%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO883^1 : TPTP v9.2.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n018.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 1.20s 1.07s
% Output : Refutation 1.20s
% 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 : 372 ( 32 equ; 0 cnn)
% Maximal formula atoms : 2 ( 28 avg)
% Number of connectives : 424 ( 20 ~; 10 |; 0 &; 392 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 117 ( 117 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 5 usr; 6 con; 0-6 aty)
% ( 2 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 74 ( 66 ^; 8 !; 0 ?; 74 :)
% 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] :
( f
@ ( ^ [Y9: $i,Y10: $i,Y11: $i,Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i] : Y10
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8 )
@ ( ^ [Y9: $i,Y10: $i,Y11: $i,Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i] : Y9
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8 )
@ ( ^ [Y9: $i,Y10: $i,Y11: $i,Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i] : Y11
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8 )
@ ( ^ [Y9: $i,Y10: $i,Y11: $i,Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i] : Y11
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8 )
@ ( ^ [Y9: $i,Y10: $i,Y11: $i,Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i] : Y11
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8 )
@ ( ^ [Y9: $i,Y10: $i,Y11: $i,Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i] : Y11
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8 ) )
@ c
@ a
@ 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] :
( ( ( f @ b @ a @ c @ c @ c @ c )
!= ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c ) )
| ( ( f @ a @ c @ c @ c @ c @ c )
!= ( X1 @ c @ a @ 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] :
( ( ( ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c )
= ( f @ b @ a @ c @ c @ c @ c ) )
= $false )
| ( ( f @ a @ c @ c @ c @ c @ c )
!= ( X1 @ c @ a @ 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] :
( ( ( ( X1 @ a @ b @ 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 ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f8]) ).
thf(f8,plain,
! [X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( $false
= ( ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c )
= ( f @ a @ c @ c @ c @ c @ c ) ) )
| ( ( ( X1 @ a @ b @ 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] :
( ( ( ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) )
= $true )
| ( ( ( X1 @ a @ b @ 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] :
( $true
= ( ( ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) )
| ( ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f5]) ).
thf(f5,plain,
! [X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( $true
= ( ^ [Y0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( Y0 @ a @ b @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) )
| ( ( Y0 @ c @ a @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f4]) ).
thf(f4,plain,
( ( !! @ ( $i > $i > $i > $i > $i > $i > $i > $i > $i > $i )
@ ^ [Y0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( Y0 @ a @ b @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) )
| ( ( Y0 @ c @ a @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f3]) ).
thf(f3,plain,
( ( !! @ ( $i > $i > $i > $i > $i > $i > $i > $i > $i > $i )
@ ^ [Y0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( Y0 @ a @ b @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) )
| ( ( Y0 @ c @ a @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f1]) ).
thf(f1,axiom,
! [X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) )
| ( ( X0 @ a @ b @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) ) ),
file('/export/starexec/sandbox/tmp/tmp.31ojWDMVdF/DTF2THF_11965.p',ax) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYO883^1 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.29 % Computer : n018.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Tue Feb 24 14:50:00 EST 2026
% 0.11/0.30 % CPUTime :
% 0.11/0.30 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.36 ---- Original DTF file ---
% 0.18/0.36 thf(spec,logic,$$dhol).
% 0.18/0.36 %------------------------------------------------------------------------------
% 0.18/0.36 % File : SYO883^1 : TPTP v9.2.1. Released v7.5.0.
% 0.18/0.36 % Domain : Syntactic
% 0.18/0.36 % Problem : Simplify formulas containing applied variables, small
% 0.18/0.36 % Version : Biased.
