%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO884^1 : TPTP v9.2.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n029.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 09:54:59 AM UTC 2026
% Result : Unsatisfiable 1.58s 1.30s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 435 ( 32 equ; 0 cnn)
% Maximal formula atoms : 2 ( 33 avg)
% Number of connectives : 505 ( 20 ~; 10 |; 0 &; 473 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 156 ( 156 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 5 usr; 6 con; 0-6 aty)
% ( 2 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 95 ( 87 ^; 8 !; 0 ?; 95 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
f: $i > $i > $i > $i > $i > $i > $i ).
thf(func_def_14,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f16,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f15]) ).
thf(f15,plain,
( ( f @ a @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) ),
inference(beta_eta_normalization,[status(thm)],[f14]) ).
thf(f14,plain,
( ( f @ a @ c @ c @ c @ c @ c )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i,Y10: $i,Y11: $i] :
( f
@ ( ^ [Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i,Y18: $i,Y19: $i,Y20: $i,Y21: $i,Y22: $i,Y23: $i] : Y13
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8
@ Y9
@ Y10
@ Y11 )
@ ( ^ [Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i,Y18: $i,Y19: $i,Y20: $i,Y21: $i,Y22: $i,Y23: $i] : Y12
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8
@ Y9
@ Y10
@ Y11 )
@ ( ^ [Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i,Y18: $i,Y19: $i,Y20: $i,Y21: $i,Y22: $i,Y23: $i] : Y14
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8
@ Y9
@ Y10
@ Y11 )
@ ( ^ [Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i,Y18: $i,Y19: $i,Y20: $i,Y21: $i,Y22: $i,Y23: $i] : Y14
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8
@ Y9
@ Y10
@ Y11 )
@ ( ^ [Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i,Y18: $i,Y19: $i,Y20: $i,Y21: $i,Y22: $i,Y23: $i] : Y14
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8
@ Y9
@ Y10
@ Y11 )
@ ( ^ [Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i,Y18: $i,Y19: $i,Y20: $i,Y21: $i,Y22: $i,Y23: $i] : Y14
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8
@ Y9
@ Y10
@ Y11 ) )
@ c
@ a
@ c
@ c
@ c
@ c
@ c
@ c
@ c
@ c
@ c
@ c ) ),
inference(equality_resolution,[status(thm)],[f13]) ).
thf(f13,plain,
! [X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( f @ b @ a @ c @ c @ c @ c )
!= ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( ( f @ a @ c @ c @ c @ c @ c )
!= ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f12]) ).
thf(f12,plain,
! [X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( $false
= ( ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
= ( f @ b @ a @ c @ c @ c @ c ) ) )
| ( ( f @ a @ c @ c @ c @ c @ c )
!= ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) ) ),
inference(not_proxy_clausification,[status(thm)],[f11]) ).
thf(f11,plain,
! [X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) )
= $true )
| ( ( f @ a @ c @ c @ c @ c @ c )
!= ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f8]) ).
thf(f8,plain,
! [X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
= ( f @ a @ c @ c @ c @ c @ c ) )
= $false )
| ( ( ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) )
= $true ) ),
inference(not_proxy_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
! [X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( $true
= ( ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) ) )
| ( ( ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f6]) ).
thf(f6,plain,
! [X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) )
| ( ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f5]) ).
thf(f5,plain,
! [X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ^ [Y0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( Y0 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) )
| ( ( Y0 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f4]) ).
thf(f4,plain,
( $true
= ( !! @ ( $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i )
@ ^ [Y0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( Y0 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) )
| ( ( Y0 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
thf(f3,plain,
( $true
= ( !! @ ( $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i )
@ ^ [Y0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( Y0 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) )
| ( ( Y0 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f1]) ).
thf(f1,axiom,
! [X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( X0 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) )
| ( ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.j6zHzrA9iC/DTF2THF_8168.p',ax) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO884^1 : TPTP v9.2.1. Released v7.5.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.33 % Computer : n029.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Tue Feb 24 14:50:29 EST 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.30/0.45 ---- Original DTF file ---
% 0.30/0.45 thf(spec,logic,$$dhol).
