%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU999^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:37:56 AM UTC 2026
% Result : Theorem 1.62s 1.99s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 427 ( 426 equ; 0 cnn)
% Maximal formula atoms : 78 ( 17 avg)
% Number of connectives : 1442 ( 116 ~; 0 |; 394 &; 924 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 16 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 234 ( 0 ^; 181 !; 53 ?; 234 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_4,type,
sK0: a > a > a ).
thf(func_def_5,type,
sK1: a > a > a ).
thf(func_def_6,type,
sK2: a ).
thf(func_def_7,type,
sK3: a ).
thf(func_def_8,type,
sK4: a ).
thf(func_def_9,type,
sK5: a ).
thf(func_def_10,type,
sK6: a ).
thf(f2417,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f2416,f32]) ).
thf(f32,plain,
sK5 != sK3,
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f10,plain,
( ! [X2: a,X3: a,X4: a] :
( ( sK1 @ X3 @ ( sK1 @ X2 @ X4 ) )
= ( sK1 @ ( sK1 @ X3 @ X2 ) @ X4 ) )
& ! [X5: a,X6: a] :
( ( sK0 @ ( sK1 @ X6 @ X5 ) @ X5 )
= X5 )
& ! [X7: a,X8: a] :
( ( sK1 @ X7 @ X8 )
= ( sK1 @ X8 @ X7 ) )
& ! [X9: a,X10: a] :
( ( sK1 @ ( sK0 @ X9 @ X10 ) @ X10 )
= X10 )
& ! [X11: a,X12: a,X13: a] :
( ( sK0 @ X12 @ ( sK0 @ X11 @ X13 ) )
= ( sK0 @ ( sK0 @ X12 @ X11 ) @ X13 ) )
& ! [X14: a] :
( ( sK1 @ X14 @ X14 )
= X14 )
& ( sK5 != sK6 )
& ( sK6 != sK2 )
& ( ( sK0 @ sK4 @ sK2 )
= sK4 )
& ( sK6
= ( sK0 @ sK6 @ sK4 ) )
& ( ( sK1 @ sK6 @ sK3 )
= sK3 )
& ( sK4 != sK2 )
& ( sK2
= ( sK1 @ sK6 @ sK2 ) )
& ( sK2
= ( sK1 @ sK3 @ sK2 ) )
& ( sK5
= ( sK0 @ sK3 @ sK5 ) )
& ( ( sK1 @ sK3 @ sK4 )
= sK2 )
& ( ( sK1 @ sK4 @ sK5 )
= sK2 )
& ( sK5 != sK3 )
& ( sK2
= ( sK1 @ sK5 @ sK2 ) )
& ( sK3
= ( sK0 @ sK3 @ sK2 ) )
& ( ( sK0 @ sK6 @ sK5 )
= sK6 )
& ( sK5
= ( sK1 @ sK6 @ sK5 ) )
& ( sK2 != sK3 )
& ( sK5
= ( sK0 @ sK5 @ sK2 ) )
& ( sK4 != sK6 )
& ( sK6
= ( sK0 @ sK6 @ sK2 ) )
& ( ( sK0 @ sK3 @ sK4 )
= sK6 )
& ( sK5 != sK4 )
& ( sK5 != sK2 )
& ( sK6
= ( sK0 @ sK6 @ sK3 ) )
& ( sK6 != sK3 )
& ( ( sK1 @ sK3 @ sK5 )
= sK3 )
& ( sK4 != sK3 )
& ( sK6
= ( sK0 @ sK4 @ sK5 ) )
& ( sK2
= ( sK1 @ sK4 @ sK2 ) )
& ( sK4
= ( sK1 @ sK6 @ sK4 ) )
& ! [X20: a] :
( ( sK0 @ X20 @ X20 )
= X20 )
& ! [X21: a,X22: a] :
( ( sK0 @ X22 @ X21 )
= ( sK0 @ X21 @ X22 ) )
& ! [X23: a,X24: a,X25: a] :
( ( sK0 @ X23 @ ( sK1 @ X25 @ ( sK0 @ X23 @ X24 ) ) )
= ( sK1 @ ( sK0 @ X23 @ X25 ) @ ( sK0 @ X23 @ X24 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f7,f9,f8]) ).
thf(f8,plain,
( ? [X0: a > a > a,X1: a > a > a] :
( ! [X2: a,X3: a,X4: a] :
( ( X1 @ X3 @ ( X1 @ X2 @ X4 ) )
= ( X1 @ ( X1 @ X3 @ X2 ) @ X4 ) )
& ! [X5: a,X6: a] :
( ( X0 @ ( X1 @ X6 @ X5 ) @ X5 )
= X5 )
& ! [X7: a,X8: a] :
( ( X1 @ X8 @ X7 )
= ( X1 @ X7 @ X8 ) )
& ! [X9: a,X10: a] :
( ( X1 @ ( X0 @ X9 @ X10 ) @ X10 )
= X10 )
& ! [X11: a,X12: a,X13: a] :
( ( X0 @ ( X0 @ X12 @ X11 ) @ X13 )
= ( X0 @ X12 @ ( X0 @ X11 @ X13 ) ) )
& ! [X14: a] :
( ( X1 @ X14 @ X14 )
= X14 )
& ? [X15: a,X16: a,X17: a,X18: a,X19: a] :
( ( X18 != X19 )
& ( X15 != X19 )
& ( ( X0 @ X17 @ X15 )
= X17 )
& ( ( X0 @ X19 @ X17 )
= X19 )
& ( ( X1 @ X19 @ X16 )
= X16 )
& ( X15 != X17 )
& ( ( X1 @ X19 @ X15 )
= X15 )
& ( ( X1 @ X16 @ X15 )
= X15 )
& ( ( X0 @ X16 @ X18 )
= X18 )
& ( ( X1 @ X16 @ X17 )
= X15 )
& ( ( X1 @ X17 @ X18 )
= X15 )
& ( X16 != X18 )
& ( ( X1 @ X18 @ X15 )
= X15 )
& ( ( X0 @ X16 @ X15 )
= X16 )
& ( ( X0 @ X19 @ X18 )
= X19 )
& ( ( X1 @ X19 @ X18 )
= X18 )
& ( X15 != X16 )
& ( ( X0 @ X18 @ X15 )
= X18 )
& ( X17 != X19 )
& ( ( X0 @ X19 @ X15 )
= X19 )
& ( ( X0 @ X16 @ X17 )
= X19 )
& ( X17 != X18 )
& ( X15 != X18 )
& ( ( X0 @ X19 @ X16 )
= X19 )
& ( X16 != X19 )
& ( ( X1 @ X16 @ X18 )
= X16 )
& ( X16 != X17 )
& ( ( X0 @ X17 @ X18 )
= X19 )
& ( ( X1 @ X17 @ X15 )
= X15 )
& ( ( X1 @ X19 @ X17 )
= X17 ) )
& ! [X20: a] :
( ( X0 @ X20 @ X20 )
= X20 )
& ! [X21: a,X22: a] :
( ( X0 @ X21 @ X22 )
= ( X0 @ X22 @ X21 ) )
& ! [X23: a,X24: a,X25: a] :
( ( X1 @ ( X0 @ X23 @ X25 ) @ ( X0 @ X23 @ X24 ) )
= ( X0 @ X23 @ ( X1 @ X25 @ ( X0 @ X23 @ X24 ) ) ) ) )
=> ( ! [X4: a,X3: a,X2: a] :
( ( sK1 @ X3 @ ( sK1 @ X2 @ X4 ) )
= ( sK1 @ ( sK1 @ X3 @ X2 ) @ X4 ) )
& ! [X6: a,X5: a] :
( ( sK0 @ ( sK1 @ X6 @ X5 ) @ X5 )
= X5 )
& ! [X8: a,X7: a] :
( ( sK1 @ X7 @ X8 )
= ( sK1 @ X8 @ X7 ) )
& ! [X10: a,X9: a] :
( ( sK1 @ ( sK0 @ X9 @ X10 ) @ X10 )
= X10 )
& ! [X13: a,X12: a,X11: a] :
( ( sK0 @ X12 @ ( sK0 @ X11 @ X13 ) )
= ( sK0 @ ( sK0 @ X12 @ X11 ) @ X13 ) )
& ! [X14: a] :
( ( sK1 @ X14 @ X14 )
= X14 )
& ? [X19: a,X18: a,X17: a,X16: a,X15: a] :
( ( X18 != X19 )
& ( X15 != X19 )
& ( ( sK0 @ X17 @ X15 )
= X17 )
& ( ( sK0 @ X19 @ X17 )
= X19 )
& ( ( sK1 @ X19 @ X16 )
= X16 )
& ( X15 != X17 )
& ( ( sK1 @ X19 @ X15 )
= X15 )
& ( ( sK1 @ X16 @ X15 )
= X15 )
& ( ( sK0 @ X16 @ X18 )
= X18 )
& ( ( sK1 @ X16 @ X17 )
= X15 )
& ( ( sK1 @ X17 @ X18 )
= X15 )
& ( X16 != X18 )
& ( ( sK1 @ X18 @ X15 )
= X15 )
& ( ( sK0 @ X16 @ X15 )
= X16 )
& ( ( sK0 @ X19 @ X18 )
= X19 )
& ( ( sK1 @ X19 @ X18 )
= X18 )
& ( X15 != X16 )
& ( ( sK0 @ X18 @ X15 )
= X18 )
& ( X17 != X19 )
& ( ( sK0 @ X19 @ X15 )
= X19 )
& ( ( sK0 @ X16 @ X17 )
= X19 )
& ( X17 != X18 )
& ( X15 != X18 )
& ( ( sK0 @ X19 @ X16 )
= X19 )
& ( X16 != X19 )
& ( ( sK1 @ X16 @ X18 )
= X16 )
& ( X16 != X17 )
& ( ( sK0 @ X17 @ X18 )
= X19 )
& ( ( sK1 @ X17 @ X15 )
= X15 )
& ( ( sK1 @ X19 @ X17 )
= X17 ) )
& ! [X20: a] :
( ( sK0 @ X20 @ X20 )
= X20 )
& ! [X22: a,X21: a] :
( ( sK0 @ X22 @ X21 )
= ( sK0 @ X21 @ X22 ) )
& ! [X25: a,X24: a,X23: a] :
( ( sK0 @ X23 @ ( sK1 @ X25 @ ( sK0 @ X23 @ X24 ) ) )
= ( sK1 @ ( sK0 @ X23 @ X25 ) @ ( sK0 @ X23 @ X24 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f9,plain,
( ? [X19: a,X18: a,X17: a,X16: a,X15: a] :
( ( X18 != X19 )
& ( X15 != X19 )
& ( ( sK0 @ X17 @ X15 )
= X17 )
& ( ( sK0 @ X19 @ X17 )
= X19 )
& ( ( sK1 @ X19 @ X16 )
= X16 )
& ( X15 != X17 )
& ( ( sK1 @ X19 @ X15 )
= X15 )
& ( ( sK1 @ X16 @ X15 )
= X15 )
& ( ( sK0 @ X16 @ X18 )
= X18 )
& ( ( sK1 @ X16 @ X17 )
= X15 )
& ( ( sK1 @ X17 @ X18 )
= X15 )
& ( X16 != X18 )
& ( ( sK1 @ X18 @ X15 )
= X15 )
& ( ( sK0 @ X16 @ X15 )
= X16 )
& ( ( sK0 @ X19 @ X18 )
= X19 )
& ( ( sK1 @ X19 @ X18 )
= X18 )
& ( X15 != X16 )
& ( ( sK0 @ X18 @ X15 )
= X18 )
& ( X17 != X19 )
& ( ( sK0 @ X19 @ X15 )
= X19 )
& ( ( sK0 @ X16 @ X17 )
= X19 )
& ( X17 != X18 )
& ( X15 != X18 )
& ( ( sK0 @ X19 @ X16 )
= X19 )
& ( X16 != X19 )
& ( ( sK1 @ X16 @ X18 )
= X16 )
& ( X16 != X17 )
& ( ( sK0 @ X17 @ X18 )
= X19 )
& ( ( sK1 @ X17 @ X15 )
= X15 )
& ( ( sK1 @ X19 @ X17 )
= X17 ) )
=> ( ( sK5 != sK6 )
& ( sK6 != sK2 )
& ( ( sK0 @ sK4 @ sK2 )
= sK4 )
& ( sK6
= ( sK0 @ sK6 @ sK4 ) )
& ( ( sK1 @ sK6 @ sK3 )
= sK3 )
& ( sK4 != sK2 )
& ( sK2
= ( sK1 @ sK6 @ sK2 ) )
& ( sK2
= ( sK1 @ sK3 @ sK2 ) )
& ( sK5
= ( sK0 @ sK3 @ sK5 ) )
& ( ( sK1 @ sK3 @ sK4 )
= sK2 )
& ( ( sK1 @ sK4 @ sK5 )
= sK2 )
& ( sK5 != sK3 )
& ( sK2
= ( sK1 @ sK5 @ sK2 ) )
& ( sK3
= ( sK0 @ sK3 @ sK2 ) )
& ( ( sK0 @ sK6 @ sK5 )
= sK6 )
& ( sK5
= ( sK1 @ sK6 @ sK5 ) )
& ( sK2 != sK3 )
& ( sK5
= ( sK0 @ sK5 @ sK2 ) )
& ( sK4 != sK6 )
& ( sK6
= ( sK0 @ sK6 @ sK2 ) )
& ( ( sK0 @ sK3 @ sK4 )
= sK6 )
& ( sK5 != sK4 )
& ( sK5 != sK2 )
& ( sK6
= ( sK0 @ sK6 @ sK3 ) )
& ( sK6 != sK3 )
& ( ( sK1 @ sK3 @ sK5 )
= sK3 )
& ( sK4 != sK3 )
& ( sK6
= ( sK0 @ sK4 @ sK5 ) )
& ( sK2
= ( sK1 @ sK4 @ sK2 ) )
& ( sK4
= ( sK1 @ sK6 @ sK4 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f7,plain,
? [X0: a > a > a,X1: a > a > a] :
( ! [X2: a,X3: a,X4: a] :
( ( X1 @ X3 @ ( X1 @ X2 @ X4 ) )
= ( X1 @ ( X1 @ X3 @ X2 ) @ X4 ) )
& ! [X5: a,X6: a] :
( ( X0 @ ( X1 @ X6 @ X5 ) @ X5 )
= X5 )
& ! [X7: a,X8: a] :
( ( X1 @ X8 @ X7 )
= ( X1 @ X7 @ X8 ) )
& ! [X9: a,X10: a] :
( ( X1 @ ( X0 @ X9 @ X10 ) @ X10 )
= X10 )
& ! [X11: a,X12: a,X13: a] :
( ( X0 @ ( X0 @ X12 @ X11 ) @ X13 )
= ( X0 @ X12 @ ( X0 @ X11 @ X13 ) ) )
& ! [X14: a] :
( ( X1 @ X14 @ X14 )
= X14 )
& ? [X15: a,X16: a,X17: a,X18: a,X19: a] :
( ( X18 != X19 )
& ( X15 != X19 )
& ( ( X0 @ X17 @ X15 )
= X17 )
& ( ( X0 @ X19 @ X17 )
= X19 )
& ( ( X1 @ X19 @ X16 )
= X16 )
& ( X15 != X17 )
& ( ( X1 @ X19 @ X15 )
= X15 )
& ( ( X1 @ X16 @ X15 )
= X15 )
& ( ( X0 @ X16 @ X18 )
= X18 )
& ( ( X1 @ X16 @ X17 )
= X15 )
& ( ( X1 @ X17 @ X18 )
= X15 )
& ( X16 != X18 )
& ( ( X1 @ X18 @ X15 )
= X15 )
& ( ( X0 @ X16 @ X15 )
= X16 )
& ( ( X0 @ X19 @ X18 )
= X19 )
& ( ( X1 @ X19 @ X18 )
= X18 )
& ( X15 != X16 )
& ( ( X0 @ X18 @ X15 )
= X18 )
& ( X17 != X19 )
& ( ( X0 @ X19 @ X15 )
= X19 )
& ( ( X0 @ X16 @ X17 )
= X19 )
& ( X17 != X18 )
& ( X15 != X18 )
& ( ( X0 @ X19 @ X16 )
= X19 )
& ( X16 != X19 )
& ( ( X1 @ X16 @ X18 )
= X16 )
& ( X16 != X17 )
& ( ( X0 @ X17 @ X18 )
= X19 )
& ( ( X1 @ X17 @ X15 )
= X15 )
& ( ( X1 @ X19 @ X17 )
= X17 ) )
& ! [X20: a] :
( ( X0 @ X20 @ X20 )
= X20 )
& ! [X21: a,X22: a] :
( ( X0 @ X21 @ X22 )
= ( X0 @ X22 @ X21 ) )
& ! [X23: a,X24: a,X25: a] :
( ( X1 @ ( X0 @ X23 @ X25 ) @ ( X0 @ X23 @ X24 ) )
= ( X0 @ X23 @ ( X1 @ X25 @ ( X0 @ X23 @ X24 ) ) ) ) ),
inference(rectify,[status(thm)],[f6]) ).
