%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU953^5 : 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 : n020.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 09:37:50 AM UTC 2026
% Result : Theorem 1.80s 1.58s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 16 unt; 0 typ; 3 def)
% Number of atoms : 38 ( 37 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 98 ( 15 ~; 4 |; 2 &; 69 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 56 ( 18 ^; 34 !; 4 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
g: $i > $i ).
thf(func_def_6,type,
sF0: ( $i > $i ) > $i > $i ).
thf(func_def_7,type,
sF1: $i > $i ).
thf(func_def_8,type,
sF2: $i > $i ).
thf(func_def_10,type,
ph4:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
inv_sF2_5: $i > $i ).
thf(func_def_12,type,
sK6: ( $i > $i ) > $i ).
thf(f29,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f27]) ).
thf(f27,plain,
( ( sK6 @ inv_sF2_5 )
!= ( sK6 @ inv_sF2_5 ) ),
inference(superposition,[status(thm)],[f24,f17]) ).
thf(f17,plain,
! [X2: $i] :
( ( inv_sF2_5 @ ( sF2 @ X2 ) )
= X2 ),
inference(injectivity,[status(thm)],[f14]) ).
thf(f14,plain,
! [X2: $i,X1: $i] :
( ( ( sF2 @ X2 )
!= ( sF2 @ X1 ) )
| ( X1 = X2 ) ),
inference(definition_folding,[status(thm)],[f8,f13,f13]) ).
thf(f13,definition,
! [X1: $i] :
( ( g @ X1 )
= ( sF2 @ X1 ) ),
introduced(definition,[],[function_definition]) ).
thf(f8,plain,
! [X2: $i,X1: $i] :
( ( X1 = X2 )
| ( ( g @ X1 )
!= ( g @ X2 ) ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
( ! [X0: $i > $i] :
( ( ^ [Y0: $i] : ( X0 @ ( g @ Y0 ) ) )
!= ( ^ [Y0: $i] : Y0 ) )
& ! [X1: $i,X2: $i] :
( ( X1 = X2 )
| ( ( g @ X1 )
!= ( g @ X2 ) ) ) ),
inference(rectify,[status(thm)],[f6]) ).
thf(f6,plain,
( ! [X2: $i > $i] :
( ( ^ [Y0: $i] : ( X2 @ ( g @ Y0 ) ) )
!= ( ^ [Y0: $i] : Y0 ) )
& ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( g @ X0 )
!= ( g @ X1 ) ) ) ),
inference(ennf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
~ ( ! [X0: $i,X1: $i] :
( ( ( g @ X0 )
= ( g @ X1 ) )
=> ( X0 = X1 ) )
=> ? [X2: $i > $i] :
( ( ^ [Y0: $i] : ( X2 @ ( g @ Y0 ) ) )
= ( ^ [Y0: $i] : Y0 ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ! [X0: $i,X1: $i] :
( ( ( g @ X0 )
= ( g @ X1 ) )
=> ( X0 = X1 ) )
=> ? [X2: $i > $i] :
( ( ^ [X3: $i] : ( X2 @ ( g @ X3 ) ) )
= ( ^ [X4: $i] : X4 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: $i,X1: $i] :
( ( ( g @ X0 )
= ( g @ X1 ) )
=> ( X0 = X1 ) )
=> ? [X2: $i > $i] :
( ( ^ [X0: $i] : ( X2 @ ( g @ X0 ) ) )
= ( ^ [X0: $i] : X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ! [X0: $i,X1: $i] :
( ( ( g @ X0 )
= ( g @ X1 ) )
=> ( X0 = X1 ) )
=> ? [X2: $i > $i] :
( ( ^ [X0: $i] : ( X2 @ ( g @ X0 ) ) )
= ( ^ [X0: $i] : X0 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.sP8tEOjKwx/DTF2THF_30550.p',cTHM591_pme) ).
thf(f24,plain,
! [X0: $i > $i] :
( ( sK6 @ X0 )
!= ( X0 @ ( sF2 @ ( sK6 @ X0 ) ) ) ),
inference(superposition,[status(thm)],[f20,f23]) ).
