%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU918^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : 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 09:37:44 AM UTC 2026
% Result : Theorem 1.60s 1.34s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 73 ( 30 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 92 ( 25 ~; 6 |; 1 &; 56 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 48 ( 17 ^; 31 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_7,type,
sK0:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_8,type,
sK1:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_16,type,
sP2: $o > $o ).
thf(func_def_17,type,
sP3: $i > $o ).
thf(func_def_19,type,
ph5:
!>[X0: $tType] : X0 ).
thf(f73,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f72]) ).
thf(f72,plain,
a != a,
inference(beta_eta_normalization,[status(thm)],[f67]) ).
thf(f67,plain,
( a
!= ( ^ [Y0: $i] : a
@ b ) ),
inference(imitate,[status(thm)],[f65]) ).
thf(f65,plain,
! [X0: $i > $i] :
( a
!= ( X0 @ b ) ),
inference(trivial_inequality_removal,[status(thm)],[f64]) ).
thf(f64,plain,
! [X0: $i > $i] :
( ( a
!= ( X0 @ b ) )
| ( b != b ) ),
inference(beta_eta_normalization,[status(thm)],[f56]) ).
thf(f56,plain,
! [X2: $i,X0: $i > $i] :
( ( b
!= ( ^ [Y0: $i] : b
@ ( X0 @ X2 ) ) )
| ( a
!= ( X0
@ ( ^ [Y0: $i] : b
@ X2 ) ) ) ),
inference(imitate,[status(thm)],[f54]) ).
thf(f54,plain,
! [X2: $i,X0: $i > $i,X1: $i > $i] :
( ( b
!= ( X1 @ ( X0 @ X2 ) ) )
| ( a
!= ( X0 @ ( X1 @ X2 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f53]) ).
thf(f53,plain,
! [X2: $i,X0: $i > $i,X1: $i > $i] :
( ( a
!= ( X0 @ ( X1 @ X2 ) ) )
| ( b
!= ( X1 @ ( X0 @ X2 ) ) )
| ( $true = $false ) ),
inference(constrained_superposition,[status(thm)],[f28,f44]) ).
thf(f44,plain,
! [X2: $i,X0: $i > $i,X1: $i > $i] :
( ( $true
= ( sP3 @ ( X1 @ ( X0 @ X2 ) ) ) )
| ( b
!= ( X0 @ ( X1 @ X2 ) ) ) ),
inference(constrained_superposition,[status(thm)],[f29,f35]) ).
thf(f35,plain,
! [X2: $i,X0: $i > $i,X1: $i > $i] :
( ( X0 @ ( X1 @ X2 ) )
= ( X1 @ ( X0 @ X2 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f30]) ).
thf(f30,plain,
! [X2: $i,X0: $i > $i,X1: $i > $i] :
( ( ^ [Y0: $i] : ( X0 @ ( X1 @ Y0 ) )
@ X2 )
= ( ^ [Y0: $i] : ( X1 @ ( X0 @ Y0 ) )
@ X2 ) ),
inference(argument_congruence,[status(thm)],[f24]) ).
