%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU997^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.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 09:37:55 AM UTC 2026
% Result : Theorem 1.84s 1.71s
% Output : Refutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of formulae : 47 ( 37 unt; 0 typ; 0 def)
% Number of atoms : 240 ( 239 equ; 0 cnn)
% Maximal formula atoms : 42 ( 5 avg)
% Number of connectives : 1050 ( 11 ~; 0 |; 184 &; 846 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 333 ( 0 ^; 290 !; 43 ?; 333 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_4,type,
sK0: a ).
thf(func_def_5,type,
sK1: a ).
thf(func_def_6,type,
sK2: a > a > a ).
thf(func_def_7,type,
sK3: a > a > a ).
thf(func_def_8,type,
sK4: a > a ).
thf(func_def_9,type,
sK5: a ).
thf(func_def_10,type,
sK6: a ).
thf(func_def_11,type,
sK7: a ).
thf(f726,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f725,f16]) ).
thf(f16,plain,
sK5 != sK6,
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f11,plain,
( ! [X4: a,X5: a,X6: a] :
( ( sK2 @ X5 @ ( sK2 @ X6 @ X4 ) )
= ( sK2 @ ( sK2 @ X5 @ X6 ) @ X4 ) )
& ! [X7: a] :
( ( sK1
= ( sK3 @ X7 @ ( sK4 @ X7 ) ) )
& ( sK0
= ( sK2 @ X7 @ ( sK4 @ X7 ) ) ) )
& ! [X9: a] :
( sK0
= ( sK2 @ sK0 @ X9 ) )
& ! [X10: a,X11: a,X12: a] :
( ( sK2 @ ( sK3 @ X11 @ X12 ) @ ( sK3 @ X11 @ X10 ) )
= ( sK3 @ X11 @ ( sK2 @ X12 @ X10 ) ) )
& ! [X13: a,X14: a,X15: a] :
( ( sK3 @ ( sK2 @ X14 @ X13 ) @ ( sK2 @ X14 @ X15 ) )
= ( sK2 @ X14 @ ( sK3 @ X13 @ X15 ) ) )
& ! [X16: a,X17: a] :
( ( sK2 @ X17 @ X16 )
= ( sK2 @ X16 @ X17 ) )
& ! [X18: a] :
( ( sK3 @ X18 @ X18 )
= X18 )
& ! [X19: a,X20: a,X21: a] :
( ( sK3 @ X21 @ ( sK3 @ X20 @ X19 ) )
= ( sK3 @ ( sK3 @ X21 @ X20 ) @ X19 ) )
& ! [X22: a] :
( sK1
= ( sK3 @ sK1 @ X22 ) )
& ! [X23: a,X24: a] :
( ( sK3 @ ( sK2 @ X23 @ X24 ) @ X24 )
= X24 )
& ! [X25: a] :
( ( sK2 @ sK1 @ X25 )
= X25 )
& ! [X26: a] :
( ( sK2 @ X26 @ X26 )
= X26 )
& ! [X27: a] :
( ( sK3 @ sK0 @ X27 )
= X27 )
& ! [X28: a,X29: a] :
( ( sK3 @ X28 @ X29 )
= ( sK3 @ X29 @ X28 ) )
& ( sK1
= ( sK3 @ sK7 @ sK6 ) )
& ( sK5 != sK6 )
& ( sK0
= ( sK2 @ sK7 @ sK6 ) )
& ( ( sK2 @ sK7 @ sK5 )
= sK0 )
& ( sK1
= ( sK3 @ sK7 @ sK5 ) )
& ! [X33: a,X34: a] :
( ( sK2 @ ( sK3 @ X34 @ X33 ) @ X33 )
= X33 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f7,f10,f9,f8]) ).
thf(f8,plain,
( ? [X0: a,X1: a,X2: a > a > a,X3: a > a > a] :
( ! [X4: a,X5: a,X6: a] :
( ( X2 @ ( X2 @ X5 @ X6 ) @ X4 )
= ( X2 @ X5 @ ( X2 @ X6 @ X4 ) ) )
& ! [X7: a] :
? [X8: a] :
( ( ( X3 @ X7 @ X8 )
= X1 )
& ( ( X2 @ X7 @ X8 )
= X0 ) )
& ! [X9: a] :
( ( X2 @ X0 @ X9 )
= X0 )
& ! [X10: a,X11: a,X12: a] :
( ( X2 @ ( X3 @ X11 @ X12 ) @ ( X3 @ X11 @ X10 ) )
= ( X3 @ X11 @ ( X2 @ X12 @ X10 ) ) )
& ! [X13: a,X14: a,X15: a] :
( ( X2 @ X14 @ ( X3 @ X13 @ X15 ) )
= ( X3 @ ( X2 @ X14 @ X13 ) @ ( X2 @ X14 @ X15 ) ) )
& ! [X16: a,X17: a] :
( ( X2 @ X17 @ X16 )
= ( X2 @ X16 @ X17 ) )
& ! [X18: a] :
( ( X3 @ X18 @ X18 )
= X18 )
& ! [X19: a,X20: a,X21: a] :
( ( X3 @ X21 @ ( X3 @ X20 @ X19 ) )
= ( X3 @ ( X3 @ X21 @ X20 ) @ X19 ) )
& ! [X22: a] :
( ( X3 @ X1 @ X22 )
= X1 )
& ! [X23: a,X24: a] :
( ( X3 @ ( X2 @ X23 @ X24 ) @ X24 )
= X24 )
& ! [X25: a] :
( ( X2 @ X1 @ X25 )
= X25 )
& ! [X26: a] :
( ( X2 @ X26 @ X26 )
= X26 )
& ! [X27: a] :
( ( X3 @ X0 @ X27 )
= X27 )
& ! [X28: a,X29: a] :
( ( X3 @ X28 @ X29 )
= ( X3 @ X29 @ X28 ) )
& ? [X30: a,X31: a,X32: a] :
( ( ( X3 @ X32 @ X31 )
= X1 )
& ( X30 != X31 )
& ( ( X2 @ X32 @ X31 )
= X0 )
& ( ( X2 @ X32 @ X30 )
= X0 )
& ( ( X3 @ X32 @ X30 )
= X1 ) )
& ! [X33: a,X34: a] :
( ( X2 @ ( X3 @ X34 @ X33 ) @ X33 )
= X33 ) )
=> ( ! [X6: a,X5: a,X4: a] :
( ( sK2 @ X5 @ ( sK2 @ X6 @ X4 ) )
= ( sK2 @ ( sK2 @ X5 @ X6 ) @ X4 ) )
& ! [X7: a] :
? [X8: a] :
( ( sK1
= ( sK3 @ X7 @ X8 ) )
& ( sK0
= ( sK2 @ X7 @ X8 ) ) )
& ! [X9: a] :
( sK0
= ( sK2 @ sK0 @ X9 ) )
& ! [X12: a,X11: a,X10: a] :
( ( sK2 @ ( sK3 @ X11 @ X12 ) @ ( sK3 @ X11 @ X10 ) )
= ( sK3 @ X11 @ ( sK2 @ X12 @ X10 ) ) )
& ! [X15: a,X14: a,X13: a] :
( ( sK3 @ ( sK2 @ X14 @ X13 ) @ ( sK2 @ X14 @ X15 ) )
= ( sK2 @ X14 @ ( sK3 @ X13 @ X15 ) ) )
& ! [X17: a,X16: a] :
( ( sK2 @ X17 @ X16 )
= ( sK2 @ X16 @ X17 ) )
& ! [X18: a] :
( ( sK3 @ X18 @ X18 )
= X18 )
& ! [X21: a,X20: a,X19: a] :
( ( sK3 @ X21 @ ( sK3 @ X20 @ X19 ) )
= ( sK3 @ ( sK3 @ X21 @ X20 ) @ X19 ) )
& ! [X22: a] :
( sK1
= ( sK3 @ sK1 @ X22 ) )
& ! [X24: a,X23: a] :
( ( sK3 @ ( sK2 @ X23 @ X24 ) @ X24 )
= X24 )
& ! [X25: a] :
( ( sK2 @ sK1 @ X25 )
= X25 )
& ! [X26: a] :
( ( sK2 @ X26 @ X26 )
= X26 )
& ! [X27: a] :
( ( sK3 @ sK0 @ X27 )
= X27 )
& ! [X29: a,X28: a] :
( ( sK3 @ X28 @ X29 )
= ( sK3 @ X29 @ X28 ) )
& ? [X32: a,X31: a,X30: a] :
( ( sK1
= ( sK3 @ X32 @ X31 ) )
& ( X30 != X31 )
& ( ( sK2 @ X32 @ X31 )
= sK0 )
& ( sK0
= ( sK2 @ X32 @ X30 ) )
& ( sK1
= ( sK3 @ X32 @ X30 ) ) )
& ! [X34: a,X33: a] :
( ( sK2 @ ( sK3 @ X34 @ X33 ) @ X33 )
= X33 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f9,plain,
! [X7: a] :
( ? [X8: a] :
( ( sK1
= ( sK3 @ X7 @ X8 ) )
& ( sK0
= ( sK2 @ X7 @ X8 ) ) )
=> ( ( sK1
= ( sK3 @ X7 @ ( sK4 @ X7 ) ) )
& ( sK0
= ( sK2 @ X7 @ ( sK4 @ X7 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f10,plain,
( ? [X32: a,X31: a,X30: a] :
( ( sK1
= ( sK3 @ X32 @ X31 ) )
& ( X30 != X31 )
& ( ( sK2 @ X32 @ X31 )
= sK0 )
& ( sK0
= ( sK2 @ X32 @ X30 ) )
& ( sK1
= ( sK3 @ X32 @ X30 ) ) )
=> ( ( sK1
= ( sK3 @ sK7 @ sK6 ) )
& ( sK5 != sK6 )
& ( sK0
= ( sK2 @ sK7 @ sK6 ) )
& ( ( sK2 @ sK7 @ sK5 )
= sK0 )
& ( sK1
= ( sK3 @ sK7 @ sK5 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f7,plain,
? [X0: a,X1: a,X2: a > a > a,X3: a > a > a] :
( ! [X4: a,X5: a,X6: a] :
( ( X2 @ ( X2 @ X5 @ X6 ) @ X4 )
= ( X2 @ X5 @ ( X2 @ X6 @ X4 ) ) )
& ! [X7: a] :
? [X8: a] :
( ( ( X3 @ X7 @ X8 )
= X1 )
& ( ( X2 @ X7 @ X8 )
= X0 ) )
& ! [X9: a] :
( ( X2 @ X0 @ X9 )
= X0 )
& ! [X10: a,X11: a,X12: a] :
( ( X2 @ ( X3 @ X11 @ X12 ) @ ( X3 @ X11 @ X10 ) )
= ( X3 @ X11 @ ( X2 @ X12 @ X10 ) ) )
& ! [X13: a,X14: a,X15: a] :
( ( X2 @ X14 @ ( X3 @ X13 @ X15 ) )
= ( X3 @ ( X2 @ X14 @ X13 ) @ ( X2 @ X14 @ X15 ) ) )
& ! [X16: a,X17: a] :
( ( X2 @ X17 @ X16 )
= ( X2 @ X16 @ X17 ) )
& ! [X18: a] :
( ( X3 @ X18 @ X18 )
= X18 )
& ! [X19: a,X20: a,X21: a] :
( ( X3 @ X21 @ ( X3 @ X20 @ X19 ) )
= ( X3 @ ( X3 @ X21 @ X20 ) @ X19 ) )
& ! [X22: a] :
( ( X3 @ X1 @ X22 )
= X1 )
& ! [X23: a,X24: a] :
( ( X3 @ ( X2 @ X23 @ X24 ) @ X24 )
= X24 )
& ! [X25: a] :
( ( X2 @ X1 @ X25 )
= X25 )
& ! [X26: a] :
( ( X2 @ X26 @ X26 )
= X26 )
& ! [X27: a] :
( ( X3 @ X0 @ X27 )
= X27 )
& ! [X28: a,X29: a] :
( ( X3 @ X28 @ X29 )
= ( X3 @ X29 @ X28 ) )
& ? [X30: a,X31: a,X32: a] :
( ( ( X3 @ X32 @ X31 )
= X1 )
& ( X30 != X31 )
& ( ( X2 @ X32 @ X31 )
= X0 )
& ( ( X2 @ X32 @ X30 )
= X0 )
& ( ( X3 @ X32 @ X30 )
= X1 ) )
& ! [X33: a,X34: a] :
( ( X2 @ ( X3 @ X34 @ X33 ) @ X33 )
= X33 ) ),
inference(rectify,[status(thm)],[f6]) ).