% 0.30/0.45 %------------------------------------------------------------------------------
% 0.30/0.45 % File : SYO884^1 : TPTP v9.2.1. Released v7.5.0.
% 0.30/0.45 % Domain : Syntactic
% 0.30/0.45 % Problem : Simplify formulas containing applied variables, large
% 0.30/0.45 % Version : Biased.
% 0.30/0.45 % English :
% 0.30/0.45
% 0.30/0.45 % Refs : [BB+19] Bentkamp et al. (2019), Superposition with Lambdas
% 0.30/0.45 % : [Ben21] Bentkamp (2021) Email to Geoff Sutcliffe
% 0.30/0.45 % Source : [Ben21]
% 0.30/0.45 % Names : prune_large.p [Ben21]
% 0.30/0.45
% 0.30/0.45 % Status : Unsatisfiable
% 0.30/0.45 % Rating : 1.00 v9.0.0, 0.85 v8.1.0, 0.82 v7.5.0
% 0.30/0.45 % Syntax : Number of formulae : 5 ( 0 unt; 4 typ; 0 def)
% 0.30/0.45 % Number of atoms : 2 ( 2 equ; 0 cnn)
% 0.30/0.45 % Maximal formula atoms : 2 ( 2 avg)
% 0.30/0.45 % Number of connectives : 39 ( 2 ~; 1 |; 0 &; 36 @)
% 0.30/0.45 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.30/0.45 % Maximal formula depth : 4 ( 4 avg)
% 0.30/0.45 % Number of types : 1 ( 0 usr)
% 0.30/0.45 % Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% 0.30/0.45 % Number of symbols : 5 ( 4 usr; 3 con; 0-6 aty)
% 0.30/0.45 % Number of variables : 1 ( 0 ^; 1 !; 0 ?; 1 :)
% 0.30/0.45 % SPC : TH0_UNS_EQU_NAR
% 0.30/0.45
% 0.30/0.45 % Comments : The trick here is to prune the arguments of F.
% 0.30/0.45 % : Biased because it was desiged for testing features in
% 0.30/0.45 % Zipperposition.
% 0.30/0.45 %------------------------------------------------------------------------------
% 0.30/0.45 thf(f,type,
% 0.30/0.45 f: $i > $i > $i > $i > $i > $i > $i ).
% 0.30/0.45
% 0.30/0.45 thf(a,type,
% 0.30/0.45 a: $i ).
% 0.30/0.45
% 0.30/0.45 thf(b,type,
% 0.30/0.45 b: $i ).
% 0.30/0.45
% 0.30/0.45 thf(c,type,
% 0.30/0.45 c: $i ).
% 0.30/0.45
% 0.30/0.45 thf(ax,axiom,
% 0.30/0.45 ! [F: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
% 0.30/0.45 ( ( ( F @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
% 0.30/0.45 != ( f @ b @ a @ c @ c @ c @ c ) )
% 0.30/0.45 | ( ( F @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
% 0.30/0.45 != ( f @ a @ c @ c @ c @ c @ c ) ) ) ).
% 0.30/0.45
% 0.30/0.45 %------------------------------------------------------------------------------
% 0.30/0.45 ------------------------
% 1.47/1.25 ---- Embedded in THF ---
% 1.47/1.25 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.47/1.25 %%% Generated on Tue Feb 24 14:50:30 EST 2026
% 1.47/1.25 %%% using '$$dhol' embedding, version 1.3.0.
% 1.47/1.25 %%% Logic specification used:
% 1.47/1.25 %%% thf(spec, logic, $$dhol).
