 0.20/0.44 % Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% 0.20/0.44 % Number of symbols : 5 ( 4 usr; 2 con; 0-3 aty)
% 0.20/0.44 % Number of variables : 4 ( 3 ^; 1 !; 0 ?; 4 :)
% 0.20/0.44 % SPC : TH0_THM_EQU_NAR
% 0.20/0.44
% 0.20/0.44 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.44 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.44 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.44 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.44 % Bugfixes : v5.2.0 - Added missing type declarations.
% 0.20/0.44 %------------------------------------------------------------------------------
% 0.20/0.44 thf(cS_type,type,
% 0.20/0.44 cS: ( $i > $i > $o ) > $o ).
% 0.20/0.44
% 0.20/0.44 thf(x_type,type,
% 0.20/0.44 x: $i ).
% 0.20/0.44
% 0.20/0.44 thf(y_type,type,
% 0.20/0.44 y: $i ).
% 0.20/0.44
% 0.20/0.44 thf(cSTRANGE_HO_ABBR_type,type,
% 0.20/0.44 cSTRANGE_HO_ABBR: ( ( $i > $i > $o ) > $o ) > $i > $i > $o ).
% 0.20/0.44
% 0.20/0.44 thf(cSTRANGE_HO_ABBR_def,definition,
% 0.20/0.44 ( cSTRANGE_HO_ABBR
% 0.20/0.44 = ( ^ [S: ( $i > $i > $o ) > $o,Xx: $i,Xy: $i] :
% 0.20/0.44 ! [Xp: $i > $i > $o] :
% 0.20/0.44 ( ( ( S @ Xp )
% 0.20/0.44 & ( Xp @ Xx @ Xy ) )
% 0.20/0.44 => ( Xp @ Xy @ Xx ) ) ) ) ).
% 0.20/0.44
% 0.20/0.44 thf(cSTRANGE_HO_EXAMPLE,conjecture,
% 0.20/0.44 ( ( ( cS @ ( cSTRANGE_HO_ABBR @ cS ) )
% 0.20/0.44 & ( cSTRANGE_HO_ABBR @ cS @ x @ y ) )
% 0.20/0.44 => ( cSTRANGE_HO_ABBR @ cS @ y @ x ) ) ).
% 0.20/0.44
% 0.20/0.44 %------------------------------------------------------------------------------
% 0.20/0.44 ------------------------
% 1.45/1.27 ---- Embedded in THF ---
% 1.45/1.27 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.45/1.27 %%% Generated on Tue Feb 24 12:40:22 EST 2026
% 1.45/1.27 %%% using '$$dhol' embedding, version 1.3.0.
% 1.45/1.27 %%% Logic specification used:
% 1.45/1.27 %%% thf(spec, logic, $$dhol).
% 1.45/1.27
% 1.45/1.27 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.9wb91CugNL/DTF2DTF19166.p
% See solution above
% 1.45/1.27 ------------------------
% 1.45/1.28 ---- Cleaned THF ---
% 1.45/1.28 thf(cS_type,type,
% 1.45/1.28 cS: ( $i > $i > $o ) > $o ).
% 1.45/1.28
% 1.45/1.28 thf(x_type,type,
% 1.45/1.28 x: $i ).
% 1.45/1.28
% 1.45/1.28 thf(y_type,type,
% 1.45/1.28 y: $i ).
% 1.45/1.28
% 1.45/1.28 thf(cSTRANGE_HO_ABBR_type,type,
% 1.45/1.28 cSTRANGE_HO_ABBR: ( ( $i > $i > $o ) > $o ) > $i > $i > $o ).
% 1.45/1.28
% 1.45/1.28 thf(cSTRANGE_HO_ABBR_def,definition,
% 1.45/1.28 ( cSTRANGE_HO_ABBR
% 1.45/1.28 = ( ^ [S: ( $i > $i > $o ) > $o,Xx: $i,Xy: $i] :
% 1.45/1.28 ! [Xp: $i > $i > $o] :
% 1.45/1.28 ( ( ( S @ Xp )
% 1.45/1.28 & ( Xp @ Xx @ Xy ) )
% 1.45/1.28 => ( Xp @ Xy @ Xx ) ) ) ) ).
