%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO885^1.055.005 : 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 : n031.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 09:55:01 AM UTC 2026
% Result : Theorem 2.05s 1.77s
% Output : Refutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 864 ( 77 equ; 0 cnn)
% Maximal formula atoms : 9 ( 66 avg)
% Number of connectives : 1033 ( 68 ~; 57 |; 8 &; 900 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 90 ( 90 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 6 con; 0-5 aty)
% Number of variables : 138 ( 120 ^; 16 !; 2 ?; 138 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_5,type,
f: $i > $i > $i > $i > $i > $i ).
thf(func_def_10,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f43,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f42]) ).
thf(f42,plain,
( ( a0 != a0 )
| ( a3 != a3 )
| ( ( f @ a0 @ a1 @ a3 @ a0 @ a3 )
!= ( f @ a0 @ a1 @ a3 @ a0 @ a3 ) )
| ( ( f @ a0 @ a2 @ a3 @ a4 @ a0 )
!= ( f @ a0 @ a2 @ a3 @ a4 @ a0 ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f41]) ).
thf(f41,plain,
( ( ( f @ a0 @ a2 @ a3 @ a4 @ a0 )
!= ( f @ a0 @ a2 @ a3 @ a4 @ a0 ) )
| ( a0 != a0 )
| ( ( f @ a0 @ a1 @ a3 @ a0 @ a3 )
!= ( f @ a0 @ a1 @ a3 @ a0 @ a3 ) )
| ( a3 != a3 )
| ( a0 != a0 )
| ( a0 != a0 ) ),
inference(beta_eta_normalization,[status(thm)],[f36]) ).
thf(f36,plain,
( ( a0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : a0
@ a1
@ a4
@ a0
@ a3
@ a2 ) )
| ( a0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : Y2
@ a1
@ a4
@ a0
@ a3
@ a2 ) )
| ( a3
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : Y2
@ a2
@ a4
@ a3
@ a0
@ a1 ) )
| ( a0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : a0
@ a2
@ a4
@ a3
@ a0
@ a1 ) )
| ( ( f @ a0 @ a2 @ a3 @ a4 @ a0 )
!= ( f
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : a0
@ a1
@ a2
@ a4
@ a3
@ a0 )
@ a2
@ a3
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : Y2
@ a1
@ a2
@ a4
@ a3
@ a0 )
@ a0 ) )
| ( ( f @ a0 @ a1 @ a3 @ a0 @ a3 )
!= ( f
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : a0
@ a2
@ a1
@ a0
@ a4
@ a3 )
@ a1
@ a3
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : Y2
@ a2
@ a1
@ a0
@ a4
@ a3 )
@ a3 ) ) ),
inference(equality_resolution,[status(thm)],[f17]) ).
thf(f17,plain,
! [X0: $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i] :
( ( ( f @ a0 @ a3 @ a3 @ a1 @ a4 )
!= ( f @ ( X0 @ a2 @ a3 @ a1 @ a0 @ a4 ) @ a3 @ a3 @ ( X1 @ a2 @ a3 @ a1 @ a0 @ a4 ) @ a4 ) )
| ( ( f @ a0 @ a1 @ a3 @ a0 @ a3 )
!= ( f @ ( X0 @ a2 @ a1 @ a0 @ a4 @ a3 ) @ a1 @ a3 @ ( X1 @ a2 @ a1 @ a0 @ a4 @ a3 ) @ a3 ) )
| ( a0
!= ( X0 @ a1 @ a4 @ a0 @ a3 @ a2 ) )
| ( a0
!= ( X0 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( a3
!= ( X1 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( ( f @ a0 @ a2 @ a3 @ a4 @ a0 )
!= ( f @ ( X0 @ a1 @ a2 @ a4 @ a3 @ a0 ) @ a2 @ a3 @ ( X1 @ a1 @ a2 @ a4 @ a3 @ a0 ) @ a0 ) )
| ( a0
!= ( X1 @ a1 @ a4 @ a0 @ a3 @ a2 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f16]) ).
thf(f16,plain,
! [X0: $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i] :
( ( a3
!= ( X1 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( a0
!= ( X0 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( ( f @ a0 @ a2 @ a3 @ a4 @ a0 )
!= ( f @ ( X0 @ a1 @ a2 @ a4 @ a3 @ a0 ) @ a2 @ a3 @ ( X1 @ a1 @ a2 @ a4 @ a3 @ a0 ) @ a0 ) )
| ( a0
!= ( X0 @ a1 @ a4 @ a0 @ a3 @ a2 ) )
| ( a1 != a1 )
| ( a0
!= ( X1 @ a1 @ a4 @ a0 @ a3 @ a2 ) )
| ( ( f @ a0 @ a1 @ a3 @ a0 @ a3 )
!= ( f @ ( X0 @ a2 @ a1 @ a0 @ a4 @ a3 ) @ a1 @ a3 @ ( X1 @ a2 @ a1 @ a0 @ a4 @ a3 ) @ a3 ) )
| ( a4 != a4 )
| ( ( f @ a0 @ a3 @ a3 @ a1 @ a4 )
!= ( f @ ( X0 @ a2 @ a3 @ a1 @ a0 @ a4 ) @ a3 @ a3 @ ( X1 @ a2 @ a3 @ a1 @ a0 @ a4 ) @ a4 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f10]) ).
thf(f10,plain,
! [X0: $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i] :
( ( ( f @ a0 @ a2 @ a3 @ a4 @ a0 )
!= ( f @ ( X0 @ a1 @ a2 @ a4 @ a3 @ a0 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : Y1
@ a1
@ a2
@ a4
@ a3
@ a0 )
@ a3
@ ( X1 @ a1 @ a2 @ a4 @ a3 @ a0 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : Y4
@ a1
@ a2
@ a4
@ a3
@ a0 ) ) )
| ( ( f @ a0 @ a3 @ a3 @ a1 @ a4 )
!= ( f @ ( X0 @ a2 @ a3 @ a1 @ a0 @ a4 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : Y1
@ a2
@ a3
@ a1
@ a0
@ a4 )
@ a3
@ ( X1 @ a2 @ a3 @ a1 @ a0 @ a4 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : Y4
@ a2
@ a3
@ a1
@ a0
@ a4 ) ) )
| ( a1
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : Y4
@ a2
@ a4
@ a3
@ a0
@ a1 ) )
| ( a0
!= ( X1 @ a1 @ a4 @ a0 @ a3 @ a2 ) )
| ( a0
!= ( X0 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( a4
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : Y1
@ a2
@ a4
@ a3
@ a0
@ a1 ) )
| ( a0
!= ( X0 @ a1 @ a4 @ a0 @ a3 @ a2 ) )
| ( a3
!= ( X1 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( ( f @ a0 @ a1 @ a3 @ a0 @ a3 )
!= ( f @ ( X0 @ a2 @ a1 @ a0 @ a4 @ a3 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : Y1
@ a2
@ a1
@ a0
@ a4
@ a3 )
@ a3
@ ( X1 @ a2 @ a1 @ a0 @ a4 @ a3 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : Y4
@ a2
@ a1
@ a0
@ a4
@ a3 ) ) ) ),
inference(equality_resolution,[status(thm)],[f8]) ).