% 1.47/1.25
% 1.47/1.25 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.j6zHzrA9iC/DTF2DTF8168.p
% See solution above
% 1.47/1.25 ------------------------
% 1.47/1.26 ---- Cleaned THF ---
% 1.47/1.26 thf(f,type,
% 1.47/1.26 f: $i > $i > $i > $i > $i > $i > $i ).
% 1.47/1.26
% 1.47/1.26 thf(a,type,
% 1.47/1.26 a: $i ).
% 1.47/1.26
% 1.47/1.26 thf(b,type,
% 1.47/1.26 b: $i ).
% 1.47/1.26
% 1.47/1.26 thf(c,type,
% 1.47/1.26 c: $i ).
% 1.47/1.26
% 1.47/1.26 thf(ax,axiom,
% 1.47/1.26 ! [F: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
% 1.47/1.26 ( ( ( F @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
% 1.47/1.26 != ( f @ b @ a @ c @ c @ c @ c ) )
% 1.47/1.26 | ( ( F @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
% 1.47/1.26 != ( f @ a @ c @ c @ c @ c @ c ) ) ) ).
% 1.47/1.26 ------------------------
% 1.47/1.27 % (8283)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_8168 for (3000ds/4Mi)
% 1.47/1.27 % (8283)Instruction limit reached!
% 1.47/1.27 % (8283)------------------------------
% 1.47/1.27 % (8283)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.27 % (8283)Termination reason: Unknown
% 1.47/1.27 % (8283)Termination phase: Saturation
% 1.47/1.27
% 1.47/1.27 % (8283)Memory used [KB]: 5500
% 1.47/1.27 % (8283)Time elapsed: 0.003 s
% 1.47/1.27 % (8283)Instructions burned: 5 (million)
% 1.47/1.27 % (8283)------------------------------
% 1.47/1.27 % (8283)------------------------------
% 1.47/1.27 % (8282)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_8168 for (3000ds/183Mi)
% 1.47/1.27 % (8288)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_8168 for (3000ds/18Mi)
% 1.47/1.28 % (8282)Refutation not found, incomplete strategy
% 1.47/1.28 % (8282)------------------------------
% 1.47/1.28 % (8282)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.28 % (8282)Termination reason: Refutation not found, incomplete strategy
% 1.47/1.28
% 1.47/1.28
% 1.47/1.28 % (8282)Memory used [KB]: 5628
% 1.47/1.28 % (8282)Time elapsed: 0.005 s
% 1.47/1.28 % (8282)Instructions burned: 13 (million)
% 1.47/1.28 % (8282)------------------------------
% 1.47/1.28 % (8282)------------------------------
% 1.47/1.28 % (8288)Instruction limit reached!
% 1.47/1.28 % (8288)------------------------------
% 1.47/1.28 % (8288)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.28 % (8288)Termination reason: Unknown
% 1.47/1.28 % (8288)Termination phase: Saturation
% 1.47/1.28
% 1.47/1.28 % (8288)Memory used [KB]: 5756
% 1.47/1.28 % (8288)Time elapsed: 0.006 s
% 1.47/1.28 % (8288)Instructions burned: 18 (million)
% 1.47/1.28 % (8288)------------------------------
% 1.47/1.28 % (8288)------------------------------
% 1.47/1.28 % (8284)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_8168 for (3000ds/27Mi)
% 1.47/1.28 % (8285)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_8168 for (3000ds/2Mi)
% 1.47/1.28 % (8287)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_8168 for (3000ds/275Mi)
% 1.47/1.28 % (8286)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_8168 for (3000ds/2Mi)
% 1.47/1.28 % (8287)Refutation not found, incomplete strategy
% 1.47/1.28 % (8287)------------------------------
% 1.47/1.28 % (8287)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.28 % (8287)Termination reason: Refutation not found, incomplete strategy
% 1.47/1.28
% 1.47/1.28 % (8285)Instruction limit reached!
