%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU917^5 : 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 09:37:44 AM UTC 2026
% Result : Theorem 1.55s 1.32s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 27 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 77 ( 18 ~; 5 |; 4 &; 46 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 36 ( 11 ^; 18 !; 7 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_3,type,
sK0:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_4,type,
sK1:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_12,type,
sK2: ( $i > $i ) > $i ).
thf(func_def_13,type,
sK3: ( $i > $i ) > $i ).
thf(func_def_14,type,
sP4: $o > $o ).
thf(func_def_16,type,
ph6:
!>[X0: $tType] : X0 ).
thf(f46,plain,
$false,
inference(equality_resolution,[status(thm)],[f45]) ).
thf(f45,plain,
! [X0: $i > $i] :
( ( ^ [Y0: $i] : Y0 )
!= X0 ),
inference(duplicate_literal_removal,[status(thm)],[f44]) ).
thf(f44,plain,
! [X0: $i > $i] :
( ( ( ^ [Y0: $i] : Y0 )
!= X0 )
| ( ( ^ [Y0: $i] : Y0 )
!= X0 ) ),
inference(equality_resolution,[status(thm)],[f41]) ).
thf(f41,plain,
! [X0: $i > $i] :
( ( ( sK2
@ ^ [Y0: $i] : Y0 )
!= ( sK2 @ X0 ) )
| ( ( ^ [Y0: $i] : Y0 )
!= X0 ) ),
inference(equality_resolution,[status(thm)],[f38]) ).
thf(f38,plain,
! [X1: $i > $i] :
( ( ( sK3 @ X1 )
!= ( sK3
@ ^ [Y0: $i] : Y0 ) )
| ( ( sK2
@ ^ [Y0: $i] : Y0 )
!= ( sK2 @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f33]) ).
thf(f33,plain,
! [X1: $i > $i] :
( ( ( ^ [Y0: $i] : Y0
@ ( sK3
@ ^ [Y0: $i] : Y0 ) )
!= ( sK3 @ X1 ) )
| ( ( sK2 @ X1 )
!= ( ^ [Y0: $i] : Y0
@ ( sK2
@ ^ [Y0: $i] : Y0 ) ) ) ),
inference(project,[status(thm)],[f31]) ).
thf(f31,plain,
! [X0: $i > $i,X1: $i > $i] :
( ( ( sK3 @ X1 )
!= ( X0 @ ( sK3 @ X0 ) ) )
| ( ( sK2 @ X1 )
!= ( X0 @ ( sK2 @ X0 ) ) ) ),
inference(constrained_superposition,[status(thm)],[f26,f25]) ).
thf(f25,plain,
! [X0: $i > $i] :
( ( X0 @ ( sK3 @ X0 ) )
= ( X0 @ ( sK2 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f24,plain,
! [X0: $i > $i] :
( ( ( sK3 @ X0 )
!= ( sK2 @ X0 ) )
& ( ( X0 @ ( sK3 @ X0 ) )
= ( X0 @ ( sK2 @ X0 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f22,f23]) ).
thf(f23,plain,
! [X0: $i > $i] :
( ? [X1: $i,X2: $i] :
( ( X1 != X2 )
& ( ( X0 @ X1 )
= ( X0 @ X2 ) ) )
=> ( ( ( sK3 @ X0 )
!= ( sK2 @ X0 ) )
& ( ( X0 @ ( sK3 @ X0 ) )
= ( X0 @ ( sK2 @ X0 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f22,plain,
! [X0: $i > $i] :
? [X1: $i,X2: $i] :
( ( X1 != X2 )
& ( ( X0 @ X1 )
= ( X0 @ X2 ) ) ),
inference(ennf_transformation,[status(thm)],[f4]) ).
thf(f4,plain,
~ ? [X0: $i > $i] :
! [X1: $i,X2: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ),
inference(fool_elimination,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X0: $i > $i] :
! [X1: $i,X2: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
? [X0: $i > $i] :
! [X1: $i,X2: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.na5hJGyk8J/DTF2THF_9250.p',cTHM8_pme) ).
thf(f26,plain,
! [X0: $i > $i] :
( ( sK3 @ X0 )
!= ( sK2 @ X0 ) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU917^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.33 % Computer : n017.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue Feb 24 12:35:26 EST 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.33 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.45 ---- Original DTF file ---
% 0.18/0.45 thf(spec,logic,$$dhol).