thf(f8,plain,
! [X6: $i > $i > $i > $i > $i > $i,X7: $i > $i > $i > $i > $i > $i,X4: $i > $i > $i > $i > $i > $i,X5: $i > $i > $i > $i > $i > $i] :
( ( ( f @ a0 @ a4 @ a3 @ a0 @ a2 )
!= ( f @ ( X5 @ a1 @ a4 @ a0 @ a3 @ a2 ) @ ( X4 @ a1 @ a4 @ a0 @ a3 @ a2 ) @ a3 @ ( X7 @ a1 @ a4 @ a0 @ a3 @ a2 ) @ ( X6 @ a1 @ a4 @ a0 @ a3 @ a2 ) ) )
| ( a1
!= ( X6 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( a0
!= ( X5 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( a4
!= ( X4 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( a3
!= ( X7 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( ( f @ a0 @ a1 @ a3 @ a0 @ a3 )
!= ( f @ ( X5 @ a2 @ a1 @ a0 @ a4 @ a3 ) @ ( X4 @ a2 @ a1 @ a0 @ a4 @ a3 ) @ a3 @ ( X7 @ a2 @ a1 @ a0 @ a4 @ a3 ) @ ( X6 @ a2 @ a1 @ a0 @ a4 @ a3 ) ) )
| ( ( f @ a0 @ a3 @ a3 @ a1 @ a4 )
!= ( f @ ( X5 @ a2 @ a3 @ a1 @ a0 @ a4 ) @ ( X4 @ a2 @ a3 @ a1 @ a0 @ a4 ) @ a3 @ ( X7 @ a2 @ a3 @ a1 @ a0 @ a4 ) @ ( X6 @ a2 @ a3 @ a1 @ a0 @ a4 ) ) )
| ( ( f @ a0 @ a2 @ a3 @ a4 @ a0 )
!= ( f @ ( X5 @ a1 @ a2 @ a4 @ a3 @ a0 ) @ ( X4 @ a1 @ a2 @ a4 @ a3 @ a0 ) @ a3 @ ( X7 @ a1 @ a2 @ a4 @ a3 @ a0 ) @ ( X6 @ a1 @ a2 @ a4 @ a3 @ a0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f7]) ).
thf(f7,plain,
! [X6: $i > $i > $i > $i > $i > $i,X7: $i > $i > $i > $i > $i > $i,X4: $i > $i > $i > $i > $i > $i,X5: $i > $i > $i > $i > $i > $i] :
( ( ( f @ a0 @ a2 @ a3 @ a4 @ a0 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] :
( f @ ( X5 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 ) @ ( X4 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 )
@ ( ^ [Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a3
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4 )
@ ( X7 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 )
@ ( X6 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 ) )
@ a1
@ a2
@ a4
@ a3
@ a0 ) )
| ( ( f @ a0 @ a3 @ a3 @ a1 @ a4 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] :
( f @ ( X5 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 ) @ ( X4 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 )
@ ( ^ [Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a3
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4 )
@ ( X7 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 )
@ ( X6 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 ) )
@ a2
@ a3
@ a1
@ a0
@ a4 ) )
| ( a3
!= ( X7 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( ( f @ a0 @ a4 @ a3 @ a0 @ a2 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] :
( f @ ( X5 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 ) @ ( X4 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 )
@ ( ^ [Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a3
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4 )
@ ( X7 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 )
@ ( X6 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 ) )
@ a1
@ a4
@ a0
@ a3
@ a2 ) )
| ( a0
!= ( X5 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( a4
!= ( X4 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( ( f @ a0 @ a1 @ a3 @ a0 @ a3 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] :
( f @ ( X5 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 ) @ ( X4 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 )
@ ( ^ [Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a3
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4 )
@ ( X7 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 )
@ ( X6 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 ) )
@ a2
@ a1
@ a0
@ a4
@ a3 ) )
| ( a1
!= ( X6 @ a2 @ a4 @ a3 @ a0 @ a1 ) ) ),
inference(equality_resolution,[status(thm)],[f5]) ).
thf(f5,plain,
! [X0: $i > $i > $i > $i > $i > $i] :
( ( ( X0 @ a2 @ a4 @ a3 @ a0 @ a1 )
!= ( f @ a0 @ a4 @ a3 @ a3 @ a1 ) )
| ( ( X0 @ a1 @ a4 @ a0 @ a3 @ a2 )
!= ( f @ a0 @ a4 @ a3 @ a0 @ a2 ) )
| ( ( X0 @ a2 @ a1 @ a0 @ a4 @ a3 )
!= ( f @ a0 @ a1 @ a3 @ a0 @ a3 ) )
| ( ( X0 @ a1 @ a2 @ a4 @ a3 @ a0 )
!= ( f @ a0 @ a2 @ a3 @ a4 @ a0 ) )
| ( ( X0 @ a2 @ a3 @ a1 @ a0 @ a4 )
!= ( f @ a0 @ a3 @ a3 @ a1 @ a4 ) ) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
thf(f4,plain,
! [X0: $i > $i > $i > $i > $i > $i] :
( ( ( X0 @ a1 @ a4 @ a0 @ a3 @ a2 )
!= ( f @ a0 @ a4 @ a3 @ a0 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a4 @ a3 @ a0 )
!= ( f @ a0 @ a2 @ a3 @ a4 @ a0 ) )
| ( ( X0 @ a2 @ a3 @ a1 @ a0 @ a4 )
!= ( f @ a0 @ a3 @ a3 @ a1 @ a4 ) )
| ( ( X0 @ a2 @ a1 @ a0 @ a4 @ a3 )
!= ( f @ a0 @ a1 @ a3 @ a0 @ a3 ) )
| ( ( X0 @ a2 @ a4 @ a3 @ a0 @ a1 )
!= ( f @ a0 @ a4 @ a3 @ a3 @ a1 ) ) ),
inference(ennf_transformation,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X0: $i > $i > $i > $i > $i > $i] :
( ( ( X0 @ a2 @ a3 @ a1 @ a0 @ a4 )
= ( f @ a0 @ a3 @ a3 @ a1 @ a4 ) )
& ( ( X0 @ a2 @ a4 @ a3 @ a0 @ a1 )
= ( f @ a0 @ a4 @ a3 @ a3 @ a1 ) )
& ( ( X0 @ a1 @ a4 @ a0 @ a3 @ a2 )
= ( f @ a0 @ a4 @ a3 @ a0 @ a2 ) )
& ( ( X0 @ a2 @ a1 @ a0 @ a4 @ a3 )
= ( f @ a0 @ a1 @ a3 @ a0 @ a3 ) )
& ( ( X0 @ a1 @ a2 @ a4 @ a3 @ a0 )
= ( f @ a0 @ a2 @ a3 @ a4 @ a0 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
? [X0: $i > $i > $i > $i > $i > $i] :
( ( ( X0 @ a2 @ a3 @ a1 @ a0 @ a4 )
= ( f @ a0 @ a3 @ a3 @ a1 @ a4 ) )
& ( ( X0 @ a2 @ a4 @ a3 @ a0 @ a1 )
= ( f @ a0 @ a4 @ a3 @ a3 @ a1 ) )
& ( ( X0 @ a1 @ a4 @ a0 @ a3 @ a2 )
= ( f @ a0 @ a4 @ a3 @ a0 @ a2 ) )
& ( ( X0 @ a2 @ a1 @ a0 @ a4 @ a3 )
= ( f @ a0 @ a1 @ a3 @ a0 @ a3 ) )
& ( ( X0 @ a1 @ a2 @ a4 @ a3 @ a0 )
= ( f @ a0 @ a2 @ a3 @ a4 @ a0 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ukmf2ylKd3/DTF2THF_23196.p',goal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO885^1.055.005 : TPTP v9.2.1. Released v7.5.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.35 % Computer : n031.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Tue Feb 24 14:51:48 EST 2026
% 0.18/0.35 % CPUTime :
% 0.18/0.35 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.34/0.50 ---- Original DTF file ---
% 0.34/0.50 thf(spec,logic,$$dhol).