thf(f24,plain,
! [X0: $i > $i,X1: $i > $i] :
( ( ^ [Y0: $i] : ( X1 @ ( X0 @ Y0 ) ) )
= ( ^ [Y0: $i] : ( X0 @ ( X1 @ Y0 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
thf(f23,plain,
( ( a != b )
& ! [X0: $i > $i,X1: $i > $i] :
( ( ^ [Y0: $i] : ( X1 @ ( X0 @ Y0 ) ) )
= ( ^ [Y0: $i] : ( X0 @ ( X1 @ Y0 ) ) ) ) ),
inference(ennf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
~ ( ( a != b )
=> ~ ! [X0: $i > $i,X1: $i > $i] :
( ( ^ [Y0: $i] : ( X1 @ ( X0 @ Y0 ) ) )
= ( ^ [Y0: $i] : ( X0 @ ( X1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ( a != b )
=> ~ ! [X0: $i > $i,X1: $i > $i] :
( ( ^ [X2: $i] : ( X0 @ ( X1 @ X2 ) ) )
= ( ^ [X3: $i] : ( X1 @ ( X0 @ X3 ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( a != b )
=> ~ ! [X0: $i > $i,X1: $i > $i] :
( ( ^ [X2: $i] : ( X0 @ ( X1 @ X2 ) ) )
= ( ^ [X2: $i] : ( X1 @ ( X0 @ X2 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ( a != b )
=> ~ ! [X0: $i > $i,X1: $i > $i] :
( ( ^ [X2: $i] : ( X0 @ ( X1 @ X2 ) ) )
= ( ^ [X2: $i] : ( X1 @ ( X0 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.k26rmgFoOv/DTF2THF_9304.p',cTHM197_pme) ).
thf(f29,plain,
( ( sP3 @ b )
= $true ),
inference(inequality_splitting,[status(thm)],[f25,f28]) ).
thf(f25,plain,
a != b,
inference(cnf_transformation,[status(thm)],[f23]) ).
thf(f28,plain,
( ( sP3 @ a )
= $false ),
introduced(definition,[new_symbols(naming,[sP3])],[inequality_splitting_name_introduction]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU918^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.33 % Computer : n017.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue Feb 24 12:35:26 EST 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.20/0.45 ---- Original DTF file ---
% 0.20/0.45 thf(spec,logic,$$dhol).
% 0.20/0.45 %------------------------------------------------------------------------------
% 0.20/0.45 % File : SEU918^5 : TPTP v9.2.1. Released v4.0.0.
% 0.20/0.45 % Domain : Set Theory (Functions)
% 0.20/0.45 % Problem : TPS problem THM197
% 0.20/0.45 % Version : Especial.
% 0.20/0.45 % English : If there are at least two individuals, then WHAT?
% 0.20/0.45
% 0.20/0.45 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.45 % Source : [Bro09]
% 0.20/0.45 % Names : tps_0110 [Bro09]
% 0.20/0.45 % : THM197 [TPS]
% 0.20/0.45
% 0.20/0.45 % Status : Theorem
% 0.20/0.45 % Rating : 0.22 v9.1.0, 0.25 v9.0.0, 0.30 v8.2.0, 0.54 v8.1.0, 0.36 v7.5.0, 0.14 v7.4.0, 0.22 v7.2.0, 0.12 v7.1.0, 0.25 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.29 v6.1.0, 0.14 v5.5.0, 0.33 v5.4.0, 0.60 v5.3.0, 0.80 v5.2.0, 0.60 v5.1.0, 0.40 v4.1.0, 0.33 v4.0.1, 0.67 v4.0.0
% 0.20/0.45 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.20/0.45 % Number of atoms : 2 ( 2 equ; 0 cnn)
% 0.20/0.45 % Maximal formula atoms : 2 ( 2 avg)
% 0.20/0.45 % Number of connectives : 7 ( 2 ~; 0 |; 0 &; 4 @)
% 0.20/0.45 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.20/0.45 % Maximal formula depth : 5 ( 5 avg)
% 0.20/0.45 % Number of types : 1 ( 0 usr)
% 0.20/0.45 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.20/0.45 % Number of symbols : 3 ( 2 usr; 2 con; 0-2 aty)
% 0.20/0.45 % Number of variables : 4 ( 2 ^; 2 !; 0 ?; 4 :)
% 0.20/0.45 % SPC : TH0_THM_EQU_NAR
% 0.20/0.45
% 0.20/0.45 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.45 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.45 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.45 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.45 % : Polymorphic definitions expanded.
% 0.20/0.45 %------------------------------------------------------------------------------
% 0.20/0.45 thf(b,type,
% 0.20/0.45 b: $i ).
% 0.20/0.45
% 0.20/0.45 thf(a,type,
% 0.20/0.45 a: $i ).