% 1.45/1.28
% 1.45/1.28 thf(cSTRANGE_HO_EXAMPLE,conjecture,
% 1.45/1.28 ( ( ( cS @ ( cSTRANGE_HO_ABBR @ cS ) )
% 1.45/1.28 & ( cSTRANGE_HO_ABBR @ cS @ x @ y ) )
% 1.45/1.28 => ( cSTRANGE_HO_ABBR @ cS @ y @ x ) ) ).
% 1.45/1.28 ------------------------
% 1.45/1.29 % (19325)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_19166 for (3000ds/183Mi)
% 1.64/1.30 % (19331)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_19166 for (3000ds/18Mi)
% 1.64/1.30 % (19330)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_19166 for (3000ds/275Mi)
% 1.64/1.30 % (19330)Refutation not found, incomplete strategy
% 1.64/1.30 % (19330)------------------------------
% 1.64/1.30 % (19330)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.30 % (19330)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.30
% 1.64/1.30
% 1.64/1.30 % (19330)Memory used [KB]: 5500
% 1.64/1.30 % (19330)Time elapsed: 0.003 s
% 1.64/1.30 % (19330)Instructions burned: 2 (million)
% 1.64/1.30 % (19330)------------------------------
% 1.64/1.30 % (19330)------------------------------
% 1.64/1.31 % (19326)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_19166 for (3000ds/4Mi)
% 1.64/1.31 % (19331)Instruction limit reached!
% 1.64/1.31 % (19331)------------------------------
% 1.64/1.31 % (19331)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.31 % (19331)Termination reason: Unknown
% 1.64/1.31 % (19331)Termination phase: Saturation
% 1.64/1.31
% 1.64/1.31 % (19331)Memory used [KB]: 5628
% 1.64/1.31 % (19331)Time elapsed: 0.011 s
% 1.64/1.31 % (19331)Instructions burned: 19 (million)
% 1.64/1.31 % (19331)------------------------------
% 1.64/1.31 % (19331)------------------------------
% 1.64/1.31 % (19327)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_19166 for (3000ds/27Mi)
% 1.64/1.31 % (19326)Instruction limit reached!
% 1.64/1.31 % (19326)------------------------------
% 1.64/1.31 % (19326)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.31 % (19326)Termination reason: Unknown
% 1.64/1.31 % (19326)Termination phase: Saturation
% 1.64/1.31
% 1.64/1.31 % (19326)Memory used [KB]: 5500
% 1.64/1.31 % (19326)Time elapsed: 0.004 s
% 1.64/1.31 % (19326)Instructions burned: 4 (million)
% 1.64/1.31 % (19326)------------------------------
% 1.64/1.31 % (19326)------------------------------
% 1.64/1.31 % (19328)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_19166 for (3000ds/2Mi)
% 1.64/1.31 % (19327)Refutation not found, incomplete strategy
% 1.64/1.31 % (19327)------------------------------
% 1.64/1.31 % (19327)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.31 % (19327)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.31
% 1.64/1.31
% 1.64/1.31 % (19327)Memory used [KB]: 5500
% 1.64/1.31 % (19327)Time elapsed: 0.005 s
% 1.64/1.31 % (19327)Instructions burned: 3 (million)
% 1.64/1.31 % (19328)Instruction limit reached!
% 1.64/1.31 % (19328)------------------------------
% 1.64/1.31 % (19328)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.31 % (19328)Termination reason: Unknown
% 1.64/1.31 % (19328)Termination phase: Saturation
% 1.64/1.31
% 1.64/1.31 % (19328)Memory used [KB]: 895
% 1.64/1.31 % (19328)Time elapsed: 0.004 s
% 1.64/1.31 % (19328)Instructions burned: 2 (million)
% 1.64/1.31 % (19328)------------------------------
% 1.64/1.31 % (19328)------------------------------
% 1.64/1.31 % (19327)------------------------------
% 1.64/1.31 % (19327)------------------------------
% 1.64/1.31 % (19329)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_19166 for (3000ds/2Mi)
% 1.64/1.31 % (19329)Instruction limit reached!