% 0.34/0.50 %------------------------------------------------------------------------------
% 0.34/0.50 % File : SYO885^1.055.005 : TPTP v9.2.1. Released v7.5.0.
% 0.34/0.50 % Domain : Syntactic
% 0.34/0.50 % Problem : Test higher-order unification procedure, 5,5,5
% 0.34/0.50 % Version : Biased.
% 0.34/0.50 % English :
% 0.34/0.50
% 0.34/0.50 % Refs : [VBN20] Vukmirovic et al. (2020), Efficient Full Higher-order
% 0.34/0.50 % : [Ben21] Bentkamp (2021) Email to Geoff Sutcliffe
% 0.34/0.50 % Source : [Ben21]
% 0.34/0.50 % Names : solid.5.5.5.p [Ben21]
% 0.34/0.50
% 0.34/0.50 % Status : Theorem
% 0.34/0.50 % Rating : 0.44 v9.1.0, 0.38 v9.0.0, 0.40 v8.2.0, 0.54 v8.1.0, 0.45 v7.5.0
% 0.34/0.50 % Syntax : Number of formulae : 7 ( 0 unt; 6 typ; 0 def)
% 0.34/0.50 % Number of atoms : 5 ( 5 equ; 0 cnn)
% 0.34/0.50 % Maximal formula atoms : 5 ( 5 avg)
% 0.34/0.50 % Number of connectives : 54 ( 0 ~; 0 |; 4 &; 50 @)
% 0.34/0.50 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.34/0.50 % Maximal formula depth : 6 ( 6 avg)
% 0.34/0.50 % Number of types : 1 ( 0 usr)
% 0.34/0.50 % Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% 0.34/0.50 % Number of symbols : 7 ( 6 usr; 5 con; 0-5 aty)
% 0.34/0.50 % Number of variables : 1 ( 0 ^; 0 !; 1 ?; 1 :)
% 0.34/0.50 % SPC : TH0_THM_EQU_NAR
% 0.34/0.50
% 0.34/0.50 % Comments : Possible solution: F -> ^[X0 : $i,X1 : $i,X2: $i,X3: $i,X4: $i] :
% 0.34/0.50 % f @ a0 @ X1 @ a3 @ X2 @ X4
% 0.34/0.50 % : Biased because it was desiged for testing features in
% 0.34/0.50 % Zipperposition.
% 0.34/0.50 %------------------------------------------------------------------------------
% 0.34/0.50 thf(a0_type,type,
% 0.34/0.50 a0: $i ).
% 0.34/0.50
% 0.34/0.50 thf(a1_type,type,
% 0.34/0.50 a1: $i ).
% 0.34/0.50
% 0.34/0.50 thf(a2_type,type,
% 0.34/0.50 a2: $i ).
% 0.34/0.50
% 0.34/0.50 thf(a3_type,type,
% 0.34/0.50 a3: $i ).
% 0.34/0.50
% 0.34/0.50 thf(a4_type,type,
% 0.34/0.50 a4: $i ).
% 0.34/0.50
% 0.34/0.50 thf(f_type,type,
% 0.34/0.50 f: $i > $i > $i > $i > $i > $i ).
% 0.34/0.50
% 0.34/0.50 thf(goal,conjecture,
% 0.34/0.50 ? [F: $i > $i > $i > $i > $i > $i] :
% 0.34/0.50 ( ( ( F @ a2 @ a4 @ a3 @ a0 @ a1 )
% 0.34/0.50 = ( f @ a0 @ a4 @ a3 @ a3 @ a1 ) )
% 0.34/0.50 & ( ( F @ a2 @ a3 @ a1 @ a0 @ a4 )
% 0.34/0.50 = ( f @ a0 @ a3 @ a3 @ a1 @ a4 ) )
% 0.34/0.50 & ( ( F @ a2 @ a1 @ a0 @ a4 @ a3 )
% 0.34/0.50 = ( f @ a0 @ a1 @ a3 @ a0 @ a3 ) )
% 0.34/0.50 & ( ( F @ a1 @ a4 @ a0 @ a3 @ a2 )
% 0.34/0.50 = ( f @ a0 @ a4 @ a3 @ a0 @ a2 ) )
% 0.34/0.50 & ( ( F @ a1 @ a2 @ a4 @ a3 @ a0 )
% 0.34/0.50 = ( f @ a0 @ a2 @ a3 @ a4 @ a0 ) ) ) ).
% 0.34/0.50
% 0.34/0.50 %------------------------------------------------------------------------------
% 0.34/0.50 ------------------------
% 1.92/1.66 ---- Embedded in THF ---
% 1.92/1.66 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.92/1.66 %%% Generated on Tue Feb 24 14:51:49 EST 2026
% 1.92/1.66 %%% using '$$dhol' embedding, version 1.3.0.
% 1.92/1.66 %%% Logic specification used:
% 1.92/1.66 %%% thf(spec, logic, $$dhol).
% 1.92/1.66
% 1.92/1.66 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.Ukmf2ylKd3/DTF2DTF23196.p
% See solution above
% 1.92/1.66 ------------------------
% 1.92/1.67 ---- Cleaned THF ---
% 1.92/1.68 thf(a0_type,type,
% 1.92/1.68 a0: $i ).
% 1.92/1.68
% 1.92/1.68 thf(a1_type,type,
% 1.92/1.68 a1: $i ).
% 1.92/1.68
% 1.92/1.68 thf(a2_type,type,
% 1.92/1.68 a2: $i ).
% 1.92/1.68
% 1.92/1.68 thf(a3_type,type,
% 1.92/1.68 a3: $i ).
% 1.92/1.68
% 1.92/1.68 thf(a4_type,type,
% 1.92/1.68 a4: $i ).
% 1.92/1.68
% 1.92/1.68 thf(f_type,type,
% 1.92/1.68 f: $i > $i > $i > $i > $i > $i ).