% 0.20/0.45
% 0.20/0.45 thf(cTHM197_pme,conjecture,
% 0.20/0.45 ( ( a != b )
% 0.20/0.45 => ~ ! [Xf: $i > $i,Xg: $i > $i] :
% 0.20/0.45 ( ( ^ [Xx: $i] : ( Xf @ ( Xg @ Xx ) ) )
% 0.20/0.45 = ( ^ [Xx: $i] : ( Xg @ ( Xf @ Xx ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 %------------------------------------------------------------------------------
% 0.20/0.45 ------------------------
% 1.51/1.23 ---- Embedded in THF ---
% 1.51/1.23 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.51/1.23 %%% Generated on Tue Feb 24 12:35:27 EST 2026
% 1.51/1.23 %%% using '$$dhol' embedding, version 1.3.0.
% 1.51/1.23 %%% Logic specification used:
% 1.51/1.23 %%% thf(spec, logic, $$dhol).
% 1.51/1.23
% 1.51/1.23 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.k26rmgFoOv/DTF2DTF9304.p
% See solution above
% 1.51/1.23 ------------------------
% 1.51/1.24 ---- Cleaned THF ---
% 1.51/1.24 thf(b,type,
% 1.51/1.24 b: $i ).
% 1.51/1.24
% 1.51/1.24 thf(a,type,
% 1.51/1.24 a: $i ).
% 1.51/1.24
% 1.51/1.24 thf(cTHM197_pme,conjecture,
% 1.51/1.24 ( ( a != b )
% 1.51/1.24 => ~ ! [Xf: $i > $i,Xg: $i > $i] :
% 1.51/1.24 ( ( ^ [Xx: $i] : ( Xf @ ( Xg @ Xx ) ) )
% 1.51/1.24 = ( ^ [Xx: $i] : ( Xg @ ( Xf @ Xx ) ) ) ) ) ).
% 1.51/1.24 ------------------------
% 1.51/1.25 % (9479)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_9304 for (3000ds/275Mi)
% 1.51/1.25 % (9474)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_9304 for (3000ds/183Mi)
% 1.51/1.25 % (9476)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_9304 for (3000ds/27Mi)
% 1.51/1.25 % (9480)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_9304 for (3000ds/18Mi)
% 1.51/1.26 % (9480)Instruction limit reached!
% 1.51/1.26 % (9480)------------------------------
% 1.51/1.26 % (9480)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.26 % (9480)Termination reason: Unknown
% 1.51/1.26 % (9480)Termination phase: Saturation
% 1.51/1.26
% 1.51/1.26 % (9480)Memory used [KB]: 5500
% 1.51/1.26 % (9480)Time elapsed: 0.008 s
% 1.51/1.26 % (9480)Instructions burned: 20 (million)
% 1.51/1.26 % (9480)------------------------------
% 1.51/1.26 % (9480)------------------------------
% 1.51/1.26 % (9475)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_9304 for (3000ds/4Mi)
% 1.51/1.26 % (9477)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_9304 for (3000ds/2Mi)
% 1.51/1.26 % (9478)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_9304 for (3000ds/2Mi)
% 1.51/1.26 % (9476)Instruction limit reached!
% 1.51/1.26 % (9476)------------------------------
% 1.51/1.26 % (9476)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.26 % (9476)Termination reason: Unknown
% 1.51/1.26 % (9476)Termination phase: Saturation
% 1.51/1.26
% 1.51/1.26 % (9476)Memory used [KB]: 5500
% 1.51/1.26 % (9476)Time elapsed: 0.010 s
% 1.51/1.26 % (9476)Instructions burned: 27 (million)
% 1.51/1.26 % (9476)------------------------------
% 1.51/1.26 % (9476)------------------------------
% 1.51/1.26 % (9477)Instruction limit reached!