% 1.64/1.31 % (19329)------------------------------
% 1.64/1.31 % (19329)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.31 % (19329)Termination reason: Unknown
% 1.64/1.31 % (19329)Termination phase: Saturation
% 1.64/1.31
% 1.64/1.31 % (19329)Memory used [KB]: 5500
% 1.64/1.31 % (19329)Time elapsed: 0.005 s
% 1.64/1.31 % (19329)Instructions burned: 2 (million)
% 1.64/1.31 % (19329)------------------------------
% 1.64/1.31 % (19329)------------------------------
% 1.64/1.32 % (19335)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_19166 for (2999ds/3Mi)
% 1.64/1.32 % (19337)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_19166 for (2999ds/37Mi)
% 1.64/1.32 % (19335)Instruction limit reached!
% 1.64/1.32 % (19335)------------------------------
% 1.64/1.32 % (19335)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.32 % (19335)Termination reason: Unknown
% 1.64/1.32 % (19335)Termination phase: Saturation
% 1.64/1.32
% 1.64/1.32 % (19335)Memory used [KB]: 5500
% 1.64/1.32 % (19335)Time elapsed: 0.003 s
% 1.64/1.32 % (19335)Instructions burned: 3 (million)
% 1.64/1.32 % (19335)------------------------------
% 1.64/1.32 % (19335)------------------------------
% 1.64/1.33 % (19338)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_19166 for (2999ds/15Mi)
% 1.64/1.33 % (19338)Refutation not found, incomplete strategy
% 1.64/1.33 % (19338)------------------------------
% 1.64/1.33 % (19338)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.33 % (19338)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.33
% 1.64/1.33
% 1.64/1.33 % (19338)Memory used [KB]: 5628
% 1.64/1.33 % (19338)Time elapsed: 0.005 s
% 1.64/1.33 % (19338)Instructions burned: 5 (million)
% 1.64/1.33 % (19338)------------------------------
% 1.64/1.33 % (19338)------------------------------
% 1.64/1.34 % (19341)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_19166 for (2999ds/7Mi)
% 1.64/1.34 % (19344)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_19166 for (2999ds/16Mi)
% 1.64/1.34 % (19341)Instruction limit reached!
% 1.64/1.34 % (19341)------------------------------
% 1.64/1.34 % (19341)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.34 % (19341)Termination reason: Unknown
% 1.64/1.34 % (19341)Termination phase: Saturation
% 1.64/1.34
% 1.64/1.34 % (19341)Memory used [KB]: 1023
% 1.64/1.34 % (19341)Time elapsed: 0.006 s
% 1.64/1.34 % (19341)Instructions burned: 7 (million)
% 1.64/1.34 % (19341)------------------------------
% 1.64/1.34 % (19341)------------------------------
% 1.64/1.34 % (19339)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_19166 for (2999ds/3Mi)
% 1.64/1.34 % (19347)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_19166 for (2999ds/3Mi)
% 1.64/1.34 % (19340)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_19166 for (2999ds/1041Mi)
% 1.64/1.34 % (19337)Instruction limit reached!
% 1.64/1.34 % (19337)------------------------------
% 1.64/1.34 % (19337)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.34 % (19337)Termination reason: Unknown
% 1.64/1.34 % (19337)Termination phase: Saturation
% 1.64/1.34
% 1.64/1.34 % (19337)Memory used [KB]: 5756
% 1.64/1.34 % (19337)Time elapsed: 0.020 s
% 1.64/1.34 % (19337)Instructions burned: 37 (million)
% 1.64/1.34 % (19337)------------------------------
% 1.64/1.34 % (19337)------------------------------
% 1.64/1.34 % (19339)Instruction limit reached!
% 1.64/1.34 % (19339)------------------------------
% 1.64/1.34 % (19339)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.34 % (19339)Termination reason: Unknown
% 1.64/1.34 % (19339)Termination phase: Saturation
% 1.64/1.34
% 1.64/1.34 % (19339)Memory used [KB]: 5500
% 1.64/1.34 % (19339)Time elapsed: 0.004 s
% 1.64/1.34 % (19339)Instructions burned: 3 (million)
% 1.64/1.34 % (19339)------------------------------
% 1.64/1.34 % (19339)------------------------------
% 1.64/1.34 % (19347)Instruction limit reached!