thf(f6,plain,
? [X3: a,X1: a,X2: a > a > a,X0: a > a > a] :
( ! [X12: a,X14: a,X13: a] :
( ( X2 @ ( X2 @ X14 @ X13 ) @ X12 )
= ( X2 @ X14 @ ( X2 @ X13 @ X12 ) ) )
& ! [X27: a] :
? [X28: a] :
( ( ( X0 @ X27 @ X28 )
= X1 )
& ( ( X2 @ X27 @ X28 )
= X3 ) )
& ! [X7: a] :
( ( X2 @ X3 @ X7 )
= X3 )
& ! [X30: a,X29: a,X31: a] :
( ( X2 @ ( X0 @ X29 @ X31 ) @ ( X0 @ X29 @ X30 ) )
= ( X0 @ X29 @ ( X2 @ X31 @ X30 ) ) )
& ! [X16: a,X15: a,X17: a] :
( ( X0 @ ( X2 @ X15 @ X16 ) @ ( X2 @ X15 @ X17 ) )
= ( X2 @ X15 @ ( X0 @ X16 @ X17 ) ) )
& ! [X19: a,X18: a] :
( ( X2 @ X18 @ X19 )
= ( X2 @ X19 @ X18 ) )
& ! [X4: a] :
( ( X0 @ X4 @ X4 )
= X4 )
& ! [X25: a,X24: a,X23: a] :
( ( X0 @ ( X0 @ X23 @ X24 ) @ X25 )
= ( X0 @ X23 @ ( X0 @ X24 @ X25 ) ) )
& ! [X22: a] :
( ( X0 @ X1 @ X22 )
= X1 )
& ! [X11: a,X10: a] :
( ( X0 @ ( X2 @ X11 @ X10 ) @ X10 )
= X10 )
& ! [X26: a] :
( ( X2 @ X1 @ X26 )
= X26 )
& ! [X6: a] :
( ( X2 @ X6 @ X6 )
= X6 )
& ! [X5: a] :
( ( X0 @ X3 @ X5 )
= X5 )
& ! [X8: a,X9: a] :
( ( X0 @ X9 @ X8 )
= ( X0 @ X8 @ X9 ) )
& ? [X33: a,X32: a,X34: a] :
( ( ( X0 @ X34 @ X32 )
= X1 )
& ( X32 != X33 )
& ( ( X2 @ X34 @ X32 )
= X3 )
& ( ( X2 @ X34 @ X33 )
= X3 )
& ( ( X0 @ X34 @ X33 )
= X1 ) )
& ! [X20: a,X21: a] :
( ( X2 @ ( X0 @ X21 @ X20 ) @ X20 )
= X20 ) ),
inference(flattening,[status(thm)],[f5]) ).
thf(f5,plain,
? [X1: a,X3: a,X0: a > a > a,X2: a > a > a] :
( ? [X32: a,X34: a,X33: a] :
( ( X32 != X33 )
& ( ( X2 @ X34 @ X32 )
= X3 )
& ( ( X0 @ X34 @ X33 )
= X1 )
& ( ( X0 @ X34 @ X32 )
= X1 )
& ( ( X2 @ X34 @ X33 )
= X3 ) )
& ! [X26: a] :
( ( X2 @ X1 @ X26 )
= X26 )
& ! [X27: a] :
? [X28: a] :
( ( ( X0 @ X27 @ X28 )
= X1 )
& ( ( X2 @ X27 @ X28 )
= X3 ) )
& ! [X12: a,X14: a,X13: a] :
( ( X2 @ ( X2 @ X14 @ X13 ) @ X12 )
= ( X2 @ X14 @ ( X2 @ X13 @ X12 ) ) )
& ! [X19: a,X18: a] :
( ( X2 @ X18 @ X19 )
= ( X2 @ X19 @ X18 ) )
& ! [X16: a,X15: a,X17: a] :
( ( X0 @ ( X2 @ X15 @ X16 ) @ ( X2 @ X15 @ X17 ) )
= ( X2 @ X15 @ ( X0 @ X16 @ X17 ) ) )
& ! [X30: a,X29: a,X31: a] :
( ( X2 @ ( X0 @ X29 @ X31 ) @ ( X0 @ X29 @ X30 ) )
= ( X0 @ X29 @ ( X2 @ X31 @ X30 ) ) )
& ! [X8: a,X9: a] :
( ( X0 @ X9 @ X8 )
= ( X0 @ X8 @ X9 ) )
& ! [X6: a] :
( ( X2 @ X6 @ X6 )
= X6 )
& ! [X22: a] :
( ( X0 @ X1 @ X22 )
= X1 )
& ! [X25: a,X24: a,X23: a] :
( ( X0 @ ( X0 @ X23 @ X24 ) @ X25 )
= ( X0 @ X23 @ ( X0 @ X24 @ X25 ) ) )
& ! [X11: a,X10: a] :
( ( X0 @ ( X2 @ X11 @ X10 ) @ X10 )
= X10 )
& ! [X20: a,X21: a] :
( ( X2 @ ( X0 @ X21 @ X20 ) @ X20 )
= X20 )
& ! [X7: a] :
( ( X2 @ X3 @ X7 )
= X3 )
& ! [X5: a] :
( ( X0 @ X3 @ X5 )
= X5 )
& ! [X4: a] :
( ( X0 @ X4 @ X4 )
= X4 ) ),
inference(ennf_transformation,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X1: a,X3: a,X0: a > a > a,X2: a > a > a] :
( ( ! [X26: a] :
( ( X2 @ X1 @ X26 )
= X26 )
& ! [X27: a] :
? [X28: a] :
( ( ( X0 @ X27 @ X28 )
= X1 )
& ( ( X2 @ X27 @ X28 )
= X3 ) )
& ! [X12: a,X14: a,X13: a] :
( ( X2 @ ( X2 @ X14 @ X13 ) @ X12 )
= ( X2 @ X14 @ ( X2 @ X13 @ X12 ) ) )
& ! [X19: a,X18: a] :
( ( X2 @ X18 @ X19 )
= ( X2 @ X19 @ X18 ) )
& ! [X16: a,X15: a,X17: a] :
( ( X0 @ ( X2 @ X15 @ X16 ) @ ( X2 @ X15 @ X17 ) )
= ( X2 @ X15 @ ( X0 @ X16 @ X17 ) ) )
& ! [X30: a,X29: a,X31: a] :
( ( X2 @ ( X0 @ X29 @ X31 ) @ ( X0 @ X29 @ X30 ) )
= ( X0 @ X29 @ ( X2 @ X31 @ X30 ) ) )
& ! [X8: a,X9: a] :
( ( X0 @ X9 @ X8 )
= ( X0 @ X8 @ X9 ) )
& ! [X6: a] :
( ( X2 @ X6 @ X6 )
= X6 )
& ! [X22: a] :
( ( X0 @ X1 @ X22 )
= X1 )
& ! [X25: a,X24: a,X23: a] :
( ( X0 @ ( X0 @ X23 @ X24 ) @ X25 )
= ( X0 @ X23 @ ( X0 @ X24 @ X25 ) ) )
& ! [X11: a,X10: a] :
( ( X0 @ ( X2 @ X11 @ X10 ) @ X10 )
= X10 )
& ! [X20: a,X21: a] :
( ( X2 @ ( X0 @ X21 @ X20 ) @ X20 )
= X20 )
& ! [X7: a] :
( ( X2 @ X3 @ X7 )
= X3 )
& ! [X5: a] :
( ( X0 @ X3 @ X5 )
= X5 )
& ! [X4: a] :
( ( X0 @ X4 @ X4 )
= X4 ) )
=> ! [X32: a,X34: a,X33: a] :
( ( ( ( X2 @ X34 @ X32 )
= X3 )
& ( ( X0 @ X34 @ X33 )
= X1 )
& ( ( X0 @ X34 @ X32 )
= X1 )
& ( ( X2 @ X34 @ X33 )
= X3 ) )
=> ( X32 = X33 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X1: a > a > a,X3: a,X0: a > a > a,X2: a] :
( ( ! [X4: a] :
( ( X1 @ X4 @ X4 )
= X4 )
& ! [X4: a] :
( ( X1 @ X2 @ X4 )
= X4 )
& ! [X4: a] :
( ( X0 @ X4 @ X4 )
= X4 )
& ! [X4: a] :
( ( X0 @ X2 @ X4 )
= X2 )
& ! [X4: a,X5: a] :
( ( X1 @ X4 @ X5 )
= ( X1 @ X5 @ X4 ) )
& ! [X5: a,X4: a] :
( ( X1 @ ( X0 @ X4 @ X5 ) @ X5 )
= X5 )
& ! [X6: a,X5: a,X4: a] :
( ( X0 @ ( X0 @ X4 @ X5 ) @ X6 )
= ( X0 @ X4 @ ( X0 @ X5 @ X6 ) ) )
& ! [X4: a,X5: a,X6: a] :
( ( X0 @ X4 @ ( X1 @ X5 @ X6 ) )
= ( X1 @ ( X0 @ X4 @ X5 ) @ ( X0 @ X4 @ X6 ) ) )
& ! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
= ( X0 @ X5 @ X4 ) )
& ! [X5: a,X4: a] :
( ( X0 @ ( X1 @ X4 @ X5 ) @ X5 )
= X5 )
& ! [X4: a] :
( ( X1 @ X3 @ X4 )
= X3 )
& ! [X4: a,X5: a,X6: a] :
( ( X1 @ ( X1 @ X4 @ X5 ) @ X6 )
= ( X1 @ X4 @ ( X1 @ X5 @ X6 ) ) )
& ! [X4: a] :
( ( X0 @ X3 @ X4 )
= X4 )
& ! [X4: a] :
? [X5: a] :
( ( ( X1 @ X4 @ X5 )
= X3 )
& ( ( X0 @ X4 @ X5 )
= X2 ) )
& ! [X4: a,X6: a,X5: a] :
( ( X1 @ X4 @ ( X0 @ X5 @ X6 ) )
= ( X0 @ ( X1 @ X4 @ X5 ) @ ( X1 @ X4 @ X6 ) ) ) )
=> ! [X6: a,X5: a,X4: a] :
( ( ( ( X0 @ X4 @ X5 )
= X2 )
& ( ( X0 @ X4 @ X6 )
= X2 )
& ( ( X1 @ X4 @ X6 )
= X3 )
& ( ( X1 @ X4 @ X5 )
= X3 ) )
=> ( X5 = X6 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X1: a > a > a,X3: a,X0: a > a > a,X2: a] :
( ( ! [X4: a] :
( ( X1 @ X4 @ X4 )
= X4 )
& ! [X4: a] :
( ( X1 @ X2 @ X4 )
= X4 )
& ! [X4: a] :
( ( X0 @ X4 @ X4 )
= X4 )
& ! [X4: a] :
( ( X0 @ X2 @ X4 )
= X2 )
& ! [X4: a,X5: a] :
( ( X1 @ X4 @ X5 )
= ( X1 @ X5 @ X4 ) )
& ! [X5: a,X4: a] :
( ( X1 @ ( X0 @ X4 @ X5 ) @ X5 )