thf(f23,plain,
! [X0: $i > $i,X1: $i] :
( ( X0 @ ( sF2 @ X1 ) )
= ( sF0 @ X0 @ X1 ) ),
inference(forward_demodulation,[status(thm)],[f22,f13]) ).
thf(f22,plain,
! [X0: $i > $i,X1: $i] :
( ( X0 @ ( g @ X1 ) )
= ( sF0 @ X0 @ X1 ) ),
inference(beta_eta_normalization,[status(thm)],[f21]) ).
thf(f21,plain,
! [X0: $i > $i,X1: $i] :
( ( ^ [Y0: $i] : ( X0 @ ( g @ Y0 ) )
@ X1 )
= ( sF0 @ X0 @ X1 ) ),
inference(argument_congruence,[status(thm)],[f10]) ).
thf(f10,definition,
! [X0: $i > $i] :
( ( ^ [Y0: $i] : ( X0 @ ( g @ Y0 ) ) )
= ( sF0 @ X0 ) ),
introduced(definition,[],[function_definition]) ).
thf(f20,plain,
! [X0: $i > $i] :
( ( sK6 @ X0 )
!= ( sF0 @ X0 @ ( sK6 @ X0 ) ) ),
inference(forward_demodulation,[status(thm)],[f19,f16]) ).
thf(f16,plain,
! [X1: $i] :
( ( sF1 @ X1 )
= X1 ),
inference(beta_eta_normalization,[status(thm)],[f15]) ).
thf(f15,plain,
! [X1: $i] :
( ( sF1 @ X1 )
= ( ^ [Y0: $i] : Y0
@ X1 ) ),
inference(argument_congruence,[status(thm)],[f11]) ).
thf(f11,definition,
( ( ^ [Y0: $i] : Y0 )
= sF1 ),
introduced(definition,[],[function_definition]) ).
thf(f19,plain,
! [X0: $i > $i] :
( ( sF0 @ X0 @ ( sK6 @ X0 ) )
!= ( sF1 @ ( sK6 @ X0 ) ) ),
inference(negative_extensionality,[status(thm)],[f12]) ).
thf(f12,plain,
! [X0: $i > $i] :
( ( sF0 @ X0 )
!= sF1 ),
inference(definition_folding,[status(thm)],[f9,f11,f10]) ).
thf(f9,plain,
! [X0: $i > $i] :
( ( ^ [Y0: $i] : ( X0 @ ( g @ Y0 ) ) )
!= ( ^ [Y0: $i] : Y0 ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU953^5 : 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
% 0.16/0.34 % Computer : n020.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 12:37:27 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.34/0.48 ---- Original DTF file ---
% 0.34/0.48 thf(spec,logic,$$dhol).
% 0.34/0.48 %------------------------------------------------------------------------------
% 0.34/0.48 % File : SEU953^5 : TPTP v9.2.1. Released v4.0.0.
% 0.34/0.48 % Domain : Set Theory (Functions)
% 0.34/0.48 % Problem : TPS problem from FUNCTION-THMS
% 0.34/0.48 % Version : Especial.