thf(f6,plain,
? [X1: a > a > a,X0: a > a > a] :
( ! [X5: a,X7: a,X6: a] :
( ( X0 @ X7 @ ( X0 @ X5 @ X6 ) )
= ( X0 @ ( X0 @ X7 @ X5 ) @ X6 ) )
& ! [X16: a,X17: a] :
( ( X1 @ ( X0 @ X17 @ X16 ) @ X16 )
= X16 )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X9: a,X8: a] :
( ( X0 @ ( X1 @ X9 @ X8 ) @ X8 )
= X8 )
& ! [X14: a,X15: a,X13: a] :
( ( X1 @ X15 @ ( X1 @ X14 @ X13 ) )
= ( X1 @ ( X1 @ X15 @ X14 ) @ X13 ) )
& ! [X10: a] :
( ( X0 @ X10 @ X10 )
= X10 )
& ? [X21: a,X20: a,X19: a,X18: a,X22: a] :
( ( X18 != X22 )
& ( X21 != X22 )
& ( ( X1 @ X19 @ X21 )
= X19 )
& ( ( X1 @ X22 @ X19 )
= X22 )
& ( ( X0 @ X22 @ X20 )
= X20 )
& ( X19 != X21 )
& ( ( X0 @ X22 @ X21 )
= X21 )
& ( ( X0 @ X20 @ X21 )
= X21 )
& ( ( X1 @ X20 @ X18 )
= X18 )
& ( ( X0 @ X20 @ X19 )
= X21 )
& ( ( X0 @ X19 @ X18 )
= X21 )
& ( X18 != X20 )
& ( ( X0 @ X18 @ X21 )
= X21 )
& ( ( X1 @ X20 @ X21 )
= X20 )
& ( ( X1 @ X22 @ X18 )
= X22 )
& ( ( X0 @ X22 @ X18 )
= X18 )
& ( X20 != X21 )
& ( ( X1 @ X18 @ X21 )
= X18 )
& ( X19 != X22 )
& ( ( X1 @ X22 @ X21 )
= X22 )
& ( ( X1 @ X20 @ X19 )
= X22 )
& ( X18 != X19 )
& ( X18 != X21 )
& ( ( X1 @ X22 @ X20 )
= X22 )
& ( X20 != X22 )
& ( ( X0 @ X20 @ X18 )
= X20 )
& ( X19 != X20 )
& ( ( X1 @ X19 @ X18 )
= X22 )
& ( ( X0 @ X19 @ X21 )
= X21 )
& ( ( X0 @ X22 @ X19 )
= X19 ) )
& ! [X4: a] :
( ( X1 @ X4 @ X4 )
= X4 )
& ! [X11: a,X12: a] :
( ( X1 @ X12 @ X11 )
= ( X1 @ X11 @ X12 ) )
& ! [X24: a,X23: a,X25: a] :
( ( X1 @ X24 @ ( X0 @ X25 @ ( X1 @ X24 @ X23 ) ) )
= ( X0 @ ( X1 @ X24 @ X25 ) @ ( X1 @ X24 @ X23 ) ) ) ),
inference(flattening,[status(thm)],[f5]) ).
thf(f5,plain,
? [X0: a > a > a,X1: a > a > a] :
( ! [X24: a,X23: a,X25: a] :
( ( X1 @ X24 @ ( X0 @ X25 @ ( X1 @ X24 @ X23 ) ) )
= ( X0 @ ( X1 @ X24 @ X25 ) @ ( X1 @ X24 @ X23 ) ) )
& ? [X21: a,X20: a,X19: a,X18: a,X22: a] :
( ( X18 != X22 )
& ( X21 != X22 )
& ( ( X1 @ X19 @ X21 )
= X19 )
& ( ( X1 @ X22 @ X19 )
= X22 )
& ( ( X0 @ X22 @ X20 )
= X20 )
& ( X19 != X21 )
& ( ( X0 @ X22 @ X21 )
= X21 )
& ( ( X0 @ X20 @ X21 )
= X21 )
& ( ( X1 @ X20 @ X18 )
= X18 )
& ( ( X0 @ X20 @ X19 )
= X21 )
& ( ( X0 @ X19 @ X18 )
= X21 )
& ( X18 != X20 )
& ( ( X0 @ X18 @ X21 )
= X21 )
& ( ( X1 @ X20 @ X21 )
= X20 )
& ( ( X1 @ X22 @ X18 )
= X22 )
& ( ( X0 @ X22 @ X18 )
= X18 )
& ( X20 != X21 )
& ( ( X1 @ X18 @ X21 )
= X18 )
& ( X19 != X22 )
& ( ( X1 @ X22 @ X21 )
= X22 )
& ( ( X1 @ X20 @ X19 )
= X22 )
& ( X18 != X19 )
& ( X18 != X21 )
& ( ( X1 @ X22 @ X20 )
= X22 )
& ( X20 != X22 )
& ( ( X0 @ X20 @ X18 )
= X20 )
& ( X19 != X20 )
& ( ( X1 @ X19 @ X18 )
= X22 )
& ( ( X0 @ X19 @ X21 )
= X21 )
& ( ( X0 @ X22 @ X19 )
= X19 ) )
& ! [X10: a] :
( ( X0 @ X10 @ X10 )
= X10 )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X9: a,X8: a] :
( ( X0 @ ( X1 @ X9 @ X8 ) @ X8 )
= X8 )
& ! [X4: a] :
( ( X1 @ X4 @ X4 )
= X4 )
& ! [X16: a,X17: a] :
( ( X1 @ ( X0 @ X17 @ X16 ) @ X16 )
= X16 )
& ! [X14: a,X15: a,X13: a] :
( ( X1 @ X15 @ ( X1 @ X14 @ X13 ) )
= ( X1 @ ( X1 @ X15 @ X14 ) @ X13 ) )
& ! [X5: a,X7: a,X6: a] :
( ( X0 @ X7 @ ( X0 @ X5 @ X6 ) )
= ( X0 @ ( X0 @ X7 @ X5 ) @ X6 ) )
& ! [X11: a,X12: a] :
( ( X1 @ X12 @ X11 )
= ( X1 @ X11 @ X12 ) ) ),
inference(ennf_transformation,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: a > a > a,X1: a > a > a] :
( ( ! [X10: a] :
( ( X0 @ X10 @ X10 )
= X10 )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X9: a,X8: a] :
( ( X0 @ ( X1 @ X9 @ X8 ) @ X8 )
= X8 )
& ! [X4: a] :
( ( X1 @ X4 @ X4 )
= X4 )
& ! [X16: a,X17: a] :
( ( X1 @ ( X0 @ X17 @ X16 ) @ X16 )
= X16 )
& ! [X14: a,X15: a,X13: a] :
( ( X1 @ X15 @ ( X1 @ X14 @ X13 ) )
= ( X1 @ ( X1 @ X15 @ X14 ) @ X13 ) )
& ! [X5: a,X7: a,X6: a] :
( ( X0 @ X7 @ ( X0 @ X5 @ X6 ) )
= ( X0 @ ( X0 @ X7 @ X5 ) @ X6 ) )
& ! [X11: a,X12: a] :
( ( X1 @ X12 @ X11 )
= ( X1 @ X11 @ X12 ) ) )
=> ( ? [X21: a,X20: a,X19: a,X18: a,X22: a] :
( ( X18 != X22 )
& ( X21 != X22 )
& ( ( X1 @ X19 @ X21 )
= X19 )
& ( ( X1 @ X22 @ X19 )
= X22 )
& ( ( X0 @ X22 @ X20 )
= X20 )
& ( X19 != X21 )
& ( ( X0 @ X22 @ X21 )
= X21 )
& ( ( X0 @ X20 @ X21 )
= X21 )
& ( ( X1 @ X20 @ X18 )
= X18 )
& ( ( X0 @ X20 @ X19 )
= X21 )
& ( ( X0 @ X19 @ X18 )
= X21 )
& ( X18 != X20 )
& ( ( X0 @ X18 @ X21 )
= X21 )
& ( ( X1 @ X20 @ X21 )
= X20 )
& ( ( X1 @ X22 @ X18 )
= X22 )
& ( ( X0 @ X22 @ X18 )
= X18 )
& ( X20 != X21 )
& ( ( X1 @ X18 @ X21 )
= X18 )
& ( X19 != X22 )
& ( ( X1 @ X22 @ X21 )
= X22 )
& ( ( X1 @ X20 @ X19 )
= X22 )
& ( X18 != X19 )
& ( X18 != X21 )
& ( ( X1 @ X22 @ X20 )
= X22 )
& ( X20 != X22 )
& ( ( X0 @ X20 @ X18 )
= X20 )
& ( X19 != X20 )
& ( ( X1 @ X19 @ X18 )
= X22 )
& ( ( X0 @ X19 @ X21 )
= X21 )
& ( ( X0 @ X22 @ X19 )
= X19 ) )
=> ~ ! [X24: a,X23: a,X25: a] :
( ( X1 @ X24 @ ( X0 @ X25 @ ( X1 @ X24 @ X23 ) ) )
= ( X0 @ ( X1 @ X24 @ X25 ) @ ( X1 @ X24 @ X23 ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X1: a > a > a,X0: a > a > a] :
( ( ! [X3: a,X2: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ! [X3: a,X4: a,X2: a] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
& ! [X3: a,X2: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a] :
( ( X1 @ X2 @ X2 )
= X2 )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X4: a,X3: a,X2: a] :
( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
= ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) )
& ! [X3: a,X2: a] :
( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
= X3 ) )
=> ( ? [X7: a,X6: a,X5: a,X3: a,X2: a] :
( ( ( X0 @ X2 @ X3 )
= X2 )
& ( ( X1 @ X5 @ X6 )
= X3 )
& ( X5 != X7 )
& ( ( X0 @ X5 @ X3 )
= X5 )
& ( ( X0 @ X2 @ X7 )
= X2 )
& ( ( X1 @ X2 @ X5 )
= X5 )
& ( ( X1 @ X2 @ X7 )
= X7 )
& ( ( X0 @ X5 @ X7 )
= X7 )
& ( ( X1 @ X6 @ X7 )
= X3 )
& ( X2 != X6 )
& ( X3 != X7 )
& ( ( X1 @ X2 @ X6 )
= X6 )
& ( X3 != X6 )
& ( ( X0 @ X5 @ X6 )
= X2 )
& ( X2 != X5 )
& ( ( X0 @ X7 @ X3 )
= X7 )
& ( X2 != X7 )
& ( ( X1 @ X5 @ X7 )
= X5 )
& ( ( X1 @ X2 @ X3 )
= X3 )
& ( X3 != X5 )
& ( ( X0 @ X6 @ X3 )
= X6 )
& ( ( X1 @ X7 @ X3 )
= X3 )
& ( ( X0 @ X2 @ X5 )
= X2 )
& ( ( X1 @ X5 @ X3 )
= X3 )
& ( ( X0 @ X2 @ X6 )
= X2 )
& ( ( X1 @ X6 @ X3 )
= X3 )
& ( ( X0 @ X6 @ X7 )
= X2 )
& ( X6 != X7 )
& ( X2 != X3 )
& ( X5 != X6 ) )
=> ~ ! [X4: a,X2: a,X3: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ ( X0 @ X2 @ X4 ) ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X1: a > a > a,X0: a > a > a] :
( ( ! [X3: a,X2: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ! [X3: a,X4: a,X2: a] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
& ! [X3: a,X2: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a] :
( ( X1 @ X2 @ X2 )
= X2 )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X4: a,X3: a,X2: a] :
( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
= ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) )
& ! [X3: a,X2: a] :
( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
= X3 ) )
=> ( ? [X7: a,X6: a,X5: a,X3: a,X2: a] :
( ( ( X0 @ X2 @ X3 )
= X2 )
& ( ( X1 @ X5 @ X6 )
= X3 )
& ( X5 != X7 )
& ( ( X0 @ X5 @ X3 )
= X5 )
& ( ( X0 @ X2 @ X7 )
= X2 )
& ( ( X1 @ X2 @ X5 )
= X5 )
& ( ( X1 @ X2 @ X7 )
= X7 )
& ( ( X0 @ X5 @ X7 )
= X7 )
& ( ( X1 @ X6 @ X7 )
= X3 )
& ( X2 != X6 )
& ( X3 != X7 )
& ( ( X1 @ X2 @ X6 )
= X6 )
& ( X3 != X6 )
& ( ( X0 @ X5 @ X6 )
= X2 )
& ( X2 != X5 )
& ( ( X0 @ X7 @ X3 )
= X7 )
& ( X2 != X7 )
& ( ( X1 @ X5 @ X7 )
= X5 )
& ( ( X1 @ X2 @ X3 )
= X3 )
& ( X3 != X5 )
& ( ( X0 @ X6 @ X3 )
= X6 )
& ( ( X1 @ X7 @ X3 )
= X3 )
& ( ( X0 @ X2 @ X5 )
= X2 )
& ( ( X1 @ X5 @ X3 )
= X3 )
& ( ( X0 @ X2 @ X6 )
= X2 )
& ( ( X1 @ X6 @ X3 )
= X3 )
& ( ( X0 @ X6 @ X7 )
= X2 )
& ( X6 != X7 )
& ( X2 != X3 )
& ( X5 != X6 ) )
=> ~ ! [X4: a,X2: a,X3: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ ( X0 @ X2 @ X4 ) ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.3pSN5iyBJd/DTF2THF_15533.p',cPENTAGON_THM2B_pme) ).
thf(f2416,plain,
sK5 = sK3,
inference(forward_demodulation,[status(thm)],[f2415,f60]) ).
thf(f60,plain,
( ( sK0 @ sK3 @ ( sK1 @ sK3 @ sK4 ) )
= sK3 ),
inference(definition_unfolding,[status(thm)],[f30,f34]) ).
thf(f34,plain,
( ( sK1 @ sK3 @ sK4 )
= sK2 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f30,plain,
( sK3
= ( sK0 @ sK3 @ sK2 ) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f2415,plain,
( sK5
= ( sK0 @ sK3 @ ( sK1 @ sK3 @ sK4 ) ) ),
inference(forward_demodulation,[status(thm)],[f2385,f58]) ).
thf(f58,plain,
( ( sK1 @ sK3 @ sK4 )
= ( sK1 @ sK4 @ sK5 ) ),
inference(definition_unfolding,[status(thm)],[f33,f34]) ).
thf(f33,plain,
( ( sK1 @ sK4 @ sK5 )
= sK2 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f2385,plain,
( sK5
= ( sK0 @ sK3 @ ( sK1 @ sK4 @ sK5 ) ) ),
inference(superposition,[status(thm)],[f301,f62]) ).
thf(f62,plain,
( sK5
= ( sK1 @ ( sK0 @ sK3 @ sK4 ) @ sK5 ) ),
inference(definition_unfolding,[status(thm)],[f28,f23]) ).
thf(f23,plain,
( ( sK0 @ sK3 @ sK4 )
= sK6 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f28,plain,
( sK5
= ( sK1 @ sK6 @ sK5 ) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f301,plain,
! [X0: a] :
( ( sK0 @ sK3 @ ( sK1 @ X0 @ sK5 ) )
= ( sK1 @ ( sK0 @ sK3 @ X0 ) @ sK5 ) ),
inference(superposition,[status(thm)],[f11,f35]) ).
thf(f35,plain,
( sK5
= ( sK0 @ sK3 @ sK5 ) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f11,plain,
! [X24: a,X25: a,X23: a] :
( ( sK0 @ X23 @ ( sK1 @ X25 @ ( sK0 @ X23 @ X24 ) ) )
= ( sK1 @ ( sK0 @ X23 @ X25 ) @ ( sK0 @ X23 @ X24 ) ) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU999^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.33 % Computer : n009.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue Feb 24 12:38:25 EST 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.44 ---- Original DTF file ---
% 0.18/0.45 thf(spec,logic,$$dhol).