% 0.18/0.36 % English :
% 0.18/0.36
% 0.18/0.36 % Refs : [BB+19] Bentkamp et al. (2019), Superposition with Lambdas
% 0.18/0.36 % : [Ben21] Bentkamp (2021) Email to Geoff Sutcliffe
% 0.18/0.36 % Source : [Ben21]
% 0.18/0.36 % Names : prune_small.p [Ben21]
% 0.18/0.36
% 0.18/0.36 % Status : Unsatisfiable
% 0.18/0.36 % Rating : 0.67 v9.1.0, 0.33 v9.0.0, 0.69 v8.2.0, 0.77 v8.1.0, 0.73 v7.5.0
% 0.18/0.36 % Syntax : Number of formulae : 5 ( 0 unt; 4 typ; 0 def)
% 0.18/0.36 % Number of atoms : 2 ( 2 equ; 0 cnn)
% 0.18/0.36 % Maximal formula atoms : 2 ( 2 avg)
% 0.18/0.36 % Number of connectives : 33 ( 2 ~; 1 |; 0 &; 30 @)
% 0.18/0.36 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.18/0.36 % Maximal formula depth : 4 ( 4 avg)
% 0.18/0.36 % Number of types : 1 ( 0 usr)
% 0.18/0.36 % Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% 0.18/0.36 % Number of symbols : 5 ( 4 usr; 3 con; 0-6 aty)
% 0.18/0.36 % Number of variables : 1 ( 0 ^; 1 !; 0 ?; 1 :)
% 0.18/0.36 % SPC : TH0_UNS_EQU_NAR
% 0.18/0.36
% 0.18/0.36 % Comments : The trick here is to prune the arguments of F.
% 0.18/0.36 % : Biased because it was desiged for testing features in
% 0.18/0.36 % Zipperposition.
% 0.18/0.36 %------------------------------------------------------------------------------
% 0.18/0.36 thf(f,type,
% 0.18/0.36 f: $i > $i > $i > $i > $i > $i > $i ).
% 0.18/0.36
% 0.18/0.36 thf(a,type,
% 0.18/0.36 a: $i ).
% 0.18/0.36
% 0.18/0.36 thf(b,type,
% 0.18/0.36 b: $i ).
% 0.18/0.36
% 0.18/0.36 thf(c,type,
% 0.18/0.36 c: $i ).
% 0.18/0.36
% 0.18/0.36 thf(ax,axiom,
% 0.18/0.36 ! [F: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
% 0.18/0.36 ( ( ( F @ a @ b @ c @ c @ c @ c @ c @ c @ c )
% 0.18/0.36 != ( f @ b @ a @ c @ c @ c @ c ) )
% 0.18/0.36 | ( ( F @ c @ a @ c @ c @ c @ c @ c @ c @ c )
% 0.18/0.36 != ( f @ a @ c @ c @ c @ c @ c ) ) ) ).
% 0.18/0.36
% 0.18/0.36 %------------------------------------------------------------------------------
% 0.18/0.36 ------------------------
% 0.98/1.01 ---- Embedded in THF ---
% 0.98/1.01 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 0.98/1.01 %%% Generated on Tue Feb 24 14:50:01 EST 2026
% 0.98/1.01 %%% using '$$dhol' embedding, version 1.3.0.
% 0.98/1.01 %%% Logic specification used:
% 0.98/1.01 %%% thf(spec, logic, $$dhol).
% 0.98/1.01
% 0.98/1.01 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.31ojWDMVdF/DTF2DTF11965.p
% See solution above
% 0.98/1.02 ------------------------
% 0.98/1.02 ---- Cleaned THF ---
% 0.98/1.02 thf(f,type,
% 0.98/1.02 f: $i > $i > $i > $i > $i > $i > $i ).
% 0.98/1.02
% 0.98/1.02 thf(a,type,
% 0.98/1.02 a: $i ).
% 0.98/1.02
% 0.98/1.02 thf(b,type,
% 0.98/1.02 b: $i ).
% 0.98/1.02
% 0.98/1.02 thf(c,type,
% 0.98/1.02 c: $i ).
% 0.98/1.02
% 0.98/1.02 thf(ax,axiom,
% 0.98/1.02 ! [F: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
% 0.98/1.02 ( ( ( F @ a @ b @ c @ c @ c @ c @ c @ c @ c )
% 0.98/1.02 != ( f @ b @ a @ c @ c @ c @ c ) )
% 0.98/1.02 | ( ( F @ c @ a @ c @ c @ c @ c @ c @ c @ c )
% 0.98/1.02 != ( f @ a @ c @ c @ c @ c @ c ) ) ) ).