= X5 )
& ! [X6: a,X5: a,X4: a] :
( ( X0 @ ( X0 @ X4 @ X5 ) @ X6 )
= ( X0 @ X4 @ ( X0 @ X5 @ X6 ) ) )
& ! [X4: a,X5: a,X6: a] :
( ( X0 @ X4 @ ( X1 @ X5 @ X6 ) )
= ( X1 @ ( X0 @ X4 @ X5 ) @ ( X0 @ X4 @ X6 ) ) )
& ! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
= ( X0 @ X5 @ X4 ) )
& ! [X5: a,X4: a] :
( ( X0 @ ( X1 @ X4 @ X5 ) @ X5 )
= X5 )
& ! [X4: a] :
( ( X1 @ X3 @ X4 )
= X3 )
& ! [X4: a,X5: a,X6: a] :
( ( X1 @ ( X1 @ X4 @ X5 ) @ X6 )
= ( X1 @ X4 @ ( X1 @ X5 @ X6 ) ) )
& ! [X4: a] :
( ( X0 @ X3 @ X4 )
= X4 )
& ! [X4: a] :
? [X5: a] :
( ( ( X1 @ X4 @ X5 )
= X3 )
& ( ( X0 @ X4 @ X5 )
= X2 ) )
& ! [X4: a,X6: a,X5: a] :
( ( X1 @ X4 @ ( X0 @ X5 @ X6 ) )
= ( X0 @ ( X1 @ X4 @ X5 ) @ ( X1 @ X4 @ X6 ) ) ) )
=> ! [X6: a,X5: a,X4: a] :
( ( ( ( X0 @ X4 @ X5 )
= X2 )
& ( ( X0 @ X4 @ X6 )
= X2 )
& ( ( X1 @ X4 @ X6 )
= X3 )
& ( ( X1 @ X4 @ X5 )
= X3 ) )
=> ( X5 = X6 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ns8bLP5Z0X/DTF2THF_4319.p',cCD_LATTICE_THM_pme) ).
thf(f725,plain,
sK5 = sK6,
inference(backward_demodulation,[status(thm)],[f678,f715]) ).
thf(f715,plain,
( ( sK3 @ sK6 @ sK5 )
= sK5 ),
inference(superposition,[status(thm)],[f22,f692]) ).
thf(f692,plain,
( ( sK2 @ sK6 @ sK5 )
= sK6 ),
inference(superposition,[status(thm)],[f316,f77]) ).
thf(f77,plain,
! [X0: a] :
( ( sK2 @ X0 @ ( sK3 @ sK5 @ sK7 ) )
= X0 ),
inference(superposition,[status(thm)],[f51,f26]) ).
thf(f26,plain,
! [X16: a,X17: a] :
( ( sK2 @ X17 @ X16 )
= ( sK2 @ X16 @ X17 ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f51,plain,
! [X25: a] :
( ( sK2 @ ( sK3 @ sK5 @ sK7 ) @ X25 )
= X25 ),
inference(forward_demodulation,[status(thm)],[f37,f43]) ).
thf(f43,plain,
( ( sK3 @ sK5 @ sK7 )
= ( sK3 @ sK7 @ sK6 ) ),
inference(backward_demodulation,[status(thm)],[f40,f18]) ).
thf(f18,plain,
! [X28: a,X29: a] :
( ( sK3 @ X28 @ X29 )
= ( sK3 @ X29 @ X28 ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f40,plain,
( ( sK3 @ sK7 @ sK6 )
= ( sK3 @ sK7 @ sK5 ) ),
inference(definition_unfolding,[status(thm)],[f13,f17]) ).
thf(f17,plain,
( sK1
= ( sK3 @ sK7 @ sK6 ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f13,plain,
( sK1
= ( sK3 @ sK7 @ sK5 ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f37,plain,
! [X25: a] :
( ( sK2 @ ( sK3 @ sK7 @ sK6 ) @ X25 )
= X25 ),
inference(definition_unfolding,[status(thm)],[f21,f17]) ).
thf(f21,plain,
! [X25: a] :
( ( sK2 @ sK1 @ X25 )
= X25 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f316,plain,
! [X0: a] :
( ( sK2 @ sK6 @ X0 )
= ( sK2 @ sK6 @ ( sK3 @ X0 @ sK7 ) ) ),
inference(forward_demodulation,[status(thm)],[f268,f81]) ).
thf(f81,plain,
! [X0: a] :
( ( sK3 @ X0 @ ( sK2 @ sK5 @ sK7 ) )
= X0 ),
inference(superposition,[status(thm)],[f53,f18]) ).
thf(f53,plain,
! [X27: a] :
( ( sK3 @ ( sK2 @ sK5 @ sK7 ) @ X27 )
= X27 ),
inference(forward_demodulation,[status(thm)],[f52,f46]) ).
thf(f46,plain,
( ( sK2 @ sK5 @ sK7 )
= ( sK2 @ sK6 @ sK7 ) ),
inference(forward_demodulation,[status(thm)],[f45,f26]) ).
thf(f45,plain,
( ( sK2 @ sK6 @ sK7 )
= ( sK2 @ sK7 @ sK5 ) ),
inference(forward_demodulation,[status(thm)],[f39,f26]) ).
thf(f39,plain,
( ( sK2 @ sK7 @ sK5 )
= ( sK2 @ sK7 @ sK6 ) ),
inference(definition_unfolding,[status(thm)],[f14,f15]) ).
thf(f15,plain,
( sK0
= ( sK2 @ sK7 @ sK6 ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f14,plain,
( ( sK2 @ sK7 @ sK5 )
= sK0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f52,plain,
! [X27: a] :
( ( sK3 @ ( sK2 @ sK6 @ sK7 ) @ X27 )
= X27 ),
inference(forward_demodulation,[status(thm)],[f38,f26]) ).
thf(f38,plain,
! [X27: a] :
( ( sK3 @ ( sK2 @ sK7 @ sK6 ) @ X27 )
= X27 ),
inference(definition_unfolding,[status(thm)],[f19,f15]) ).
thf(f19,plain,
! [X27: a] :
( ( sK3 @ sK0 @ X27 )
= X27 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f268,plain,
! [X0: a] :
( ( sK3 @ ( sK2 @ sK6 @ X0 ) @ ( sK2 @ sK5 @ sK7 ) )
= ( sK2 @ sK6 @ ( sK3 @ X0 @ sK7 ) ) ),
inference(superposition,[status(thm)],[f27,f46]) ).
thf(f27,plain,
! [X14: a,X15: a,X13: a] :
( ( sK3 @ ( sK2 @ X14 @ X13 ) @ ( sK2 @ X14 @ X15 ) )
= ( sK2 @ X14 @ ( sK3 @ X13 @ X15 ) ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f22,plain,
! [X24: a,X23: a] :
( ( sK3 @ ( sK2 @ X23 @ X24 ) @ X24 )
= X24 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f678,plain,
( ( sK3 @ sK6 @ sK5 )
= sK6 ),
inference(superposition,[status(thm)],[f62,f668]) ).
thf(f668,plain,
( ( sK2 @ sK5 @ sK6 )
= sK5 ),
inference(forward_demodulation,[status(thm)],[f667,f20]) ).
thf(f20,plain,
! [X26: a] :
( ( sK2 @ X26 @ X26 )
= X26 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f667,plain,
( ( sK2 @ sK5 @ sK6 )
= ( sK2 @ sK5 @ sK5 ) ),
inference(forward_demodulation,[status(thm)],[f649,f284]) ).
thf(f284,plain,
! [X0: a] :
( ( sK2 @ sK5 @ X0 )
= ( sK2 @ sK5 @ ( sK3 @ X0 @ sK7 ) ) ),
inference(superposition,[status(thm)],[f27,f81]) ).
thf(f649,plain,
( ( sK2 @ sK5 @ ( sK3 @ sK5 @ sK7 ) )
= ( sK2 @ sK5 @ sK6 ) ),
inference(superposition,[status(thm)],[f281,f43]) ).
thf(f281,plain,
! [X0: a] :
( ( sK2 @ sK5 @ X0 )
= ( sK2 @ sK5 @ ( sK3 @ sK7 @ X0 ) ) ),
inference(superposition,[status(thm)],[f27,f53]) ).
thf(f62,plain,
! [X0: a,X1: a] :
( ( sK3 @ X1 @ ( sK2 @ X0 @ X1 ) )
= X1 ),
inference(superposition,[status(thm)],[f18,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU997^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n010.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 12:38:18 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.20/0.45 ---- Original DTF file ---
% 0.20/0.45 thf(spec,logic,$$dhol).