% 1.64/1.34 % (19347)------------------------------
% 1.64/1.34 % (19347)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.34 % (19347)Termination reason: Unknown
% 1.64/1.34 % (19347)Termination phase: Saturation
% 1.64/1.34
% 1.64/1.34 % (19347)Memory used [KB]: 5500
% 1.64/1.34 % (19347)Time elapsed: 0.003 s
% 1.64/1.34 % (19347)Instructions burned: 3 (million)
% 1.64/1.34 % (19347)------------------------------
% 1.64/1.34 % (19347)------------------------------
% 1.64/1.35 % (19344)Instruction limit reached!
% 1.64/1.35 % (19344)------------------------------
% 1.64/1.35 % (19344)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.35 % (19344)Termination reason: Unknown
% 1.64/1.35 % (19344)Termination phase: Saturation
% 1.64/1.35
% 1.64/1.35 % (19344)Memory used [KB]: 5628
% 1.64/1.35 % (19344)Time elapsed: 0.011 s
% 1.64/1.35 % (19344)Instructions burned: 17 (million)
% 1.64/1.35 % (19344)------------------------------
% 1.64/1.35 % (19344)------------------------------
% 1.64/1.35 % (19340)First to succeed.
% 1.64/1.35 % (19352)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_19166 for (2999ds/7Mi)
% 1.64/1.35 % (19352)Refutation not found, incomplete strategy
% 1.64/1.35 % (19352)------------------------------
% 1.64/1.35 % (19352)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.35 % (19352)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.35
% 1.64/1.35
% 1.64/1.35 % (19352)Memory used [KB]: 5500
% 1.64/1.35 % (19352)Time elapsed: 0.001 s
% 1.64/1.35 % (19352)Instructions burned: 1 (million)
% 1.64/1.35 % (19352)------------------------------
% 1.64/1.35 % (19352)------------------------------
% 1.64/1.36 % (19340)Refutation found. Thanks to Tanya!
% 1.64/1.36 % SZS status Theorem for DTF2THF_19166
% 1.64/1.36 % SZS output start Proof for DTF2THF_19166
% 1.64/1.36 thf(func_def_0, type, cS: ($i > $i > $o) > $o).
% 1.64/1.36 thf(func_def_3, type, cSTRANGE_HO_ABBR: (($i > $i > $o) > $o) > $i > $i > $o).
% 1.64/1.36 thf(func_def_17, type, ph1: !>[X0: $tType]:(X0)).
% 1.64/1.36 thf(func_def_18, type, sK2: $i > $i > $o).
% 1.64/1.36 thf(f54,plain,(
% 1.64/1.36 $false),
% 1.64/1.36 inference(trivial_inequality_removal,[status(thm)],[f53])).
% 1.64/1.36 thf(f53,plain,(
% 1.64/1.36 ($true = $false)),
% 1.64/1.36 inference(forward_demodulation,[status(thm)],[f52,f16])).
% 1.64/1.36 thf(f16,plain,(
% 1.64/1.36 ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ y @ x) & (cS @ Y0)) => (Y0 @ x @ y)))) = $false)),
% 1.64/1.36 inference(binary_proxy_clausification,[status(thm)],[f13])).
% 1.64/1.36 thf(f13,plain,(
% 1.64/1.36 ((((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ x @ y) & (cS @ Y0)) => (Y0 @ y @ x)))) & (cS @ (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ Y0 @ Y1) & (cS @ Y2)) => (Y2 @ Y1 @ Y0))))))))) => (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ y @ x) & (cS @ Y0)) => (Y0 @ x @ y))))) = $false)),
% 1.64/1.36 inference(not_proxy_clausification,[status(thm)],[f12])).
% 1.64/1.36 thf(f12,plain,(
% 1.64/1.36 ($true = (~ (((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ x @ y) & (cS @ Y0)) => (Y0 @ y @ x)))) & (cS @ (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ Y0 @ Y1) & (cS @ Y2)) => (Y2 @ Y1 @ Y0))))))))) => (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ y @ x) & (cS @ Y0)) => (Y0 @ x @ y)))))))),
% 1.64/1.36 inference(beta_eta_normalization,[status(thm)],[f11])).