% 0.98/1.02 ------------------------
% 1.20/1.03 % (12062)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_11965 for (3000ds/183Mi)
% 1.20/1.04 % (12062)Refutation not found, incomplete strategy
% 1.20/1.04 % (12062)------------------------------
% 1.20/1.04 % (12062)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.20/1.04 % (12062)Termination reason: Refutation not found, incomplete strategy
% 1.20/1.04
% 1.20/1.04
% 1.20/1.04 % (12062)Memory used [KB]: 5628
% 1.20/1.04 % (12062)Time elapsed: 0.004 s
% 1.20/1.04 % (12062)Instructions burned: 8 (million)
% 1.20/1.04 % (12062)------------------------------
% 1.20/1.04 % (12062)------------------------------
% 1.20/1.04 % (12066)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_11965 for (3000ds/2Mi)
% 1.20/1.04 % (12064)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_11965 for (3000ds/27Mi)
% 1.20/1.04 % (12063)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_11965 for (3000ds/4Mi)
% 1.20/1.04 % (12065)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_11965 for (3000ds/2Mi)
% 1.20/1.04 % (12067)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_11965 for (3000ds/275Mi)
% 1.20/1.04 % (12068)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_11965 for (3000ds/18Mi)
% 1.20/1.04 % (12066)Instruction limit reached!
% 1.20/1.04 % (12066)------------------------------
% 1.20/1.04 % (12066)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.20/1.04 % (12066)Termination reason: Unknown
% 1.20/1.04 % (12066)Termination phase: Saturation
% 1.20/1.04
% 1.20/1.04 % (12066)Memory used [KB]: 895
% 1.20/1.04 % (12067)Refutation not found, incomplete strategy
% 1.20/1.04 % (12067)------------------------------
% 1.20/1.04 % (12067)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.20/1.04 % (12067)Termination reason: Refutation not found, incomplete strategy
% 1.20/1.04
% 1.20/1.04
% 1.20/1.04 % (12067)Memory used [KB]: 5373
% 1.20/1.04 % (12067)Time elapsed: 0.002 s
% 1.20/1.04 % (12067)Instructions burned: 1 (million)
% 1.20/1.04 % (12067)------------------------------
% 1.20/1.04 % (12067)------------------------------
% 1.20/1.04 % (12066)Time elapsed: 0.002 s
% 1.20/1.04 % (12066)Instructions burned: 2 (million)
% 1.20/1.04 % (12066)------------------------------
% 1.20/1.04 % (12066)------------------------------
% 1.20/1.04 % (12064)Refutation not found, incomplete strategy
% 1.20/1.04 % (12064)------------------------------
% 1.20/1.04 % (12064)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.20/1.04 % (12065)Refutation not found, incomplete strategy
% 1.20/1.04 % (12065)------------------------------
% 1.20/1.04 % (12065)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.20/1.04 % (12065)Termination reason: Refutation not found, incomplete strategy
% 1.20/1.04
% 1.20/1.04
% 1.20/1.04 % (12065)Memory used [KB]: 5500
% 1.20/1.04 % (12065)Time elapsed: 0.002 s
% 1.20/1.04 % (12065)Instructions burned: 1 (million)
% 1.20/1.04 % (12065)------------------------------
% 1.20/1.04 % (12065)------------------------------
% 1.20/1.04 % (12064)Termination reason: Refutation not found, incomplete strategy
% 1.20/1.04
% 1.20/1.04
% 1.20/1.04 % (12064)Memory used [KB]: 5500
% 1.20/1.04 % (12064)Time elapsed: 0.002 s
% 1.20/1.04 % (12064)Instructions burned: 1 (million)
% 1.20/1.04 % (12064)------------------------------
% 1.20/1.04 % (12064)------------------------------
% 1.20/1.04 % (12063)Instruction limit reached!