% 1.92/1.68
% 1.92/1.68 thf(goal,conjecture,
% 1.92/1.68 ? [F: $i > $i > $i > $i > $i > $i] :
% 1.92/1.68 ( ( ( F @ a2 @ a4 @ a3 @ a0 @ a1 )
% 1.92/1.68 = ( f @ a0 @ a4 @ a3 @ a3 @ a1 ) )
% 1.92/1.68 & ( ( F @ a2 @ a3 @ a1 @ a0 @ a4 )
% 1.92/1.68 = ( f @ a0 @ a3 @ a3 @ a1 @ a4 ) )
% 1.92/1.68 & ( ( F @ a2 @ a1 @ a0 @ a4 @ a3 )
% 1.92/1.68 = ( f @ a0 @ a1 @ a3 @ a0 @ a3 ) )
% 1.92/1.68 & ( ( F @ a1 @ a4 @ a0 @ a3 @ a2 )
% 1.92/1.68 = ( f @ a0 @ a4 @ a3 @ a0 @ a2 ) )
% 1.92/1.68 & ( ( F @ a1 @ a2 @ a4 @ a3 @ a0 )
% 1.92/1.68 = ( f @ a0 @ a2 @ a3 @ a4 @ a0 ) ) ) ).
% 1.92/1.68 ------------------------
% 2.05/1.70 % (23297)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_23196 for (2999ds/2Mi)
% 2.05/1.70 % (23293)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_23196 for (2999ds/183Mi)
% 2.05/1.70 % (23295)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_23196 for (2999ds/27Mi)
% 2.05/1.70 % (23296)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_23196 for (2999ds/2Mi)
% 2.05/1.70 % (23299)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_23196 for (2999ds/18Mi)
% 2.05/1.70 % (23294)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_23196 for (2999ds/4Mi)
% 2.05/1.70 % (23297)Instruction limit reached!
% 2.05/1.70 % (23297)------------------------------
% 2.05/1.70 % (23297)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.70 % (23297)Termination reason: Unknown
% 2.05/1.70 % (23297)Termination phase: Property scanning
% 2.05/1.70
% 2.05/1.70 % (23297)Memory used [KB]: 895
% 2.05/1.70 % (23297)Time elapsed: 0.003 s
% 2.05/1.70 % (23297)Instructions burned: 2 (million)
% 2.05/1.70 % (23297)------------------------------
% 2.05/1.70 % (23297)------------------------------
% 2.05/1.70 % (23298)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_23196 for (2999ds/275Mi)
% 2.05/1.70 % (23296)Refutation not found, incomplete strategy
% 2.05/1.70 % (23296)------------------------------
% 2.05/1.70 % (23296)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.70 % (23296)Termination reason: Refutation not found, incomplete strategy
% 2.05/1.70
% 2.05/1.70
% 2.05/1.70 % (23296)Memory used [KB]: 5500
% 2.05/1.70 % (23296)Time elapsed: 0.004 s
% 2.05/1.70 % (23296)Instructions burned: 1 (million)
% 2.05/1.70 % (23296)------------------------------
% 2.05/1.70 % (23296)------------------------------
% 2.05/1.70 % (23295)Refutation not found, incomplete strategy
% 2.05/1.70 % (23295)------------------------------
% 2.05/1.70 % (23295)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.70 % (23295)Termination reason: Refutation not found, incomplete strategy
% 2.05/1.70
% 2.05/1.70
% 2.05/1.70 % (23295)Memory used [KB]: 5500
% 2.05/1.70 % (23295)Time elapsed: 0.003 s
% 2.05/1.70 % (23295)Instructions burned: 2 (million)
% 2.05/1.70 % (23295)------------------------------
% 2.05/1.70 % (23295)------------------------------
% 2.05/1.70 % (23298)Refutation not found, incomplete strategy
% 2.05/1.70 % (23298)------------------------------
% 2.05/1.70 % (23298)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.70 % (23298)Termination reason: Refutation not found, incomplete strategy
% 2.05/1.70
% 2.05/1.70
% 2.05/1.70 % (23298)Memory used [KB]: 5373
% 2.05/1.70 % (23298)Time elapsed: 0.003 s
% 2.05/1.70 % (23298)Instructions burned: 2 (million)
% 2.05/1.70 % (23298)------------------------------
% 2.05/1.70 % (23298)------------------------------
% 2.05/1.70 % (23294)Instruction limit reached!
% 2.05/1.70 % (23294)------------------------------
% 2.05/1.70 % (23294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.70 % (23294)Termination reason: Unknown
% 2.05/1.70 % (23294)Termination phase: Saturation
% 2.05/1.70
% 2.05/1.70 % (23294)Memory used [KB]: 5500
% 2.05/1.70 % (23294)Time elapsed: 0.004 s
% 2.05/1.70 % (23294)Instructions burned: 4 (million)
% 2.05/1.70 % (23294)------------------------------
% 2.05/1.70 % (23294)------------------------------
% 2.05/1.70 % (23293)Refutation not found, incomplete strategy
% 2.05/1.70 % (23293)------------------------------
% 2.05/1.70 % (23293)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.70 % (23293)Termination reason: Refutation not found, incomplete strategy
% 2.05/1.70
% 2.05/1.70
% 2.05/1.70 % (23293)Memory used [KB]: 5628
% 2.05/1.70 % (23293)Time elapsed: 0.006 s
% 2.05/1.70 % (23293)Instructions burned: 8 (million)
% 2.05/1.70 % (23293)------------------------------
% 2.05/1.70 % (23293)------------------------------
% 2.05/1.71 % (23299)Instruction limit reached!
% 2.05/1.71 % (23299)------------------------------
% 2.05/1.71 % (23299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.71 % (23299)Termination reason: Unknown
% 2.05/1.71 % (23299)Termination phase: Saturation
% 2.05/1.71
% 2.05/1.71 % (23299)Memory used [KB]: 5756
% 2.05/1.71 % (23299)Time elapsed: 0.011 s
% 2.05/1.71 % (23299)Instructions burned: 19 (million)
% 2.05/1.71 % (23299)------------------------------
% 2.05/1.71 % (23299)------------------------------
% 2.05/1.72 % (23300)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_23196 for (2999ds/3Mi)
% 2.05/1.72 % (23301)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_23196 for (2999ds/37Mi)
% 2.05/1.72 % (23303)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_23196 for (2999ds/3Mi)
% 2.05/1.72 % (23304)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_23196 for (2999ds/1041Mi)
% 2.05/1.72 % (23300)Instruction limit reached!
% 2.05/1.72 % (23300)------------------------------
% 2.05/1.72 % (23300)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.72 % (23300)Termination reason: Unknown
% 2.05/1.72 % (23300)Termination phase: Saturation
% 2.05/1.72
% 2.05/1.72 % (23300)Memory used [KB]: 5500
% 2.05/1.72 % (23300)Time elapsed: 0.004 s
% 2.05/1.72 % (23300)Instructions burned: 3 (million)
% 2.05/1.72 % (23300)------------------------------
% 2.05/1.72 % (23300)------------------------------
% 2.05/1.72 % (23302)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_23196 for (2999ds/15Mi)
% 2.05/1.72 % (23302)Refutation not found, incomplete strategy
% 2.05/1.72 % (23302)------------------------------
% 2.05/1.72 % (23302)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.72 % (23302)Termination reason: Refutation not found, incomplete strategy
% 2.05/1.72
% 2.05/1.72
% 2.05/1.72 % (23302)Memory used [KB]: 5500
% 2.05/1.72 % (23303)Instruction limit reached!