% 0.20/0.45 %------------------------------------------------------------------------------
% 0.20/0.45 % File : SEU997^5 : TPTP v9.2.1. Released v4.0.0.
% 0.20/0.45 % Domain : Set Theory (Relations)
% 0.20/0.45 % Problem : TPS problem CD-LATTICE-THM
% 0.20/0.45 % Version : Especial.
% 0.20/0.45 % English : A complemented distributive lattice has unique complements.
% 0.20/0.45
% 0.20/0.45 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.45 % Source : [Bro09]
% 0.20/0.45 % Names : tps_0555 [Bro09]
% 0.20/0.45 % : CD-LATTICE-THM [TPS]
% 0.20/0.45
% 0.20/0.45 % Status : Theorem
% 0.20/0.45 % Rating : 0.22 v9.1.0, 0.25 v9.0.0, 0.30 v8.2.0, 0.23 v8.1.0, 0.18 v7.5.0, 0.29 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, 0.50 v5.4.0, 0.60 v5.1.0, 0.80 v5.0.0, 0.60 v4.1.0, 0.67 v4.0.0
% 0.20/0.45 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.20/0.45 % Number of atoms : 21 ( 21 equ; 0 cnn)
% 0.20/0.45 % Maximal formula atoms : 21 ( 21 avg)
% 0.20/0.45 % Number of connectives : 96 ( 0 ~; 0 |; 18 &; 76 @)
% 0.20/0.45 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.20/0.45 % Maximal formula depth : 23 ( 23 avg)
% 0.20/0.45 % Number of types : 1 ( 1 usr)
% 0.20/0.45 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 0.20/0.45 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.20/0.45 % Number of variables : 35 ( 0 ^; 34 !; 1 ?; 35 :)
% 0.20/0.45 % SPC : TH0_THM_EQU_NAR
% 0.20/0.45
% 0.20/0.45 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.45 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.45 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.45 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.45 % : Polymorphic definitions expanded.
% 0.20/0.45 %------------------------------------------------------------------------------
% 0.20/0.45 thf(a_type,type,
% 0.20/0.45 a: $tType ).
% 0.20/0.45
% 0.20/0.45 thf(cCD_LATTICE_THM_pme,conjecture,
% 0.20/0.45 ! [JOIN: a > a > a,MEET: a > a > a,TOP: a,BOTTOM: a] :
% 0.20/0.45 ( ( ! [Xx: a] :
% 0.20/0.45 ( ( JOIN @ Xx @ Xx )
% 0.20/0.45 = Xx )
% 0.20/0.45 & ! [Xx: a] :
% 0.20/0.45 ( ( MEET @ Xx @ Xx )
% 0.20/0.45 = Xx )
% 0.20/0.45 & ! [Xx: a,Xy: a,Xz: a] :
% 0.20/0.45 ( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
% 0.20/0.45 = ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
% 0.20/0.45 & ! [Xx: a,Xy: a,Xz: a] :
% 0.20/0.45 ( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
% 0.20/0.45 = ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
% 0.20/0.45 & ! [Xx: a,Xy: a] :
% 0.20/0.45 ( ( JOIN @ Xx @ Xy )
% 0.20/0.45 = ( JOIN @ Xy @ Xx ) )
% 0.20/0.45 & ! [Xx: a,Xy: a] :
% 0.20/0.45 ( ( MEET @ Xx @ Xy )
% 0.20/0.45 = ( MEET @ Xy @ Xx ) )
% 0.20/0.45 & ! [Xx: a,Xy: a] :
% 0.20/0.45 ( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
% 0.20/0.45 = Xy )
% 0.20/0.45 & ! [Xx: a,Xy: a] :
% 0.20/0.45 ( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
% 0.20/0.45 = Xy )
% 0.20/0.45 & ! [Xx: a,Xy: a,Xz: a] :
% 0.20/0.45 ( ( MEET @ Xx @ ( JOIN @ Xy @ Xz ) )
% 0.20/0.45 = ( JOIN @ ( MEET @ Xx @ Xy ) @ ( MEET @ Xx @ Xz ) ) )
% 0.20/0.45 & ! [Xx: a,Xy: a,Xz: a] :
% 0.20/0.45 ( ( JOIN @ Xx @ ( MEET @ Xy @ Xz ) )
% 0.20/0.45 = ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) )
% 0.20/0.45 & ! [Xx: a] :
% 0.20/0.45 ( ( MEET @ TOP @ Xx )
% 0.20/0.45 = Xx )
% 0.20/0.45 & ! [Xx: a] :
% 0.20/0.45 ( ( JOIN @ TOP @ Xx )
% 0.20/0.45 = TOP )
% 0.20/0.45 & ! [Xx: a] :
% 0.20/0.45 ( ( MEET @ BOTTOM @ Xx )
% 0.20/0.45 = BOTTOM )
% 0.20/0.45 & ! [Xx: a] :
% 0.20/0.45 ( ( JOIN @ BOTTOM @ Xx )
% 0.20/0.45 = Xx )
% 0.20/0.45 & ! [Xx: a] :
% 0.20/0.45 ? [Xy: a] :
% 0.20/0.45 ( ( ( JOIN @ Xx @ Xy )
% 0.20/0.45 = TOP )
% 0.20/0.45 & ( ( MEET @ Xx @ Xy )
% 0.20/0.45 = BOTTOM ) ) )
% 0.20/0.45 => ! [Xx: a,Xy: a,Xz: a] :
% 0.20/0.45 ( ( ( ( JOIN @ Xx @ Xy )
% 0.20/0.45 = TOP )
% 0.20/0.45 & ( ( MEET @ Xx @ Xy )
% 0.20/0.45 = BOTTOM )
% 0.20/0.45 & ( ( JOIN @ Xx @ Xz )
% 0.20/0.45 = TOP )
% 0.20/0.45 & ( ( MEET @ Xx @ Xz )
% 0.20/0.45 = BOTTOM ) )
% 0.20/0.45 => ( Xy = Xz ) ) ) ).
% 0.20/0.45
% 0.20/0.45 %------------------------------------------------------------------------------
% 0.20/0.45 ------------------------
% 1.69/1.47 ---- Embedded in THF ---
% 1.69/1.47 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.69/1.47 %%% Generated on Tue Feb 24 12:38:19 EST 2026
% 1.69/1.47 %%% using '$$dhol' embedding, version 1.3.0.
% 1.69/1.47 %%% Logic specification used:
% 1.69/1.47 %%% thf(spec, logic, $$dhol).
% 1.69/1.47
% 1.69/1.47 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.Ns8bLP5Z0X/DTF2DTF4319.p
% See solution above
% 1.69/1.47 ------------------------
% 1.69/1.48 ---- Cleaned THF ---
% 1.69/1.49 thf(a_type,type,
% 1.69/1.49 a: $tType ).
% 1.69/1.49
% 1.69/1.49 thf(cCD_LATTICE_THM_pme,conjecture,
% 1.69/1.49 ! [JOIN: a > a > a,MEET: a > a > a,TOP: a,BOTTOM: a] :
% 1.69/1.49 ( ( ! [Xx: a] :
% 1.69/1.49 ( ( JOIN @ Xx @ Xx )
% 1.69/1.49 = Xx )
% 1.69/1.49 & ! [Xx: a] :
% 1.69/1.49 ( ( MEET @ Xx @ Xx )
% 1.69/1.49 = Xx )
% 1.69/1.49 & ! [Xx: a,Xy: a,Xz: a] :
% 1.69/1.49 ( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
% 1.69/1.49 = ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
% 1.69/1.49 & ! [Xx: a,Xy: a,Xz: a] :
% 1.69/1.49 ( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
% 1.69/1.49 = ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
% 1.69/1.49 & ! [Xx: a,Xy: a] :
% 1.69/1.49 ( ( JOIN @ Xx @ Xy )
% 1.69/1.49 = ( JOIN @ Xy @ Xx ) )
% 1.69/1.49 & ! [Xx: a,Xy: a] :
% 1.69/1.49 ( ( MEET @ Xx @ Xy )
% 1.69/1.49 = ( MEET @ Xy @ Xx ) )
% 1.69/1.49 & ! [Xx: a,Xy: a] :
% 1.69/1.49 ( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
% 1.69/1.49 = Xy )
% 1.69/1.49 & ! [Xx: a,Xy: a] :
% 1.69/1.49 ( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
% 1.69/1.49 = Xy )
% 1.69/1.49 & ! [Xx: a,Xy: a,Xz: a] :
% 1.69/1.49 ( ( MEET @ Xx @ ( JOIN @ Xy @ Xz ) )
% 1.69/1.49 = ( JOIN @ ( MEET @ Xx @ Xy ) @ ( MEET @ Xx @ Xz ) ) )
% 1.69/1.49 & ! [Xx: a,Xy: a,Xz: a] :
% 1.69/1.49 ( ( JOIN @ Xx @ ( MEET @ Xy @ Xz ) )
% 1.69/1.49 = ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) )
% 1.69/1.49 & ! [Xx: a] :
% 1.69/1.49 ( ( MEET @ TOP @ Xx )
% 1.69/1.49 = Xx )
% 1.69/1.49 & ! [Xx: a] :
% 1.69/1.49 ( ( JOIN @ TOP @ Xx )
% 1.69/1.49 = TOP )
% 1.69/1.49 & ! [Xx: a] :
% 1.69/1.49 ( ( MEET @ BOTTOM @ Xx )
% 1.69/1.49 = BOTTOM )
% 1.69/1.49 & ! [Xx: a] :
% 1.69/1.49 ( ( JOIN @ BOTTOM @ Xx )
% 1.69/1.49 = Xx )
% 1.69/1.49 & ! [Xx: a] :
% 1.69/1.49 ? [Xy: a] :
% 1.69/1.49 ( ( ( JOIN @ Xx @ Xy )
% 1.69/1.49 = TOP )
% 1.69/1.49 & ( ( MEET @ Xx @ Xy )
% 1.69/1.49 = BOTTOM ) ) )
% 1.69/1.49 => ! [Xx: a,Xy: a,Xz: a] :
% 1.69/1.49 ( ( ( ( JOIN @ Xx @ Xy )
% 1.69/1.49 = TOP )
% 1.69/1.49 & ( ( MEET @ Xx @ Xy )
% 1.69/1.49 = BOTTOM )
% 1.69/1.49 & ( ( JOIN @ Xx @ Xz )
% 1.69/1.49 = TOP )
% 1.69/1.49 & ( ( MEET @ Xx @ Xz )
% 1.69/1.49 = BOTTOM ) )
% 1.69/1.49 => ( Xy = Xz ) ) ) ).