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 % File : SEU999^5 : TPTP v9.2.1. Released v4.0.0.
% 0.18/0.45 % Domain : Set Theory (Relations)
% 0.18/0.45 % Problem : TPS problem PENTAGON-THM2B
% 0.18/0.45 % Version : Especial.
% 0.18/0.45 % English :
% 0.18/0.45
% 0.18/0.45 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.18/0.45 % Source : [Bro09]
% 0.18/0.45 % Names : tps_0561 [Bro09]
% 0.18/0.45 % : PENTAGON-THM2B [TPS]
% 0.18/0.45
% 0.18/0.45 % Status : Theorem
% 0.18/0.45 % Rating : 0.22 v9.1.0, 0.25 v9.0.0, 0.30 v8.2.0, 0.23 v8.1.0, 0.09 v7.5.0, 0.14 v7.4.0, 0.22 v7.2.0, 0.12 v7.1.0, 0.38 v7.0.0, 0.43 v6.4.0, 0.50 v6.3.0, 0.60 v6.2.0, 0.57 v6.1.0, 0.43 v5.5.0, 0.67 v5.4.0, 0.80 v5.2.0, 1.00 v5.0.0, 0.60 v4.1.0, 0.67 v4.0.0
% 0.18/0.45 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.18/0.45 % Number of atoms : 39 ( 39 equ; 0 cnn)
% 0.18/0.45 % Maximal formula atoms : 39 ( 39 avg)
% 0.18/0.45 % Number of connectives : 137 ( 11 ~; 0 |; 36 &; 88 @)
% 0.18/0.45 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.18/0.45 % Maximal formula depth : 39 ( 39 avg)
% 0.18/0.45 % Number of types : 1 ( 1 usr)
% 0.18/0.45 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 0.18/0.45 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.18/0.45 % Number of variables : 26 ( 0 ^; 21 !; 5 ?; 26 :)
% 0.18/0.45 % SPC : TH0_THM_EQU_NAR
% 0.18/0.45
% 0.18/0.45 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.18/0.45 % project in the Department of Mathematical Sciences at Carnegie
% 0.18/0.45 % Mellon University. Distributed under the Creative Commons copyleft
% 0.18/0.45 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.18/0.45 % : Polymorphic definitions expanded.
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 thf(a_type,type,
% 0.18/0.45 a: $tType ).
% 0.18/0.45
% 0.18/0.45 thf(cPENTAGON_THM2B_pme,conjecture,
% 0.18/0.45 ! [JOIN: a > a > a,MEET: a > a > a] :
% 0.18/0.45 ( ( ! [Xx: a] :
% 0.18/0.45 ( ( JOIN @ Xx @ Xx )
% 0.18/0.45 = Xx )
% 0.18/0.45 & ! [Xx: a] :
% 0.18/0.45 ( ( MEET @ Xx @ Xx )
% 0.18/0.45 = Xx )
% 0.18/0.45 & ! [Xx: a,Xy: a,Xz: a] :
% 0.18/0.45 ( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
% 0.18/0.45 = ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
% 0.18/0.45 & ! [Xx: a,Xy: a,Xz: a] :
% 0.18/0.45 ( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
% 0.18/0.45 = ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
% 0.18/0.45 & ! [Xx: a,Xy: a] :
% 0.18/0.45 ( ( JOIN @ Xx @ Xy )
% 0.18/0.45 = ( JOIN @ Xy @ Xx ) )
% 0.18/0.45 & ! [Xx: a,Xy: a] :
% 0.18/0.45 ( ( MEET @ Xx @ Xy )
% 0.18/0.45 = ( MEET @ Xy @ Xx ) )
% 0.18/0.45 & ! [Xx: a,Xy: a] :
% 0.18/0.45 ( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
% 0.18/0.45 = Xy )
% 0.18/0.45 & ! [Xx: a,Xy: a] :
% 0.18/0.45 ( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
% 0.18/0.45 = Xy ) )
% 0.18/0.45 => ( ? [Xx: a,Xy: a,Xa: a,Xb: a,Xc: a] :
% 0.18/0.45 ( ( Xa != Xb )
% 0.18/0.45 & ( Xa != Xc )
% 0.18/0.45 & ( Xa != Xx )
% 0.18/0.45 & ( Xa != Xy )
% 0.18/0.45 & ( Xb != Xc )
% 0.18/0.45 & ( Xb != Xx )
% 0.18/0.45 & ( Xb != Xy )
% 0.18/0.45 & ( Xc != Xx )
% 0.18/0.45 & ( Xc != Xy )
% 0.18/0.45 & ( Xx != Xy )
% 0.18/0.45 & ( ( MEET @ Xx @ Xy )
% 0.18/0.45 = Xy )
% 0.18/0.45 & ( ( JOIN @ Xx @ Xy )
% 0.18/0.45 = Xx )
% 0.18/0.45 & ( ( MEET @ Xx @ Xa )
% 0.18/0.45 = Xa )
% 0.18/0.45 & ( ( JOIN @ Xx @ Xa )
% 0.18/0.45 = Xx )
% 0.18/0.45 & ( ( MEET @ Xx @ Xb )
% 0.18/0.45 = Xb )
% 0.18/0.45 & ( ( JOIN @ Xx @ Xb )
% 0.18/0.45 = Xx )
% 0.18/0.45 & ( ( MEET @ Xx @ Xc )
% 0.18/0.45 = Xc )
% 0.18/0.45 & ( ( JOIN @ Xx @ Xc )
% 0.18/0.45 = Xx )
% 0.18/0.45 & ( ( MEET @ Xa @ Xb )
% 0.18/0.45 = Xy )
% 0.18/0.45 & ( ( JOIN @ Xa @ Xb )
% 0.18/0.45 = Xx )
% 0.18/0.45 & ( ( MEET @ Xa @ Xc )
% 0.18/0.45 = Xa )
% 0.18/0.45 & ( ( JOIN @ Xa @ Xc )
% 0.18/0.45 = Xc )
% 0.18/0.45 & ( ( MEET @ Xa @ Xy )
% 0.18/0.45 = Xy )
% 0.18/0.45 & ( ( JOIN @ Xa @ Xy )
% 0.18/0.45 = Xa )
% 0.18/0.45 & ( ( MEET @ Xb @ Xc )
% 0.18/0.45 = Xy )
% 0.18/0.45 & ( ( JOIN @ Xb @ Xc )
% 0.18/0.45 = Xx )
% 0.18/0.45 & ( ( MEET @ Xb @ Xy )
% 0.18/0.45 = Xy )
% 0.18/0.45 & ( ( JOIN @ Xb @ Xy )
% 0.18/0.45 = Xb )
% 0.18/0.45 & ( ( MEET @ Xc @ Xy )
% 0.18/0.45 = Xy )
% 0.18/0.45 & ( ( JOIN @ Xc @ Xy )
% 0.18/0.45 = Xc ) )
% 0.18/0.45 => ~ ! [Xx: a,Xy: a,Xz: a] :
% 0.18/0.45 ( ( JOIN @ Xx @ ( MEET @ Xy @ ( JOIN @ Xx @ Xz ) ) )
% 0.18/0.45 = ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) ) ) ) ).
% 0.18/0.45
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 ------------------------
% 1.55/1.23 ---- Embedded in THF ---
% 1.55/1.23 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.55/1.23 %%% Generated on Tue Feb 24 12:38:26 EST 2026
% 1.55/1.23 %%% using '$$dhol' embedding, version 1.3.0.
% 1.55/1.23 %%% Logic specification used:
% 1.55/1.23 %%% thf(spec, logic, $$dhol).
% 1.55/1.23
% 1.55/1.23 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.3pSN5iyBJd/DTF2DTF15533.p
% See solution above
% 1.55/1.23 ------------------------
% 1.55/1.24 ---- Cleaned THF ---
% 1.55/1.25 thf(a_type,type,
% 1.55/1.25 a: $tType ).
% 1.55/1.25
% 1.55/1.25 thf(cPENTAGON_THM2B_pme,conjecture,
% 1.55/1.25 ! [JOIN: a > a > a,MEET: a > a > a] :
% 1.55/1.25 ( ( ! [Xx: a] :
% 1.55/1.25 ( ( JOIN @ Xx @ Xx )
% 1.55/1.25 = Xx )
% 1.55/1.25 & ! [Xx: a] :
% 1.55/1.25 ( ( MEET @ Xx @ Xx )
% 1.55/1.25 = Xx )
% 1.55/1.25 & ! [Xx: a,Xy: a,Xz: a] :
% 1.55/1.25 ( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
% 1.55/1.25 = ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
% 1.55/1.25 & ! [Xx: a,Xy: a,Xz: a] :
% 1.55/1.25 ( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
% 1.55/1.25 = ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
% 1.55/1.25 & ! [Xx: a,Xy: a] :
% 1.55/1.25 ( ( JOIN @ Xx @ Xy )
% 1.55/1.25 = ( JOIN @ Xy @ Xx ) )
% 1.55/1.25 & ! [Xx: a,Xy: a] :
% 1.55/1.25 ( ( MEET @ Xx @ Xy )
% 1.55/1.25 = ( MEET @ Xy @ Xx ) )
% 1.55/1.25 & ! [Xx: a,Xy: a] :
% 1.55/1.25 ( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
% 1.55/1.25 = Xy )
% 1.55/1.25 & ! [Xx: a,Xy: a] :
% 1.55/1.25 ( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
% 1.55/1.25 = Xy ) )
% 1.55/1.25 => ( ? [Xx: a,Xy: a,Xa: a,Xb: a,Xc: a] :
% 1.55/1.25 ( ( Xa != Xb )
% 1.55/1.25 & ( Xa != Xc )
% 1.55/1.25 & ( Xa != Xx )
% 1.55/1.25 & ( Xa != Xy )
% 1.55/1.25 & ( Xb != Xc )
% 1.55/1.25 & ( Xb != Xx )
% 1.55/1.25 & ( Xb != Xy )
% 1.55/1.25 & ( Xc != Xx )
% 1.55/1.25 & ( Xc != Xy )
% 1.55/1.25 & ( Xx != Xy )
% 1.55/1.25 & ( ( MEET @ Xx @ Xy )
% 1.55/1.25 = Xy )
% 1.55/1.25 & ( ( JOIN @ Xx @ Xy )
% 1.55/1.25 = Xx )
% 1.55/1.25 & ( ( MEET @ Xx @ Xa )
% 1.55/1.25 = Xa )
% 1.55/1.25 & ( ( JOIN @ Xx @ Xa )
% 1.55/1.25 = Xx )
% 1.55/1.25 & ( ( MEET @ Xx @ Xb )
% 1.55/1.25 = Xb )
% 1.55/1.25 & ( ( JOIN @ Xx @ Xb )
% 1.55/1.25 = Xx )
% 1.55/1.25 & ( ( MEET @ Xx @ Xc )
% 1.55/1.25 = Xc )
% 1.55/1.25 & ( ( JOIN @ Xx @ Xc )
% 1.55/1.25 = Xx )
% 1.55/1.25 & ( ( MEET @ Xa @ Xb )
% 1.55/1.25 = Xy )
% 1.55/1.25 & ( ( JOIN @ Xa @ Xb )
% 1.55/1.25 = Xx )
% 1.55/1.25 & ( ( MEET @ Xa @ Xc )
% 1.55/1.25 = Xa )
% 1.55/1.25 & ( ( JOIN @ Xa @ Xc )
% 1.55/1.25 = Xc )
% 1.55/1.25 & ( ( MEET @ Xa @ Xy )
% 1.55/1.25 = Xy )
% 1.55/1.25 & ( ( JOIN @ Xa @ Xy )
% 1.55/1.25 = Xa )
% 1.55/1.25 & ( ( MEET @ Xb @ Xc )
% 1.55/1.25 = Xy )
% 1.55/1.25 & ( ( JOIN @ Xb @ Xc )
% 1.55/1.25 = Xx )
% 1.55/1.25 & ( ( MEET @ Xb @ Xy )
% 1.55/1.25 = Xy )
% 1.55/1.25 & ( ( JOIN @ Xb @ Xy )
% 1.55/1.25 = Xb )
% 1.55/1.25 & ( ( MEET @ Xc @ Xy )
% 1.55/1.25 = Xy )
% 1.55/1.25 & ( ( JOIN @ Xc @ Xy )
% 1.55/1.25 = Xc ) )
% 1.55/1.25 => ~ ! [Xx: a,Xy: a,Xz: a] :
% 1.55/1.25 ( ( JOIN @ Xx @ ( MEET @ Xy @ ( JOIN @ Xx @ Xz ) ) )
% 1.55/1.25 = ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) ) ) ) ).
% 1.55/1.25 ------------------------
% 1.55/1.26 % (15685)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_15533 for (3000ds/4Mi)
% 1.55/1.26 % (15690)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_15533 for (3000ds/18Mi)
% 1.55/1.26 % (15685)Instruction limit reached!
% 1.55/1.26 % (15685)------------------------------
% 1.55/1.26 % (15685)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.26 % (15685)Termination reason: Unknown
% 1.55/1.26 % (15685)Termination phase: Saturation
% 1.55/1.26
% 1.55/1.26 % (15685)Memory used [KB]: 5500
% 1.55/1.26 % (15685)Time elapsed: 0.003 s
% 1.55/1.26 % (15685)Instructions burned: 5 (million)
% 1.55/1.26 % (15685)------------------------------
% 1.55/1.26 % (15685)------------------------------
% 1.55/1.27 % (15684)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_15533 for (3000ds/183Mi)
% 1.55/1.27 % (15690)Instruction limit reached!