% 1.47/1.28 % (8285)------------------------------
% 1.47/1.28 % (8285)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.28 % (8285)Termination reason: Unknown
% 1.47/1.28 % (8285)Termination phase: Saturation
% 1.47/1.28
% 1.47/1.28 % (8285)Memory used [KB]: 5373
% 1.47/1.28 % (8285)Time elapsed: 0.003 s
% 1.47/1.28 % (8285)Instructions burned: 2 (million)
% 1.47/1.28 % (8285)------------------------------
% 1.47/1.28 % (8285)------------------------------
% 1.47/1.28 % (8286)Instruction limit reached!
% 1.47/1.28 % (8286)------------------------------
% 1.47/1.28 % (8286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.28 % (8286)Termination reason: Unknown
% 1.47/1.28 % (8286)Termination phase: Property scanning
% 1.47/1.28
% 1.47/1.28 % (8286)Memory used [KB]: 895
% 1.47/1.28 % (8286)Time elapsed: 0.003 s
% 1.47/1.28 % (8286)Instructions burned: 2 (million)
% 1.47/1.28 % (8286)------------------------------
% 1.47/1.28 % (8286)------------------------------
% 1.47/1.28
% 1.47/1.28 % (8287)Memory used [KB]: 5373
% 1.47/1.28 % (8287)Time elapsed: 0.003 s
% 1.47/1.28 % (8287)------------------------------
% 1.47/1.28 % (8287)------------------------------
% 1.47/1.28 % (8284)Refutation not found, incomplete strategy
% 1.47/1.28 % (8284)------------------------------
% 1.47/1.28 % (8284)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.28 % (8284)Termination reason: Refutation not found, incomplete strategy
% 1.47/1.28
% 1.47/1.28
% 1.47/1.28 % (8284)Memory used [KB]: 5500
% 1.47/1.28 % (8284)Time elapsed: 0.003 s
% 1.47/1.28 % (8284)Instructions burned: 1 (million)
% 1.47/1.28 % (8284)------------------------------
% 1.47/1.28 % (8284)------------------------------
% 1.47/1.28 % (8289)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_8168 for (2999ds/3Mi)
% 1.47/1.28 % (8289)Instruction limit reached!
% 1.47/1.28 % (8289)------------------------------
% 1.47/1.28 % (8289)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.28 % (8289)Termination reason: Unknown
% 1.47/1.28 % (8289)Termination phase: Saturation
% 1.47/1.28
% 1.47/1.28 % (8289)Memory used [KB]: 5500
% 1.47/1.28 % (8289)Time elapsed: 0.002 s
% 1.47/1.28 % (8289)Instructions burned: 4 (million)
% 1.47/1.28 % (8289)------------------------------
% 1.47/1.28 % (8289)------------------------------
% 1.47/1.29 % (8290)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_8168 for (2999ds/37Mi)
% 1.47/1.29 % (8291)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_8168 for (2999ds/15Mi)
% 1.47/1.29 % (8291)Refutation not found, incomplete strategy
% 1.47/1.29 % (8291)------------------------------
% 1.47/1.29 % (8291)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.29 % (8291)Termination reason: Refutation not found, incomplete strategy
% 1.47/1.29
% 1.47/1.29
% 1.47/1.29 % (8291)Memory used [KB]: 5373
% 1.47/1.29 % (8291)Time elapsed: 0.002 s
% 1.47/1.29 % (8291)Instructions burned: 1 (million)
% 1.47/1.29 % (8291)------------------------------
% 1.47/1.29 % (8291)------------------------------
% 1.47/1.29 % (8296)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_8168 for (2999ds/3Mi)
% 1.47/1.29 % (8296)Refutation not found, incomplete strategy
% 1.47/1.29 % (8296)------------------------------
% 1.47/1.29 % (8296)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.29 % (8296)Termination reason: Refutation not found, incomplete strategy
% 1.47/1.29
% 1.47/1.29
% 1.47/1.29 % (8296)Memory used [KB]: 5500
% 1.47/1.29 % (8296)Time elapsed: 0.001 s
% 1.47/1.29 % (8296)Instructions burned: 1 (million)
% 1.47/1.29 % (8296)------------------------------
% 1.47/1.29 % (8296)------------------------------
% 1.47/1.29 % (8290)First to succeed.