% 0.34/0.48 % English :
% 0.34/0.48
% 0.34/0.48 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.34/0.48 % Source : [Bro09]
% 0.34/0.48 % Names : tps_0819 [Bro09]
% 0.34/0.48
% 0.34/0.48 % Status : Theorem
% 0.34/0.48 % Rating : 0.56 v9.1.0, 0.50 v9.0.0, 0.60 v8.2.0, 0.77 v8.1.0, 0.73 v7.5.0, 0.43 v7.4.0, 0.78 v7.2.0, 0.75 v7.1.0, 0.88 v7.0.0, 0.86 v6.4.0, 0.83 v6.3.0, 0.80 v6.2.0, 0.86 v6.1.0, 1.00 v4.0.0
% 0.34/0.48 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.34/0.48 % Number of atoms : 3 ( 3 equ; 0 cnn)
% 0.34/0.48 % Maximal formula atoms : 3 ( 3 avg)
% 0.34/0.48 % Number of connectives : 6 ( 0 ~; 0 |; 0 &; 4 @)
% 0.34/0.48 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.34/0.48 % Maximal formula depth : 5 ( 5 avg)
% 0.34/0.48 % Number of types : 1 ( 0 usr)
% 0.34/0.48 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.34/0.48 % Number of symbols : 2 ( 1 usr; 0 con; 1-2 aty)
% 0.34/0.48 % Number of variables : 5 ( 2 ^; 2 !; 1 ?; 5 :)
% 0.34/0.48 % SPC : TH0_THM_EQU_NAR
% 0.34/0.48
% 0.34/0.48 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.34/0.48 % project in the Department of Mathematical Sciences at Carnegie
% 0.34/0.48 % Mellon University. Distributed under the Creative Commons copyleft
% 0.34/0.48 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.34/0.48 %------------------------------------------------------------------------------
% 0.34/0.48 thf(g,type,
% 0.34/0.48 g: $i > $i ).
% 0.34/0.48
% 0.34/0.48 thf(cTHM591_pme,conjecture,
% 0.34/0.48 ( ! [Xx: $i,Xy: $i] :
% 0.34/0.48 ( ( ( g @ Xx )
% 0.34/0.48 = ( g @ Xy ) )
% 0.34/0.48 => ( Xx = Xy ) )
% 0.34/0.48 => ? [Xh: $i > $i] :
% 0.34/0.48 ( ( ^ [Xx: $i] : ( Xh @ ( g @ Xx ) ) )
% 0.34/0.48 = ( ^ [Xx: $i] : Xx ) ) ) ).
% 0.34/0.48
% 0.34/0.48 %------------------------------------------------------------------------------
% 0.34/0.48 ------------------------
% 1.80/1.51 ---- Embedded in THF ---
% 1.80/1.51 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.80/1.51 %%% Generated on Tue Feb 24 12:37:28 EST 2026
% 1.80/1.51 %%% using '$$dhol' embedding, version 1.3.0.
% 1.80/1.51 %%% Logic specification used:
% 1.80/1.51 %%% thf(spec, logic, $$dhol).
% 1.80/1.51
% 1.80/1.51 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.sP8tEOjKwx/DTF2DTF30550.p
% See solution above
% 1.80/1.51 ------------------------
% 1.80/1.52 ---- Cleaned THF ---
% 1.80/1.52 thf(g,type,
% 1.80/1.52 g: $i > $i ).
% 1.80/1.52
% 1.80/1.52 thf(cTHM591_pme,conjecture,
% 1.80/1.52 ( ! [Xx: $i,Xy: $i] :
% 1.80/1.52 ( ( ( g @ Xx )
% 1.80/1.52 = ( g @ Xy ) )
% 1.80/1.52 => ( Xx = Xy ) )
% 1.80/1.52 => ? [Xh: $i > $i] :
% 1.80/1.52 ( ( ^ [Xx: $i] : ( Xh @ ( g @ Xx ) ) )
% 1.80/1.52 = ( ^ [Xx: $i] : Xx ) ) ) ).