% 1.55/1.27 % (15690)------------------------------
% 1.55/1.27 % (15690)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.27 % (15690)Termination reason: Unknown
% 1.55/1.27 % (15690)Termination phase: Saturation
% 1.55/1.27
% 1.55/1.27 % (15690)Memory used [KB]: 5628
% 1.55/1.27 % (15690)Time elapsed: 0.008 s
% 1.55/1.27 % (15690)Instructions burned: 19 (million)
% 1.55/1.27 % (15690)------------------------------
% 1.55/1.27 % (15690)------------------------------
% 1.55/1.27 % (15687)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_15533 for (3000ds/2Mi)
% 1.55/1.27 % (15688)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_15533 for (3000ds/2Mi)
% 1.55/1.27 % (15686)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_15533 for (3000ds/27Mi)
% 1.55/1.27 % (15687)Instruction limit reached!
% 1.55/1.27 % (15687)------------------------------
% 1.55/1.27 % (15687)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.27 % (15687)Termination reason: Unknown
% 1.55/1.27 % (15687)Termination phase: Preprocessing 1
% 1.55/1.27
% 1.55/1.27 % (15687)Memory used [KB]: 1023
% 1.55/1.27 % (15687)Time elapsed: 0.003 s
% 1.55/1.27 % (15687)Instructions burned: 2 (million)
% 1.55/1.27 % (15687)------------------------------
% 1.55/1.27 % (15687)------------------------------
% 1.55/1.27 % (15688)Instruction limit reached!
% 1.55/1.27 % (15688)------------------------------
% 1.55/1.27 % (15688)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.27 % (15688)Termination reason: Unknown
% 1.55/1.27 % (15688)Termination phase: shuffling
% 1.55/1.27
% 1.55/1.27 % (15688)Memory used [KB]: 1023
% 1.55/1.27 % (15688)Time elapsed: 0.003 s
% 1.55/1.27 % (15688)Instructions burned: 2 (million)
% 1.55/1.27 % (15688)------------------------------
% 1.55/1.27 % (15688)------------------------------
% 1.55/1.27 % (15691)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_15533 for (2999ds/3Mi)
% 1.55/1.27 % (15691)Instruction limit reached!
% 1.55/1.27 % (15691)------------------------------
% 1.55/1.27 % (15691)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.27 % (15691)Termination reason: Unknown
% 1.55/1.27 % (15691)Termination phase: Preprocessing 3
% 1.55/1.27
% 1.55/1.27 % (15691)Memory used [KB]: 1023
% 1.55/1.27 % (15691)Time elapsed: 0.002 s
% 1.55/1.27 % (15691)Instructions burned: 3 (million)
% 1.55/1.27 % (15691)------------------------------
% 1.55/1.27 % (15691)------------------------------
% 1.55/1.27 % (15689)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_15533 for (3000ds/275Mi)
% 1.55/1.28 % (15693)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_15533 for (2999ds/37Mi)
% 1.55/1.28 % (15700)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_15533 for (2999ds/1041Mi)
% 1.55/1.29 % (15686)Instruction limit reached!
% 1.55/1.29 % (15686)------------------------------
% 1.55/1.29 % (15686)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.29 % (15686)Termination reason: Unknown
% 1.55/1.29 % (15686)Termination phase: Saturation
% 1.55/1.29
% 1.55/1.29 % (15686)Memory used [KB]: 5628
% 1.55/1.29 % (15686)Time elapsed: 0.022 s
% 1.55/1.29 % (15686)Instructions burned: 27 (million)
% 1.55/1.29 % (15686)------------------------------
% 1.55/1.29 % (15686)------------------------------
% 1.55/1.29 % (15695)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_15533 for (2999ds/15Mi)
% 1.55/1.29 % (15696)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_15533 for (2999ds/3Mi)
% 1.55/1.29 % (15693)Instruction limit reached!
% 1.55/1.29 % (15693)------------------------------
% 1.55/1.29 % (15693)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.29 % (15693)Termination reason: Unknown
% 1.55/1.29 % (15693)Termination phase: Saturation
% 1.55/1.29
% 1.55/1.29 % (15693)Memory used [KB]: 5628
% 1.55/1.29 % (15693)Time elapsed: 0.017 s
% 1.55/1.29 % (15693)Instructions burned: 38 (million)
% 1.55/1.29 % (15693)------------------------------
% 1.55/1.29 % (15693)------------------------------
% 1.55/1.29 % (15696)Instruction limit reached!
% 1.55/1.29 % (15696)------------------------------
% 1.55/1.29 % (15696)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.29 % (15696)Termination reason: Unknown
% 1.55/1.29 % (15696)Termination phase: Preprocessing 3
% 1.55/1.29
% 1.55/1.29 % (15696)Memory used [KB]: 1023
% 1.55/1.29 % (15696)Time elapsed: 0.005 s
% 1.55/1.29 % (15696)Instructions burned: 3 (million)
% 1.55/1.29 % (15696)------------------------------
% 1.55/1.29 % (15696)------------------------------
% 1.62/1.30 % (15695)Instruction limit reached!
% 1.62/1.30 % (15695)------------------------------
% 1.62/1.30 % (15695)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.30 % (15695)Termination reason: Unknown
% 1.62/1.30 % (15695)Termination phase: Saturation
% 1.62/1.30
% 1.62/1.30 % (15695)Memory used [KB]: 5756
% 1.62/1.30 % (15695)Time elapsed: 0.017 s
% 1.62/1.30 % (15695)Instructions burned: 15 (million)
% 1.62/1.30 % (15695)------------------------------
% 1.62/1.30 % (15695)------------------------------
% 1.62/1.31 % (15711)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_15533 for (2999ds/16Mi)
% 1.62/1.32 % (15711)Instruction limit reached!
% 1.62/1.32 % (15711)------------------------------
% 1.62/1.32 % (15711)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.32 % (15711)Termination reason: Unknown
% 1.62/1.32 % (15711)Termination phase: Saturation
% 1.62/1.32
% 1.62/1.32 % (15711)Memory used [KB]: 5884
% 1.62/1.32 % (15711)Time elapsed: 0.010 s
% 1.62/1.32 % (15711)Instructions burned: 16 (million)
% 1.62/1.32 % (15711)------------------------------
% 1.62/1.32 % (15711)------------------------------
% 1.62/1.32 % (15710)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_15533 for (2999ds/7Mi)
% 1.62/1.32 % (15710)Instruction limit reached!
% 1.62/1.32 % (15710)------------------------------
% 1.62/1.32 % (15710)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.32 % (15710)Termination reason: Unknown
% 1.62/1.32 % (15710)Termination phase: Saturation
% 1.62/1.32
% 1.62/1.32 % (15710)Memory used [KB]: 1023
% 1.62/1.32 % (15710)Time elapsed: 0.009 s
% 1.62/1.32 % (15710)Instructions burned: 7 (million)
% 1.62/1.32 % (15710)------------------------------
% 1.62/1.32 % (15710)------------------------------
% 1.62/1.32 % (15712)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_15533 for (2999ds/3Mi)
% 1.62/1.32 % (15712)Instruction limit reached!
% 1.62/1.32 % (15712)------------------------------
% 1.62/1.32 % (15712)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.32 % (15712)Termination reason: Unknown
% 1.62/1.32 % (15712)Termination phase: Preprocessing 3
% 1.62/1.32
% 1.62/1.32 % (15712)Memory used [KB]: 1023
% 1.62/1.32 % (15712)Time elapsed: 0.005 s
% 1.62/1.32 % (15712)Instructions burned: 3 (million)
% 1.62/1.32 % (15712)------------------------------
% 1.62/1.32 % (15712)------------------------------
% 1.62/1.33 % (15717)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_15533 for (2999ds/7Mi)
% 1.62/1.33 % (15713)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_15533 for (2999ds/3Mi)
% 1.62/1.33 % (15717)Instruction limit reached!
% 1.62/1.33 % (15717)------------------------------
% 1.62/1.33 % (15717)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.33 % (15717)Termination reason: Unknown
% 1.62/1.33 % (15717)Termination phase: Saturation
% 1.62/1.33
% 1.62/1.33 % (15717)Memory used [KB]: 5500
% 1.62/1.33 % (15717)Time elapsed: 0.005 s
% 1.62/1.33 % (15717)Instructions burned: 7 (million)
% 1.62/1.33 % (15717)------------------------------
% 1.62/1.33 % (15717)------------------------------
% 1.62/1.34 % (15713)Instruction limit reached!
% 1.62/1.34 % (15713)------------------------------
% 1.62/1.34 % (15713)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.34 % (15713)Termination reason: Unknown
% 1.62/1.34 % (15713)Termination phase: Preprocessing 3
% 1.62/1.34
% 1.62/1.34 % (15713)Memory used [KB]: 1023
% 1.62/1.34 % (15713)Time elapsed: 0.005 s
% 1.62/1.34 % (15713)Instructions burned: 3 (million)
% 1.62/1.34 % (15713)------------------------------
% 1.62/1.34 % (15713)------------------------------
% 1.62/1.34 % (15719)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_15533 for (2999ds/3Mi)
% 1.62/1.34 % (15719)Instruction limit reached!
% 1.62/1.34 % (15719)------------------------------
% 1.62/1.34 % (15719)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.34 % (15719)Termination reason: Unknown
% 1.62/1.34 % (15719)Termination phase: shuffling
% 1.62/1.34
% 1.62/1.34 % (15719)Memory used [KB]: 1023
% 1.62/1.34 % (15719)Time elapsed: 0.003 s
% 1.62/1.34 % (15719)Instructions burned: 4 (million)
% 1.62/1.34 % (15719)------------------------------
% 1.62/1.34 % (15719)------------------------------
% 1.62/1.35 % (15723)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_15533 for (2999ds/18Mi)
% 1.62/1.36 % (15720)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_15533 for (2999ds/4Mi)
% 1.62/1.36 % (15725)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_15533 for (2999ds/6Mi)
% 1.62/1.36 % (15724)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_15533 for (2999ds/710Mi)
% 1.62/1.36 % (15723)Instruction limit reached!
% 1.62/1.36 % (15723)------------------------------
% 1.62/1.36 % (15723)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.36 % (15723)Termination reason: Unknown
% 1.62/1.36 % (15723)Termination phase: Saturation
% 1.62/1.36
% 1.62/1.36 % (15723)Memory used [KB]: 5628
% 1.62/1.36 % (15723)Time elapsed: 0.011 s
% 1.62/1.36 % (15723)Instructions burned: 19 (million)
% 1.62/1.36 % (15723)------------------------------
% 1.62/1.36 % (15723)------------------------------
% 1.62/1.36 % (15720)Instruction limit reached!
% 1.62/1.36 % (15720)------------------------------
% 1.62/1.36 % (15720)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.36 % (15720)Termination reason: Unknown
% 1.62/1.36 % (15720)Termination phase: Property scanning
% 1.62/1.36
% 1.62/1.36 % (15720)Memory used [KB]: 1023
% 1.62/1.36 % (15720)Time elapsed: 0.005 s
% 1.62/1.36 % (15725)Instruction limit reached!
% 1.62/1.36 % (15725)------------------------------
% 1.62/1.36 % (15725)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.36 % (15720)Instructions burned: 5 (million)
% 1.62/1.36 % (15720)------------------------------
% 1.62/1.36 % (15720)------------------------------
% 1.62/1.36 % (15725)Termination reason: Unknown
% 1.62/1.36 % (15725)Termination phase: Saturation
% 1.62/1.36
% 1.62/1.36 % (15725)Memory used [KB]: 5500
% 1.62/1.36 % (15725)Time elapsed: 0.004 s
% 1.62/1.36 % (15725)Instructions burned: 7 (million)
% 1.62/1.36 % (15725)------------------------------
% 1.62/1.36 % (15725)------------------------------
% 1.62/1.37 % (15684)Instruction limit reached!
% 1.62/1.37 % (15684)------------------------------
% 1.62/1.37 % (15684)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.37 % (15684)Termination reason: Unknown
% 1.62/1.37 % (15684)Termination phase: Saturation
% 1.62/1.37
% 1.62/1.37 % (15684)Memory used [KB]: 6908
% 1.62/1.37 % (15684)Time elapsed: 0.109 s
% 1.62/1.37 % (15684)Instructions burned: 184 (million)
% 1.62/1.37 % (15684)------------------------------
% 1.62/1.37 % (15684)------------------------------
% 1.62/1.37 % (15731)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_15533 for (2998ds/5Mi)
% 1.62/1.38 % (15731)Instruction limit reached!
% 1.62/1.38 % (15731)------------------------------
% 1.62/1.38 % (15731)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.38 % (15731)Termination reason: Unknown
% 1.62/1.38 % (15731)Termination phase: Saturation
% 1.62/1.38
% 1.62/1.38 % (15731)Memory used [KB]: 5500
% 1.62/1.38 % (15731)Time elapsed: 0.003 s
% 1.62/1.38 % (15731)Instructions burned: 7 (million)
% 1.62/1.38 % (15731)------------------------------
% 1.62/1.38 % (15731)------------------------------
% 1.62/1.38 % (15729)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_15533 for (2998ds/902Mi)
% 1.62/1.38 % (15730)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_15533 for (2998ds/21Mi)
% 1.62/1.39 % (15736)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_15533 for (2998ds/377Mi)
% 1.62/1.39 % (15735)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_15533 for (2998ds/6Mi)
% 1.62/1.39 % (15735)Instruction limit reached!
% 1.62/1.39 % (15735)------------------------------
% 1.62/1.39 % (15735)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.39 % (15735)Termination reason: Unknown
% 1.62/1.39 % (15735)Termination phase: Property scanning
% 1.62/1.39
% 1.62/1.39 % (15735)Memory used [KB]: 1023
% 1.62/1.39 % (15735)Time elapsed: 0.005 s
% 1.62/1.39 % (15735)Instructions burned: 7 (million)
% 1.62/1.39 % (15735)------------------------------
% 1.62/1.39 % (15735)------------------------------
% 1.62/1.39 % (15730)Instruction limit reached!
% 1.62/1.39 % (15730)------------------------------
% 1.62/1.39 % (15730)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.39 % (15730)Termination reason: Unknown
% 1.62/1.39 % (15730)Termination phase: Saturation
% 1.62/1.39
% 1.62/1.39 % (15730)Memory used [KB]: 5756
% 1.62/1.39 % (15730)Time elapsed: 0.014 s
% 1.62/1.39 % (15730)Instructions burned: 21 (million)
% 1.62/1.39 % (15730)------------------------------
% 1.62/1.39 % (15730)------------------------------
% 1.62/1.41 % (15743)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_15533 for (2998ds/779Mi)
% 1.62/1.42 % (15744)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_15533 for (2998ds/19Mi)
% 1.62/1.42 % (15744)Instruction limit reached!
% 1.62/1.42 % (15744)------------------------------
% 1.62/1.42 % (15744)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.42 % (15744)Termination reason: Unknown
% 1.62/1.42 % (15744)Termination phase: Saturation
% 1.62/1.42
% 1.62/1.42 % (15744)Memory used [KB]: 5628
% 1.62/1.42 % (15744)Time elapsed: 0.031 s
% 1.62/1.42 % (15744)Instructions burned: 19 (million)
% 1.62/1.42 % (15744)------------------------------
% 1.62/1.42 % (15744)------------------------------
% 1.62/1.43 % (15749)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_15533 for (2998ds/879Mi)
% 1.62/1.44 % (15689)Instruction limit reached!