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 % File : SEU917^5 : TPTP v9.2.1. Released v4.0.0.
% 0.18/0.45 % Domain : Set Theory (Functions)
% 0.18/0.45 % Problem : TPS problem THM8
% 0.18/0.45 % Version : Especial.
% 0.18/0.45 % English :
% 0.18/0.45
% 0.18/0.45 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.18/0.45 % Source : [Bro09]
% 0.18/0.45 % Names : tps_0084 [Bro09]
% 0.18/0.45 % : THM8 [TPS]
% 0.18/0.45
% 0.18/0.45 % Status : Theorem
% 0.18/0.45 % Rating : 0.11 v9.1.0, 0.12 v9.0.0, 0.20 v8.2.0, 0.46 v8.1.0, 0.45 v7.5.0, 0.14 v7.4.0, 0.11 v7.3.0, 0.22 v7.2.0, 0.25 v7.1.0, 0.00 v6.2.0, 0.29 v6.1.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v5.2.0, 0.20 v4.1.0, 0.00 v4.0.0
% 0.18/0.45 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.18/0.45 % Number of atoms : 2 ( 2 equ; 0 cnn)
% 0.18/0.45 % Maximal formula atoms : 2 ( 2 avg)
% 0.18/0.45 % Number of connectives : 3 ( 0 ~; 0 |; 0 &; 2 @)
% 0.18/0.45 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.18/0.45 % Maximal formula depth : 5 ( 5 avg)
% 0.18/0.45 % Number of types : 1 ( 0 usr)
% 0.18/0.45 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.18/0.45 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.18/0.45 % Number of variables : 3 ( 0 ^; 2 !; 1 ?; 3 :)
% 0.18/0.45 % SPC : TH0_THM_EQU_NAR
% 0.18/0.45
% 0.18/0.45 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.18/0.45 % project in the Department of Mathematical Sciences at Carnegie
% 0.18/0.45 % Mellon University. Distributed under the Creative Commons copyleft
% 0.18/0.45 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.18/0.45 % : Polymorphic definitions expanded.
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 thf(cTHM8_pme,conjecture,
% 0.18/0.45 ? [F: $i > $i] :
% 0.18/0.45 ! [Xx: $i,Xy: $i] :
% 0.18/0.45 ( ( ( F @ Xx )
% 0.18/0.45 = ( F @ Xy ) )
% 0.18/0.45 => ( Xx = Xy ) ) ).
% 0.18/0.45
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 ------------------------
% 1.49/1.23 ---- Embedded in THF ---
% 1.49/1.23 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.49/1.23 %%% Generated on Tue Feb 24 12:35:26 EST 2026
% 1.49/1.23 %%% using '$$dhol' embedding, version 1.3.0.
% 1.49/1.23 %%% Logic specification used:
% 1.49/1.23 %%% thf(spec, logic, $$dhol).
% 1.49/1.23
% 1.49/1.23 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.na5hJGyk8J/DTF2DTF9250.p
% See solution above
% 1.49/1.23 ------------------------
% 1.49/1.24 ---- Cleaned THF ---
% 1.49/1.24 thf(cTHM8_pme,conjecture,
% 1.49/1.24 ? [F: $i > $i] :
% 1.49/1.24 ! [Xx: $i,Xy: $i] :
% 1.49/1.24 ( ( ( F @ Xx )
% 1.49/1.24 = ( F @ Xy ) )
% 1.49/1.24 => ( Xx = Xy ) ) ).
% 1.49/1.24 ------------------------
% 1.49/1.25 % (9438)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_9250 for (3000ds/183Mi)
% 1.49/1.25 % (9442)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_9250 for (3000ds/2Mi)
% 1.49/1.25 % (9442)Instruction limit reached!