% 1.64/1.36 thf(f11,plain,(
% 1.64/1.36 ($true = (~ ((((^[Y0 : ($i > $i > $o) > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) & (Y0 @ Y3)) => (Y3 @ Y2 @ Y1))))))))) @ cS @ x @ y) & (cS @ ((^[Y0 : ($i > $i > $o) > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) & (Y0 @ Y3)) => (Y3 @ Y2 @ Y1))))))))) @ cS))) => ((^[Y0 : ($i > $i > $o) > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) & (Y0 @ Y3)) => (Y3 @ Y2 @ Y1))))))))) @ cS @ y @ x))))),
% 1.64/1.36 inference(definition_unfolding,[status(thm)],[f9,f10,f10,f10])).
% 1.64/1.36 thf(f10,plain,(
% 1.64/1.36 (cSTRANGE_HO_ABBR = (^[Y0 : ($i > $i > $o) > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) & (Y0 @ Y3)) => (Y3 @ Y2 @ Y1))))))))))),
% 1.64/1.36 inference(cnf_transformation,[status(thm)],[f6])).
% 1.64/1.36 thf(f6,plain,(
% 1.64/1.36 (cSTRANGE_HO_ABBR = (^[Y0 : ($i > $i > $o) > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) & (Y0 @ Y3)) => (Y3 @ Y2 @ Y1))))))))))),
% 1.64/1.36 inference(fool_elimination,[status(thm)],[f5])).
% 1.64/1.36 thf(f5,plain,(
% 1.64/1.36 ((^[X0 : ($i > $i > $o) > $o, X1 : $i, X2 : $i] : (! [X3 : $i > $i > $o] : (((X0 @ X3) & (X3 @ X1 @ X2)) => (X3 @ X2 @ X1)))) = cSTRANGE_HO_ABBR)),
% 1.64/1.36 inference(rectify,[status(thm)],[f1])).
% 1.64/1.36 thf(f1,axiom,(
% 1.64/1.36 ((^[X0 : ($i > $i > $o) > $o, X1 : $i, X2 : $i] : (! [X3 : $i > $i > $o] : (((X0 @ X3) & (X3 @ X1 @ X2)) => (X3 @ X2 @ X1)))) = cSTRANGE_HO_ABBR)),
% 1.64/1.36 file('/export/starexec/sandbox2/tmp/tmp.9wb91CugNL/DTF2THF_19166.p',cSTRANGE_HO_ABBR_def)).
% 1.64/1.36 thf(f9,plain,(
% 1.64/1.36 ($true = (~ (((cSTRANGE_HO_ABBR @ cS @ x @ y) & (cS @ (cSTRANGE_HO_ABBR @ cS))) => (cSTRANGE_HO_ABBR @ cS @ y @ x))))),
% 1.64/1.36 inference(cnf_transformation,[status(thm)],[f8])).
% 1.64/1.36 thf(f8,plain,(
% 1.64/1.36 ($true = (~ (((cSTRANGE_HO_ABBR @ cS @ x @ y) & (cS @ (cSTRANGE_HO_ABBR @ cS))) => (cSTRANGE_HO_ABBR @ cS @ y @ x))))),
% 1.64/1.36 inference(fool_elimination,[status(thm)],[f7])).
% 1.64/1.36 thf(f7,plain,(
% 1.64/1.36 ~(((cS @ (cSTRANGE_HO_ABBR @ cS)) & (cSTRANGE_HO_ABBR @ cS @ x @ y)) => (cSTRANGE_HO_ABBR @ cS @ y @ x))),
% 1.64/1.36 inference(rectify,[status(thm)],[f3])).
% 1.64/1.36 thf(f3,negated_conjecture,(
% 1.64/1.36 ~(((cS @ (cSTRANGE_HO_ABBR @ cS)) & (cSTRANGE_HO_ABBR @ cS @ x @ y)) => (cSTRANGE_HO_ABBR @ cS @ y @ x))),
% 1.64/1.36 inference(negated_conjecture,[status(cth)],[f2])).
% 1.64/1.36 thf(f2,conjecture,(
% 1.64/1.36 ((cS @ (cSTRANGE_HO_ABBR @ cS)) & (cSTRANGE_HO_ABBR @ cS @ x @ y)) => (cSTRANGE_HO_ABBR @ cS @ y @ x)),
% 1.64/1.36 file('/export/starexec/sandbox2/tmp/tmp.9wb91CugNL/DTF2THF_19166.p',cSTRANGE_HO_EXAMPLE)).