% 1.62/1.44 % (15689)------------------------------
% 1.62/1.44 % (15689)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.44 % (15689)Termination reason: Unknown
% 1.62/1.44 % (15689)Termination phase: Saturation
% 1.62/1.44
% 1.62/1.44 % (15689)Memory used [KB]: 6524
% 1.62/1.44 % (15689)Time elapsed: 0.173 s
% 1.62/1.44 % (15689)Instructions burned: 276 (million)
% 1.62/1.44 % (15689)------------------------------
% 1.62/1.44 % (15689)------------------------------
% 1.62/1.45 % (15751)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_15533 for (2998ds/17Mi)
% 1.62/1.46 % (15751)Instruction limit reached!
% 1.62/1.46 % (15751)------------------------------
% 1.62/1.46 % (15751)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.46 % (15751)Termination reason: Unknown
% 1.62/1.46 % (15751)Termination phase: Saturation
% 1.62/1.46
% 1.62/1.46 % (15751)Memory used [KB]: 5756
% 1.62/1.46 % (15751)Time elapsed: 0.008 s
% 1.62/1.46 % (15751)Instructions burned: 19 (million)
% 1.62/1.46 % (15751)------------------------------
% 1.62/1.46 % (15751)------------------------------
% 1.62/1.47 % (15753)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_15533 for (2998ds/3Mi)
% 1.62/1.47 % (15753)Instruction limit reached!
% 1.62/1.47 % (15753)------------------------------
% 1.62/1.47 % (15753)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.47 % (15753)Termination reason: Unknown
% 1.62/1.47 % (15753)Termination phase: Preprocessing 3
% 1.62/1.47
% 1.62/1.47 % (15753)Memory used [KB]: 1023
% 1.62/1.47 % (15753)Time elapsed: 0.002 s
% 1.62/1.47 % (15753)Instructions burned: 3 (million)
% 1.62/1.47 % (15753)------------------------------
% 1.62/1.47 % (15753)------------------------------
% 1.62/1.48 % (15754)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_15533 for (2997ds/30Mi)
% 1.62/1.50 % (15754)Instruction limit reached!
% 1.62/1.50 % (15754)------------------------------
% 1.62/1.50 % (15754)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.50 % (15754)Termination reason: Unknown
% 1.62/1.50 % (15754)Termination phase: Saturation
% 1.62/1.50
% 1.62/1.50 % (15754)Memory used [KB]: 5628
% 1.62/1.50 % (15754)Time elapsed: 0.019 s
% 1.62/1.50 % (15754)Instructions burned: 30 (million)
% 1.62/1.50 % (15754)------------------------------
% 1.62/1.50 % (15754)------------------------------
% 1.62/1.52 % (15757)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_15533 for (2997ds/127Mi)
% 1.62/1.56 % (15736)Instruction limit reached!
% 1.62/1.56 % (15736)------------------------------
% 1.62/1.56 % (15736)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.56 % (15736)Termination reason: Unknown
% 1.62/1.56 % (15736)Termination phase: Saturation
% 1.62/1.56
% 1.62/1.56 % (15736)Memory used [KB]: 6524
% 1.62/1.56 % (15736)Time elapsed: 0.177 s
% 1.62/1.56 % (15736)Instructions burned: 378 (million)
% 1.62/1.56 % (15736)------------------------------
% 1.62/1.56 % (15736)------------------------------
% 1.62/1.58 % (15759)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_15533 for (2997ds/100Mi)
% 1.62/1.59 % (15757)Instruction limit reached!
% 1.62/1.59 % (15757)------------------------------
% 1.62/1.59 % (15757)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.59 % (15757)Termination reason: Unknown
% 1.62/1.59 % (15757)Termination phase: Saturation
% 1.62/1.59
% 1.62/1.59 % (15757)Memory used [KB]: 6012
% 1.62/1.59 % (15757)Time elapsed: 0.071 s
% 1.62/1.59 % (15757)Instructions burned: 128 (million)
% 1.62/1.59 % (15757)------------------------------
% 1.62/1.59 % (15757)------------------------------
% 1.62/1.60 % (15760)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_15533 for (2996ds/3Mi)
% 1.62/1.60 % (15760)Instruction limit reached!
% 1.62/1.60 % (15760)------------------------------
% 1.62/1.60 % (15760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.60 % (15760)Termination reason: Unknown
% 1.62/1.60 % (15760)Termination phase: shuffling
% 1.62/1.60
% 1.62/1.60 % (15760)Memory used [KB]: 1023
% 1.62/1.60 % (15760)Time elapsed: 0.002 s
% 1.62/1.60 % (15760)Instructions burned: 3 (million)
% 1.62/1.60 % (15760)------------------------------
% 1.62/1.60 % (15760)------------------------------
% 1.62/1.61 % (15761)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_15533 for (2996ds/20Mi)
% 1.62/1.62 % (15761)Instruction limit reached!
% 1.62/1.62 % (15761)------------------------------
% 1.62/1.62 % (15761)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.62 % (15761)Termination reason: Unknown
% 1.62/1.62 % (15761)Termination phase: Saturation
% 1.62/1.62
% 1.62/1.62 % (15761)Memory used [KB]: 5628
% 1.62/1.62 % (15761)Time elapsed: 0.008 s
% 1.62/1.62 % (15761)Instructions burned: 20 (million)
% 1.62/1.62 % (15761)------------------------------
% 1.62/1.62 % (15761)------------------------------
% 1.62/1.62 % (15759)Instruction limit reached!
% 1.62/1.62 % (15759)------------------------------
% 1.62/1.62 % (15759)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.62 % (15759)Termination reason: Unknown
% 1.62/1.62 % (15759)Termination phase: Saturation
% 1.62/1.62
% 1.62/1.62 % (15759)Memory used [KB]: 6012
% 1.62/1.62 % (15759)Time elapsed: 0.043 s
% 1.62/1.62 % (15759)Instructions burned: 102 (million)
% 1.62/1.62 % (15759)------------------------------
% 1.62/1.62 % (15759)------------------------------
% 1.62/1.63 % (15763)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_15533 for (2996ds/86Mi)
% 1.62/1.63 % (15764)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_15533 for (2996ds/107Mi)
% 1.62/1.65 % (15763)Instruction limit reached!
% 1.62/1.65 % (15763)------------------------------
% 1.62/1.65 % (15763)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.65 % (15763)Termination reason: Unknown
% 1.62/1.65 % (15763)Termination phase: Saturation
% 1.62/1.65
% 1.62/1.65 % (15763)Memory used [KB]: 6012
% 1.62/1.65 % (15763)Time elapsed: 0.052 s
% 1.62/1.65 % (15763)Instructions burned: 86 (million)
% 1.62/1.65 % (15763)------------------------------
% 1.62/1.65 % (15763)------------------------------
% 1.62/1.66 % (15765)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_15533 for (2996ds/39Mi)
% 1.62/1.67 % (15764)Instruction limit reached!
% 1.62/1.67 % (15764)------------------------------
% 1.62/1.67 % (15764)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.67 % (15764)Termination reason: Unknown
% 1.62/1.67 % (15764)Termination phase: Saturation
% 1.62/1.67
% 1.62/1.67 % (15764)Memory used [KB]: 6012
% 1.62/1.67 % (15764)Time elapsed: 0.060 s
% 1.62/1.67 % (15764)Instructions burned: 108 (million)
% 1.62/1.67 % (15764)------------------------------
% 1.62/1.67 % (15764)------------------------------
% 1.62/1.67 % (15700)Instruction limit reached!
% 1.62/1.67 % (15700)------------------------------
% 1.62/1.67 % (15700)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.67 % (15700)Termination reason: Unknown
% 1.62/1.67 % (15700)Termination phase: Saturation
% 1.62/1.67
% 1.62/1.67 % (15700)Memory used [KB]: 8955
% 1.62/1.67 % (15700)Time elapsed: 0.391 s
% 1.62/1.67 % (15700)Instructions burned: 1041 (million)
% 1.62/1.67 % (15700)------------------------------
% 1.62/1.67 % (15700)------------------------------
% 1.62/1.68 % (15765)Instruction limit reached!
% 1.62/1.68 % (15765)------------------------------
% 1.62/1.68 % (15765)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.68 % (15765)Termination reason: Unknown
% 1.62/1.68 % (15765)Termination phase: Saturation
% 1.62/1.68
% 1.62/1.68 % (15765)Memory used [KB]: 5628
% 1.62/1.68 % (15765)Time elapsed: 0.036 s
% 1.62/1.68 % (15765)Instructions burned: 41 (million)
% 1.62/1.68 % (15765)------------------------------
% 1.62/1.68 % (15765)------------------------------
% 1.62/1.68 % (15766)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_15533 for (2995ds/448Mi)
% 1.62/1.68 % (15767)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_15533 for (2995ds/46Mi)
% 1.62/1.69 % (15768)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_15533 for (2995ds/98Mi)
% 1.62/1.69 % (15724)Instruction limit reached!
% 1.62/1.69 % (15724)------------------------------
% 1.62/1.69 % (15724)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.69 % (15724)Termination reason: Unknown
% 1.62/1.69 % (15724)Termination phase: Saturation
% 1.62/1.69
% 1.62/1.69 % (15724)Memory used [KB]: 7036
% 1.62/1.69 % (15724)Time elapsed: 0.329 s
% 1.62/1.69 % (15724)Instructions burned: 711 (million)
% 1.62/1.69 % (15724)------------------------------
% 1.62/1.69 % (15724)------------------------------
% 1.62/1.69 % (15767)Instruction limit reached!
% 1.62/1.69 % (15767)------------------------------
% 1.62/1.69 % (15767)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.69 % (15767)Termination reason: Unknown
% 1.62/1.69 % (15767)Termination phase: Saturation
% 1.62/1.69
% 1.62/1.69 % (15767)Memory used [KB]: 5884
% 1.62/1.69 % (15767)Time elapsed: 0.039 s
% 1.62/1.69 % (15767)Instructions burned: 48 (million)
% 1.62/1.69 % (15767)------------------------------
% 1.62/1.69 % (15767)------------------------------
% 1.62/1.70 % (15769)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_15533 for (2995ds/507Mi)
% 1.62/1.70 % (15770)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_15533 for (2995ds/149Mi)
% 1.62/1.72 % (15768)Instruction limit reached!
% 1.62/1.72 % (15768)------------------------------
% 1.62/1.72 % (15768)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.72 % (15768)Termination reason: Unknown
% 1.62/1.72 % (15768)Termination phase: Saturation
% 1.62/1.72
% 1.62/1.72 % (15768)Memory used [KB]: 1407
% 1.62/1.72 % (15768)Time elapsed: 0.057 s
% 1.62/1.72 % (15768)Instructions burned: 99 (million)
% 1.62/1.72 % (15768)------------------------------
% 1.62/1.72 % (15768)------------------------------
% 1.62/1.72 % (15729)Instruction limit reached!
% 1.62/1.72 % (15729)------------------------------
% 1.62/1.72 % (15729)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.72 % (15729)Termination reason: Unknown
% 1.62/1.72 % (15729)Termination phase: Saturation
% 1.62/1.72
% 1.62/1.72 % (15729)Memory used [KB]: 7036
% 1.62/1.72 % (15729)Time elapsed: 0.341 s
% 1.62/1.72 % (15729)Instructions burned: 904 (million)
% 1.62/1.72 % (15729)------------------------------
% 1.62/1.72 % (15729)------------------------------
% 1.62/1.73 % (15778)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_15533 for (2995ds/6Mi)
% 1.62/1.73 % (15776)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_15533 for (2995ds/39Mi)
% 1.62/1.73 % (15778)Instruction limit reached!
% 1.62/1.73 % (15778)------------------------------
% 1.62/1.73 % (15778)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.73 % (15778)Termination reason: Unknown
% 1.62/1.73 % (15778)Termination phase: Saturation
% 1.62/1.73
% 1.62/1.73 % (15778)Memory used [KB]: 9978
% 1.62/1.73 % (15778)Time elapsed: 0.003 s
% 1.62/1.73 % (15778)Instructions burned: 7 (million)
% 1.62/1.73 % (15778)------------------------------
% 1.62/1.73 % (15778)------------------------------
% 1.62/1.74 % (15783)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_15533 for (2995ds/1087Mi)
% 1.62/1.74 % (15776)Instruction limit reached!
% 1.62/1.74 % (15776)------------------------------
% 1.62/1.74 % (15776)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.74 % (15776)Termination reason: Unknown
% 1.62/1.74 % (15776)Termination phase: Saturation
% 1.62/1.74
% 1.62/1.74 % (15776)Memory used [KB]: 5628
% 1.62/1.74 % (15776)Time elapsed: 0.015 s
% 1.62/1.74 % (15776)Instructions burned: 39 (million)
% 1.62/1.74 % (15776)------------------------------
% 1.62/1.74 % (15776)------------------------------
% 1.62/1.75 % (15789)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_15533 for (2995ds/47Mi)
% 1.62/1.75 % (15743)Instruction limit reached!
% 1.62/1.75 % (15743)------------------------------
% 1.62/1.75 % (15743)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.75 % (15743)Termination reason: Unknown
% 1.62/1.75 % (15743)Termination phase: Saturation
% 1.62/1.75
% 1.62/1.75 % (15743)Memory used [KB]: 7164
% 1.62/1.75 % (15743)Time elapsed: 0.343 s
% 1.62/1.75 % (15743)Instructions burned: 779 (million)
% 1.62/1.75 % (15743)------------------------------
% 1.62/1.75 % (15743)------------------------------
% 1.62/1.75 % (15770)Instruction limit reached!
% 1.62/1.75 % (15770)------------------------------
% 1.62/1.75 % (15770)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.75 % (15770)Termination reason: Unknown
% 1.62/1.75 % (15770)Termination phase: Saturation
% 1.62/1.75
% 1.62/1.75 % (15770)Memory used [KB]: 6268
% 1.62/1.75 % (15770)Time elapsed: 0.050 s
% 1.62/1.75 % (15770)Instructions burned: 150 (million)
% 1.62/1.75 % (15770)------------------------------
% 1.62/1.75 % (15770)------------------------------
% 1.62/1.76 % (15749)Instruction limit reached!
% 1.62/1.76 % (15749)------------------------------
% 1.62/1.76 % (15749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.76 % (15749)Termination reason: Unknown
% 1.62/1.76 % (15749)Termination phase: Saturation
% 1.62/1.76
% 1.62/1.76 % (15749)Memory used [KB]: 7291
% 1.62/1.76 % (15749)Time elapsed: 0.326 s
% 1.62/1.76 % (15749)Instructions burned: 881 (million)
% 1.62/1.76 % (15749)------------------------------
% 1.62/1.76 % (15749)------------------------------
% 1.62/1.76 % (15795)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_15533 for (2994ds/44Mi)
% 1.62/1.76 % (15796)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_15533 for (2994ds/432Mi)
% 1.62/1.77 % (15798)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_15533 for (2994ds/62Mi)
% 1.62/1.77 % (15789)Instruction limit reached!
% 1.62/1.77 % (15789)------------------------------
% 1.62/1.77 % (15789)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.77 % (15789)Termination reason: Unknown
% 1.62/1.77 % (15789)Termination phase: Saturation
% 1.62/1.77
% 1.62/1.77 % (15789)Memory used [KB]: 5628
% 1.62/1.77 % (15789)Time elapsed: 0.017 s
% 1.62/1.77 % (15789)Instructions burned: 47 (million)
% 1.62/1.77 % (15789)------------------------------
% 1.62/1.77 % (15789)------------------------------
% 1.62/1.77 % (15795)Instruction limit reached!