% 1.69/1.49 ------------------------
% 1.84/1.51 % (4422)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_4319 for (2999ds/18Mi)
% 1.84/1.51 % (4420)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_4319 for (2999ds/2Mi)
% 1.84/1.51 % (4417)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_4319 for (2999ds/4Mi)
% 1.84/1.51 % (4416)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_4319 for (2999ds/183Mi)
% 1.84/1.51 % (4419)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_4319 for (2999ds/2Mi)
% 1.84/1.51 % (4421)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_4319 for (2999ds/275Mi)
% 1.84/1.51 % (4419)Instruction limit reached!
% 1.84/1.51 % (4419)------------------------------
% 1.84/1.51 % (4419)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.51 % (4419)Termination reason: Unknown
% 1.84/1.51 % (4419)Termination phase: Function definition elimination
% 1.84/1.51 % (4420)Instruction limit reached!
% 1.84/1.51 % (4420)------------------------------
% 1.84/1.51 % (4420)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.51 % (4420)Termination reason: Unknown
% 1.84/1.51 % (4420)Termination phase: Property scanning
% 1.84/1.51
% 1.84/1.51 % (4420)Memory used [KB]: 1023
% 1.84/1.51 % (4420)Time elapsed: 0.003 s
% 1.84/1.51 % (4420)Instructions burned: 4 (million)
% 1.84/1.51 % (4420)------------------------------
% 1.84/1.51 % (4420)------------------------------
% 1.84/1.51
% 1.84/1.51 % (4419)Memory used [KB]: 1023
% 1.84/1.51 % (4419)Time elapsed: 0.003 s
% 1.84/1.51 % (4419)Instructions burned: 3 (million)
% 1.84/1.51 % (4419)------------------------------
% 1.84/1.51 % (4419)------------------------------
% 1.84/1.51 % (4418)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_4319 for (2999ds/27Mi)
% 1.84/1.51 % (4417)Instruction limit reached!
% 1.84/1.51 % (4417)------------------------------
% 1.84/1.51 % (4417)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.51 % (4417)Termination reason: Unknown
% 1.84/1.51 % (4417)Termination phase: Saturation
% 1.84/1.51
% 1.84/1.51 % (4417)Memory used [KB]: 5500
% 1.84/1.51 % (4417)Time elapsed: 0.004 s
% 1.84/1.51 % (4417)Instructions burned: 5 (million)
% 1.84/1.51 % (4417)------------------------------
% 1.84/1.51 % (4417)------------------------------
% 1.84/1.52 % (4422)Instruction limit reached!
% 1.84/1.52 % (4422)------------------------------
% 1.84/1.52 % (4422)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.52 % (4422)Termination reason: Unknown
% 1.84/1.52 % (4422)Termination phase: Saturation
% 1.84/1.52
% 1.84/1.52 % (4422)Memory used [KB]: 5628
% 1.84/1.52 % (4422)Time elapsed: 0.013 s
% 1.84/1.52 % (4422)Instructions burned: 19 (million)
% 1.84/1.52 % (4422)------------------------------
% 1.84/1.52 % (4422)------------------------------
% 1.84/1.52 % (4418)Instruction limit reached!
% 1.84/1.52 % (4418)------------------------------
% 1.84/1.52 % (4418)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.52 % (4418)Termination reason: Unknown
% 1.84/1.52 % (4418)Termination phase: Saturation
% 1.84/1.52
% 1.84/1.52 % (4418)Memory used [KB]: 5628
% 1.84/1.52 % (4418)Time elapsed: 0.016 s
% 1.84/1.52 % (4418)Instructions burned: 27 (million)
% 1.84/1.52 % (4418)------------------------------
% 1.84/1.52 % (4418)------------------------------
% 1.84/1.52 % (4424)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_4319 for (2999ds/37Mi)
% 1.84/1.52 % (4423)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_4319 for (2999ds/3Mi)
% 1.84/1.52 % (4425)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_4319 for (2999ds/15Mi)
% 1.84/1.52 % (4423)Instruction limit reached!
% 1.84/1.52 % (4423)------------------------------
% 1.84/1.52 % (4423)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.52 % (4423)Termination reason: Unknown
% 1.84/1.52 % (4423)Termination phase: Preprocessing 3
% 1.84/1.52
% 1.84/1.52 % (4423)Memory used [KB]: 1023
% 1.84/1.52 % (4423)Time elapsed: 0.003 s
% 1.84/1.52 % (4423)Instructions burned: 3 (million)
% 1.84/1.52 % (4423)------------------------------
% 1.84/1.52 % (4423)------------------------------
% 1.84/1.53 % (4425)Instruction limit reached!
% 1.84/1.53 % (4425)------------------------------
% 1.84/1.53 % (4425)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.53 % (4426)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_4319 for (2999ds/3Mi)
% 1.84/1.53 % (4425)Termination reason: Unknown
% 1.84/1.53 % (4425)Termination phase: Saturation
% 1.84/1.53
% 1.84/1.53 % (4425)Memory used [KB]: 5628
% 1.84/1.53 % (4425)Time elapsed: 0.010 s
% 1.84/1.53 % (4425)Instructions burned: 15 (million)
% 1.84/1.53 % (4425)------------------------------
% 1.84/1.53 % (4425)------------------------------
% 1.84/1.53 % (4426)Instruction limit reached!
% 1.84/1.53 % (4426)------------------------------
% 1.84/1.53 % (4426)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.53 % (4426)Termination reason: Unknown
% 1.84/1.53 % (4426)Termination phase: Property scanning
% 1.84/1.53
% 1.84/1.53 % (4426)Memory used [KB]: 1023
% 1.84/1.53 % (4426)Time elapsed: 0.003 s
% 1.84/1.53 % (4426)Instructions burned: 4 (million)
% 1.84/1.53 % (4426)------------------------------
% 1.84/1.53 % (4426)------------------------------
% 1.84/1.54 % (4427)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_4319 for (2999ds/1041Mi)
% 1.84/1.54 % (4428)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_4319 for (2999ds/7Mi)
% 1.84/1.54 % (4424)Instruction limit reached!
% 1.84/1.54 % (4424)------------------------------
% 1.84/1.54 % (4424)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.54 % (4424)Termination reason: Unknown
% 1.84/1.54 % (4424)Termination phase: Saturation
% 1.84/1.54
% 1.84/1.54 % (4424)Memory used [KB]: 5628
% 1.84/1.54 % (4424)Time elapsed: 0.019 s
% 1.84/1.54 % (4424)Instructions burned: 38 (million)
% 1.84/1.54 % (4424)------------------------------
% 1.84/1.54 % (4424)------------------------------
% 1.84/1.54 % (4428)Instruction limit reached!
% 1.84/1.54 % (4428)------------------------------
% 1.84/1.54 % (4428)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.54 % (4428)Termination reason: Unknown
% 1.84/1.54 % (4428)Termination phase: Saturation
% 1.84/1.54
% 1.84/1.54 % (4428)Memory used [KB]: 1023
% 1.84/1.54 % (4428)Time elapsed: 0.005 s
% 1.84/1.54 % (4428)Instructions burned: 7 (million)
% 1.84/1.54 % (4428)------------------------------
% 1.84/1.54 % (4428)------------------------------
% 1.84/1.55 % (4429)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_4319 for (2999ds/16Mi)
% 1.84/1.55 % (4430)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_4319 for (2999ds/3Mi)
% 1.84/1.55 % (4430)Instruction limit reached!
% 1.84/1.55 % (4430)------------------------------
% 1.84/1.55 % (4430)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.55 % (4430)Termination reason: Unknown
% 1.84/1.55 % (4430)Termination phase: Property scanning
% 1.84/1.55
% 1.84/1.55 % (4430)Memory used [KB]: 1023
% 1.84/1.55 % (4430)Time elapsed: 0.003 s
% 1.84/1.55 % (4430)Instructions burned: 4 (million)
% 1.84/1.55 % (4430)------------------------------
% 1.84/1.55 % (4430)------------------------------
% 1.84/1.56 % (4431)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_4319 for (2999ds/3Mi)
% 1.84/1.56 % (4429)Instruction limit reached!
% 1.84/1.56 % (4429)------------------------------
% 1.84/1.56 % (4429)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.56 % (4429)Termination reason: Unknown
% 1.84/1.56 % (4429)Termination phase: Saturation
% 1.84/1.56
% 1.84/1.56 % (4429)Memory used [KB]: 5628
% 1.84/1.56 % (4429)Time elapsed: 0.010 s
% 1.84/1.56 % (4429)Instructions burned: 16 (million)
% 1.84/1.56 % (4429)------------------------------
% 1.84/1.56 % (4429)------------------------------
% 1.84/1.56 % (4431)Instruction limit reached!
% 1.84/1.56 % (4431)------------------------------
% 1.84/1.56 % (4431)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.56 % (4431)Termination reason: Unknown
% 1.84/1.56 % (4431)Termination phase: Preprocessing 3
% 1.84/1.56
% 1.84/1.56 % (4431)Memory used [KB]: 1023
% 1.84/1.56 % (4431)Time elapsed: 0.003 s
% 1.84/1.56 % (4431)Instructions burned: 3 (million)
% 1.84/1.56 % (4431)------------------------------
% 1.84/1.56 % (4431)------------------------------
% 1.84/1.56 % (4432)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_4319 for (2999ds/7Mi)
% 1.84/1.56 % (4432)Instruction limit reached!