% 1.58/1.30 % (8290)Refutation found. Thanks to Tanya!
% 1.58/1.30 % SZS status Unsatisfiable for DTF2THF_8168
% 1.58/1.30 % SZS output start Proof for DTF2THF_8168
% 1.58/1.30 thf(func_def_0, type, f: $i > $i > $i > $i > $i > $i > $i).
% 1.58/1.30 thf(func_def_14, type, ph1: !>[X0: $tType]:(X0)).
% 1.58/1.30 thf(f16,plain,(
% 1.58/1.30 $false),
% 1.58/1.30 inference(trivial_inequality_removal,[status(thm)],[f15])).
% 1.58/1.30 thf(f15,plain,(
% 1.58/1.30 ((f @ a @ c @ c @ c @ c @ c) != (f @ a @ c @ c @ c @ c @ c))),
% 1.58/1.30 inference(beta_eta_normalization,[status(thm)],[f14])).
% 1.58/1.30 thf(f14,plain,(
% 1.58/1.30 ((f @ a @ c @ c @ c @ c @ c) != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (f @ ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: ((^[Y18 : $i]: ((^[Y19 : $i]: ((^[Y20 : $i]: ((^[Y21 : $i]: ((^[Y22 : $i]: ((^[Y23 : $i]: (Y13)))))))))))))))))))))))) @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 @ Y10 @ Y11) @ ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: ((^[Y18 : $i]: ((^[Y19 : $i]: ((^[Y20 : $i]: ((^[Y21 : $i]: ((^[Y22 : $i]: ((^[Y23 : $i]: (Y12)))))))))))))))))))))))) @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 @ Y10 @ Y11) @ ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: ((^[Y18 : $i]: ((^[Y19 : $i]: ((^[Y20 : $i]: ((^[Y21 : $i]: ((^[Y22 : $i]: ((^[Y23 : $i]: (Y14)))))))))))))))))))))))) @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 @ Y10 @ Y11) @ ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: ((^[Y18 : $i]: ((^[Y19 : $i]: ((^[Y20 : $i]: ((^[Y21 : $i]: ((^[Y22 : $i]: ((^[Y23 : $i]: (Y14)))))))))))))))))))))))) @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 @ Y10 @ Y11) @ ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: ((^[Y18 : $i]: ((^[Y19 : $i]: ((^[Y20 : $i]: ((^[Y21 : $i]: ((^[Y22 : $i]: ((^[Y23 : $i]: (Y14)))))))))))))))))))))))) @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 @ Y10 @ Y11) @ ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: ((^[Y18 : $i]: ((^[Y19 : $i]: ((^[Y20 : $i]: ((^[Y21 : $i]: ((^[Y22 : $i]: ((^[Y23 : $i]: (Y14)))))))))))))))))))))))) @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 @ Y10 @ Y11))))))))))))))))))))))))) @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c))),
% 1.58/1.30 inference(equality_resolution,[status(thm)],[f13])).
% 1.58/1.30 thf(f13,plain,(
% 1.58/1.30 ( ! [X1 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] : (((f @ b @ a @ c @ c @ c @ c) != (X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c)) | ((f @ a @ c @ c @ c @ c @ c) != (X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c))) )),
% 1.58/1.30 inference(equality_proxy_clausification,[status(thm)],[f12])).
% 1.58/1.30 thf(f12,plain,(
% 1.58/1.30 ( ! [X1 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] : (($false = ((X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c) = (f @ b @ a @ c @ c @ c @ c))) | ((f @ a @ c @ c @ c @ c @ c) != (X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c))) )),
% 1.58/1.30 inference(not_proxy_clausification,[status(thm)],[f11])).