% 1.62/1.77 % (15795)------------------------------
% 1.62/1.77 % (15795)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.77 % (15795)Termination reason: Unknown
% 1.62/1.77 % (15795)Termination phase: Saturation
% 1.62/1.77
% 1.62/1.77 % (15795)Memory used [KB]: 1279
% 1.62/1.77 % (15795)Time elapsed: 0.013 s
% 1.62/1.77 % (15795)Instructions burned: 44 (million)
% 1.62/1.77 % (15795)------------------------------
% 1.62/1.77 % (15795)------------------------------
% 1.62/1.78 % (15803)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_15533 for (2994ds/31Mi)
% 1.62/1.78 % (15806)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_15533 for (2994ds/96Mi)
% 1.62/1.78 % (15798)Instruction limit reached!
% 1.62/1.78 % (15798)------------------------------
% 1.62/1.78 % (15798)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.78 % (15798)Termination reason: Unknown
% 1.62/1.78 % (15798)Termination phase: Saturation
% 1.62/1.78
% 1.62/1.78 % (15798)Memory used [KB]: 5756
% 1.62/1.78 % (15798)Time elapsed: 0.019 s
% 1.62/1.78 % (15798)Instructions burned: 63 (million)
% 1.62/1.78 % (15798)------------------------------
% 1.62/1.78 % (15798)------------------------------
% 1.62/1.79 % (15803)Instruction limit reached!
% 1.62/1.79 % (15803)------------------------------
% 1.62/1.79 % (15803)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.79 % (15803)Termination reason: Unknown
% 1.62/1.79 % (15803)Termination phase: Saturation
% 1.62/1.79
% 1.62/1.79 % (15803)Memory used [KB]: 5756
% 1.62/1.79 % (15803)Time elapsed: 0.011 s
% 1.62/1.79 % (15803)Instructions burned: 31 (million)
% 1.62/1.79 % (15803)------------------------------
% 1.62/1.79 % (15803)------------------------------
% 1.62/1.79 % (15814)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_15533 for (2994ds/453Mi)
% 1.62/1.80 % (15816)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_15533 for (2994ds/71Mi)
% 1.62/1.81 % (15766)Instruction limit reached!
% 1.62/1.81 % (15766)------------------------------
% 1.62/1.81 % (15766)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.81 % (15766)Termination reason: Unknown
% 1.62/1.81 % (15766)Termination phase: Saturation
% 1.62/1.81
% 1.62/1.81 % (15766)Memory used [KB]: 6396
% 1.62/1.81 % (15766)Time elapsed: 0.161 s
% 1.62/1.81 % (15766)Instructions burned: 450 (million)
% 1.62/1.81 % (15766)------------------------------
% 1.62/1.81 % (15766)------------------------------
% 1.62/1.81 % (15806)Instruction limit reached!
% 1.62/1.81 % (15806)------------------------------
% 1.62/1.81 % (15806)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.81 % (15806)Termination reason: Unknown
% 1.62/1.81 % (15806)Termination phase: Saturation
% 1.62/1.81
% 1.62/1.81 % (15806)Memory used [KB]: 5756
% 1.62/1.81 % (15806)Time elapsed: 0.032 s
% 1.62/1.81 % (15806)Instructions burned: 97 (million)
% 1.62/1.81 % (15806)------------------------------
% 1.62/1.81 % (15806)------------------------------
% 1.62/1.82 % (15816)Instruction limit reached!
% 1.62/1.82 % (15816)------------------------------
% 1.62/1.82 % (15816)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.82 % (15816)Termination reason: Unknown
% 1.62/1.82 % (15816)Termination phase: Saturation
% 1.62/1.82
% 1.62/1.82 % (15816)Memory used [KB]: 5884
% 1.62/1.82 % (15816)Time elapsed: 0.025 s
% 1.62/1.82 % (15816)Instructions burned: 73 (million)
% 1.62/1.82 % (15816)------------------------------
% 1.62/1.82 % (15816)------------------------------
% 1.62/1.82 % (15827)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_15533 for (2994ds/83Mi)
% 1.62/1.82 % (15828)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_15533 for (2994ds/11Mi)
% 1.62/1.83 % (15828)Instruction limit reached!
% 1.62/1.83 % (15828)------------------------------
% 1.62/1.83 % (15828)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.83 % (15828)Termination reason: Unknown
% 1.62/1.83 % (15828)Termination phase: Saturation
% 1.62/1.83
% 1.62/1.83 % (15828)Memory used [KB]: 5500
% 1.62/1.83 % (15828)Time elapsed: 0.004 s
% 1.62/1.83 % (15828)Instructions burned: 11 (million)
% 1.62/1.83 % (15828)------------------------------
% 1.62/1.83 % (15828)------------------------------
% 1.62/1.83 % (15831)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_15533 for (2994ds/41Mi)
% 1.62/1.84 % (15835)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_15533 for (2994ds/6Mi)
% 1.62/1.84 % (15835)Instruction limit reached!
% 1.62/1.84 % (15835)------------------------------
% 1.62/1.84 % (15835)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.84 % (15835)Termination reason: Unknown
% 1.62/1.84 % (15835)Termination phase: Saturation
% 1.62/1.84
% 1.62/1.84 % (15835)Memory used [KB]: 5500
% 1.62/1.84 % (15835)Time elapsed: 0.003 s
% 1.62/1.84 % (15835)Instructions burned: 7 (million)
% 1.62/1.84 % (15835)------------------------------
% 1.62/1.84 % (15835)------------------------------
% 1.62/1.84 % (15831)Instruction limit reached!
% 1.62/1.84 % (15831)------------------------------
% 1.62/1.84 % (15831)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.84 % (15831)Termination reason: Unknown
% 1.62/1.84 % (15831)Termination phase: Saturation
% 1.62/1.84
% 1.62/1.84 % (15831)Memory used [KB]: 5756
% 1.62/1.84 % (15831)Time elapsed: 0.012 s
% 1.62/1.84 % (15831)Instructions burned: 41 (million)
% 1.62/1.84 % (15831)------------------------------
% 1.62/1.84 % (15831)------------------------------
% 1.62/1.85 % (15840)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_15533 for (2994ds/150Mi)
% 1.62/1.85 % (15842)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_15533 for (2994ds/343Mi)
% 1.62/1.85 % (15827)Instruction limit reached!
% 1.62/1.85 % (15827)------------------------------
% 1.62/1.85 % (15827)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.85 % (15827)Termination reason: Unknown
% 1.62/1.85 % (15827)Termination phase: Saturation
% 1.62/1.85
% 1.62/1.85 % (15827)Memory used [KB]: 5756
% 1.62/1.85 % (15827)Time elapsed: 0.027 s
% 1.62/1.85 % (15827)Instructions burned: 85 (million)
% 1.62/1.85 % (15827)------------------------------
% 1.62/1.85 % (15827)------------------------------
% 1.62/1.86 % (15845)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_15533 for (2994ds/109Mi)
% 1.62/1.86 % (15769)Instruction limit reached!
% 1.62/1.86 % (15769)------------------------------
% 1.62/1.86 % (15769)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.86 % (15769)Termination reason: Unknown
% 1.62/1.86 % (15769)Termination phase: Saturation
% 1.62/1.86
% 1.62/1.86 % (15769)Memory used [KB]: 7036
% 1.62/1.86 % (15769)Time elapsed: 0.189 s
% 1.62/1.86 % (15769)Instructions burned: 508 (million)
% 1.62/1.86 % (15769)------------------------------
% 1.62/1.86 % (15769)------------------------------
% 1.62/1.87 % (15849)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_15533 for (2993ds/253Mi)
% 1.62/1.89 % (15796)Instruction limit reached!
% 1.62/1.89 % (15796)------------------------------
% 1.62/1.89 % (15796)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.89 % (15796)Termination reason: Unknown
% 1.62/1.89 % (15796)Termination phase: Saturation
% 1.62/1.89
% 1.62/1.89 % (15796)Memory used [KB]: 2302
% 1.62/1.89 % (15796)Time elapsed: 0.126 s
% 1.62/1.89 % (15796)Instructions burned: 433 (million)
% 1.62/1.89 % (15796)------------------------------
% 1.62/1.89 % (15796)------------------------------
% 1.62/1.89 % (15840)Instruction limit reached!
% 1.62/1.89 % (15840)------------------------------
% 1.62/1.89 % (15840)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.89 % (15840)Termination reason: Unknown
% 1.62/1.89 % (15840)Termination phase: Saturation
% 1.62/1.89
% 1.62/1.89 % (15840)Memory used [KB]: 6012
% 1.62/1.89 % (15840)Time elapsed: 0.047 s
% 1.62/1.89 % (15840)Instructions burned: 151 (million)
% 1.62/1.89 % (15840)------------------------------
% 1.62/1.89 % (15840)------------------------------
% 1.62/1.89 % (15845)Instruction limit reached!
% 1.62/1.89 % (15845)------------------------------
% 1.62/1.89 % (15845)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.89 % (15845)Termination reason: Unknown
% 1.62/1.89 % (15845)Termination phase: Saturation
% 1.62/1.89
% 1.62/1.89 % (15845)Memory used [KB]: 6012
% 1.62/1.89 % (15845)Time elapsed: 0.036 s
% 1.62/1.89 % (15845)Instructions burned: 111 (million)
% 1.62/1.89 % (15845)------------------------------
% 1.62/1.89 % (15845)------------------------------
% 1.62/1.90 % (15857)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_15533 for (2993ds/140Mi)
% 1.62/1.90 % (15865)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_15533 for (2993ds/614Mi)
% 1.62/1.90 % (15866)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_15533 for (2993ds/202Mi)
% 1.62/1.93 % (15814)Instruction limit reached!
% 1.62/1.93 % (15814)------------------------------
% 1.62/1.93 % (15814)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.93 % (15814)Termination reason: Unknown
% 1.62/1.93 % (15814)Termination phase: Saturation
% 1.62/1.93
% 1.62/1.93 % (15814)Memory used [KB]: 6140
% 1.62/1.93 % (15814)Time elapsed: 0.134 s
% 1.62/1.93 % (15814)Instructions burned: 454 (million)
% 1.62/1.93 % (15814)------------------------------
% 1.62/1.93 % (15814)------------------------------
% 1.62/1.94 % (15879)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_15533 for (2993ds/339Mi)
% 1.62/1.94 % (15857)Instruction limit reached!
% 1.62/1.94 % (15857)------------------------------
% 1.62/1.94 % (15857)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.94 % (15857)Termination reason: Unknown
% 1.62/1.94 % (15857)Termination phase: Saturation
% 1.62/1.94
% 1.62/1.94 % (15857)Memory used [KB]: 6140
% 1.62/1.94 % (15857)Time elapsed: 0.045 s
% 1.62/1.94 % (15857)Instructions burned: 142 (million)
% 1.62/1.94 % (15857)------------------------------
% 1.62/1.94 % (15857)------------------------------
% 1.62/1.95 % (15849)Instruction limit reached!
% 1.62/1.95 % (15849)------------------------------
% 1.62/1.95 % (15849)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.95 % (15849)Termination reason: Unknown
% 1.62/1.95 % (15849)Termination phase: Saturation
% 1.62/1.95
% 1.62/1.95 % (15849)Memory used [KB]: 6268
% 1.62/1.95 % (15849)Time elapsed: 0.078 s
% 1.62/1.95 % (15849)Instructions burned: 253 (million)
% 1.62/1.95 % (15849)------------------------------
% 1.62/1.95 % (15849)------------------------------
% 1.62/1.95 % (15890)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_15533 for (2993ds/283Mi)
% 1.62/1.96 % (15842)Instruction limit reached!
% 1.62/1.96 % (15842)------------------------------
% 1.62/1.96 % (15842)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.96 % (15842)Termination reason: Unknown
% 1.62/1.96 % (15842)Termination phase: Saturation
% 1.62/1.96
% 1.62/1.96 % (15842)Memory used [KB]: 6780
% 1.62/1.96 % (15842)Time elapsed: 0.107 s
% 1.62/1.96 % (15842)Instructions burned: 343 (million)
% 1.62/1.96 % (15842)------------------------------
% 1.62/1.96 % (15842)------------------------------
% 1.62/1.96 % (15896)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_15533 for (2993ds/134Mi)
% 1.62/1.97 % (15901)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_15533 for (2993ds/298Mi)
% 1.62/1.97 % (15866)Instruction limit reached!
% 1.62/1.97 % (15866)------------------------------
% 1.62/1.97 % (15866)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.97 % (15866)Termination reason: Unknown
% 1.62/1.97 % (15866)Termination phase: Saturation
% 1.62/1.97
% 1.62/1.97 % (15866)Memory used [KB]: 6140
% 1.62/1.97 % (15866)Time elapsed: 0.065 s
% 1.62/1.97 % (15866)Instructions burned: 205 (million)
% 1.62/1.97 % (15866)------------------------------
% 1.62/1.97 % (15866)------------------------------
% 1.62/1.98 % (15907)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_15533 for (2992ds/192Mi)
% 1.62/1.98 % (15783)First to succeed.
% 1.62/1.99 % (15783)Refutation found. Thanks to Tanya!
% 1.62/1.99 % SZS status Theorem for DTF2THF_15533
% 1.62/1.99 % SZS output start Proof for DTF2THF_15533
% 1.62/1.99 thf(type_def_5, type, a: $tType).
% 1.62/1.99 thf(func_def_0, type, a: $tType).
% 1.62/1.99 thf(func_def_4, type, sK0: a > a > a).
% 1.62/1.99 thf(func_def_5, type, sK1: a > a > a).
% 1.62/1.99 thf(func_def_6, type, sK2: a).
% 1.62/1.99 thf(func_def_7, type, sK3: a).
% 1.62/1.99 thf(func_def_8, type, sK4: a).
% 1.62/1.99 thf(func_def_9, type, sK5: a).
% 1.62/1.99 thf(func_def_10, type, sK6: a).
% 1.62/1.99 thf(f2417,plain,(
% 1.62/1.99 $false),
% 1.62/1.99 inference(subsumption_resolution,[status(thm)],[f2416,f32])).
% 1.62/1.99 thf(f32,plain,(
% 1.62/1.99 (sK5 != sK3)),
% 1.62/1.99 inference(cnf_transformation,[status(thm)],[f10])).