% 1.51/1.26 % (9477)------------------------------
% 1.51/1.26 % (9477)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.26 % (9477)Termination reason: Unknown
% 1.51/1.26 % (9477)Termination phase: Saturation
% 1.51/1.26
% 1.51/1.26 % (9477)Memory used [KB]: 5500
% 1.51/1.26 % (9477)Time elapsed: 0.004 s
% 1.51/1.26 % (9477)Instructions burned: 2 (million)
% 1.51/1.26 % (9477)------------------------------
% 1.51/1.26 % (9477)------------------------------
% 1.51/1.26 % (9478)Instruction limit reached!
% 1.51/1.26 % (9478)------------------------------
% 1.51/1.26 % (9478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.26 % (9478)Termination reason: Unknown
% 1.51/1.26 % (9478)Termination phase: Saturation
% 1.51/1.26
% 1.51/1.26 % (9478)Memory used [KB]: 5500
% 1.51/1.26 % (9478)Time elapsed: 0.004 s
% 1.51/1.26 % (9478)Instructions burned: 2 (million)
% 1.51/1.26 % (9478)------------------------------
% 1.51/1.26 % (9478)------------------------------
% 1.51/1.26 % (9475)Instruction limit reached!
% 1.51/1.26 % (9475)------------------------------
% 1.51/1.26 % (9475)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.26 % (9475)Termination reason: Unknown
% 1.51/1.26 % (9475)Termination phase: Saturation
% 1.51/1.26
% 1.51/1.26 % (9475)Memory used [KB]: 5500
% 1.51/1.26 % (9475)Time elapsed: 0.005 s
% 1.51/1.26 % (9475)Instructions burned: 4 (million)
% 1.51/1.26 % (9475)------------------------------
% 1.51/1.26 % (9475)------------------------------
% 1.51/1.27 % (9481)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_9304 for (2999ds/3Mi)
% 1.51/1.27 % (9481)Instruction limit reached!
% 1.51/1.27 % (9481)------------------------------
% 1.51/1.27 % (9481)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.27 % (9481)Termination reason: Unknown
% 1.51/1.27 % (9481)Termination phase: Saturation
% 1.51/1.27
% 1.51/1.27 % (9481)Memory used [KB]: 5500
% 1.51/1.27 % (9481)Time elapsed: 0.003 s
% 1.51/1.27 % (9481)Instructions burned: 3 (million)
% 1.51/1.27 % (9481)------------------------------
% 1.51/1.27 % (9481)------------------------------
% 1.51/1.27 % (9482)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_9304 for (2999ds/37Mi)
% 1.51/1.28 % (9483)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_9304 for (2999ds/15Mi)
% 1.51/1.28 % (9484)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_9304 for (2999ds/3Mi)
% 1.51/1.28 % (9485)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_9304 for (2999ds/1041Mi)
% 1.51/1.28 % (9484)Instruction limit reached!
% 1.51/1.28 % (9484)------------------------------
% 1.51/1.28 % (9484)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.28 % (9484)Termination reason: Unknown
% 1.51/1.28 % (9484)Termination phase: Saturation
% 1.51/1.28
% 1.51/1.28 % (9484)Memory used [KB]: 5500
% 1.51/1.28 % (9484)Time elapsed: 0.004 s
% 1.51/1.28 % (9484)Instructions burned: 3 (million)
% 1.51/1.28 % (9484)------------------------------
% 1.51/1.28 % (9484)------------------------------
% 1.51/1.28 % (9486)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_9304 for (2999ds/7Mi)
% 1.51/1.29 % (9486)Instruction limit reached!
% 1.51/1.29 % (9486)------------------------------
% 1.51/1.29 % (9486)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.29 % (9486)Termination reason: Unknown
% 1.51/1.29 % (9486)Termination phase: Saturation
% 1.51/1.29
% 1.51/1.29 % (9486)Memory used [KB]: 1023
% 1.51/1.29 % (9486)Time elapsed: 0.005 s
% 1.51/1.29 % (9486)Instructions burned: 9 (million)
% 1.51/1.29 % (9486)------------------------------
% 1.51/1.29 % (9486)------------------------------
% 1.51/1.29 % (9482)Instruction limit reached!