% 2.05/1.72 % (23303)------------------------------
% 2.05/1.72 % (23303)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.72 % (23303)Termination reason: Unknown
% 2.05/1.72 % (23303)Termination phase: Saturation
% 2.05/1.72
% 2.05/1.72 % (23303)Memory used [KB]: 5500
% 2.05/1.72 % (23303)Time elapsed: 0.004 s
% 2.05/1.72 % (23303)Instructions burned: 3 (million)
% 2.05/1.72 % (23303)------------------------------
% 2.05/1.72 % (23303)------------------------------
% 2.05/1.72 % (23302)Time elapsed: 0.003 s
% 2.05/1.72 % (23302)Instructions burned: 2 (million)
% 2.05/1.72 % (23302)------------------------------
% 2.05/1.72 % (23302)------------------------------
% 2.05/1.72 % (23305)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_23196 for (2999ds/7Mi)
% 2.05/1.72 % (23301)Refutation not found, incomplete strategy
% 2.05/1.72 % (23301)------------------------------
% 2.05/1.72 % (23301)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.72 % (23301)Termination reason: Refutation not found, incomplete strategy
% 2.05/1.72
% 2.05/1.72
% 2.05/1.72 % (23301)Memory used [KB]: 5628
% 2.05/1.72 % (23301)Time elapsed: 0.009 s
% 2.05/1.72 % (23301)Instructions burned: 14 (million)
% 2.05/1.72 % (23301)------------------------------
% 2.05/1.72 % (23301)------------------------------
% 2.05/1.73 % (23305)Instruction limit reached!
% 2.05/1.73 % (23305)------------------------------
% 2.05/1.73 % (23305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.73 % (23305)Termination reason: Unknown
% 2.05/1.73 % (23305)Termination phase: Saturation
% 2.05/1.73
% 2.05/1.73 % (23305)Memory used [KB]: 1151
% 2.05/1.73 % (23305)Time elapsed: 0.007 s
% 2.05/1.73 % (23305)Instructions burned: 8 (million)
% 2.05/1.73 % (23305)------------------------------
% 2.05/1.73 % (23305)------------------------------
% 2.05/1.73 % (23306)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_23196 for (2999ds/16Mi)
% 2.05/1.74 % (23307)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_23196 for (2999ds/3Mi)
% 2.05/1.74 % (23306)Instruction limit reached!
% 2.05/1.74 % (23306)------------------------------
% 2.05/1.74 % (23306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.74 % (23306)Termination reason: Unknown
% 2.05/1.74 % (23306)Termination phase: Saturation
% 2.05/1.74
% 2.05/1.74 % (23306)Memory used [KB]: 5756
% 2.05/1.74 % (23306)Time elapsed: 0.012 s
% 2.05/1.74 % (23306)Instructions burned: 17 (million)
% 2.05/1.74 % (23306)------------------------------
% 2.05/1.74 % (23306)------------------------------
% 2.05/1.74 % (23307)Instruction limit reached!
% 2.05/1.74 % (23307)------------------------------
% 2.05/1.74 % (23307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.74 % (23307)Termination reason: Unknown
% 2.05/1.74 % (23307)Termination phase: Twee Goal Transformation
% 2.05/1.74
% 2.05/1.74 % (23307)Memory used [KB]: 1023
% 2.05/1.74 % (23307)Time elapsed: 0.003 s
% 2.05/1.74 % (23307)Instructions burned: 3 (million)
% 2.05/1.74 % (23307)------------------------------
% 2.05/1.74 % (23307)------------------------------
% 2.05/1.74 % (23309)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_23196 for (2999ds/7Mi)
% 2.05/1.74 % (23304)Refutation not found, incomplete strategy
% 2.05/1.74 % (23304)------------------------------
% 2.05/1.74 % (23304)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.74 % (23304)Termination reason: Refutation not found, incomplete strategy
% 2.05/1.74
% 2.05/1.74
% 2.05/1.74 % (23308)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_23196 for (2999ds/3Mi)
% 2.05/1.74 % (23304)Memory used [KB]: 5628
% 2.05/1.74 % (23304)Time elapsed: 0.022 s
% 2.05/1.74 % (23304)Instructions burned: 37 (million)
% 2.05/1.74 % (23304)------------------------------
% 2.05/1.74 % (23304)------------------------------
% 2.05/1.74 % (23308)Instruction limit reached!
% 2.05/1.74 % (23308)------------------------------
% 2.05/1.74 % (23308)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.74 % (23308)Termination reason: Unknown
% 2.05/1.74 % (23308)Termination phase: Property scanning
% 2.05/1.74
% 2.05/1.74 % (23308)Memory used [KB]: 895
% 2.05/1.74 % (23308)Time elapsed: 0.003 s
% 2.05/1.74 % (23308)Instructions burned: 3 (million)
% 2.05/1.74 % (23308)------------------------------
% 2.05/1.74 % (23308)------------------------------
% 2.05/1.74 % (23309)Refutation not found, incomplete strategy
% 2.05/1.74 % (23309)------------------------------
% 2.05/1.74 % (23309)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.74 % (23309)Termination reason: Refutation not found, incomplete strategy
% 2.05/1.74
% 2.05/1.74
% 2.05/1.74 % (23309)Memory used [KB]: 5500
% 2.05/1.74 % (23309)Time elapsed: 0.004 s
% 2.05/1.74 % (23309)Instructions burned: 3 (million)
% 2.05/1.74 % (23309)------------------------------
% 2.05/1.74 % (23309)------------------------------
% 2.05/1.74 % (23310)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_23196 for (2999ds/3Mi)
% 2.05/1.74 % (23311)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_23196 for (2999ds/4Mi)
% 2.05/1.74 % (23310)Instruction limit reached!
% 2.05/1.74 % (23310)------------------------------
% 2.05/1.74 % (23310)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.74 % (23310)Termination reason: Unknown
% 2.05/1.74 % (23310)Termination phase: Saturation
% 2.05/1.74
% 2.05/1.74 % (23310)Memory used [KB]: 5373
% 2.05/1.74 % (23310)Time elapsed: 0.003 s
% 2.05/1.74 % (23310)Instructions burned: 3 (million)
% 2.05/1.74 % (23310)------------------------------
% 2.05/1.74 % (23310)------------------------------
% 2.05/1.75 % (23311)Instruction limit reached!