% 1.49/1.25 % (9442)------------------------------
% 1.49/1.25 % (9442)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.25 % (9442)Termination reason: Unknown
% 1.49/1.25 % (9442)Termination phase: Saturation
% 1.49/1.25
% 1.49/1.25 % (9442)Memory used [KB]: 5500
% 1.49/1.25 % (9442)Time elapsed: 0.002 s
% 1.49/1.25 % (9442)Instructions burned: 3 (million)
% 1.49/1.25 % (9442)------------------------------
% 1.49/1.25 % (9442)------------------------------
% 1.49/1.26 % (9439)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_9250 for (3000ds/4Mi)
% 1.49/1.26 % (9440)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_9250 for (3000ds/27Mi)
% 1.49/1.26 % (9443)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_9250 for (3000ds/275Mi)
% 1.49/1.26 % (9440)Refutation not found, incomplete strategy
% 1.49/1.26 % (9440)------------------------------
% 1.49/1.26 % (9440)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.26 % (9440)Termination reason: Refutation not found, incomplete strategy
% 1.49/1.26
% 1.49/1.26
% 1.49/1.26 % (9440)Memory used [KB]: 5500
% 1.49/1.26 % (9440)Time elapsed: 0.003 s
% 1.49/1.26 % (9440)Instructions burned: 1 (million)
% 1.49/1.26 % (9440)------------------------------
% 1.49/1.26 % (9440)------------------------------
% 1.49/1.26 % (9443)Refutation not found, incomplete strategy
% 1.49/1.26 % (9443)------------------------------
% 1.49/1.26 % (9443)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.26 % (9443)Termination reason: Refutation not found, incomplete strategy
% 1.49/1.26
% 1.49/1.26
% 1.49/1.26 % (9443)Memory used [KB]: 5500
% 1.49/1.26 % (9443)Time elapsed: 0.003 s
% 1.49/1.26 % (9443)Instructions burned: 1 (million)
% 1.49/1.26 % (9443)------------------------------
% 1.49/1.26 % (9443)------------------------------
% 1.49/1.26 % (9445)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_9250 for (2999ds/3Mi)
% 1.49/1.26 % (9439)Instruction limit reached!
% 1.49/1.26 % (9439)------------------------------
% 1.49/1.26 % (9439)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.26 % (9439)Termination reason: Unknown
% 1.49/1.26 % (9439)Termination phase: Saturation
% 1.49/1.26
% 1.49/1.26 % (9439)Memory used [KB]: 5500
% 1.49/1.26 % (9439)Time elapsed: 0.005 s
% 1.49/1.26 % (9439)Instructions burned: 4 (million)
% 1.49/1.26 % (9439)------------------------------
% 1.49/1.26 % (9439)------------------------------
% 1.49/1.26 % (9445)Instruction limit reached!
% 1.49/1.26 % (9445)------------------------------
% 1.49/1.26 % (9445)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.26 % (9445)Termination reason: Unknown
% 1.49/1.26 % (9445)Termination phase: Saturation
% 1.49/1.26
% 1.49/1.26 % (9445)Memory used [KB]: 5500
% 1.49/1.26 % (9445)Time elapsed: 0.002 s
% 1.49/1.26 % (9445)Instructions burned: 3 (million)
% 1.49/1.26 % (9445)------------------------------
% 1.49/1.26 % (9445)------------------------------
% 1.49/1.27 % (9441)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_9250 for (3000ds/2Mi)
% 1.49/1.27 % (9441)Refutation not found, incomplete strategy
% 1.49/1.27 % (9441)------------------------------
% 1.49/1.27 % (9441)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.27 % (9441)Termination reason: Refutation not found, incomplete strategy
% 1.49/1.27
% 1.49/1.27
% 1.49/1.27 % (9441)Memory used [KB]: 5500
% 1.49/1.27 % (9441)Time elapsed: 0.004 s
% 1.49/1.27 % (9441)Instructions burned: 1 (million)
% 1.49/1.27 % (9441)------------------------------
% 1.49/1.27 % (9441)------------------------------
% 1.49/1.27 % (9444)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_9250 for (3000ds/18Mi)
% 1.49/1.27 % (9449)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_9250 for (2999ds/1041Mi)