% 1.84/1.56 % (4432)------------------------------
% 1.84/1.56 % (4432)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.56 % (4432)Termination reason: Unknown
% 1.84/1.56 % (4432)Termination phase: Saturation
% 1.84/1.56
% 1.84/1.56 % (4432)Memory used [KB]: 5500
% 1.84/1.56 % (4432)Time elapsed: 0.005 s
% 1.84/1.56 % (4432)Instructions burned: 7 (million)
% 1.84/1.56 % (4432)------------------------------
% 1.84/1.56 % (4432)------------------------------
% 1.84/1.57 % (4433)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_4319 for (2999ds/3Mi)
% 1.84/1.57 % (4433)Instruction limit reached!
% 1.84/1.57 % (4433)------------------------------
% 1.84/1.57 % (4433)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.57 % (4433)Termination reason: Unknown
% 1.84/1.57 % (4433)Termination phase: Property scanning
% 1.84/1.57
% 1.84/1.57 % (4433)Memory used [KB]: 1023
% 1.84/1.57 % (4433)Time elapsed: 0.003 s
% 1.84/1.57 % (4433)Instructions burned: 4 (million)
% 1.84/1.57 % (4433)------------------------------
% 1.84/1.57 % (4433)------------------------------
% 1.84/1.57 % (4434)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_4319 for (2999ds/4Mi)
% 1.84/1.57 % (4435)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_4319 for (2999ds/18Mi)
% 1.84/1.58 % (4434)Instruction limit reached!
% 1.84/1.58 % (4434)------------------------------
% 1.84/1.58 % (4434)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.58 % (4434)Termination reason: Unknown
% 1.84/1.58 % (4434)Termination phase: Saturation
% 1.84/1.58
% 1.84/1.58 % (4434)Memory used [KB]: 5500
% 1.84/1.58 % (4434)Time elapsed: 0.004 s
% 1.84/1.58 % (4434)Instructions burned: 5 (million)
% 1.84/1.58 % (4434)------------------------------
% 1.84/1.58 % (4434)------------------------------
% 1.84/1.58 % (4436)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_4319 for (2999ds/710Mi)
% 1.84/1.58 % (4435)Instruction limit reached!
% 1.84/1.58 % (4435)------------------------------
% 1.84/1.58 % (4435)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.58 % (4435)Termination reason: Unknown
% 1.84/1.58 % (4435)Termination phase: Saturation
% 1.84/1.58
% 1.84/1.58 % (4435)Memory used [KB]: 5628
% 1.84/1.58 % (4435)Time elapsed: 0.012 s
% 1.84/1.58 % (4435)Instructions burned: 19 (million)
% 1.84/1.58 % (4435)------------------------------
% 1.84/1.58 % (4435)------------------------------
% 1.84/1.59 % (4437)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_4319 for (2999ds/6Mi)
% 1.84/1.59 % (4437)Instruction limit reached!
% 1.84/1.59 % (4437)------------------------------
% 1.84/1.59 % (4437)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.59 % (4437)Termination reason: Unknown
% 1.84/1.59 % (4437)Termination phase: Saturation
% 1.84/1.59
% 1.84/1.59 % (4437)Memory used [KB]: 5500
% 1.84/1.59 % (4437)Time elapsed: 0.005 s
% 1.84/1.59 % (4437)Instructions burned: 7 (million)
% 1.84/1.59 % (4437)------------------------------
% 1.84/1.59 % (4437)------------------------------
% 1.84/1.59 % (4438)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_4319 for (2999ds/902Mi)
% 1.84/1.59 % (4416)Instruction limit reached!
% 1.84/1.59 % (4416)------------------------------
% 1.84/1.59 % (4416)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.59 % (4416)Termination reason: Unknown
% 1.84/1.59 % (4416)Termination phase: Saturation
% 1.84/1.59
% 1.84/1.59 % (4416)Memory used [KB]: 6524
% 1.84/1.59 % (4416)Time elapsed: 0.091 s
% 1.84/1.59 % (4416)Instructions burned: 183 (million)
% 1.84/1.59 % (4416)------------------------------
% 1.84/1.59 % (4416)------------------------------
% 1.84/1.60 % (4439)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_4319 for (2999ds/21Mi)
% 1.84/1.60 % (4440)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_4319 for (2999ds/5Mi)
% 1.84/1.61 % (4440)Instruction limit reached!
% 1.84/1.61 % (4440)------------------------------
% 1.84/1.61 % (4440)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.61 % (4440)Termination reason: Unknown
% 1.84/1.61 % (4440)Termination phase: Saturation
% 1.84/1.61
% 1.84/1.61 % (4440)Memory used [KB]: 5500
% 1.84/1.61 % (4440)Time elapsed: 0.004 s
% 1.84/1.61 % (4440)Instructions burned: 6 (million)
% 1.84/1.61 % (4440)------------------------------
% 1.84/1.61 % (4440)------------------------------
% 1.84/1.61 % (4441)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_4319 for (2999ds/6Mi)
% 1.84/1.61 % (4439)Instruction limit reached!
% 1.84/1.61 % (4439)------------------------------
% 1.84/1.61 % (4439)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.61 % (4439)Termination reason: Unknown
% 1.84/1.61 % (4439)Termination phase: Saturation
% 1.84/1.61
% 1.84/1.61 % (4439)Memory used [KB]: 5628
% 1.84/1.61 % (4439)Time elapsed: 0.013 s
% 1.84/1.61 % (4439)Instructions burned: 21 (million)
% 1.84/1.61 % (4439)------------------------------
% 1.84/1.61 % (4439)------------------------------
% 1.84/1.61 % (4441)Instruction limit reached!
% 1.84/1.61 % (4441)------------------------------
% 1.84/1.61 % (4441)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.61 % (4441)Termination reason: Unknown
% 1.84/1.61 % (4441)Termination phase: Saturation
% 1.84/1.61
% 1.84/1.61 % (4441)Memory used [KB]: 5500
% 1.84/1.61 % (4441)Time elapsed: 0.005 s
% 1.84/1.61 % (4441)Instructions burned: 7 (million)
% 1.84/1.61 % (4441)------------------------------
% 1.84/1.61 % (4441)------------------------------
% 1.84/1.62 % (4442)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_4319 for (2998ds/377Mi)
% 1.84/1.63 % (4443)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_4319 for (2998ds/779Mi)
% 1.84/1.63 % (4444)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_4319 for (2998ds/19Mi)
% 1.84/1.64 % (4444)Instruction limit reached!
% 1.84/1.64 % (4444)------------------------------
% 1.84/1.64 % (4444)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.64 % (4444)Termination reason: Unknown
% 1.84/1.64 % (4444)Termination phase: Saturation
% 1.84/1.64
% 1.84/1.64 % (4444)Memory used [KB]: 5500
% 1.84/1.64 % (4444)Time elapsed: 0.011 s
% 1.84/1.64 % (4444)Instructions burned: 20 (million)
% 1.84/1.64 % (4444)------------------------------
% 1.84/1.64 % (4444)------------------------------
% 1.84/1.64 % (4421)Instruction limit reached!
% 1.84/1.64 % (4421)------------------------------
% 1.84/1.64 % (4421)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.64 % (4421)Termination reason: Unknown
% 1.84/1.64 % (4421)Termination phase: Saturation
% 1.84/1.64
% 1.84/1.64 % (4421)Memory used [KB]: 6140
% 1.84/1.64 % (4421)Time elapsed: 0.137 s
% 1.84/1.64 % (4421)Instructions burned: 276 (million)
% 1.84/1.64 % (4421)------------------------------
% 1.84/1.64 % (4421)------------------------------
% 1.84/1.65 % (4445)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_4319 for (2998ds/879Mi)
% 1.84/1.66 % (4446)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_4319 for (2998ds/17Mi)
% 1.84/1.67 % (4446)Instruction limit reached!
% 1.84/1.67 % (4446)------------------------------
% 1.84/1.67 % (4446)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.67 % (4446)Termination reason: Unknown
% 1.84/1.67 % (4446)Termination phase: Saturation
% 1.84/1.67
% 1.84/1.67 % (4446)Memory used [KB]: 5628
% 1.84/1.67 % (4446)Time elapsed: 0.033 s
% 1.84/1.67 % (4446)Instructions burned: 18 (million)
% 1.84/1.67 % (4446)------------------------------
% 1.84/1.67 % (4446)------------------------------
% 1.84/1.68 % (4447)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_4319 for (2998ds/3Mi)
% 1.84/1.69 % (4447)Instruction limit reached!
% 1.84/1.69 % (4447)------------------------------
% 1.84/1.69 % (4447)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.69 % (4447)Termination reason: Unknown
% 1.84/1.69 % (4447)Termination phase: Property scanning
% 1.84/1.69
% 1.84/1.69 % (4447)Memory used [KB]: 1023
% 1.84/1.69 % (4447)Time elapsed: 0.004 s
% 1.84/1.69 % (4447)Instructions burned: 4 (million)
% 1.84/1.69 % (4447)------------------------------
% 1.84/1.69 % (4447)------------------------------
% 1.84/1.70 % (4448)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_4319 for (2998ds/30Mi)
% 1.84/1.71 % (4436)First to succeed.
% 1.84/1.71 % (4436)Refutation found. Thanks to Tanya!
% 1.84/1.71 % SZS status Theorem for DTF2THF_4319
% 1.84/1.71 % SZS output start Proof for DTF2THF_4319
% 1.84/1.71 thf(type_def_5, type, a: $tType).
% 1.84/1.71 thf(func_def_0, type, a: $tType).
% 1.84/1.71 thf(func_def_4, type, sK0: a).
% 1.84/1.71 thf(func_def_5, type, sK1: a).
% 1.84/1.71 thf(func_def_6, type, sK2: a > a > a).
% 1.84/1.71 thf(func_def_7, type, sK3: a > a > a).
% 1.84/1.71 thf(func_def_8, type, sK4: a > a).
% 1.84/1.71 thf(func_def_9, type, sK5: a).
% 1.84/1.71 thf(func_def_10, type, sK6: a).
% 1.84/1.71 thf(func_def_11, type, sK7: a).
% 1.84/1.71 thf(f726,plain,(
% 1.84/1.71 $false),
% 1.84/1.71 inference(subsumption_resolution,[status(thm)],[f725,f16])).
% 1.84/1.71 thf(f16,plain,(
% 1.84/1.71 (sK5 != sK6)),
% 1.84/1.71 inference(cnf_transformation,[status(thm)],[f11])).