% 2.05/1.75 % (23311)------------------------------
% 2.05/1.75 % (23311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.75 % (23311)Termination reason: Unknown
% 2.05/1.75 % (23311)Termination phase: Saturation
% 2.05/1.75
% 2.05/1.75 % (23311)Memory used [KB]: 5500
% 2.05/1.75 % (23311)Time elapsed: 0.005 s
% 2.05/1.75 % (23311)Instructions burned: 4 (million)
% 2.05/1.75 % (23311)------------------------------
% 2.05/1.75 % (23311)------------------------------
% 2.05/1.75 % (23312)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_23196 for (2999ds/18Mi)
% 2.05/1.76 % (23313)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_23196 for (2999ds/710Mi)
% 2.05/1.76 % (23312)Refutation not found, incomplete strategy
% 2.05/1.76 % (23312)------------------------------
% 2.05/1.76 % (23312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.76 % (23312)Termination reason: Refutation not found, incomplete strategy
% 2.05/1.76
% 2.05/1.76
% 2.05/1.76 % (23312)Memory used [KB]: 5500
% 2.05/1.76 % (23312)Time elapsed: 0.003 s
% 2.05/1.76 % (23312)Instructions burned: 1 (million)
% 2.05/1.76 % (23312)------------------------------
% 2.05/1.76 % (23312)------------------------------
% 2.05/1.76 % (23314)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_23196 for (2999ds/6Mi)
% 2.05/1.76 % (23315)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_23196 for (2999ds/902Mi)
% 2.05/1.76 % (23314)Refutation not found, incomplete strategy
% 2.05/1.76 % (23314)------------------------------
% 2.05/1.76 % (23314)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.76 % (23314)Termination reason: Refutation not found, incomplete strategy
% 2.05/1.76
% 2.05/1.76
% 2.05/1.76 % (23314)Memory used [KB]: 5500
% 2.05/1.76 % (23314)Time elapsed: 0.004 s
% 2.05/1.76 % (23314)Instructions burned: 2 (million)
% 2.05/1.76 % (23314)------------------------------
% 2.05/1.76 % (23314)------------------------------
% 2.05/1.76 % (23315)Refutation not found, incomplete strategy
% 2.05/1.76 % (23315)------------------------------
% 2.05/1.76 % (23315)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.76 % (23315)Termination reason: Refutation not found, incomplete strategy
% 2.05/1.76
% 2.05/1.76
% 2.05/1.76 % (23315)Memory used [KB]: 5373
% 2.05/1.76 % (23315)Time elapsed: 0.003 s
% 2.05/1.76 % (23315)Instructions burned: 2 (million)
% 2.05/1.76 % (23315)------------------------------
% 2.05/1.76 % (23315)------------------------------
% 2.05/1.76 % (23316)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_23196 for (2999ds/21Mi)
% 2.05/1.76 % (23317)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_23196 for (2999ds/5Mi)
% 2.05/1.76 % (23317)Instruction limit reached!
% 2.05/1.76 % (23317)------------------------------
% 2.05/1.76 % (23317)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.76 % (23317)Termination reason: Unknown
% 2.05/1.76 % (23317)Termination phase: Saturation
% 2.05/1.76
% 2.05/1.76 % (23317)Memory used [KB]: 5500
% 2.05/1.76 % (23317)Time elapsed: 0.005 s
% 2.05/1.76 % (23317)Instructions burned: 5 (million)
% 2.05/1.76 % (23317)------------------------------
% 2.05/1.76 % (23317)------------------------------
% 2.05/1.77 % (23318)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_23196 for (2999ds/6Mi)
% 2.05/1.77 % (23318)Instruction limit reached!
% 2.05/1.77 % (23318)------------------------------
% 2.05/1.77 % (23318)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.77 % (23318)Termination reason: Unknown
% 2.05/1.77 % (23318)Termination phase: Saturation
% 2.05/1.77
% 2.05/1.77 % (23318)Memory used [KB]: 5500
% 2.05/1.77 % (23318)Time elapsed: 0.005 s
% 2.05/1.77 % (23318)Instructions burned: 6 (million)
% 2.05/1.77 % (23318)------------------------------
% 2.05/1.77 % (23318)------------------------------
% 2.05/1.77 % (23313)First to succeed.
% 2.05/1.77 % (23316)Instruction limit reached!
% 2.05/1.77 % (23316)------------------------------
% 2.05/1.77 % (23316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.77 % (23316)Termination reason: Unknown
% 2.05/1.77 % (23316)Termination phase: Saturation
% 2.05/1.77
% 2.05/1.77 % (23316)Memory used [KB]: 5628
% 2.05/1.77 % (23316)Time elapsed: 0.015 s
% 2.05/1.77 % (23316)Instructions burned: 21 (million)
% 2.05/1.77 % (23316)------------------------------
% 2.05/1.77 % (23316)------------------------------
% 2.05/1.77 % (23313)Refutation found. Thanks to Tanya!
% 2.05/1.77 % SZS status Theorem for DTF2THF_23196
% 2.05/1.77 % SZS output start Proof for DTF2THF_23196
% 2.05/1.77 thf(func_def_5, type, f: $i > $i > $i > $i > $i > $i).
% 2.05/1.77 thf(func_def_10, type, ph1: !>[X0: $tType]:(X0)).
% 2.05/1.77 thf(f43,plain,(
% 2.05/1.77 $false),
% 2.05/1.77 inference(trivial_inequality_removal,[status(thm)],[f42])).
% 2.05/1.77 thf(f42,plain,(
% 2.05/1.77 (a0 != a0) | (a3 != a3) | ((f @ a0 @ a1 @ a3 @ a0 @ a3) != (f @ a0 @ a1 @ a3 @ a0 @ a3)) | ((f @ a0 @ a2 @ a3 @ a4 @ a0) != (f @ a0 @ a2 @ a3 @ a4 @ a0))),
% 2.05/1.77 inference(duplicate_literal_removal,[status(thm)],[f41])).
% 2.05/1.77 thf(f41,plain,(
% 2.05/1.77 ((f @ a0 @ a2 @ a3 @ a4 @ a0) != (f @ a0 @ a2 @ a3 @ a4 @ a0)) | (a0 != a0) | ((f @ a0 @ a1 @ a3 @ a0 @ a3) != (f @ a0 @ a1 @ a3 @ a0 @ a3)) | (a3 != a3) | (a0 != a0) | (a0 != a0)),
% 2.05/1.77 inference(beta_eta_normalization,[status(thm)],[f36])).
% 2.05/1.77 thf(f36,plain,(
% 2.05/1.77 (a0 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (a0)))))))))) @ a1 @ a4 @ a0 @ a3 @ a2)) | (a0 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y2)))))))))) @ a1 @ a4 @ a0 @ a3 @ a2)) | (a3 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y2)))))))))) @ a2 @ a4 @ a3 @ a0 @ a1)) | (a0 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (a0)))))))))) @ a2 @ a4 @ a3 @ a0 @ a1)) | ((f @ a0 @ a2 @ a3 @ a4 @ a0) != (f @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (a0)))))))))) @ a1 @ a2 @ a4 @ a3 @ a0) @ a2 @ a3 @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y2)))))))))) @ a1 @ a2 @ a4 @ a3 @ a0) @ a0)) | ((f @ a0 @ a1 @ a3 @ a0 @ a3) != (f @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (a0)))))))))) @ a2 @ a1 @ a0 @ a4 @ a3) @ a1 @ a3 @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y2)))))))))) @ a2 @ a1 @ a0 @ a4 @ a3) @ a3))),
% 2.05/1.77 inference(equality_resolution,[status(thm)],[f17])).