% 1.80/1.52 ------------------------
% 1.80/1.54 % (30707)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_30550 for (3000ds/275Mi)
% 1.80/1.54 % (30706)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_30550 for (3000ds/2Mi)
% 1.80/1.54 % (30703)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_30550 for (3000ds/4Mi)
% 1.80/1.54 % (30705)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_30550 for (3000ds/2Mi)
% 1.80/1.54 % (30702)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_30550 for (3000ds/183Mi)
% 1.80/1.54 % (30704)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_30550 for (3000ds/27Mi)
% 1.80/1.54 % (30708)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_30550 for (3000ds/18Mi)
% 1.80/1.54 % (30707)Refutation not found, incomplete strategy
% 1.80/1.54 % (30707)------------------------------
% 1.80/1.54 % (30707)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.54 % (30702)Refutation not found, incomplete strategy
% 1.80/1.54 % (30702)------------------------------
% 1.80/1.54 % (30702)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.54 % (30702)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.54
% 1.80/1.54
% 1.80/1.54 % (30703)Refutation not found, incomplete strategy
% 1.80/1.54 % (30703)------------------------------
% 1.80/1.54 % (30703)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.54 % (30702)Memory used [KB]: 5373
% 1.80/1.54 % (30703)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.54
% 1.80/1.54
% 1.80/1.54 % (30702)Time elapsed: 0.002 s
% 1.80/1.54 % (30702)Instructions burned: 1 (million)
% 1.80/1.54 % (30703)Memory used [KB]: 5373
% 1.80/1.54 % (30702)------------------------------
% 1.80/1.54 % (30702)------------------------------
% 1.80/1.54 % (30703)Time elapsed: 0.002 s
% 1.80/1.54 % (30703)Instructions burned: 1 (million)
% 1.80/1.54 % (30703)------------------------------
% 1.80/1.54 % (30703)------------------------------
% 1.80/1.54 % (30708)Refutation not found, incomplete strategy
% 1.80/1.54 % (30708)------------------------------
% 1.80/1.54 % (30708)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.54 % (30708)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.54
% 1.80/1.54
% 1.80/1.54 % (30708)Memory used [KB]: 5500
% 1.80/1.54 % (30708)Time elapsed: 0.002 s
% 1.80/1.54 % (30704)Refutation not found, incomplete strategy
% 1.80/1.54 % (30704)------------------------------
% 1.80/1.54 % (30704)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.54 % (30708)Instructions burned: 1 (million)
% 1.80/1.54 % (30704)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.54
% 1.80/1.54 % (30708)------------------------------
% 1.80/1.54 % (30708)------------------------------
% 1.80/1.54
% 1.80/1.54 % (30704)Memory used [KB]: 5500
% 1.80/1.54 % (30704)Time elapsed: 0.002 s
% 1.80/1.54 % (30704)Instructions burned: 1 (million)
% 1.80/1.54 % (30704)------------------------------
% 1.80/1.54 % (30704)------------------------------
% 1.80/1.54 % (30707)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.54
% 1.80/1.54
% 1.80/1.54 % (30707)Memory used [KB]: 5373
% 1.80/1.54 % (30707)Time elapsed: 0.003 s
% 1.80/1.54 % (30707)Instructions burned: 1 (million)
% 1.80/1.54 % (30705)Refutation not found, incomplete strategy
% 1.80/1.54 % (30705)------------------------------
% 1.80/1.54 % (30705)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.54 % (30705)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.54
% 1.80/1.54
% 1.80/1.54 % (30705)Memory used [KB]: 5500
% 1.80/1.54 % (30705)Time elapsed: 0.002 s
% 1.80/1.54 % (30705)Instructions burned: 1 (million)
% 1.80/1.54 % (30705)------------------------------
% 1.80/1.54 % (30705)------------------------------
% 1.80/1.54 % (30707)------------------------------
% 1.80/1.54 % (30707)------------------------------
% 1.80/1.54 % (30706)Instruction limit reached!