% 1.84/1.71 thf(f11,plain,(
% 1.84/1.71 ! [X4 : a,X5 : a,X6 : a] : ((sK2 @ X5 @ (sK2 @ X6 @ X4)) = (sK2 @ (sK2 @ X5 @ X6) @ X4)) & ! [X7 : a] : ((sK1 = (sK3 @ X7 @ (sK4 @ X7))) & (sK0 = (sK2 @ X7 @ (sK4 @ X7)))) & ! [X9 : a] : (sK0 = (sK2 @ sK0 @ X9)) & ! [X10 : a,X11 : a,X12 : a] : ((sK2 @ (sK3 @ X11 @ X12) @ (sK3 @ X11 @ X10)) = (sK3 @ X11 @ (sK2 @ X12 @ X10))) & ! [X13 : a,X14 : a,X15 : a] : ((sK3 @ (sK2 @ X14 @ X13) @ (sK2 @ X14 @ X15)) = (sK2 @ X14 @ (sK3 @ X13 @ X15))) & ! [X16 : a,X17 : a] : ((sK2 @ X17 @ X16) = (sK2 @ X16 @ X17)) & ! [X18 : a] : ((sK3 @ X18 @ X18) = X18) & ! [X19 : a,X20 : a,X21 : a] : ((sK3 @ X21 @ (sK3 @ X20 @ X19)) = (sK3 @ (sK3 @ X21 @ X20) @ X19)) & ! [X22 : a] : (sK1 = (sK3 @ sK1 @ X22)) & ! [X23 : a,X24 : a] : ((sK3 @ (sK2 @ X23 @ X24) @ X24) = X24) & ! [X25 : a] : ((sK2 @ sK1 @ X25) = X25) & ! [X26 : a] : ((sK2 @ X26 @ X26) = X26) & ! [X27 : a] : ((sK3 @ sK0 @ X27) = X27) & ! [X28 : a,X29 : a] : ((sK3 @ X28 @ X29) = (sK3 @ X29 @ X28)) & ((sK1 = (sK3 @ sK7 @ sK6)) & (sK5 != sK6) & (sK0 = (sK2 @ sK7 @ sK6)) & ((sK2 @ sK7 @ sK5) = sK0) & (sK1 = (sK3 @ sK7 @ sK5))) & ! [X33 : a,X34 : a] : ((sK2 @ (sK3 @ X34 @ X33) @ X33) = X33)),
% 1.84/1.71 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f7,f10,f9,f8])).
% 1.84/1.71 thf(f8,plain,(
% 1.84/1.71 ? [X0 : a,X1 : a,X2 : a > a > a,X3 : a > a > a] : (! [X4 : a,X5 : a,X6 : a] : ((X2 @ (X2 @ X5 @ X6) @ X4) = (X2 @ X5 @ (X2 @ X6 @ X4))) & ! [X7 : a] : ? [X8 : a] : (((X3 @ X7 @ X8) = X1) & ((X2 @ X7 @ X8) = X0)) & ! [X9 : a] : ((X2 @ X0 @ X9) = X0) & ! [X10 : a,X11 : a,X12 : a] : ((X2 @ (X3 @ X11 @ X12) @ (X3 @ X11 @ X10)) = (X3 @ X11 @ (X2 @ X12 @ X10))) & ! [X13 : a,X14 : a,X15 : a] : ((X2 @ X14 @ (X3 @ X13 @ X15)) = (X3 @ (X2 @ X14 @ X13) @ (X2 @ X14 @ X15))) & ! [X16 : a,X17 : a] : ((X2 @ X17 @ X16) = (X2 @ X16 @ X17)) & ! [X18 : a] : ((X3 @ X18 @ X18) = X18) & ! [X19 : a,X20 : a,X21 : a] : ((X3 @ X21 @ (X3 @ X20 @ X19)) = (X3 @ (X3 @ X21 @ X20) @ X19)) & ! [X22 : a] : ((X3 @ X1 @ X22) = X1) & ! [X23 : a,X24 : a] : ((X3 @ (X2 @ X23 @ X24) @ X24) = X24) & ! [X25 : a] : ((X2 @ X1 @ X25) = X25) & ! [X26 : a] : ((X2 @ X26 @ X26) = X26) & ! [X27 : a] : ((X3 @ X0 @ X27) = X27) & ! [X28 : a,X29 : a] : ((X3 @ X28 @ X29) = (X3 @ X29 @ X28)) & ? [X30 : a,X31 : a,X32 : a] : (((X3 @ X32 @ X31) = X1) & (X30 != X31) & ((X2 @ X32 @ X31) = X0) & ((X2 @ X32 @ X30) = X0) & ((X3 @ X32 @ X30) = X1)) & ! [X33 : a,X34 : a] : ((X2 @ (X3 @ X34 @ X33) @ X33) = X33)) => (! [X6 : a,X5 : a,X4 : a] : ((sK2 @ X5 @ (sK2 @ X6 @ X4)) = (sK2 @ (sK2 @ X5 @ X6) @ X4)) & ! [X7 : a] : ? [X8 : a] : ((sK1 = (sK3 @ X7 @ X8)) & (sK0 = (sK2 @ X7 @ X8))) & ! [X9 : a] : (sK0 = (sK2 @ sK0 @ X9)) & ! [X12 : a,X11 : a,X10 : a] : ((sK2 @ (sK3 @ X11 @ X12) @ (sK3 @ X11 @ X10)) = (sK3 @ X11 @ (sK2 @ X12 @ X10))) & ! [X15 : a,X14 : a,X13 : a] : ((sK3 @ (sK2 @ X14 @ X13) @ (sK2 @ X14 @ X15)) = (sK2 @ X14 @ (sK3 @ X13 @ X15))) & ! [X17 : a,X16 : a] : ((sK2 @ X17 @ X16) = (sK2 @ X16 @ X17)) & ! [X18 : a] : ((sK3 @ X18 @ X18) = X18) & ! [X21 : a,X20 : a,X19 : a] : ((sK3 @ X21 @ (sK3 @ X20 @ X19)) = (sK3 @ (sK3 @ X21 @ X20) @ X19)) & ! [X22 : a] : (sK1 = (sK3 @ sK1 @ X22)) & ! [X24 : a,X23 : a] : ((sK3 @ (sK2 @ X23 @ X24) @ X24) = X24) & ! [X25 : a] : ((sK2 @ sK1 @ X25) = X25) & ! [X26 : a] : ((sK2 @ X26 @ X26) = X26) & ! [X27 : a] : ((sK3 @ sK0 @ X27) = X27) & ! [X29 : a,X28 : a] : ((sK3 @ X28 @ X29) = (sK3 @ X29 @ X28)) & ? [X32 : a,X31 : a,X30 : a] : ((sK1 = (sK3 @ X32 @ X31)) & (X30 != X31) & ((sK2 @ X32 @ X31) = sK0) & (sK0 = (sK2 @ X32 @ X30)) & (sK1 = (sK3 @ X32 @ X30))) & ! [X34 : a,X33 : a] : ((sK2 @ (sK3 @ X34 @ X33) @ X33) = X33))),
% 1.84/1.71 introduced(definition,[],[choice_axiom])).
% 1.84/1.71 thf(f9,plain,(
% 1.84/1.71 ! [X7 : a] : (? [X8 : a] : ((sK1 = (sK3 @ X7 @ X8)) & (sK0 = (sK2 @ X7 @ X8))) => ((sK1 = (sK3 @ X7 @ (sK4 @ X7))) & (sK0 = (sK2 @ X7 @ (sK4 @ X7)))))),
% 1.84/1.71 introduced(definition,[],[choice_axiom])).
% 1.84/1.71 thf(f10,plain,(
% 1.84/1.71 ? [X32 : a,X31 : a,X30 : a] : ((sK1 = (sK3 @ X32 @ X31)) & (X30 != X31) & ((sK2 @ X32 @ X31) = sK0) & (sK0 = (sK2 @ X32 @ X30)) & (sK1 = (sK3 @ X32 @ X30))) => ((sK1 = (sK3 @ sK7 @ sK6)) & (sK5 != sK6) & (sK0 = (sK2 @ sK7 @ sK6)) & ((sK2 @ sK7 @ sK5) = sK0) & (sK1 = (sK3 @ sK7 @ sK5)))),
% 1.84/1.71 introduced(definition,[],[choice_axiom])).
% 1.84/1.71 thf(f7,plain,(
% 1.84/1.71 ? [X0 : a,X1 : a,X2 : a > a > a,X3 : a > a > a] : (! [X4 : a,X5 : a,X6 : a] : ((X2 @ (X2 @ X5 @ X6) @ X4) = (X2 @ X5 @ (X2 @ X6 @ X4))) & ! [X7 : a] : ? [X8 : a] : (((X3 @ X7 @ X8) = X1) & ((X2 @ X7 @ X8) = X0)) & ! [X9 : a] : ((X2 @ X0 @ X9) = X0) & ! [X10 : a,X11 : a,X12 : a] : ((X2 @ (X3 @ X11 @ X12) @ (X3 @ X11 @ X10)) = (X3 @ X11 @ (X2 @ X12 @ X10))) & ! [X13 : a,X14 : a,X15 : a] : ((X2 @ X14 @ (X3 @ X13 @ X15)) = (X3 @ (X2 @ X14 @ X13) @ (X2 @ X14 @ X15))) & ! [X16 : a,X17 : a] : ((X2 @ X17 @ X16) = (X2 @ X16 @ X17)) & ! [X18 : a] : ((X3 @ X18 @ X18) = X18) & ! [X19 : a,X20 : a,X21 : a] : ((X3 @ X21 @ (X3 @ X20 @ X19)) = (X3 @ (X3 @ X21 @ X20) @ X19)) & ! [X22 : a] : ((X3 @ X1 @ X22) = X1) & ! [X23 : a,X24 : a] : ((X3 @ (X2 @ X23 @ X24) @ X24) = X24) & ! [X25 : a] : ((X2 @ X1 @ X25) = X25) & ! [X26 : a] : ((X2 @ X26 @ X26) = X26) & ! [X27 : a] : ((X3 @ X0 @ X27) = X27) & ! [X28 : a,X29 : a] : ((X3 @ X28 @ X29) = (X3 @ X29 @ X28)) & ? [X30 : a,X31 : a,X32 : a] : (((X3 @ X32 @ X31) = X1) & (X30 != X31) & ((X2 @ X32 @ X31) = X0) & ((X2 @ X32 @ X30) = X0) & ((X3 @ X32 @ X30) = X1)) & ! [X33 : a,X34 : a] : ((X2 @ (X3 @ X34 @ X33) @ X33) = X33))),
% 1.84/1.71 inference(rectify,[status(thm)],[f6])).