% 1.64/1.36 thf(f52,plain,(
% 1.64/1.36 ($true = (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ y @ x) & (cS @ Y0)) => (Y0 @ x @ y)))))),
% 1.64/1.36 inference(boolean_simplification,[status(thm)],[f51])).
% 1.64/1.36 thf(f51,plain,(
% 1.64/1.36 ($true = ($true => (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ y @ x) & (cS @ Y0)) => (Y0 @ x @ y))))))),
% 1.64/1.36 inference(forward_demodulation,[status(thm)],[f50,f35])).
% 1.64/1.36 thf(f35,plain,(
% 1.64/1.36 ($true = (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ x @ y) & (cS @ Y0)) => (Y0 @ y @ x)))))),
% 1.64/1.36 inference(boolean_simplification,[status(thm)],[f34])).
% 1.64/1.36 thf(f34,plain,(
% 1.64/1.36 ($true = ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ x @ y) & (cS @ Y0)) => (Y0 @ y @ x)))) & $true))),
% 1.64/1.36 inference(backward_demodulation,[status(thm)],[f17,f32])).
% 1.64/1.36 thf(f32,plain,(
% 1.64/1.36 ($true = (cS @ (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ Y0 @ Y1) & (cS @ Y2)) => (Y2 @ Y1 @ Y0)))))))))),
% 1.64/1.36 inference(binary_proxy_clausification,[status(thm)],[f17])).
% 1.64/1.36 thf(f17,plain,(
% 1.64/1.36 ($true = ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ x @ y) & (cS @ Y0)) => (Y0 @ y @ x)))) & (cS @ (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ Y0 @ Y1) & (cS @ Y2)) => (Y2 @ Y1 @ Y0))))))))))),
% 1.64/1.36 inference(binary_proxy_clausification,[status(thm)],[f13])).
% 1.64/1.36 thf(f50,plain,(
% 1.64/1.36 ($true = ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ x @ y) & (cS @ Y0)) => (Y0 @ y @ x)))) => (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ y @ x) & (cS @ Y0)) => (Y0 @ x @ y))))))),
% 1.64/1.36 inference(boolean_simplification,[status(thm)],[f49])).
% 1.64/1.36 thf(f49,plain,(
% 1.64/1.36 ($true = (((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ x @ y) & (cS @ Y0)) => (Y0 @ y @ x)))) & $true) => (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ y @ x) & (cS @ Y0)) => (Y0 @ x @ y))))))),
% 1.64/1.36 inference(beta_eta_normalization,[status(thm)],[f48])).
% 1.64/1.36 thf(f48,plain,(
% 1.64/1.36 ($true = ((((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ Y0 @ Y1) & (cS @ Y2)) => (Y2 @ Y1 @ Y0))))))) @ x @ y) & $true) => ((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ Y0 @ Y1) & (cS @ Y2)) => (Y2 @ Y1 @ Y0))))))) @ y @ x)))),
% 1.64/1.36 inference(superposition,[status(thm)],[f37,f32])).
% 1.64/1.36 thf(f37,plain,(
% 1.64/1.36 ( ! [X1 : $i > $i > $o] : (($true = (((X1 @ x @ y) & (cS @ X1)) => (X1 @ y @ x)))) )),
% 1.64/1.36 inference(beta_eta_normalization,[status(thm)],[f36])).
% 1.64/1.36 thf(f36,plain,(
% 1.64/1.36 ( ! [X1 : $i > $i > $o] : (($true = ((^[Y0 : $i > $i > $o]: (((Y0 @ x @ y) & (cS @ Y0)) => (Y0 @ y @ x))) @ X1))) )),
% 1.64/1.36 inference(pi_clausification,[status(thm)],[f35])).
% 1.64/1.36 % SZS output end Proof for DTF2THF_19166
% 1.64/1.36 % (19340)------------------------------
% 1.64/1.36 % (19340)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.36 % (19340)Termination reason: Refutation
% 1.64/1.36
% 1.64/1.36 % (19340)Memory used [KB]: 5500
% 1.64/1.36 % (19340)Time elapsed: 0.015 s
% 1.64/1.36 % (19340)Instructions burned: 10 (million)
% 1.64/1.36 % (19340)------------------------------
% 1.64/1.36 % (19340)------------------------------
% 1.64/1.36 % (19324)Success in time 0.067 s
%------------------------------------------------------------------------------