% 1.20/1.04 % (12063)------------------------------
% 1.20/1.04 % (12063)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.20/1.04 % (12063)Termination reason: Unknown
% 1.20/1.04 % (12063)Termination phase: Saturation
% 1.20/1.04
% 1.20/1.04 % (12063)Memory used [KB]: 5500
% 1.20/1.04 % (12063)Time elapsed: 0.004 s
% 1.20/1.04 % (12063)Instructions burned: 5 (million)
% 1.20/1.04 % (12063)------------------------------
% 1.20/1.04 % (12063)------------------------------
% 1.20/1.05 % (12069)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_11965 for (2999ds/3Mi)
% 1.20/1.05 % (12069)Instruction limit reached!
% 1.20/1.05 % (12069)------------------------------
% 1.20/1.05 % (12069)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.20/1.05 % (12069)Termination reason: Unknown
% 1.20/1.05 % (12069)Termination phase: Saturation
% 1.20/1.05
% 1.20/1.05 % (12069)Memory used [KB]: 5500
% 1.20/1.05 % (12069)Time elapsed: 0.002 s
% 1.20/1.05 % (12069)Instructions burned: 3 (million)
% 1.20/1.05 % (12069)------------------------------
% 1.20/1.05 % (12069)------------------------------
% 1.20/1.05 % (12068)Instruction limit reached!
% 1.20/1.05 % (12068)------------------------------
% 1.20/1.05 % (12068)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.20/1.05 % (12068)Termination reason: Unknown
% 1.20/1.05 % (12068)Termination phase: Saturation
% 1.20/1.05
% 1.20/1.05 % (12068)Memory used [KB]: 5756
% 1.20/1.05 % (12068)Time elapsed: 0.010 s
% 1.20/1.05 % (12068)Instructions burned: 20 (million)
% 1.20/1.05 % (12068)------------------------------
% 1.20/1.05 % (12068)------------------------------
% 1.20/1.06 % (12070)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_11965 for (2999ds/37Mi)
% 1.20/1.06 % (12071)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_11965 for (2999ds/15Mi)
% 1.20/1.06 % (12073)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_11965 for (2999ds/1041Mi)
% 1.20/1.06 % (12071)Refutation not found, incomplete strategy
% 1.20/1.06 % (12071)------------------------------
% 1.20/1.06 % (12071)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.20/1.06 % (12071)Termination reason: Refutation not found, incomplete strategy
% 1.20/1.06
% 1.20/1.06
% 1.20/1.06 % (12071)Memory used [KB]: 5373
% 1.20/1.06 % (12071)Time elapsed: 0.002 s
% 1.20/1.06 % (12071)Instructions burned: 1 (million)
% 1.20/1.06 % (12071)------------------------------
% 1.20/1.06 % (12071)------------------------------
% 1.20/1.06 % (12074)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_11965 for (2999ds/7Mi)
% 1.20/1.06 % (12072)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_11965 for (2999ds/3Mi)
% 1.20/1.06 % (12072)Instruction limit reached!
% 1.20/1.06 % (12072)------------------------------
% 1.20/1.06 % (12072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.20/1.06 % (12072)Termination reason: Unknown
% 1.20/1.06 % (12072)Termination phase: Saturation
% 1.20/1.06
% 1.20/1.06 % (12072)Memory used [KB]: 5500
% 1.20/1.06 % (12072)Time elapsed: 0.003 s
% 1.20/1.06 % (12072)Instructions burned: 3 (million)
% 1.20/1.06 % (12072)------------------------------
% 1.20/1.06 % (12072)------------------------------
% 1.20/1.06 % (12074)Instruction limit reached!