% 1.58/1.30 thf(f11,plain,(
% 1.58/1.30 ( ! [X1 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] : (((~ ((X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c) = (f @ b @ a @ c @ c @ c @ c))) = $true) | ((f @ a @ c @ c @ c @ c @ c) != (X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c))) )),
% 1.58/1.30 inference(equality_proxy_clausification,[status(thm)],[f8])).
% 1.58/1.30 thf(f8,plain,(
% 1.58/1.30 ( ! [X1 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] : ((((X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c) = (f @ a @ c @ c @ c @ c @ c)) = $false) | ((~ ((X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c) = (f @ b @ a @ c @ c @ c @ c))) = $true)) )),
% 1.58/1.30 inference(not_proxy_clausification,[status(thm)],[f7])).
% 1.58/1.30 thf(f7,plain,(
% 1.58/1.30 ( ! [X1 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] : (($true = (~ ((X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c) = (f @ a @ c @ c @ c @ c @ c)))) | ((~ ((X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c) = (f @ b @ a @ c @ c @ c @ c))) = $true)) )),
% 1.58/1.30 inference(binary_proxy_clausification,[status(thm)],[f6])).
% 1.58/1.30 thf(f6,plain,(
% 1.58/1.30 ( ! [X1 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] : ((((~ ((X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c) = (f @ a @ c @ c @ c @ c @ c))) | (~ ((X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c) = (f @ b @ a @ c @ c @ c @ c)))) = $true)) )),
% 1.58/1.30 inference(beta_eta_normalization,[status(thm)],[f5])).
% 1.58/1.30 thf(f5,plain,(
% 1.58/1.30 ( ! [X1 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] : ((((^[Y0 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i]: ((~ ((Y0 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c) = (f @ a @ c @ c @ c @ c @ c))) | (~ ((Y0 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c) = (f @ b @ a @ c @ c @ c @ c))))) @ X1) = $true)) )),
% 1.58/1.30 inference(pi_clausification,[status(thm)],[f4])).
% 1.58/1.30 thf(f4,plain,(
% 1.58/1.30 ($true = (!! @ ($i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i) @ (^[Y0 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i]: ((~ ((Y0 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c) = (f @ a @ c @ c @ c @ c @ c))) | (~ ((Y0 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c) = (f @ b @ a @ c @ c @ c @ c)))))))),
% 1.58/1.30 inference(cnf_transformation,[status(thm)],[f3])).
% 1.58/1.30 thf(f3,plain,(
% 1.58/1.30 ($true = (!! @ ($i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i) @ (^[Y0 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i]: ((~ ((Y0 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c) = (f @ a @ c @ c @ c @ c @ c))) | (~ ((Y0 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c) = (f @ b @ a @ c @ c @ c @ c)))))))),
% 1.58/1.30 inference(fool_elimination,[status(thm)],[f1])).
% 1.58/1.30 thf(f1,axiom,(
% 1.58/1.30 ! [X0 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] : (((X0 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c) != (f @ b @ a @ c @ c @ c @ c)) | ((X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c) != (f @ a @ c @ c @ c @ c @ c)))),
% 1.58/1.30 file('/export/starexec/sandbox2/tmp/tmp.j6zHzrA9iC/DTF2THF_8168.p',ax)).
% 1.58/1.30 % SZS output end Proof for DTF2THF_8168
% 1.58/1.30 % (8290)------------------------------
% 1.58/1.30 % (8290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.30 % (8290)Termination reason: Refutation
% 1.58/1.30
% 1.58/1.30 % (8290)Memory used [KB]: 5884
% 1.58/1.30 % (8290)Time elapsed: 0.009 s
% 1.58/1.30 % (8290)Instructions burned: 22 (million)
% 1.58/1.30 % (8290)------------------------------
% 1.58/1.30 % (8290)------------------------------
% 1.58/1.30 % (8281)Success in time 0.041 s
%------------------------------------------------------------------------------