% 1.80/1.54 % (30706)------------------------------
% 1.80/1.54 % (30706)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.54 % (30706)Termination reason: Unknown
% 1.80/1.54 % (30706)Termination phase: Saturation
% 1.80/1.54
% 1.80/1.54 % (30706)Memory used [KB]: 5500
% 1.80/1.54 % (30706)Time elapsed: 0.003 s
% 1.80/1.54 % (30706)Instructions burned: 3 (million)
% 1.80/1.54 % (30706)------------------------------
% 1.80/1.54 % (30706)------------------------------
% 1.80/1.56 % (30713)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_30550 for (2999ds/1041Mi)
% 1.80/1.56 % (30710)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_30550 for (2999ds/37Mi)
% 1.80/1.56 % (30709)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_30550 for (2999ds/3Mi)
% 1.80/1.56 % (30712)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_30550 for (2999ds/3Mi)
% 1.80/1.56 % (30711)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_30550 for (2999ds/15Mi)
% 1.80/1.56 % (30715)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_30550 for (2999ds/16Mi)
% 1.80/1.56 % (30714)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_30550 for (2999ds/7Mi)
% 1.80/1.56 % (30711)Refutation not found, incomplete strategy
% 1.80/1.56 % (30711)------------------------------
% 1.80/1.56 % (30711)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.56 % (30711)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.56
% 1.80/1.56
% 1.80/1.56 % (30711)Memory used [KB]: 5500
% 1.80/1.56 % (30711)Time elapsed: 0.002 s
% 1.80/1.56 % (30711)Instructions burned: 1 (million)
% 1.80/1.56 % (30711)------------------------------
% 1.80/1.56 % (30711)------------------------------
% 1.80/1.56 % (30712)Refutation not found, incomplete strategy
% 1.80/1.56 % (30712)------------------------------
% 1.80/1.56 % (30712)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.56 % (30712)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.56
% 1.80/1.56 % (30709)Refutation not found, incomplete strategy
% 1.80/1.56 % (30709)------------------------------
% 1.80/1.56 % (30709)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.56 % (30709)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.56
% 1.80/1.56
% 1.80/1.56 % (30709)Memory used [KB]: 5500
% 1.80/1.56 % (30709)Time elapsed: 0.002 s
% 1.80/1.56 % (30709)Instructions burned: 1 (million)
% 1.80/1.56 % (30709)------------------------------
% 1.80/1.56 % (30709)------------------------------
% 1.80/1.56
% 1.80/1.56 % (30712)Memory used [KB]: 5500
% 1.80/1.56 % (30712)Time elapsed: 0.002 s
% 1.80/1.56 % (30712)Instructions burned: 1 (million)
% 1.80/1.56 % (30714)Refutation not found, incomplete strategy
% 1.80/1.56 % (30714)------------------------------
% 1.80/1.56 % (30714)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.56 % (30712)------------------------------
% 1.80/1.56 % (30712)------------------------------
% 1.80/1.56 % (30714)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.56
% 1.80/1.56
% 1.80/1.56 % (30714)Memory used [KB]: 1023
% 1.80/1.56 % (30714)Time elapsed: 0.002 s
% 1.80/1.56 % (30714)Instructions burned: 1 (million)
% 1.80/1.56 % (30714)------------------------------
% 1.80/1.56 % (30714)------------------------------
% 1.80/1.56 % (30710)Refutation not found, incomplete strategy
% 1.80/1.56 % (30710)------------------------------
% 1.80/1.56 % (30710)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.56 % (30710)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.56
% 1.80/1.56
% 1.80/1.56 % (30710)Memory used [KB]: 5500
% 1.80/1.56 % (30710)Time elapsed: 0.003 s
% 1.80/1.56 % (30710)Instructions burned: 3 (million)
% 1.80/1.56 % (30710)------------------------------
% 1.80/1.56 % (30710)------------------------------
% 1.80/1.56 % (30715)Instruction limit reached!
% 1.80/1.56 % (30715)------------------------------
% 1.80/1.56 % (30715)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.56 % (30715)Termination reason: Unknown
% 1.80/1.56 % (30715)Termination phase: Saturation
% 1.80/1.56
% 1.80/1.56 % (30715)Memory used [KB]: 5500
% 1.80/1.56 % (30715)Time elapsed: 0.010 s
% 1.80/1.56 % (30715)Instructions burned: 16 (million)
% 1.80/1.56 % (30715)------------------------------
% 1.80/1.56 % (30715)------------------------------
% 1.80/1.57 % (30719)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_30550 for (2999ds/3Mi)
% 1.80/1.57 % (30716)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_30550 for (2999ds/3Mi)
% 1.80/1.57 % (30718)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_30550 for (2999ds/7Mi)
% 1.80/1.57 % (30720)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_30550 for (2999ds/4Mi)
% 1.80/1.57 % (30717)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_30550 for (2999ds/3Mi)
% 1.80/1.57 % (30718)Refutation not found, incomplete strategy
% 1.80/1.57 % (30718)------------------------------
% 1.80/1.57 % (30718)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.57 % (30718)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.57
% 1.80/1.57
% 1.80/1.57 % (30718)Memory used [KB]: 5373
% 1.80/1.57 % (30718)Time elapsed: 0.002 s
% 1.80/1.57 % (30718)Instructions burned: 1 (million)
% 1.80/1.57 % (30718)------------------------------
% 1.80/1.57 % (30718)------------------------------
% 1.80/1.58 % (30717)Instruction limit reached!