% 1.62/1.99 thf(f10,plain,(
% 1.62/1.99 ! [X2 : a,X3 : a,X4 : a] : ((sK1 @ X3 @ (sK1 @ X2 @ X4)) = (sK1 @ (sK1 @ X3 @ X2) @ X4)) & ! [X5 : a,X6 : a] : ((sK0 @ (sK1 @ X6 @ X5) @ X5) = X5) & ! [X7 : a,X8 : a] : ((sK1 @ X7 @ X8) = (sK1 @ X8 @ X7)) & ! [X9 : a,X10 : a] : ((sK1 @ (sK0 @ X9 @ X10) @ X10) = X10) & ! [X11 : a,X12 : a,X13 : a] : ((sK0 @ X12 @ (sK0 @ X11 @ X13)) = (sK0 @ (sK0 @ X12 @ X11) @ X13)) & ! [X14 : a] : ((sK1 @ X14 @ X14) = X14) & ((sK5 != sK6) & (sK6 != sK2) & ((sK0 @ sK4 @ sK2) = sK4) & (sK6 = (sK0 @ sK6 @ sK4)) & ((sK1 @ sK6 @ sK3) = sK3) & (sK4 != sK2) & (sK2 = (sK1 @ sK6 @ sK2)) & (sK2 = (sK1 @ sK3 @ sK2)) & (sK5 = (sK0 @ sK3 @ sK5)) & ((sK1 @ sK3 @ sK4) = sK2) & ((sK1 @ sK4 @ sK5) = sK2) & (sK5 != sK3) & (sK2 = (sK1 @ sK5 @ sK2)) & (sK3 = (sK0 @ sK3 @ sK2)) & ((sK0 @ sK6 @ sK5) = sK6) & (sK5 = (sK1 @ sK6 @ sK5)) & (sK2 != sK3) & (sK5 = (sK0 @ sK5 @ sK2)) & (sK4 != sK6) & (sK6 = (sK0 @ sK6 @ sK2)) & ((sK0 @ sK3 @ sK4) = sK6) & (sK5 != sK4) & (sK5 != sK2) & (sK6 = (sK0 @ sK6 @ sK3)) & (sK6 != sK3) & ((sK1 @ sK3 @ sK5) = sK3) & (sK4 != sK3) & (sK6 = (sK0 @ sK4 @ sK5)) & (sK2 = (sK1 @ sK4 @ sK2)) & (sK4 = (sK1 @ sK6 @ sK4))) & ! [X20 : a] : ((sK0 @ X20 @ X20) = X20) & ! [X21 : a,X22 : a] : ((sK0 @ X22 @ X21) = (sK0 @ X21 @ X22)) & ! [X23 : a,X24 : a,X25 : a] : ((sK0 @ X23 @ (sK1 @ X25 @ (sK0 @ X23 @ X24))) = (sK1 @ (sK0 @ X23 @ X25) @ (sK0 @ X23 @ X24)))),
% 1.62/1.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f7,f9,f8])).
% 1.62/1.99 thf(f8,plain,(
% 1.62/1.99 ? [X0 : a > a > a,X1 : a > a > a] : (! [X2 : a,X3 : a,X4 : a] : ((X1 @ X3 @ (X1 @ X2 @ X4)) = (X1 @ (X1 @ X3 @ X2) @ X4)) & ! [X5 : a,X6 : a] : ((X0 @ (X1 @ X6 @ X5) @ X5) = X5) & ! [X7 : a,X8 : a] : ((X1 @ X8 @ X7) = (X1 @ X7 @ X8)) & ! [X9 : a,X10 : a] : ((X1 @ (X0 @ X9 @ X10) @ X10) = X10) & ! [X11 : a,X12 : a,X13 : a] : ((X0 @ (X0 @ X12 @ X11) @ X13) = (X0 @ X12 @ (X0 @ X11 @ X13))) & ! [X14 : a] : ((X1 @ X14 @ X14) = X14) & ? [X15 : a,X16 : a,X17 : a,X18 : a,X19 : a] : ((X18 != X19) & (X15 != X19) & ((X0 @ X17 @ X15) = X17) & ((X0 @ X19 @ X17) = X19) & ((X1 @ X19 @ X16) = X16) & (X15 != X17) & ((X1 @ X19 @ X15) = X15) & ((X1 @ X16 @ X15) = X15) & ((X0 @ X16 @ X18) = X18) & ((X1 @ X16 @ X17) = X15) & ((X1 @ X17 @ X18) = X15) & (X16 != X18) & ((X1 @ X18 @ X15) = X15) & ((X0 @ X16 @ X15) = X16) & ((X0 @ X19 @ X18) = X19) & ((X1 @ X19 @ X18) = X18) & (X15 != X16) & ((X0 @ X18 @ X15) = X18) & (X17 != X19) & ((X0 @ X19 @ X15) = X19) & ((X0 @ X16 @ X17) = X19) & (X17 != X18) & (X15 != X18) & ((X0 @ X19 @ X16) = X19) & (X16 != X19) & ((X1 @ X16 @ X18) = X16) & (X16 != X17) & ((X0 @ X17 @ X18) = X19) & ((X1 @ X17 @ X15) = X15) & ((X1 @ X19 @ X17) = X17)) & ! [X20 : a] : ((X0 @ X20 @ X20) = X20) & ! [X21 : a,X22 : a] : ((X0 @ X21 @ X22) = (X0 @ X22 @ X21)) & ! [X23 : a,X24 : a,X25 : a] : ((X1 @ (X0 @ X23 @ X25) @ (X0 @ X23 @ X24)) = (X0 @ X23 @ (X1 @ X25 @ (X0 @ X23 @ X24))))) => (! [X4 : a,X3 : a,X2 : a] : ((sK1 @ X3 @ (sK1 @ X2 @ X4)) = (sK1 @ (sK1 @ X3 @ X2) @ X4)) & ! [X6 : a,X5 : a] : ((sK0 @ (sK1 @ X6 @ X5) @ X5) = X5) & ! [X8 : a,X7 : a] : ((sK1 @ X7 @ X8) = (sK1 @ X8 @ X7)) & ! [X10 : a,X9 : a] : ((sK1 @ (sK0 @ X9 @ X10) @ X10) = X10) & ! [X13 : a,X12 : a,X11 : a] : ((sK0 @ X12 @ (sK0 @ X11 @ X13)) = (sK0 @ (sK0 @ X12 @ X11) @ X13)) & ! [X14 : a] : ((sK1 @ X14 @ X14) = X14) & ? [X19 : a,X18 : a,X17 : a,X16 : a,X15 : a] : ((X18 != X19) & (X15 != X19) & ((sK0 @ X17 @ X15) = X17) & ((sK0 @ X19 @ X17) = X19) & ((sK1 @ X19 @ X16) = X16) & (X15 != X17) & ((sK1 @ X19 @ X15) = X15) & ((sK1 @ X16 @ X15) = X15) & ((sK0 @ X16 @ X18) = X18) & ((sK1 @ X16 @ X17) = X15) & ((sK1 @ X17 @ X18) = X15) & (X16 != X18) & ((sK1 @ X18 @ X15) = X15) & ((sK0 @ X16 @ X15) = X16) & ((sK0 @ X19 @ X18) = X19) & ((sK1 @ X19 @ X18) = X18) & (X15 != X16) & ((sK0 @ X18 @ X15) = X18) & (X17 != X19) & ((sK0 @ X19 @ X15) = X19) & ((sK0 @ X16 @ X17) = X19) & (X17 != X18) & (X15 != X18) & ((sK0 @ X19 @ X16) = X19) & (X16 != X19) & ((sK1 @ X16 @ X18) = X16) & (X16 != X17) & ((sK0 @ X17 @ X18) = X19) & ((sK1 @ X17 @ X15) = X15) & ((sK1 @ X19 @ X17) = X17)) & ! [X20 : a] : ((sK0 @ X20 @ X20) = X20) & ! [X22 : a,X21 : a] : ((sK0 @ X22 @ X21) = (sK0 @ X21 @ X22)) & ! [X25 : a,X24 : a,X23 : a] : ((sK0 @ X23 @ (sK1 @ X25 @ (sK0 @ X23 @ X24))) = (sK1 @ (sK0 @ X23 @ X25) @ (sK0 @ X23 @ X24))))),
% 1.62/1.99 introduced(definition,[],[choice_axiom])).
% 1.62/1.99 thf(f9,plain,(
% 1.62/1.99 ? [X19 : a,X18 : a,X17 : a,X16 : a,X15 : a] : ((X18 != X19) & (X15 != X19) & ((sK0 @ X17 @ X15) = X17) & ((sK0 @ X19 @ X17) = X19) & ((sK1 @ X19 @ X16) = X16) & (X15 != X17) & ((sK1 @ X19 @ X15) = X15) & ((sK1 @ X16 @ X15) = X15) & ((sK0 @ X16 @ X18) = X18) & ((sK1 @ X16 @ X17) = X15) & ((sK1 @ X17 @ X18) = X15) & (X16 != X18) & ((sK1 @ X18 @ X15) = X15) & ((sK0 @ X16 @ X15) = X16) & ((sK0 @ X19 @ X18) = X19) & ((sK1 @ X19 @ X18) = X18) & (X15 != X16) & ((sK0 @ X18 @ X15) = X18) & (X17 != X19) & ((sK0 @ X19 @ X15) = X19) & ((sK0 @ X16 @ X17) = X19) & (X17 != X18) & (X15 != X18) & ((sK0 @ X19 @ X16) = X19) & (X16 != X19) & ((sK1 @ X16 @ X18) = X16) & (X16 != X17) & ((sK0 @ X17 @ X18) = X19) & ((sK1 @ X17 @ X15) = X15) & ((sK1 @ X19 @ X17) = X17)) => ((sK5 != sK6) & (sK6 != sK2) & ((sK0 @ sK4 @ sK2) = sK4) & (sK6 = (sK0 @ sK6 @ sK4)) & ((sK1 @ sK6 @ sK3) = sK3) & (sK4 != sK2) & (sK2 = (sK1 @ sK6 @ sK2)) & (sK2 = (sK1 @ sK3 @ sK2)) & (sK5 = (sK0 @ sK3 @ sK5)) & ((sK1 @ sK3 @ sK4) = sK2) & ((sK1 @ sK4 @ sK5) = sK2) & (sK5 != sK3) & (sK2 = (sK1 @ sK5 @ sK2)) & (sK3 = (sK0 @ sK3 @ sK2)) & ((sK0 @ sK6 @ sK5) = sK6) & (sK5 = (sK1 @ sK6 @ sK5)) & (sK2 != sK3) & (sK5 = (sK0 @ sK5 @ sK2)) & (sK4 != sK6) & (sK6 = (sK0 @ sK6 @ sK2)) & ((sK0 @ sK3 @ sK4) = sK6) & (sK5 != sK4) & (sK5 != sK2) & (sK6 = (sK0 @ sK6 @ sK3)) & (sK6 != sK3) & ((sK1 @ sK3 @ sK5) = sK3) & (sK4 != sK3) & (sK6 = (sK0 @ sK4 @ sK5)) & (sK2 = (sK1 @ sK4 @ sK2)) & (sK4 = (sK1 @ sK6 @ sK4)))),
% 1.62/1.99 introduced(definition,[],[choice_axiom])).
% 1.62/1.99 thf(f7,plain,(
% 1.62/1.99 ? [X0 : a > a > a,X1 : a > a > a] : (! [X2 : a,X3 : a,X4 : a] : ((X1 @ X3 @ (X1 @ X2 @ X4)) = (X1 @ (X1 @ X3 @ X2) @ X4)) & ! [X5 : a,X6 : a] : ((X0 @ (X1 @ X6 @ X5) @ X5) = X5) & ! [X7 : a,X8 : a] : ((X1 @ X8 @ X7) = (X1 @ X7 @ X8)) & ! [X9 : a,X10 : a] : ((X1 @ (X0 @ X9 @ X10) @ X10) = X10) & ! [X11 : a,X12 : a,X13 : a] : ((X0 @ (X0 @ X12 @ X11) @ X13) = (X0 @ X12 @ (X0 @ X11 @ X13))) & ! [X14 : a] : ((X1 @ X14 @ X14) = X14) & ? [X15 : a,X16 : a,X17 : a,X18 : a,X19 : a] : ((X18 != X19) & (X15 != X19) & ((X0 @ X17 @ X15) = X17) & ((X0 @ X19 @ X17) = X19) & ((X1 @ X19 @ X16) = X16) & (X15 != X17) & ((X1 @ X19 @ X15) = X15) & ((X1 @ X16 @ X15) = X15) & ((X0 @ X16 @ X18) = X18) & ((X1 @ X16 @ X17) = X15) & ((X1 @ X17 @ X18) = X15) & (X16 != X18) & ((X1 @ X18 @ X15) = X15) & ((X0 @ X16 @ X15) = X16) & ((X0 @ X19 @ X18) = X19) & ((X1 @ X19 @ X18) = X18) & (X15 != X16) & ((X0 @ X18 @ X15) = X18) & (X17 != X19) & ((X0 @ X19 @ X15) = X19) & ((X0 @ X16 @ X17) = X19) & (X17 != X18) & (X15 != X18) & ((X0 @ X19 @ X16) = X19) & (X16 != X19) & ((X1 @ X16 @ X18) = X16) & (X16 != X17) & ((X0 @ X17 @ X18) = X19) & ((X1 @ X17 @ X15) = X15) & ((X1 @ X19 @ X17) = X17)) & ! [X20 : a] : ((X0 @ X20 @ X20) = X20) & ! [X21 : a,X22 : a] : ((X0 @ X21 @ X22) = (X0 @ X22 @ X21)) & ! [X23 : a,X24 : a,X25 : a] : ((X1 @ (X0 @ X23 @ X25) @ (X0 @ X23 @ X24)) = (X0 @ X23 @ (X1 @ X25 @ (X0 @ X23 @ X24)))))),
% 1.62/1.99 inference(rectify,[status(thm)],[f6])).
% 1.62/1.99 thf(f6,plain,(
% 1.62/1.99 ? [X1 : a > a > a,X0 : a > a > a] : (! [X5 : a,X7 : a,X6 : a] : ((X0 @ X7 @ (X0 @ X5 @ X6)) = (X0 @ (X0 @ X7 @ X5) @ X6)) & ! [X16 : a,X17 : a] : ((X1 @ (X0 @ X17 @ X16) @ X16) = X16) & ! [X2 : a,X3 : a] : ((X0 @ X2 @ X3) = (X0 @ X3 @ X2)) & ! [X9 : a,X8 : a] : ((X0 @ (X1 @ X9 @ X8) @ X8) = X8) & ! [X14 : a,X15 : a,X13 : a] : ((X1 @ X15 @ (X1 @ X14 @ X13)) = (X1 @ (X1 @ X15 @ X14) @ X13)) & ! [X10 : a] : ((X0 @ X10 @ X10) = X10) & ? [X21 : a,X20 : a,X19 : a,X18 : a,X22 : a] : ((X18 != X22) & (X21 != X22) & ((X1 @ X19 @ X21) = X19) & ((X1 @ X22 @ X19) = X22) & ((X0 @ X22 @ X20) = X20) & (X19 != X21) & ((X0 @ X22 @ X21) = X21) & ((X0 @ X20 @ X21) = X21) & ((X1 @ X20 @ X18) = X18) & ((X0 @ X20 @ X19) = X21) & ((X0 @ X19 @ X18) = X21) & (X18 != X20) & ((X0 @ X18 @ X21) = X21) & ((X1 @ X20 @ X21) = X20) & ((X1 @ X22 @ X18) = X22) & ((X0 @ X22 @ X18) = X18) & (X20 != X21) & ((X1 @ X18 @ X21) = X18) & (X19 != X22) & ((X1 @ X22 @ X21) = X22) & ((X1 @ X20 @ X19) = X22) & (X18 != X19) & (X18 != X21) & ((X1 @ X22 @ X20) = X22) & (X20 != X22) & ((X0 @ X20 @ X18) = X20) & (X19 != X20) & ((X1 @ X19 @ X18) = X22) & ((X0 @ X19 @ X21) = X21) & ((X0 @ X22 @ X19) = X19)) & ! [X4 : a] : ((X1 @ X4 @ X4) = X4) & ! [X11 : a,X12 : a] : ((X1 @ X12 @ X11) = (X1 @ X11 @ X12)) & ! [X24 : a,X23 : a,X25 : a] : ((X1 @ X24 @ (X0 @ X25 @ (X1 @ X24 @ X23))) = (X0 @ (X1 @ X24 @ X25) @ (X1 @ X24 @ X23))))),
% 1.62/1.99 inference(flattening,[status(thm)],[f5])).