% 1.49/1.28 % (9449)Refutation not found, incomplete strategy
% 1.49/1.28 % (9449)------------------------------
% 1.49/1.28 % (9449)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.28 % (9449)Termination reason: Refutation not found, incomplete strategy
% 1.49/1.28
% 1.49/1.28
% 1.49/1.28 % (9449)Memory used [KB]: 5500
% 1.49/1.28 % (9449)Time elapsed: 0.003 s
% 1.49/1.28 % (9449)Instructions burned: 5 (million)
% 1.49/1.28 % (9449)------------------------------
% 1.49/1.28 % (9449)------------------------------
% 1.49/1.28 % (9447)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_9250 for (2999ds/15Mi)
% 1.49/1.28 % (9446)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_9250 for (2999ds/37Mi)
% 1.49/1.28 % (9447)Refutation not found, incomplete strategy
% 1.49/1.28 % (9447)------------------------------
% 1.49/1.28 % (9447)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.28 % (9447)Termination reason: Refutation not found, incomplete strategy
% 1.49/1.28
% 1.49/1.28
% 1.49/1.28 % (9447)Memory used [KB]: 5500
% 1.49/1.28 % (9447)Time elapsed: 0.002 s
% 1.49/1.28 % (9447)Instructions burned: 1 (million)
% 1.49/1.28 % (9447)------------------------------
% 1.49/1.28 % (9447)------------------------------
% 1.49/1.28 % (9448)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_9250 for (2999ds/3Mi)
% 1.49/1.28 % (9448)Instruction limit reached!
% 1.49/1.28 % (9448)------------------------------
% 1.49/1.28 % (9448)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.28 % (9448)Termination reason: Unknown
% 1.49/1.28 % (9448)Termination phase: Saturation
% 1.49/1.28
% 1.49/1.28 % (9448)Memory used [KB]: 5500
% 1.49/1.28 % (9448)Time elapsed: 0.004 s
% 1.49/1.28 % (9448)Instructions burned: 3 (million)
% 1.49/1.28 % (9448)------------------------------
% 1.49/1.28 % (9448)------------------------------
% 1.49/1.29 % (9451)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_9250 for (2999ds/16Mi)
% 1.49/1.29 % (9450)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_9250 for (2999ds/7Mi)
% 1.49/1.29 % (9451)Instruction limit reached!
% 1.49/1.29 % (9451)------------------------------
% 1.49/1.29 % (9451)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.29 % (9451)Termination reason: Unknown
% 1.49/1.29 % (9451)Termination phase: Saturation
% 1.49/1.29
% 1.49/1.29 % (9451)Memory used [KB]: 5500
% 1.49/1.29 % (9451)Time elapsed: 0.006 s
% 1.49/1.29 % (9451)Instructions burned: 16 (million)
% 1.49/1.29 % (9451)------------------------------
% 1.49/1.29 % (9451)------------------------------
% 1.49/1.29 % (9444)Instruction limit reached!
% 1.49/1.29 % (9444)------------------------------
% 1.49/1.29 % (9444)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.29 % (9444)Termination reason: Unknown
% 1.49/1.29 % (9444)Termination phase: Saturation
% 1.49/1.29
% 1.49/1.29 % (9444)Memory used [KB]: 5500
% 1.49/1.29 % (9444)Time elapsed: 0.020 s
% 1.49/1.29 % (9444)Instructions burned: 18 (million)
% 1.49/1.29 % (9444)------------------------------
% 1.49/1.29 % (9444)------------------------------
% 1.49/1.29 % (9450)Instruction limit reached!
% 1.49/1.29 % (9450)------------------------------
% 1.49/1.29 % (9450)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.29 % (9450)Termination reason: Unknown
% 1.49/1.29 % (9450)Termination phase: Saturation
% 1.49/1.29
% 1.49/1.29 % (9450)Memory used [KB]: 1023
% 1.49/1.29 % (9450)Time elapsed: 0.007 s
% 1.49/1.29 % (9450)Instructions burned: 8 (million)
% 1.49/1.29 % (9450)------------------------------
% 1.49/1.29 % (9450)------------------------------
% 1.49/1.29 % (9452)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_9250 for (2999ds/3Mi)
% 1.49/1.30 % (9452)Instruction limit reached!