% 1.80/1.58 % (30717)------------------------------
% 1.80/1.58 % (30717)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.58 % (30717)Termination reason: Unknown
% 1.80/1.58 % (30717)Termination phase: Saturation
% 1.80/1.58
% 1.80/1.58 % (30717)Memory used [KB]: 1023
% 1.80/1.58 % (30717)Time elapsed: 0.003 s
% 1.80/1.58 % (30717)Instructions burned: 3 (million)
% 1.80/1.58 % (30717)------------------------------
% 1.80/1.58 % (30717)------------------------------
% 1.80/1.58 % (30719)Instruction limit reached!
% 1.80/1.58 % (30719)------------------------------
% 1.80/1.58 % (30719)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.58 % (30719)Termination reason: Unknown
% 1.80/1.58 % (30719)Termination phase: Saturation
% 1.80/1.58
% 1.80/1.58 % (30719)Memory used [KB]: 5500
% 1.80/1.58 % (30719)Time elapsed: 0.004 s
% 1.80/1.58 % (30719)Instructions burned: 3 (million)
% 1.80/1.58 % (30719)------------------------------
% 1.80/1.58 % (30719)------------------------------
% 1.80/1.58 % (30720)Instruction limit reached!
% 1.80/1.58 % (30720)------------------------------
% 1.80/1.58 % (30720)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.58 % (30720)Termination reason: Unknown
% 1.80/1.58 % (30720)Termination phase: Saturation
% 1.80/1.58
% 1.80/1.58 % (30720)Memory used [KB]: 5500
% 1.80/1.58 % (30720)Time elapsed: 0.004 s
% 1.80/1.58 % (30720)Instructions burned: 4 (million)
% 1.80/1.58 % (30720)------------------------------
% 1.80/1.58 % (30720)------------------------------
% 1.80/1.58 % (30716)First to succeed.
% 1.80/1.58 % (30716)Refutation found. Thanks to Tanya!
% 1.80/1.58 % SZS status Theorem for DTF2THF_30550
% 1.80/1.58 % SZS output start Proof for DTF2THF_30550
% 1.80/1.58 thf(func_def_0, type, g: $i > $i).
% 1.80/1.58 thf(func_def_6, type, sF0: ($i > $i) > $i > $i).
% 1.80/1.58 thf(func_def_7, type, sF1: $i > $i).
% 1.80/1.58 thf(func_def_8, type, sF2: $i > $i).
% 1.80/1.58 thf(func_def_10, type, ph4: !>[X0: $tType]:(X0)).
% 1.80/1.58 thf(func_def_11, type, inv_sF2_5: $i > $i).
% 1.80/1.58 thf(func_def_12, type, sK6: ($i > $i) > $i).
% 1.80/1.58 thf(f29,plain,(
% 1.80/1.58 $false),
% 1.80/1.58 inference(trivial_inequality_removal,[status(thm)],[f27])).
% 1.80/1.58 thf(f27,plain,(
% 1.80/1.58 ((sK6 @ inv_sF2_5) != (sK6 @ inv_sF2_5))),
% 1.80/1.58 inference(superposition,[status(thm)],[f24,f17])).