% 2.05/1.77 thf(f17,plain,(
% 2.05/1.77 ( ! [X0 : $i > $i > $i > $i > $i > $i,X1 : $i > $i > $i > $i > $i > $i] : (((f @ a0 @ a3 @ a3 @ a1 @ a4) != (f @ (X0 @ a2 @ a3 @ a1 @ a0 @ a4) @ a3 @ a3 @ (X1 @ a2 @ a3 @ a1 @ a0 @ a4) @ a4)) | ((f @ a0 @ a1 @ a3 @ a0 @ a3) != (f @ (X0 @ a2 @ a1 @ a0 @ a4 @ a3) @ a1 @ a3 @ (X1 @ a2 @ a1 @ a0 @ a4 @ a3) @ a3)) | (a0 != (X0 @ a1 @ a4 @ a0 @ a3 @ a2)) | (a0 != (X0 @ a2 @ a4 @ a3 @ a0 @ a1)) | (a3 != (X1 @ a2 @ a4 @ a3 @ a0 @ a1)) | ((f @ a0 @ a2 @ a3 @ a4 @ a0) != (f @ (X0 @ a1 @ a2 @ a4 @ a3 @ a0) @ a2 @ a3 @ (X1 @ a1 @ a2 @ a4 @ a3 @ a0) @ a0)) | (a0 != (X1 @ a1 @ a4 @ a0 @ a3 @ a2))) )),
% 2.05/1.77 inference(trivial_inequality_removal,[status(thm)],[f16])).
% 2.05/1.77 thf(f16,plain,(
% 2.05/1.77 ( ! [X0 : $i > $i > $i > $i > $i > $i,X1 : $i > $i > $i > $i > $i > $i] : ((a3 != (X1 @ a2 @ a4 @ a3 @ a0 @ a1)) | (a0 != (X0 @ a2 @ a4 @ a3 @ a0 @ a1)) | ((f @ a0 @ a2 @ a3 @ a4 @ a0) != (f @ (X0 @ a1 @ a2 @ a4 @ a3 @ a0) @ a2 @ a3 @ (X1 @ a1 @ a2 @ a4 @ a3 @ a0) @ a0)) | (a0 != (X0 @ a1 @ a4 @ a0 @ a3 @ a2)) | (a1 != a1) | (a0 != (X1 @ a1 @ a4 @ a0 @ a3 @ a2)) | ((f @ a0 @ a1 @ a3 @ a0 @ a3) != (f @ (X0 @ a2 @ a1 @ a0 @ a4 @ a3) @ a1 @ a3 @ (X1 @ a2 @ a1 @ a0 @ a4 @ a3) @ a3)) | (a4 != a4) | ((f @ a0 @ a3 @ a3 @ a1 @ a4) != (f @ (X0 @ a2 @ a3 @ a1 @ a0 @ a4) @ a3 @ a3 @ (X1 @ a2 @ a3 @ a1 @ a0 @ a4) @ a4))) )),
% 2.05/1.77 inference(beta_eta_normalization,[status(thm)],[f10])).
% 2.05/1.77 thf(f10,plain,(
% 2.05/1.77 ( ! [X0 : $i > $i > $i > $i > $i > $i,X1 : $i > $i > $i > $i > $i > $i] : (((f @ a0 @ a2 @ a3 @ a4 @ a0) != (f @ (X0 @ a1 @ a2 @ a4 @ a3 @ a0) @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1)))))))))) @ a1 @ a2 @ a4 @ a3 @ a0) @ a3 @ (X1 @ a1 @ a2 @ a4 @ a3 @ a0) @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4)))))))))) @ a1 @ a2 @ a4 @ a3 @ a0))) | ((f @ a0 @ a3 @ a3 @ a1 @ a4) != (f @ (X0 @ a2 @ a3 @ a1 @ a0 @ a4) @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1)))))))))) @ a2 @ a3 @ a1 @ a0 @ a4) @ a3 @ (X1 @ a2 @ a3 @ a1 @ a0 @ a4) @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4)))))))))) @ a2 @ a3 @ a1 @ a0 @ a4))) | (a1 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4)))))))))) @ a2 @ a4 @ a3 @ a0 @ a1)) | (a0 != (X1 @ a1 @ a4 @ a0 @ a3 @ a2)) | (a0 != (X0 @ a2 @ a4 @ a3 @ a0 @ a1)) | (a4 != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1)))))))))) @ a2 @ a4 @ a3 @ a0 @ a1)) | (a0 != (X0 @ a1 @ a4 @ a0 @ a3 @ a2)) | (a3 != (X1 @ a2 @ a4 @ a3 @ a0 @ a1)) | ((f @ a0 @ a1 @ a3 @ a0 @ a3) != (f @ (X0 @ a2 @ a1 @ a0 @ a4 @ a3) @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1)))))))))) @ a2 @ a1 @ a0 @ a4 @ a3) @ a3 @ (X1 @ a2 @ a1 @ a0 @ a4 @ a3) @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4)))))))))) @ a2 @ a1 @ a0 @ a4 @ a3)))) )),
% 2.05/1.77 inference(equality_resolution,[status(thm)],[f8])).
% 2.05/1.77 thf(f8,plain,(
% 2.05/1.77 ( ! [X6 : $i > $i > $i > $i > $i > $i,X7 : $i > $i > $i > $i > $i > $i,X4 : $i > $i > $i > $i > $i > $i,X5 : $i > $i > $i > $i > $i > $i] : (((f @ a0 @ a4 @ a3 @ a0 @ a2) != (f @ (X5 @ a1 @ a4 @ a0 @ a3 @ a2) @ (X4 @ a1 @ a4 @ a0 @ a3 @ a2) @ a3 @ (X7 @ a1 @ a4 @ a0 @ a3 @ a2) @ (X6 @ a1 @ a4 @ a0 @ a3 @ a2))) | (a1 != (X6 @ a2 @ a4 @ a3 @ a0 @ a1)) | (a0 != (X5 @ a2 @ a4 @ a3 @ a0 @ a1)) | (a4 != (X4 @ a2 @ a4 @ a3 @ a0 @ a1)) | (a3 != (X7 @ a2 @ a4 @ a3 @ a0 @ a1)) | ((f @ a0 @ a1 @ a3 @ a0 @ a3) != (f @ (X5 @ a2 @ a1 @ a0 @ a4 @ a3) @ (X4 @ a2 @ a1 @ a0 @ a4 @ a3) @ a3 @ (X7 @ a2 @ a1 @ a0 @ a4 @ a3) @ (X6 @ a2 @ a1 @ a0 @ a4 @ a3))) | ((f @ a0 @ a3 @ a3 @ a1 @ a4) != (f @ (X5 @ a2 @ a3 @ a1 @ a0 @ a4) @ (X4 @ a2 @ a3 @ a1 @ a0 @ a4) @ a3 @ (X7 @ a2 @ a3 @ a1 @ a0 @ a4) @ (X6 @ a2 @ a3 @ a1 @ a0 @ a4))) | ((f @ a0 @ a2 @ a3 @ a4 @ a0) != (f @ (X5 @ a1 @ a2 @ a4 @ a3 @ a0) @ (X4 @ a1 @ a2 @ a4 @ a3 @ a0) @ a3 @ (X7 @ a1 @ a2 @ a4 @ a3 @ a0) @ (X6 @ a1 @ a2 @ a4 @ a3 @ a0)))) )),
% 2.05/1.77 inference(beta_eta_normalization,[status(thm)],[f7])).