% 1.62/1.99 thf(f5,plain,(
% 1.62/1.99 ? [X0 : a > a > a,X1 : a > a > a] : ((! [X24 : a,X23 : a,X25 : a] : ((X1 @ X24 @ (X0 @ X25 @ (X1 @ X24 @ X23))) = (X0 @ (X1 @ X24 @ X25) @ (X1 @ X24 @ X23))) & ? [X21 : a,X20 : a,X19 : a,X18 : a,X22 : a] : ((X18 != X22) & (X21 != X22) & ((X1 @ X19 @ X21) = X19) & ((X1 @ X22 @ X19) = X22) & ((X0 @ X22 @ X20) = X20) & (X19 != X21) & ((X0 @ X22 @ X21) = X21) & ((X0 @ X20 @ X21) = X21) & ((X1 @ X20 @ X18) = X18) & ((X0 @ X20 @ X19) = X21) & ((X0 @ X19 @ X18) = X21) & (X18 != X20) & ((X0 @ X18 @ X21) = X21) & ((X1 @ X20 @ X21) = X20) & ((X1 @ X22 @ X18) = X22) & ((X0 @ X22 @ X18) = X18) & (X20 != X21) & ((X1 @ X18 @ X21) = X18) & (X19 != X22) & ((X1 @ X22 @ X21) = X22) & ((X1 @ X20 @ X19) = X22) & (X18 != X19) & (X18 != X21) & ((X1 @ X22 @ X20) = X22) & (X20 != X22) & ((X0 @ X20 @ X18) = X20) & (X19 != X20) & ((X1 @ X19 @ X18) = X22) & ((X0 @ X19 @ X21) = X21) & ((X0 @ X22 @ X19) = X19))) & (! [X10 : a] : ((X0 @ X10 @ X10) = X10) & ! [X2 : a,X3 : a] : ((X0 @ X2 @ X3) = (X0 @ X3 @ X2)) & ! [X9 : a,X8 : a] : ((X0 @ (X1 @ X9 @ X8) @ X8) = X8) & ! [X4 : a] : ((X1 @ X4 @ X4) = X4) & ! [X16 : a,X17 : a] : ((X1 @ (X0 @ X17 @ X16) @ X16) = X16) & ! [X14 : a,X15 : a,X13 : a] : ((X1 @ X15 @ (X1 @ X14 @ X13)) = (X1 @ (X1 @ X15 @ X14) @ X13)) & ! [X5 : a,X7 : a,X6 : a] : ((X0 @ X7 @ (X0 @ X5 @ X6)) = (X0 @ (X0 @ X7 @ X5) @ X6)) & ! [X11 : a,X12 : a] : ((X1 @ X12 @ X11) = (X1 @ X11 @ X12))))),
% 1.62/1.99 inference(ennf_transformation,[status(thm)],[f4])).
% 1.62/1.99 thf(f4,plain,(
% 1.62/1.99 ~! [X0 : a > a > a,X1 : a > a > a] : ((! [X10 : a] : ((X0 @ X10 @ X10) = X10) & ! [X2 : a,X3 : a] : ((X0 @ X2 @ X3) = (X0 @ X3 @ X2)) & ! [X9 : a,X8 : a] : ((X0 @ (X1 @ X9 @ X8) @ X8) = X8) & ! [X4 : a] : ((X1 @ X4 @ X4) = X4) & ! [X16 : a,X17 : a] : ((X1 @ (X0 @ X17 @ X16) @ X16) = X16) & ! [X14 : a,X15 : a,X13 : a] : ((X1 @ X15 @ (X1 @ X14 @ X13)) = (X1 @ (X1 @ X15 @ X14) @ X13)) & ! [X5 : a,X7 : a,X6 : a] : ((X0 @ X7 @ (X0 @ X5 @ X6)) = (X0 @ (X0 @ X7 @ X5) @ X6)) & ! [X11 : a,X12 : a] : ((X1 @ X12 @ X11) = (X1 @ X11 @ X12))) => (? [X21 : a,X20 : a,X19 : a,X18 : a,X22 : a] : ((X18 != X22) & (X21 != X22) & ((X1 @ X19 @ X21) = X19) & ((X1 @ X22 @ X19) = X22) & ((X0 @ X22 @ X20) = X20) & (X19 != X21) & ((X0 @ X22 @ X21) = X21) & ((X0 @ X20 @ X21) = X21) & ((X1 @ X20 @ X18) = X18) & ((X0 @ X20 @ X19) = X21) & ((X0 @ X19 @ X18) = X21) & (X18 != X20) & ((X0 @ X18 @ X21) = X21) & ((X1 @ X20 @ X21) = X20) & ((X1 @ X22 @ X18) = X22) & ((X0 @ X22 @ X18) = X18) & (X20 != X21) & ((X1 @ X18 @ X21) = X18) & (X19 != X22) & ((X1 @ X22 @ X21) = X22) & ((X1 @ X20 @ X19) = X22) & (X18 != X19) & (X18 != X21) & ((X1 @ X22 @ X20) = X22) & (X20 != X22) & ((X0 @ X20 @ X18) = X20) & (X19 != X20) & ((X1 @ X19 @ X18) = X22) & ((X0 @ X19 @ X21) = X21) & ((X0 @ X22 @ X19) = X19)) => ~! [X24 : a,X23 : a,X25 : a] : ((X1 @ X24 @ (X0 @ X25 @ (X1 @ X24 @ X23))) = (X0 @ (X1 @ X24 @ X25) @ (X1 @ X24 @ X23)))))),
% 1.62/1.99 inference(rectify,[status(thm)],[f2])).
% 1.62/1.99 thf(f2,negated_conjecture,(
% 1.62/1.99 ~! [X1 : a > a > a,X0 : a > a > a] : ((! [X3 : a,X2 : a] : ((X1 @ X2 @ X3) = (X1 @ X3 @ X2)) & ! [X2 : a] : ((X0 @ X2 @ X2) = X2) & ! [X3 : a,X4 : a,X2 : a] : ((X1 @ (X1 @ X2 @ X3) @ X4) = (X1 @ X2 @ (X1 @ X3 @ X4))) & ! [X3 : a,X2 : a] : ((X1 @ (X0 @ X2 @ X3) @ X3) = X3) & ! [X2 : a] : ((X1 @ X2 @ X2) = X2) & ! [X2 : a,X3 : a] : ((X0 @ X2 @ X3) = (X0 @ X3 @ X2)) & ! [X4 : a,X3 : a,X2 : a] : ((X0 @ (X0 @ X2 @ X3) @ X4) = (X0 @ X2 @ (X0 @ X3 @ X4))) & ! [X3 : a,X2 : a] : ((X0 @ (X1 @ X2 @ X3) @ X3) = X3)) => (? [X7 : a,X6 : a,X5 : a,X3 : a,X2 : a] : (((X0 @ X2 @ X3) = X2) & ((X1 @ X5 @ X6) = X3) & (X5 != X7) & ((X0 @ X5 @ X3) = X5) & ((X0 @ X2 @ X7) = X2) & ((X1 @ X2 @ X5) = X5) & ((X1 @ X2 @ X7) = X7) & ((X0 @ X5 @ X7) = X7) & ((X1 @ X6 @ X7) = X3) & (X2 != X6) & (X3 != X7) & ((X1 @ X2 @ X6) = X6) & (X3 != X6) & ((X0 @ X5 @ X6) = X2) & (X2 != X5) & ((X0 @ X7 @ X3) = X7) & (X2 != X7) & ((X1 @ X5 @ X7) = X5) & ((X1 @ X2 @ X3) = X3) & (X3 != X5) & ((X0 @ X6 @ X3) = X6) & ((X1 @ X7 @ X3) = X3) & ((X0 @ X2 @ X5) = X2) & ((X1 @ X5 @ X3) = X3) & ((X0 @ X2 @ X6) = X2) & ((X1 @ X6 @ X3) = X3) & ((X0 @ X6 @ X7) = X2) & (X6 != X7) & (X2 != X3) & (X5 != X6)) => ~! [X4 : a,X2 : a,X3 : a] : ((X0 @ X2 @ (X1 @ X3 @ (X0 @ X2 @ X4))) = (X1 @ (X0 @ X2 @ X3) @ (X0 @ X2 @ X4)))))),
% 1.62/1.99 inference(negated_conjecture,[status(cth)],[f1])).
% 1.62/1.99 thf(f1,conjecture,(
% 1.62/1.99 ! [X1 : a > a > a,X0 : a > a > a] : ((! [X3 : a,X2 : a] : ((X1 @ X2 @ X3) = (X1 @ X3 @ X2)) & ! [X2 : a] : ((X0 @ X2 @ X2) = X2) & ! [X3 : a,X4 : a,X2 : a] : ((X1 @ (X1 @ X2 @ X3) @ X4) = (X1 @ X2 @ (X1 @ X3 @ X4))) & ! [X3 : a,X2 : a] : ((X1 @ (X0 @ X2 @ X3) @ X3) = X3) & ! [X2 : a] : ((X1 @ X2 @ X2) = X2) & ! [X2 : a,X3 : a] : ((X0 @ X2 @ X3) = (X0 @ X3 @ X2)) & ! [X4 : a,X3 : a,X2 : a] : ((X0 @ (X0 @ X2 @ X3) @ X4) = (X0 @ X2 @ (X0 @ X3 @ X4))) & ! [X3 : a,X2 : a] : ((X0 @ (X1 @ X2 @ X3) @ X3) = X3)) => (? [X7 : a,X6 : a,X5 : a,X3 : a,X2 : a] : (((X0 @ X2 @ X3) = X2) & ((X1 @ X5 @ X6) = X3) & (X5 != X7) & ((X0 @ X5 @ X3) = X5) & ((X0 @ X2 @ X7) = X2) & ((X1 @ X2 @ X5) = X5) & ((X1 @ X2 @ X7) = X7) & ((X0 @ X5 @ X7) = X7) & ((X1 @ X6 @ X7) = X3) & (X2 != X6) & (X3 != X7) & ((X1 @ X2 @ X6) = X6) & (X3 != X6) & ((X0 @ X5 @ X6) = X2) & (X2 != X5) & ((X0 @ X7 @ X3) = X7) & (X2 != X7) & ((X1 @ X5 @ X7) = X5) & ((X1 @ X2 @ X3) = X3) & (X3 != X5) & ((X0 @ X6 @ X3) = X6) & ((X1 @ X7 @ X3) = X3) & ((X0 @ X2 @ X5) = X2) & ((X1 @ X5 @ X3) = X3) & ((X0 @ X2 @ X6) = X2) & ((X1 @ X6 @ X3) = X3) & ((X0 @ X6 @ X7) = X2) & (X6 != X7) & (X2 != X3) & (X5 != X6)) => ~! [X4 : a,X2 : a,X3 : a] : ((X0 @ X2 @ (X1 @ X3 @ (X0 @ X2 @ X4))) = (X1 @ (X0 @ X2 @ X3) @ (X0 @ X2 @ X4)))))),
% 1.62/1.99 file('/export/starexec/sandbox2/tmp/tmp.3pSN5iyBJd/DTF2THF_15533.p',cPENTAGON_THM2B_pme)).
% 1.62/1.99 thf(f2416,plain,(
% 1.62/1.99 (sK5 = sK3)),
% 1.62/1.99 inference(forward_demodulation,[status(thm)],[f2415,f60])).
% 1.62/1.99 thf(f60,plain,(
% 1.62/1.99 ((sK0 @ sK3 @ (sK1 @ sK3 @ sK4)) = sK3)),
% 1.62/1.99 inference(definition_unfolding,[status(thm)],[f30,f34])).
% 1.62/1.99 thf(f34,plain,(
% 1.62/1.99 ((sK1 @ sK3 @ sK4) = sK2)),
% 1.62/1.99 inference(cnf_transformation,[status(thm)],[f10])).
% 1.62/1.99 thf(f30,plain,(
% 1.62/1.99 (sK3 = (sK0 @ sK3 @ sK2))),
% 1.62/1.99 inference(cnf_transformation,[status(thm)],[f10])).
% 1.62/1.99 thf(f2415,plain,(
% 1.62/1.99 (sK5 = (sK0 @ sK3 @ (sK1 @ sK3 @ sK4)))),
% 1.62/1.99 inference(forward_demodulation,[status(thm)],[f2385,f58])).
% 1.62/1.99 thf(f58,plain,(
% 1.62/1.99 ((sK1 @ sK3 @ sK4) = (sK1 @ sK4 @ sK5))),
% 1.62/1.99 inference(definition_unfolding,[status(thm)],[f33,f34])).
% 1.62/1.99 thf(f33,plain,(
% 1.62/1.99 ((sK1 @ sK4 @ sK5) = sK2)),
% 1.62/1.99 inference(cnf_transformation,[status(thm)],[f10])).
% 1.62/1.99 thf(f2385,plain,(
% 1.62/1.99 (sK5 = (sK0 @ sK3 @ (sK1 @ sK4 @ sK5)))),
% 1.62/1.99 inference(superposition,[status(thm)],[f301,f62])).
% 1.62/1.99 thf(f62,plain,(
% 1.62/1.99 (sK5 = (sK1 @ (sK0 @ sK3 @ sK4) @ sK5))),
% 1.62/1.99 inference(definition_unfolding,[status(thm)],[f28,f23])).
% 1.62/1.99 thf(f23,plain,(
% 1.62/1.99 ((sK0 @ sK3 @ sK4) = sK6)),
% 1.62/1.99 inference(cnf_transformation,[status(thm)],[f10])).
% 1.62/1.99 thf(f28,plain,(
% 1.62/1.99 (sK5 = (sK1 @ sK6 @ sK5))),
% 1.62/1.99 inference(cnf_transformation,[status(thm)],[f10])).
% 1.62/1.99 thf(f301,plain,(
% 1.62/1.99 ( ! [X0 : a] : (((sK0 @ sK3 @ (sK1 @ X0 @ sK5)) = (sK1 @ (sK0 @ sK3 @ X0) @ sK5))) )),
% 1.62/1.99 inference(superposition,[status(thm)],[f11,f35])).
% 1.62/1.99 thf(f35,plain,(
% 1.62/1.99 (sK5 = (sK0 @ sK3 @ sK5))),
% 1.62/1.99 inference(cnf_transformation,[status(thm)],[f10])).
% 1.62/1.99 thf(f11,plain,(
% 1.62/1.99 ( ! [X24 : a,X25 : a,X23 : a] : (((sK0 @ X23 @ (sK1 @ X25 @ (sK0 @ X23 @ X24))) = (sK1 @ (sK0 @ X23 @ X25) @ (sK0 @ X23 @ X24)))) )),
% 1.62/1.99 inference(cnf_transformation,[status(thm)],[f10])).
% 1.62/1.99 % SZS output end Proof for DTF2THF_15533
% 1.62/1.99 % (15783)------------------------------
% 1.62/1.99 % (15783)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.99 % (15783)Termination reason: Refutation
% 1.62/1.99
% 1.62/1.99 % (15783)Memory used [KB]: 7291
% 1.62/1.99 % (15783)Time elapsed: 0.246 s
% 1.62/1.99 % (15783)Instructions burned: 804 (million)
% 1.62/1.99 % (15783)------------------------------
% 1.62/1.99 % (15783)------------------------------
% 1.62/1.99 % (15683)Success in time 0.727 s
%------------------------------------------------------------------------------