% 1.20/1.06 % (12074)------------------------------
% 1.20/1.06 % (12074)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.20/1.06 % (12074)Termination reason: Unknown
% 1.20/1.06 % (12074)Termination phase: Saturation
% 1.20/1.06
% 1.20/1.06 % (12074)Memory used [KB]: 1151
% 1.20/1.06 % (12075)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_11965 for (2999ds/16Mi)
% 1.20/1.06 % (12074)Time elapsed: 0.005 s
% 1.20/1.06 % (12074)Instructions burned: 8 (million)
% 1.20/1.06 % (12074)------------------------------
% 1.20/1.06 % (12074)------------------------------
% 1.20/1.06 % (12073)Refutation not found, incomplete strategy
% 1.20/1.06 % (12073)------------------------------
% 1.20/1.06 % (12073)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.20/1.06 % (12073)Termination reason: Refutation not found, incomplete strategy
% 1.20/1.06
% 1.20/1.06
% 1.20/1.06 % (12073)Memory used [KB]: 5500
% 1.20/1.06 % (12073)Time elapsed: 0.007 s
% 1.20/1.06 % (12073)Instructions burned: 12 (million)
% 1.20/1.06 % (12073)------------------------------
% 1.20/1.06 % (12073)------------------------------
% 1.20/1.06 % (12070)First to succeed.
% 1.20/1.07 % (12076)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_11965 for (2999ds/3Mi)
% 1.20/1.07 % (12076)Refutation not found, incomplete strategy
% 1.20/1.07 % (12076)------------------------------
% 1.20/1.07 % (12076)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.20/1.07 % (12076)Termination reason: Refutation not found, incomplete strategy
% 1.20/1.07
% 1.20/1.07
% 1.20/1.07 % (12076)Memory used [KB]: 5500
% 1.20/1.07 % (12076)Time elapsed: 0.002 s
% 1.20/1.07 % (12070)Refutation found. Thanks to Tanya!
% 1.20/1.07 % SZS status Unsatisfiable for DTF2THF_11965
% 1.20/1.07 % SZS output start Proof for DTF2THF_11965
% 1.20/1.07 thf(func_def_0, type, f: $i > $i > $i > $i > $i > $i > $i).
% 1.20/1.07 thf(func_def_14, type, ph1: !>[X0: $tType]:(X0)).
% 1.20/1.07 thf(f16,plain,(
% 1.20/1.07 $false),
% 1.20/1.07 inference(trivial_inequality_removal,[status(thm)],[f15])).
% 1.20/1.07 thf(f15,plain,(
% 1.20/1.07 ((f @ a @ c @ c @ c @ c @ c) != (f @ a @ c @ c @ c @ c @ c))),
% 1.20/1.07 inference(beta_eta_normalization,[status(thm)],[f14])).
% 1.20/1.07 thf(f14,plain,(
% 1.20/1.07 ((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]: (f @ ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: (Y10)))))))))))))))))) @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8) @ ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: (Y9)))))))))))))))))) @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8) @ ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: (Y11)))))))))))))))))) @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8) @ ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: (Y11)))))))))))))))))) @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8) @ ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: (Y11)))))))))))))))))) @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8) @ ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: (Y11)))))))))))))))))) @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8))))))))))))))))))) @ c @ a @ c @ c @ c @ c @ c @ c @ c))),
% 1.20/1.07 inference(equality_resolution,[status(thm)],[f13])).
% 1.20/1.07 thf(f13,plain,(
% 1.20/1.07 ( ! [X1 : $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)) | ((f @ a @ c @ c @ c @ c @ c) != (X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c))) )),
% 1.20/1.07 inference(equality_proxy_clausification,[status(thm)],[f12])).
% 1.20/1.07 thf(f12,plain,(
% 1.20/1.07 ( ! [X1 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] : ((((X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c) = (f @ b @ a @ c @ c @ c @ c)) = $false) | ((f @ a @ c @ c @ c @ c @ c) != (X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c))) )),
% 1.20/1.07 inference(not_proxy_clausification,[status(thm)],[f11])).
% 1.20/1.07 thf(f11,plain,(
% 1.20/1.07 ( ! [X1 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] : (((~ ((X1 @ a @ b @ 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))) )),
% 1.20/1.07 inference(equality_proxy_clausification,[status(thm)],[f8])).