% 1.51/1.29 % (9482)------------------------------
% 1.51/1.29 % (9482)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.29 % (9482)Termination reason: Unknown
% 1.51/1.29 % (9482)Termination phase: Saturation
% 1.51/1.29
% 1.51/1.29 % (9482)Memory used [KB]: 5628
% 1.51/1.29 % (9482)Time elapsed: 0.015 s
% 1.51/1.29 % (9482)Instructions burned: 39 (million)
% 1.51/1.29 % (9482)------------------------------
% 1.51/1.29 % (9482)------------------------------
% 1.51/1.29 % (9483)Instruction limit reached!
% 1.51/1.29 % (9483)------------------------------
% 1.51/1.29 % (9483)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.29 % (9483)Termination reason: Unknown
% 1.51/1.29 % (9483)Termination phase: Saturation
% 1.51/1.29
% 1.51/1.29 % (9483)Memory used [KB]: 5500
% 1.51/1.29 % (9483)Time elapsed: 0.011 s
% 1.51/1.29 % (9483)Instructions burned: 15 (million)
% 1.51/1.29 % (9483)------------------------------
% 1.51/1.29 % (9483)------------------------------
% 1.60/1.30 % (9489)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_9304 for (2999ds/3Mi)
% 1.60/1.30 % (9488)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_9304 for (2999ds/3Mi)
% 1.60/1.30 % (9489)Instruction limit reached!
% 1.60/1.30 % (9489)------------------------------
% 1.60/1.30 % (9489)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.30 % (9489)Termination reason: Unknown
% 1.60/1.30 % (9489)Termination phase: Saturation
% 1.60/1.30
% 1.60/1.30 % (9489)Memory used [KB]: 5500
% 1.60/1.30 % (9489)Time elapsed: 0.003 s
% 1.60/1.30 % (9489)Instructions burned: 3 (million)
% 1.60/1.30 % (9489)------------------------------
% 1.60/1.30 % (9489)------------------------------
% 1.60/1.30 % (9488)Instruction limit reached!
% 1.60/1.30 % (9488)------------------------------
% 1.60/1.30 % (9488)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.30 % (9488)Termination reason: Unknown
% 1.60/1.30 % (9488)Termination phase: Saturation
% 1.60/1.30
% 1.60/1.30 % (9488)Memory used [KB]: 5500
% 1.60/1.30 % (9488)Time elapsed: 0.003 s
% 1.60/1.30 % (9488)Instructions burned: 3 (million)
% 1.60/1.30 % (9488)------------------------------
% 1.60/1.30 % (9488)------------------------------
% 1.60/1.30 % (9487)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_9304 for (2999ds/16Mi)
% 1.60/1.31 % (9490)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_9304 for (2999ds/7Mi)
% 1.60/1.31 % (9491)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_9304 for (2999ds/3Mi)
% 1.60/1.31 % (9490)Refutation not found, incomplete strategy
% 1.60/1.31 % (9490)------------------------------
% 1.60/1.31 % (9490)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.31 % (9490)Termination reason: Refutation not found, incomplete strategy
% 1.60/1.31
% 1.60/1.31
% 1.60/1.31 % (9490)Memory used [KB]: 5373
% 1.60/1.31 % (9490)Time elapsed: 0.003 s
% 1.60/1.31 % (9490)Instructions burned: 1 (million)
% 1.60/1.31 % (9490)------------------------------
% 1.60/1.31 % (9490)------------------------------
% 1.60/1.31 % (9491)Instruction limit reached!