% 1.49/1.30 % (9452)------------------------------
% 1.49/1.30 % (9452)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.30 % (9452)Termination reason: Unknown
% 1.49/1.30 % (9452)Termination phase: Saturation
% 1.49/1.30
% 1.49/1.30 % (9452)Memory used [KB]: 5500
% 1.49/1.30 % (9452)Time elapsed: 0.003 s
% 1.49/1.30 % (9452)Instructions burned: 3 (million)
% 1.49/1.30 % (9452)------------------------------
% 1.49/1.30 % (9452)------------------------------
% 1.55/1.30 % (9454)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_9250 for (2999ds/7Mi)
% 1.55/1.30 % (9454)Refutation not found, incomplete strategy
% 1.55/1.30 % (9454)------------------------------
% 1.55/1.30 % (9454)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.30 % (9454)Termination reason: Refutation not found, incomplete strategy
% 1.55/1.30
% 1.55/1.30
% 1.55/1.30 % (9454)Memory used [KB]: 5373
% 1.55/1.30 % (9454)Time elapsed: 0.001 s
% 1.55/1.30 % (9454)Instructions burned: 1 (million)
% 1.55/1.30 % (9454)------------------------------
% 1.55/1.30 % (9454)------------------------------
% 1.55/1.30 % (9446)Instruction limit reached!
% 1.55/1.30 % (9446)------------------------------
% 1.55/1.30 % (9446)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.30 % (9446)Termination reason: Unknown
% 1.55/1.30 % (9446)Termination phase: Saturation
% 1.55/1.30
% 1.55/1.30 % (9446)Memory used [KB]: 5628
% 1.55/1.30 % (9446)Time elapsed: 0.023 s
% 1.55/1.30 % (9446)Instructions burned: 37 (million)
% 1.55/1.30 % (9446)------------------------------
% 1.55/1.30 % (9446)------------------------------
% 1.55/1.30 % (9438)Instruction limit reached!
% 1.55/1.30 % (9438)------------------------------
% 1.55/1.30 % (9438)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.30 % (9438)Termination reason: Unknown
% 1.55/1.30 % (9438)Termination phase: Saturation
% 1.55/1.30
% 1.55/1.30 % (9438)Memory used [KB]: 5756
% 1.55/1.30 % (9438)Time elapsed: 0.051 s
% 1.55/1.30 % (9438)Instructions burned: 185 (million)
% 1.55/1.30 % (9438)------------------------------
% 1.55/1.30 % (9438)------------------------------
% 1.55/1.30 % (9453)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_9250 for (2999ds/3Mi)
% 1.55/1.31 % (9457)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_9250 for (2999ds/18Mi)
% 1.55/1.31 % (9457)Refutation not found, incomplete strategy
% 1.55/1.31 % (9457)------------------------------
% 1.55/1.31 % (9457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.31 % (9453)Instruction limit reached!
% 1.55/1.31 % (9453)------------------------------
% 1.55/1.31 % (9453)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.31 % (9453)Termination reason: Unknown
% 1.55/1.31 % (9453)Termination phase: Saturation
% 1.55/1.31
% 1.55/1.31 % (9453)Memory used [KB]: 1023
% 1.55/1.31 % (9453)Time elapsed: 0.004 s
% 1.55/1.31 % (9453)Instructions burned: 3 (million)
% 1.55/1.31 % (9453)------------------------------
% 1.55/1.31 % (9453)------------------------------
% 1.55/1.31 % (9457)Termination reason: Refutation not found, incomplete strategy
% 1.55/1.31
% 1.55/1.31
% 1.55/1.31 % (9457)Memory used [KB]: 5500
% 1.55/1.31 % (9457)Time elapsed: 0.002 s
% 1.55/1.31 % (9457)Instructions burned: 1 (million)
% 1.55/1.31 % (9457)------------------------------
% 1.55/1.31 % (9457)------------------------------
% 1.55/1.31 % (9456)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_9250 for (2999ds/4Mi)
% 1.55/1.31 % (9458)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_9250 for (2999ds/710Mi)
% 1.55/1.31 % (9456)Instruction limit reached!