% 1.80/1.58 thf(f17,plain,(
% 1.80/1.58 ( ! [X2 : $i] : (((inv_sF2_5 @ (sF2 @ X2)) = X2)) )),
% 1.80/1.58 inference(injectivity,[status(thm)],[f14])).
% 1.80/1.58 thf(f14,plain,(
% 1.80/1.58 ( ! [X2 : $i,X1 : $i] : (((sF2 @ X2) != (sF2 @ X1)) | (X1 = X2)) )),
% 1.80/1.58 inference(definition_folding,[status(thm)],[f8,f13,f13])).
% 1.80/1.58 thf(f13,definition,(
% 1.80/1.58 ( ! [X1 : $i] : (((g @ X1) = (sF2 @ X1))) )),
% 1.80/1.58 introduced(definition,[],[function_definition])).
% 1.80/1.58 thf(f8,plain,(
% 1.80/1.58 ( ! [X2 : $i,X1 : $i] : ((X1 = X2) | ((g @ X1) != (g @ X2))) )),
% 1.80/1.58 inference(cnf_transformation,[status(thm)],[f7])).
% 1.80/1.58 thf(f7,plain,(
% 1.80/1.58 ! [X0 : $i > $i] : ((^[Y0 : $i]: (X0 @ (g @ Y0))) != (^[Y0 : $i]: (Y0))) & ! [X1 : $i,X2 : $i] : ((X1 = X2) | ((g @ X1) != (g @ X2)))),
% 1.80/1.58 inference(rectify,[status(thm)],[f6])).
% 1.80/1.58 thf(f6,plain,(
% 1.80/1.58 ! [X2 : $i > $i] : ((^[Y0 : $i]: (X2 @ (g @ Y0))) != (^[Y0 : $i]: (Y0))) & ! [X0 : $i,X1 : $i] : ((X0 = X1) | ((g @ X0) != (g @ X1)))),
% 1.80/1.58 inference(ennf_transformation,[status(thm)],[f5])).
% 1.80/1.58 thf(f5,plain,(
% 1.80/1.58 ~(! [X0 : $i,X1 : $i] : (((g @ X0) = (g @ X1)) => (X0 = X1)) => ? [X2 : $i > $i] : ((^[Y0 : $i]: (X2 @ (g @ Y0))) = (^[Y0 : $i]: (Y0))))),
% 1.80/1.58 inference(fool_elimination,[status(thm)],[f4])).
% 1.80/1.58 thf(f4,plain,(
% 1.80/1.58 ~(! [X0 : $i,X1 : $i] : (((g @ X0) = (g @ X1)) => (X0 = X1)) => ? [X2 : $i > $i] : ((^[X3 : $i] : (X2 @ (g @ X3))) = (^[X4 : $i] : (X4))))),
% 1.80/1.58 inference(rectify,[status(thm)],[f2])).
% 1.80/1.58 thf(f2,negated_conjecture,(
% 1.80/1.58 ~(! [X0 : $i,X1 : $i] : (((g @ X0) = (g @ X1)) => (X0 = X1)) => ? [X2 : $i > $i] : ((^[X0 : $i] : (X2 @ (g @ X0))) = (^[X0 : $i] : (X0))))),
% 1.80/1.58 inference(negated_conjecture,[status(cth)],[f1])).
% 1.80/1.58 thf(f1,conjecture,(
% 1.80/1.58 ! [X0 : $i,X1 : $i] : (((g @ X0) = (g @ X1)) => (X0 = X1)) => ? [X2 : $i > $i] : ((^[X0 : $i] : (X2 @ (g @ X0))) = (^[X0 : $i] : (X0)))),
% 1.80/1.58 file('/export/starexec/sandbox/tmp/tmp.sP8tEOjKwx/DTF2THF_30550.p',cTHM591_pme)).
% 1.80/1.58 thf(f24,plain,(
% 1.80/1.58 ( ! [X0 : $i > $i] : (((sK6 @ X0) != (X0 @ (sF2 @ (sK6 @ X0))))) )),
% 1.80/1.58 inference(superposition,[status(thm)],[f20,f23])).