% 2.05/1.77 thf(f7,plain,(
% 2.05/1.77 ( ! [X6 : $i > $i > $i > $i > $i > $i,X7 : $i > $i > $i > $i > $i > $i,X4 : $i > $i > $i > $i > $i > $i,X5 : $i > $i > $i > $i > $i > $i] : (((f @ a0 @ a2 @ a3 @ a4 @ a0) != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (f @ (X5 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X4 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (a3)))))))))) @ Y0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X7 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X6 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4))))))))))) @ a1 @ a2 @ a4 @ a3 @ a0)) | ((f @ a0 @ a3 @ a3 @ a1 @ a4) != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (f @ (X5 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X4 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (a3)))))))))) @ Y0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X7 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X6 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4))))))))))) @ a2 @ a3 @ a1 @ a0 @ a4)) | (a3 != (X7 @ a2 @ a4 @ a3 @ a0 @ a1)) | ((f @ a0 @ a4 @ a3 @ a0 @ a2) != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (f @ (X5 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X4 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (a3)))))))))) @ Y0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X7 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X6 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4))))))))))) @ a1 @ a4 @ a0 @ a3 @ a2)) | (a0 != (X5 @ a2 @ a4 @ a3 @ a0 @ a1)) | (a4 != (X4 @ a2 @ a4 @ a3 @ a0 @ a1)) | ((f @ a0 @ a1 @ a3 @ a0 @ a3) != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (f @ (X5 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X4 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (a3)))))))))) @ Y0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X7 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X6 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4))))))))))) @ a2 @ a1 @ a0 @ a4 @ a3)) | (a1 != (X6 @ a2 @ a4 @ a3 @ a0 @ a1))) )),
% 2.05/1.77 inference(equality_resolution,[status(thm)],[f5])).
% 2.05/1.77 thf(f5,plain,(
% 2.05/1.77 ( ! [X0 : $i > $i > $i > $i > $i > $i] : (((X0 @ a2 @ a4 @ a3 @ a0 @ a1) != (f @ a0 @ a4 @ a3 @ a3 @ a1)) | ((X0 @ a1 @ a4 @ a0 @ a3 @ a2) != (f @ a0 @ a4 @ a3 @ a0 @ a2)) | ((X0 @ a2 @ a1 @ a0 @ a4 @ a3) != (f @ a0 @ a1 @ a3 @ a0 @ a3)) | ((X0 @ a1 @ a2 @ a4 @ a3 @ a0) != (f @ a0 @ a2 @ a3 @ a4 @ a0)) | ((X0 @ a2 @ a3 @ a1 @ a0 @ a4) != (f @ a0 @ a3 @ a3 @ a1 @ a4))) )),
% 2.05/1.77 inference(cnf_transformation,[status(thm)],[f4])).
% 2.05/1.77 thf(f4,plain,(
% 2.05/1.77 ! [X0 : $i > $i > $i > $i > $i > $i] : (((X0 @ a1 @ a4 @ a0 @ a3 @ a2) != (f @ a0 @ a4 @ a3 @ a0 @ a2)) | ((X0 @ a1 @ a2 @ a4 @ a3 @ a0) != (f @ a0 @ a2 @ a3 @ a4 @ a0)) | ((X0 @ a2 @ a3 @ a1 @ a0 @ a4) != (f @ a0 @ a3 @ a3 @ a1 @ a4)) | ((X0 @ a2 @ a1 @ a0 @ a4 @ a3) != (f @ a0 @ a1 @ a3 @ a0 @ a3)) | ((X0 @ a2 @ a4 @ a3 @ a0 @ a1) != (f @ a0 @ a4 @ a3 @ a3 @ a1)))),
% 2.05/1.77 inference(ennf_transformation,[status(thm)],[f2])).
% 2.05/1.77 thf(f2,negated_conjecture,(
% 2.05/1.77 ~? [X0 : $i > $i > $i > $i > $i > $i] : (((X0 @ a2 @ a3 @ a1 @ a0 @ a4) = (f @ a0 @ a3 @ a3 @ a1 @ a4)) & ((X0 @ a2 @ a4 @ a3 @ a0 @ a1) = (f @ a0 @ a4 @ a3 @ a3 @ a1)) & ((X0 @ a1 @ a4 @ a0 @ a3 @ a2) = (f @ a0 @ a4 @ a3 @ a0 @ a2)) & ((X0 @ a2 @ a1 @ a0 @ a4 @ a3) = (f @ a0 @ a1 @ a3 @ a0 @ a3)) & ((X0 @ a1 @ a2 @ a4 @ a3 @ a0) = (f @ a0 @ a2 @ a3 @ a4 @ a0)))),
% 2.05/1.77 inference(negated_conjecture,[status(cth)],[f1])).
% 2.05/1.77 thf(f1,conjecture,(
% 2.05/1.77 ? [X0 : $i > $i > $i > $i > $i > $i] : (((X0 @ a2 @ a3 @ a1 @ a0 @ a4) = (f @ a0 @ a3 @ a3 @ a1 @ a4)) & ((X0 @ a2 @ a4 @ a3 @ a0 @ a1) = (f @ a0 @ a4 @ a3 @ a3 @ a1)) & ((X0 @ a1 @ a4 @ a0 @ a3 @ a2) = (f @ a0 @ a4 @ a3 @ a0 @ a2)) & ((X0 @ a2 @ a1 @ a0 @ a4 @ a3) = (f @ a0 @ a1 @ a3 @ a0 @ a3)) & ((X0 @ a1 @ a2 @ a4 @ a3 @ a0) = (f @ a0 @ a2 @ a3 @ a4 @ a0)))),
% 2.05/1.77 file('/export/starexec/sandbox/tmp/tmp.Ukmf2ylKd3/DTF2THF_23196.p',goal)).
% 2.05/1.77 % SZS output end Proof for DTF2THF_23196
% 2.05/1.77 % (23313)------------------------------
% 2.05/1.77 % (23313)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.77 % (23313)Termination reason: Refutation
% 2.05/1.77
% 2.05/1.77 % (23313)Memory used [KB]: 5884
% 2.05/1.77 % (23313)Time elapsed: 0.019 s
% 2.05/1.77 % (23313)Instructions burned: 26 (million)
% 2.05/1.77 % (23313)------------------------------
% 2.05/1.77 % (23313)------------------------------
% 2.05/1.77 % (23292)Success in time 0.079 s
%------------------------------------------------------------------------------