% 1.55/1.31 % (9456)------------------------------
% 1.55/1.31 % (9456)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.31 % (9456)Termination reason: Unknown
% 1.55/1.31 % (9456)Termination phase: Saturation
% 1.55/1.31
% 1.55/1.31 % (9456)Memory used [KB]: 5500
% 1.55/1.31 % (9456)Time elapsed: 0.004 s
% 1.55/1.31 % (9456)Instructions burned: 4 (million)
% 1.55/1.31 % (9456)------------------------------
% 1.55/1.31 % (9456)------------------------------
% 1.55/1.31 % (9460)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_9250 for (2999ds/902Mi)
% 1.55/1.31 % (9460)Refutation not found, incomplete strategy
% 1.55/1.31 % (9460)------------------------------
% 1.55/1.31 % (9460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.31 % (9460)Termination reason: Refutation not found, incomplete strategy
% 1.55/1.31
% 1.55/1.31
% 1.55/1.31 % (9460)Memory used [KB]: 5373
% 1.55/1.31 % (9460)Time elapsed: 0.002 s
% 1.55/1.31 % (9460)Instructions burned: 1 (million)
% 1.55/1.31 % (9460)------------------------------
% 1.55/1.31 % (9460)------------------------------
% 1.55/1.31 % (9455)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_9250 for (2999ds/3Mi)
% 1.55/1.32 % (9455)Instruction limit reached!
% 1.55/1.32 % (9455)------------------------------
% 1.55/1.32 % (9455)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.32 % (9455)Termination reason: Unknown
% 1.55/1.32 % (9455)Termination phase: Saturation
% 1.55/1.32
% 1.55/1.32 % (9455)Memory used [KB]: 5500
% 1.55/1.32 % (9455)Time elapsed: 0.004 s
% 1.55/1.32 % (9455)Instructions burned: 3 (million)
% 1.55/1.32 % (9455)------------------------------
% 1.55/1.32 % (9455)------------------------------
% 1.55/1.32 % (9461)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_9250 for (2999ds/21Mi)
% 1.55/1.32 % (9461)First to succeed.
% 1.55/1.32 % (9461)Refutation found. Thanks to Tanya!
% 1.55/1.32 % SZS status Theorem for DTF2THF_9250
% 1.55/1.32 % SZS output start Proof for DTF2THF_9250
% 1.55/1.32 thf(func_def_3, type, sK0: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.55/1.32 thf(func_def_4, type, sK1: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.55/1.32 thf(func_def_12, type, sK2: ($i > $i) > $i).
% 1.55/1.32 thf(func_def_13, type, sK3: ($i > $i) > $i).
% 1.55/1.32 thf(func_def_14, type, sP4: $o > $o).
% 1.55/1.32 thf(func_def_16, type, ph6: !>[X0: $tType]:(X0)).
% 1.55/1.32 thf(f46,plain,(
% 1.55/1.32 $false),
% 1.55/1.32 inference(equality_resolution,[status(thm)],[f45])).
% 1.55/1.32 thf(f45,plain,(
% 1.55/1.32 ( ! [X0 : $i > $i] : (((^[Y0 : $i]: (Y0)) != X0)) )),
% 1.55/1.32 inference(duplicate_literal_removal,[status(thm)],[f44])).
% 1.55/1.32 thf(f44,plain,(
% 1.55/1.32 ( ! [X0 : $i > $i] : (((^[Y0 : $i]: (Y0)) != X0) | ((^[Y0 : $i]: (Y0)) != X0)) )),
% 1.55/1.32 inference(equality_resolution,[status(thm)],[f41])).
% 1.55/1.32 thf(f41,plain,(
% 1.55/1.32 ( ! [X0 : $i > $i] : (((sK2 @ (^[Y0 : $i]: (Y0))) != (sK2 @ X0)) | ((^[Y0 : $i]: (Y0)) != X0)) )),
% 1.55/1.32 inference(equality_resolution,[status(thm)],[f38])).
% 1.55/1.32 thf(f38,plain,(
% 1.55/1.32 ( ! [X1 : $i > $i] : (((sK3 @ X1) != (sK3 @ (^[Y0 : $i]: (Y0)))) | ((sK2 @ (^[Y0 : $i]: (Y0))) != (sK2 @ X1))) )),
% 1.55/1.32 inference(beta_eta_normalization,[status(thm)],[f33])).