% 1.80/1.58 thf(f23,plain,(
% 1.80/1.58 ( ! [X0 : $i > $i,X1 : $i] : (((X0 @ (sF2 @ X1)) = (sF0 @ X0 @ X1))) )),
% 1.80/1.58 inference(forward_demodulation,[status(thm)],[f22,f13])).
% 1.80/1.58 thf(f22,plain,(
% 1.80/1.58 ( ! [X0 : $i > $i,X1 : $i] : (((X0 @ (g @ X1)) = (sF0 @ X0 @ X1))) )),
% 1.80/1.58 inference(beta_eta_normalization,[status(thm)],[f21])).
% 1.80/1.58 thf(f21,plain,(
% 1.80/1.58 ( ! [X0 : $i > $i,X1 : $i] : ((((^[Y0 : $i]: (X0 @ (g @ Y0))) @ X1) = (sF0 @ X0 @ X1))) )),
% 1.80/1.58 inference(argument_congruence,[status(thm)],[f10])).
% 1.80/1.58 thf(f10,definition,(
% 1.80/1.58 ( ! [X0 : $i > $i] : (((^[Y0 : $i]: (X0 @ (g @ Y0))) = (sF0 @ X0))) )),
% 1.80/1.58 introduced(definition,[],[function_definition])).
% 1.80/1.58 thf(f20,plain,(
% 1.80/1.58 ( ! [X0 : $i > $i] : (((sK6 @ X0) != (sF0 @ X0 @ (sK6 @ X0)))) )),
% 1.80/1.58 inference(forward_demodulation,[status(thm)],[f19,f16])).
% 1.80/1.58 thf(f16,plain,(
% 1.80/1.58 ( ! [X1 : $i] : (((sF1 @ X1) = X1)) )),
% 1.80/1.58 inference(beta_eta_normalization,[status(thm)],[f15])).
% 1.80/1.58 thf(f15,plain,(
% 1.80/1.58 ( ! [X1 : $i] : (((sF1 @ X1) = ((^[Y0 : $i]: (Y0)) @ X1))) )),
% 1.80/1.58 inference(argument_congruence,[status(thm)],[f11])).
% 1.80/1.58 thf(f11,definition,(
% 1.80/1.58 ((^[Y0 : $i]: (Y0)) = sF1)),
% 1.80/1.58 introduced(definition,[],[function_definition])).
% 1.80/1.58 thf(f19,plain,(
% 1.80/1.58 ( ! [X0 : $i > $i] : (((sF0 @ X0 @ (sK6 @ X0)) != (sF1 @ (sK6 @ X0)))) )),
% 1.80/1.58 inference(negative_extensionality,[status(thm)],[f12])).
% 1.80/1.58 thf(f12,plain,(
% 1.80/1.58 ( ! [X0 : $i > $i] : (((sF0 @ X0) != sF1)) )),
% 1.80/1.58 inference(definition_folding,[status(thm)],[f9,f11,f10])).
% 1.80/1.58 thf(f9,plain,(
% 1.80/1.58 ( ! [X0 : $i > $i] : (((^[Y0 : $i]: (X0 @ (g @ Y0))) != (^[Y0 : $i]: (Y0)))) )),
% 1.80/1.58 inference(cnf_transformation,[status(thm)],[f7])).
% 1.80/1.58 % SZS output end Proof for DTF2THF_30550
% 1.80/1.58 % (30716)------------------------------
% 1.80/1.58 % (30716)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.58 % (30716)Termination reason: Refutation
% 1.80/1.58
% 1.80/1.58 % (30716)Memory used [KB]: 5500
% 1.80/1.58 % (30716)Time elapsed: 0.004 s
% 1.80/1.58 % (30716)Instructions burned: 2 (million)
% 1.80/1.58 % (30716)------------------------------
% 1.80/1.58 % (30716)------------------------------
% 1.80/1.58 % (30701)Success in time 0.05 s
%------------------------------------------------------------------------------