% 1.60/1.31 % (9491)------------------------------
% 1.60/1.31 % (9491)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.31 % (9491)Termination reason: Unknown
% 1.60/1.31 % (9491)Termination phase: Saturation
% 1.60/1.31
% 1.60/1.31 % (9491)Memory used [KB]: 5500
% 1.60/1.31 % (9491)Time elapsed: 0.003 s
% 1.60/1.31 % (9491)Instructions burned: 3 (million)
% 1.60/1.31 % (9491)------------------------------
% 1.60/1.31 % (9491)------------------------------
% 1.60/1.31 % (9492)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_9304 for (2999ds/4Mi)
% 1.60/1.31 % (9487)Instruction limit reached!
% 1.60/1.31 % (9487)------------------------------
% 1.60/1.31 % (9487)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.31 % (9487)Termination reason: Unknown
% 1.60/1.31 % (9487)Termination phase: Saturation
% 1.60/1.31
% 1.60/1.31 % (9487)Memory used [KB]: 5500
% 1.60/1.31 % (9487)Time elapsed: 0.012 s
% 1.60/1.31 % (9487)Instructions burned: 16 (million)
% 1.60/1.31 % (9487)------------------------------
% 1.60/1.31 % (9487)------------------------------
% 1.60/1.31 % (9492)Instruction limit reached!
% 1.60/1.31 % (9492)------------------------------
% 1.60/1.31 % (9492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.31 % (9492)Termination reason: Unknown
% 1.60/1.31 % (9492)Termination phase: Saturation
% 1.60/1.31
% 1.60/1.31 % (9492)Memory used [KB]: 5500
% 1.60/1.31 % (9492)Time elapsed: 0.005 s
% 1.60/1.31 % (9492)Instructions burned: 5 (million)
% 1.60/1.31 % (9492)------------------------------
% 1.60/1.31 % (9492)------------------------------
% 1.60/1.32 % (9493)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_9304 for (2999ds/18Mi)
% 1.60/1.33 % (9493)Instruction limit reached!
% 1.60/1.33 % (9493)------------------------------
% 1.60/1.33 % (9493)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.33 % (9493)Termination reason: Unknown
% 1.60/1.33 % (9493)Termination phase: Saturation
% 1.60/1.33
% 1.60/1.33 % (9493)Memory used [KB]: 5500
% 1.60/1.33 % (9493)Time elapsed: 0.008 s
% 1.60/1.33 % (9493)Instructions burned: 19 (million)
% 1.60/1.33 % (9493)------------------------------
% 1.60/1.33 % (9493)------------------------------
% 1.60/1.33 % (9494)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_9304 for (2999ds/710Mi)
% 1.60/1.33 % (9496)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_9304 for (2999ds/902Mi)
% 1.60/1.33 % (9479)Instruction limit reached!
% 1.60/1.33 % (9479)------------------------------
% 1.60/1.33 % (9479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.33 % (9479)Termination reason: Unknown
% 1.60/1.33 % (9479)Termination phase: Saturation
% 1.60/1.33
% 1.60/1.33 % (9479)Memory used [KB]: 6140
% 1.60/1.33 % (9479)Time elapsed: 0.080 s
% 1.60/1.33 % (9479)Instructions burned: 276 (million)
% 1.60/1.33 % (9479)------------------------------
% 1.60/1.33 % (9479)------------------------------
% 1.60/1.34 % (9474)Instruction limit reached!
% 1.60/1.34 % (9474)------------------------------
% 1.60/1.34 % (9474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.34 % (9474)Termination reason: Unknown
% 1.60/1.34 % (9474)Termination phase: Saturation
% 1.60/1.34
% 1.60/1.34 % (9474)Memory used [KB]: 5884
% 1.60/1.34 % (9474)Time elapsed: 0.082 s
% 1.60/1.34 % (9474)Instructions burned: 183 (million)
% 1.60/1.34 % (9474)------------------------------
% 1.60/1.34 % (9474)------------------------------
% 1.60/1.34 % (9497)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_9304 for (2999ds/21Mi)
% 1.60/1.34 % (9497)First to succeed.