% 1.55/1.32 thf(f33,plain,(
% 1.55/1.32 ( ! [X1 : $i > $i] : ((((^[Y0 : $i]: (Y0)) @ (sK3 @ (^[Y0 : $i]: (Y0)))) != (sK3 @ X1)) | ((sK2 @ X1) != ((^[Y0 : $i]: (Y0)) @ (sK2 @ (^[Y0 : $i]: (Y0)))))) )),
% 1.55/1.32 inference(project,[status(thm)],[f31])).
% 1.55/1.32 thf(f31,plain,(
% 1.55/1.32 ( ! [X0 : $i > $i,X1 : $i > $i] : (((sK3 @ X1) != (X0 @ (sK3 @ X0))) | ((sK2 @ X1) != (X0 @ (sK2 @ X0)))) )),
% 1.55/1.32 inference(constrained_superposition,[status(thm)],[f26,f25])).
% 1.55/1.32 thf(f25,plain,(
% 1.55/1.32 ( ! [X0 : $i > $i] : (((X0 @ (sK3 @ X0)) = (X0 @ (sK2 @ X0)))) )),
% 1.55/1.32 inference(cnf_transformation,[status(thm)],[f24])).
% 1.55/1.32 thf(f24,plain,(
% 1.55/1.32 ! [X0 : $i > $i] : (((sK3 @ X0) != (sK2 @ X0)) & ((X0 @ (sK3 @ X0)) = (X0 @ (sK2 @ X0))))),
% 1.55/1.32 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f22,f23])).
% 1.55/1.32 thf(f23,plain,(
% 1.55/1.32 ! [X0 : $i > $i] : (? [X1 : $i,X2 : $i] : ((X1 != X2) & ((X0 @ X1) = (X0 @ X2))) => (((sK3 @ X0) != (sK2 @ X0)) & ((X0 @ (sK3 @ X0)) = (X0 @ (sK2 @ X0)))))),
% 1.55/1.32 introduced(definition,[],[choice_axiom])).
% 1.55/1.32 thf(f22,plain,(
% 1.55/1.32 ! [X0 : $i > $i] : ? [X1 : $i,X2 : $i] : ((X1 != X2) & ((X0 @ X1) = (X0 @ X2)))),
% 1.55/1.32 inference(ennf_transformation,[status(thm)],[f4])).
% 1.55/1.32 thf(f4,plain,(
% 1.55/1.32 ~? [X0 : $i > $i] : ! [X1 : $i,X2 : $i] : (((X0 @ X1) = (X0 @ X2)) => (X1 = X2))),
% 1.55/1.32 inference(fool_elimination,[status(thm)],[f2])).
% 1.55/1.32 thf(f2,negated_conjecture,(
% 1.55/1.32 ~? [X0 : $i > $i] : ! [X1 : $i,X2 : $i] : (((X0 @ X1) = (X0 @ X2)) => (X1 = X2))),
% 1.55/1.32 inference(negated_conjecture,[status(cth)],[f1])).
% 1.55/1.32 thf(f1,conjecture,(
% 1.55/1.32 ? [X0 : $i > $i] : ! [X1 : $i,X2 : $i] : (((X0 @ X1) = (X0 @ X2)) => (X1 = X2))),
% 1.55/1.32 file('/export/starexec/sandbox/tmp/tmp.na5hJGyk8J/DTF2THF_9250.p',cTHM8_pme)).
% 1.55/1.32 thf(f26,plain,(
% 1.55/1.32 ( ! [X0 : $i > $i] : (((sK3 @ X0) != (sK2 @ X0))) )),
% 1.55/1.32 inference(cnf_transformation,[status(thm)],[f24])).
% 1.55/1.32 % SZS output end Proof for DTF2THF_9250
% 1.55/1.32 % (9461)------------------------------
% 1.55/1.32 % (9461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.32 % (9461)Termination reason: Refutation
% 1.55/1.32
% 1.55/1.32 % (9461)Memory used [KB]: 5500
% 1.55/1.32 % (9461)Time elapsed: 0.003 s
% 1.55/1.32 % (9461)Instructions burned: 5 (million)
% 1.55/1.32 % (9461)------------------------------
% 1.55/1.32 % (9461)------------------------------
% 1.55/1.32 % (9437)Success in time 0.064 s
%------------------------------------------------------------------------------