% 1.20/1.07 thf(f8,plain,(
% 1.20/1.07 ( ! [X1 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] : (($false = ((X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c) = (f @ a @ c @ c @ c @ c @ c))) | ((~ ((X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c) = (f @ b @ a @ c @ c @ c @ c))) = $true)) )),
% 1.20/1.07 inference(not_proxy_clausification,[status(thm)],[f7])).
% 1.20/1.07 thf(f7,plain,(
% 1.20/1.07 ( ! [X1 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] : (((~ ((X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c) = (f @ a @ c @ c @ c @ c @ c))) = $true) | ((~ ((X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c) = (f @ b @ a @ c @ c @ c @ c))) = $true)) )),
% 1.20/1.07 inference(binary_proxy_clausification,[status(thm)],[f6])).
% 1.20/1.07 thf(f6,plain,(
% 1.20/1.07 ( ! [X1 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] : (($true = ((~ ((X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c) = (f @ b @ a @ c @ c @ c @ c))) | (~ ((X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c) = (f @ a @ c @ c @ c @ c @ c)))))) )),
% 1.20/1.07 inference(beta_eta_normalization,[status(thm)],[f5])).
% 1.20/1.07 thf(f5,plain,(
% 1.20/1.07 ( ! [X1 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] : (($true = ((^[Y0 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i]: ((~ ((Y0 @ a @ b @ c @ c @ c @ c @ c @ c @ c) = (f @ b @ a @ c @ c @ c @ c))) | (~ ((Y0 @ c @ a @ c @ c @ c @ c @ c @ c @ c) = (f @ a @ c @ c @ c @ c @ c))))) @ X1))) )),
% 1.20/1.07 inference(pi_clausification,[status(thm)],[f4])).
% 1.20/1.07 thf(f4,plain,(
% 1.20/1.07 ((!! @ ($i > $i > $i > $i > $i > $i > $i > $i > $i > $i) @ (^[Y0 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i]: ((~ ((Y0 @ a @ b @ c @ c @ c @ c @ c @ c @ c) = (f @ b @ a @ c @ c @ c @ c))) | (~ ((Y0 @ c @ a @ c @ c @ c @ c @ c @ c @ c) = (f @ a @ c @ c @ c @ c @ c)))))) = $true)),
% 1.20/1.07 inference(cnf_transformation,[status(thm)],[f3])).
% 1.20/1.07 thf(f3,plain,(
% 1.20/1.07 ((!! @ ($i > $i > $i > $i > $i > $i > $i > $i > $i > $i) @ (^[Y0 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i]: ((~ ((Y0 @ a @ b @ c @ c @ c @ c @ c @ c @ c) = (f @ b @ a @ c @ c @ c @ c))) | (~ ((Y0 @ c @ a @ c @ c @ c @ c @ c @ c @ c) = (f @ a @ c @ c @ c @ c @ c)))))) = $true)),
% 1.20/1.07 inference(fool_elimination,[status(thm)],[f1])).
% 1.20/1.07 thf(f1,axiom,(
% 1.20/1.07 ! [X0 : $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] : (((X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c) != (f @ a @ c @ c @ c @ c @ c)) | ((X0 @ a @ b @ c @ c @ c @ c @ c @ c @ c) != (f @ b @ a @ c @ c @ c @ c)))),
% 1.20/1.07 file('/export/starexec/sandbox/tmp/tmp.31ojWDMVdF/DTF2THF_11965.p',ax)).
% 1.20/1.07 % SZS output end Proof for DTF2THF_11965
% 1.20/1.07 % (12070)------------------------------
% 1.20/1.07 % (12070)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.20/1.07 % (12070)Termination reason: Refutation
% 1.20/1.07
% 1.20/1.07 % (12070)Memory used [KB]: 5628
% 1.20/1.07 % (12070)Time elapsed: 0.010 s
% 1.20/1.07 % (12070)Instructions burned: 14 (million)
% 1.20/1.07 % (12070)------------------------------
% 1.20/1.07 % (12070)------------------------------
% 1.20/1.07 % (12061)Success in time 0.037 s
%------------------------------------------------------------------------------