% 1.60/1.34 % (9497)Refutation found. Thanks to Tanya!
% 1.60/1.34 % SZS status Theorem for DTF2THF_9304
% 1.60/1.34 % SZS output start Proof for DTF2THF_9304
% 1.60/1.34 thf(func_def_7, type, sK0: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.60/1.34 thf(func_def_8, type, sK1: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.60/1.34 thf(func_def_16, type, sP2: $o > $o).
% 1.60/1.34 thf(func_def_17, type, sP3: $i > $o).
% 1.60/1.34 thf(func_def_19, type, ph5: !>[X0: $tType]:(X0)).
% 1.60/1.34 thf(f73,plain,(
% 1.60/1.34 $false),
% 1.60/1.34 inference(trivial_inequality_removal,[status(thm)],[f72])).
% 1.60/1.34 thf(f72,plain,(
% 1.60/1.34 (a != a)),
% 1.60/1.34 inference(beta_eta_normalization,[status(thm)],[f67])).
% 1.60/1.34 thf(f67,plain,(
% 1.60/1.34 (a != ((^[Y0 : $i]: (a)) @ b))),
% 1.60/1.34 inference(imitate,[status(thm)],[f65])).
% 1.60/1.34 thf(f65,plain,(
% 1.60/1.34 ( ! [X0 : $i > $i] : ((a != (X0 @ b))) )),
% 1.60/1.34 inference(trivial_inequality_removal,[status(thm)],[f64])).
% 1.60/1.34 thf(f64,plain,(
% 1.60/1.34 ( ! [X0 : $i > $i] : ((a != (X0 @ b)) | (b != b)) )),
% 1.60/1.34 inference(beta_eta_normalization,[status(thm)],[f56])).
% 1.60/1.34 thf(f56,plain,(
% 1.60/1.34 ( ! [X2 : $i,X0 : $i > $i] : ((b != ((^[Y0 : $i]: (b)) @ (X0 @ X2))) | (a != (X0 @ ((^[Y0 : $i]: (b)) @ X2)))) )),
% 1.60/1.34 inference(imitate,[status(thm)],[f54])).
% 1.60/1.34 thf(f54,plain,(
% 1.60/1.34 ( ! [X2 : $i,X0 : $i > $i,X1 : $i > $i] : ((b != (X1 @ (X0 @ X2))) | (a != (X0 @ (X1 @ X2)))) )),
% 1.60/1.34 inference(trivial_inequality_removal,[status(thm)],[f53])).
% 1.60/1.34 thf(f53,plain,(
% 1.60/1.34 ( ! [X2 : $i,X0 : $i > $i,X1 : $i > $i] : ((a != (X0 @ (X1 @ X2))) | (b != (X1 @ (X0 @ X2))) | ($true = $false)) )),
% 1.60/1.34 inference(constrained_superposition,[status(thm)],[f28,f44])).
% 1.60/1.34 thf(f44,plain,(
% 1.60/1.34 ( ! [X2 : $i,X0 : $i > $i,X1 : $i > $i] : (($true = (sP3 @ (X1 @ (X0 @ X2)))) | (b != (X0 @ (X1 @ X2)))) )),
% 1.60/1.34 inference(constrained_superposition,[status(thm)],[f29,f35])).
% 1.60/1.34 thf(f35,plain,(
% 1.60/1.34 ( ! [X2 : $i,X0 : $i > $i,X1 : $i > $i] : (((X0 @ (X1 @ X2)) = (X1 @ (X0 @ X2)))) )),
% 1.60/1.34 inference(beta_eta_normalization,[status(thm)],[f30])).
% 1.60/1.34 thf(f30,plain,(
% 1.60/1.34 ( ! [X2 : $i,X0 : $i > $i,X1 : $i > $i] : ((((^[Y0 : $i]: (X0 @ (X1 @ Y0))) @ X2) = ((^[Y0 : $i]: (X1 @ (X0 @ Y0))) @ X2))) )),
% 1.60/1.34 inference(argument_congruence,[status(thm)],[f24])).
% 1.60/1.34 thf(f24,plain,(
% 1.60/1.34 ( ! [X0 : $i > $i,X1 : $i > $i] : (((^[Y0 : $i]: (X1 @ (X0 @ Y0))) = (^[Y0 : $i]: (X0 @ (X1 @ Y0))))) )),
% 1.60/1.34 inference(cnf_transformation,[status(thm)],[f23])).
% 1.60/1.34 thf(f23,plain,(
% 1.60/1.34 (a != b) & ! [X0 : $i > $i,X1 : $i > $i] : ((^[Y0 : $i]: (X1 @ (X0 @ Y0))) = (^[Y0 : $i]: (X0 @ (X1 @ Y0))))),
% 1.60/1.34 inference(ennf_transformation,[status(thm)],[f5])).
% 1.60/1.34 thf(f5,plain,(
% 1.60/1.34 ~((a != b) => ~! [X0 : $i > $i,X1 : $i > $i] : ((^[Y0 : $i]: (X1 @ (X0 @ Y0))) = (^[Y0 : $i]: (X0 @ (X1 @ Y0)))))),
% 1.60/1.34 inference(fool_elimination,[status(thm)],[f4])).
% 1.60/1.34 thf(f4,plain,(
% 1.60/1.34 ~((a != b) => ~! [X0 : $i > $i,X1 : $i > $i] : ((^[X2 : $i] : (X0 @ (X1 @ X2))) = (^[X3 : $i] : (X1 @ (X0 @ X3)))))),
% 1.60/1.34 inference(rectify,[status(thm)],[f2])).
% 1.60/1.34 thf(f2,negated_conjecture,(
% 1.60/1.34 ~((a != b) => ~! [X0 : $i > $i,X1 : $i > $i] : ((^[X2 : $i] : (X0 @ (X1 @ X2))) = (^[X2 : $i] : (X1 @ (X0 @ X2)))))),
% 1.60/1.34 inference(negated_conjecture,[status(cth)],[f1])).
% 1.60/1.34 thf(f1,conjecture,(
% 1.60/1.34 (a != b) => ~! [X0 : $i > $i,X1 : $i > $i] : ((^[X2 : $i] : (X0 @ (X1 @ X2))) = (^[X2 : $i] : (X1 @ (X0 @ X2))))),
% 1.60/1.34 file('/export/starexec/sandbox2/tmp/tmp.k26rmgFoOv/DTF2THF_9304.p',cTHM197_pme)).
% 1.60/1.34 thf(f29,plain,(
% 1.60/1.34 ((sP3 @ b) = $true)),
% 1.60/1.34 inference(inequality_splitting,[status(thm)],[f25,f28])).
% 1.60/1.34 thf(f25,plain,(
% 1.60/1.34 (a != b)),
% 1.60/1.34 inference(cnf_transformation,[status(thm)],[f23])).
% 1.60/1.34 thf(f28,plain,(
% 1.60/1.34 ((sP3 @ a) = $false)),
% 1.60/1.34 introduced(definition,[new_symbols(naming,[sP3])],[inequality_splitting_name_introduction])).
% 1.60/1.34 % SZS output end Proof for DTF2THF_9304
% 1.60/1.34 % (9497)------------------------------
% 1.60/1.34 % (9497)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.34 % (9497)Termination reason: Refutation
% 1.60/1.34
% 1.60/1.34 % (9497)Memory used [KB]: 5500
% 1.60/1.34 % (9497)Time elapsed: 0.005 s
% 1.60/1.34 % (9497)Instructions burned: 6 (million)
% 1.60/1.34 % (9497)------------------------------
% 1.60/1.34 % (9497)------------------------------
% 1.60/1.34 % (9473)Success in time 0.086 s
%------------------------------------------------------------------------------