% 1.84/1.71 thf(f6,plain,(
% 1.84/1.71 ? [X3 : a,X1 : a,X2 : a > a > a,X0 : a > a > a] : (! [X12 : a,X14 : a,X13 : a] : ((X2 @ (X2 @ X14 @ X13) @ X12) = (X2 @ X14 @ (X2 @ X13 @ X12))) & ! [X27 : a] : ? [X28 : a] : (((X0 @ X27 @ X28) = X1) & ((X2 @ X27 @ X28) = X3)) & ! [X7 : a] : ((X2 @ X3 @ X7) = X3) & ! [X30 : a,X29 : a,X31 : a] : ((X2 @ (X0 @ X29 @ X31) @ (X0 @ X29 @ X30)) = (X0 @ X29 @ (X2 @ X31 @ X30))) & ! [X16 : a,X15 : a,X17 : a] : ((X0 @ (X2 @ X15 @ X16) @ (X2 @ X15 @ X17)) = (X2 @ X15 @ (X0 @ X16 @ X17))) & ! [X19 : a,X18 : a] : ((X2 @ X18 @ X19) = (X2 @ X19 @ X18)) & ! [X4 : a] : ((X0 @ X4 @ X4) = X4) & ! [X25 : a,X24 : a,X23 : a] : ((X0 @ (X0 @ X23 @ X24) @ X25) = (X0 @ X23 @ (X0 @ X24 @ X25))) & ! [X22 : a] : ((X0 @ X1 @ X22) = X1) & ! [X11 : a,X10 : a] : ((X0 @ (X2 @ X11 @ X10) @ X10) = X10) & ! [X26 : a] : ((X2 @ X1 @ X26) = X26) & ! [X6 : a] : ((X2 @ X6 @ X6) = X6) & ! [X5 : a] : ((X0 @ X3 @ X5) = X5) & ! [X8 : a,X9 : a] : ((X0 @ X9 @ X8) = (X0 @ X8 @ X9)) & ? [X33 : a,X32 : a,X34 : a] : (((X0 @ X34 @ X32) = X1) & (X32 != X33) & ((X2 @ X34 @ X32) = X3) & ((X2 @ X34 @ X33) = X3) & ((X0 @ X34 @ X33) = X1)) & ! [X20 : a,X21 : a] : ((X2 @ (X0 @ X21 @ X20) @ X20) = X20))),
% 1.84/1.71 inference(flattening,[status(thm)],[f5])).
% 1.84/1.71 thf(f5,plain,(
% 1.84/1.71 ? [X1 : a,X3 : a,X0 : a > a > a,X2 : a > a > a] : (? [X32 : a,X34 : a,X33 : a] : ((X32 != X33) & (((X2 @ X34 @ X32) = X3) & ((X0 @ X34 @ X33) = X1) & ((X0 @ X34 @ X32) = X1) & ((X2 @ X34 @ X33) = X3))) & (! [X26 : a] : ((X2 @ X1 @ X26) = X26) & ! [X27 : a] : ? [X28 : a] : (((X0 @ X27 @ X28) = X1) & ((X2 @ X27 @ X28) = X3)) & ! [X12 : a,X14 : a,X13 : a] : ((X2 @ (X2 @ X14 @ X13) @ X12) = (X2 @ X14 @ (X2 @ X13 @ X12))) & ! [X19 : a,X18 : a] : ((X2 @ X18 @ X19) = (X2 @ X19 @ X18)) & ! [X16 : a,X15 : a,X17 : a] : ((X0 @ (X2 @ X15 @ X16) @ (X2 @ X15 @ X17)) = (X2 @ X15 @ (X0 @ X16 @ X17))) & ! [X30 : a,X29 : a,X31 : a] : ((X2 @ (X0 @ X29 @ X31) @ (X0 @ X29 @ X30)) = (X0 @ X29 @ (X2 @ X31 @ X30))) & ! [X8 : a,X9 : a] : ((X0 @ X9 @ X8) = (X0 @ X8 @ X9)) & ! [X6 : a] : ((X2 @ X6 @ X6) = X6) & ! [X22 : a] : ((X0 @ X1 @ X22) = X1) & ! [X25 : a,X24 : a,X23 : a] : ((X0 @ (X0 @ X23 @ X24) @ X25) = (X0 @ X23 @ (X0 @ X24 @ X25))) & ! [X11 : a,X10 : a] : ((X0 @ (X2 @ X11 @ X10) @ X10) = X10) & ! [X20 : a,X21 : a] : ((X2 @ (X0 @ X21 @ X20) @ X20) = X20) & ! [X7 : a] : ((X2 @ X3 @ X7) = X3) & ! [X5 : a] : ((X0 @ X3 @ X5) = X5) & ! [X4 : a] : ((X0 @ X4 @ X4) = X4)))),
% 1.84/1.71 inference(ennf_transformation,[status(thm)],[f4])).
% 1.84/1.71 thf(f4,plain,(
% 1.84/1.71 ~! [X1 : a,X3 : a,X0 : a > a > a,X2 : a > a > a] : ((! [X26 : a] : ((X2 @ X1 @ X26) = X26) & ! [X27 : a] : ? [X28 : a] : (((X0 @ X27 @ X28) = X1) & ((X2 @ X27 @ X28) = X3)) & ! [X12 : a,X14 : a,X13 : a] : ((X2 @ (X2 @ X14 @ X13) @ X12) = (X2 @ X14 @ (X2 @ X13 @ X12))) & ! [X19 : a,X18 : a] : ((X2 @ X18 @ X19) = (X2 @ X19 @ X18)) & ! [X16 : a,X15 : a,X17 : a] : ((X0 @ (X2 @ X15 @ X16) @ (X2 @ X15 @ X17)) = (X2 @ X15 @ (X0 @ X16 @ X17))) & ! [X30 : a,X29 : a,X31 : a] : ((X2 @ (X0 @ X29 @ X31) @ (X0 @ X29 @ X30)) = (X0 @ X29 @ (X2 @ X31 @ X30))) & ! [X8 : a,X9 : a] : ((X0 @ X9 @ X8) = (X0 @ X8 @ X9)) & ! [X6 : a] : ((X2 @ X6 @ X6) = X6) & ! [X22 : a] : ((X0 @ X1 @ X22) = X1) & ! [X25 : a,X24 : a,X23 : a] : ((X0 @ (X0 @ X23 @ X24) @ X25) = (X0 @ X23 @ (X0 @ X24 @ X25))) & ! [X11 : a,X10 : a] : ((X0 @ (X2 @ X11 @ X10) @ X10) = X10) & ! [X20 : a,X21 : a] : ((X2 @ (X0 @ X21 @ X20) @ X20) = X20) & ! [X7 : a] : ((X2 @ X3 @ X7) = X3) & ! [X5 : a] : ((X0 @ X3 @ X5) = X5) & ! [X4 : a] : ((X0 @ X4 @ X4) = X4)) => ! [X32 : a,X34 : a,X33 : a] : ((((X2 @ X34 @ X32) = X3) & ((X0 @ X34 @ X33) = X1) & ((X0 @ X34 @ X32) = X1) & ((X2 @ X34 @ X33) = X3)) => (X32 = X33)))),
% 1.84/1.71 inference(rectify,[status(thm)],[f2])).
% 1.84/1.71 thf(f2,negated_conjecture,(
% 1.84/1.71 ~! [X1 : a > a > a,X3 : a,X0 : a > a > a,X2 : a] : ((! [X4 : a] : ((X1 @ X4 @ X4) = X4) & ! [X4 : a] : ((X1 @ X2 @ X4) = X4) & ! [X4 : a] : ((X0 @ X4 @ X4) = X4) & ! [X4 : a] : ((X0 @ X2 @ X4) = X2) & ! [X4 : a,X5 : a] : ((X1 @ X4 @ X5) = (X1 @ X5 @ X4)) & ! [X5 : a,X4 : a] : ((X1 @ (X0 @ X4 @ X5) @ X5) = X5) & ! [X6 : a,X5 : a,X4 : a] : ((X0 @ (X0 @ X4 @ X5) @ X6) = (X0 @ X4 @ (X0 @ X5 @ X6))) & ! [X4 : a,X5 : a,X6 : a] : ((X0 @ X4 @ (X1 @ X5 @ X6)) = (X1 @ (X0 @ X4 @ X5) @ (X0 @ X4 @ X6))) & ! [X4 : a,X5 : a] : ((X0 @ X4 @ X5) = (X0 @ X5 @ X4)) & ! [X5 : a,X4 : a] : ((X0 @ (X1 @ X4 @ X5) @ X5) = X5) & ! [X4 : a] : ((X1 @ X3 @ X4) = X3) & ! [X4 : a,X5 : a,X6 : a] : ((X1 @ (X1 @ X4 @ X5) @ X6) = (X1 @ X4 @ (X1 @ X5 @ X6))) & ! [X4 : a] : ((X0 @ X3 @ X4) = X4) & ! [X4 : a] : ? [X5 : a] : (((X1 @ X4 @ X5) = X3) & ((X0 @ X4 @ X5) = X2)) & ! [X4 : a,X6 : a,X5 : a] : ((X1 @ X4 @ (X0 @ X5 @ X6)) = (X0 @ (X1 @ X4 @ X5) @ (X1 @ X4 @ X6)))) => ! [X6 : a,X5 : a,X4 : a] : ((((X0 @ X4 @ X5) = X2) & ((X0 @ X4 @ X6) = X2) & ((X1 @ X4 @ X6) = X3) & ((X1 @ X4 @ X5) = X3)) => (X5 = X6)))),
% 1.84/1.71 inference(negated_conjecture,[status(cth)],[f1])).
% 1.84/1.71 thf(f1,conjecture,(
% 1.84/1.71 ! [X1 : a > a > a,X3 : a,X0 : a > a > a,X2 : a] : ((! [X4 : a] : ((X1 @ X4 @ X4) = X4) & ! [X4 : a] : ((X1 @ X2 @ X4) = X4) & ! [X4 : a] : ((X0 @ X4 @ X4) = X4) & ! [X4 : a] : ((X0 @ X2 @ X4) = X2) & ! [X4 : a,X5 : a] : ((X1 @ X4 @ X5) = (X1 @ X5 @ X4)) & ! [X5 : a,X4 : a] : ((X1 @ (X0 @ X4 @ X5) @ X5) = X5) & ! [X6 : a,X5 : a,X4 : a] : ((X0 @ (X0 @ X4 @ X5) @ X6) = (X0 @ X4 @ (X0 @ X5 @ X6))) & ! [X4 : a,X5 : a,X6 : a] : ((X0 @ X4 @ (X1 @ X5 @ X6)) = (X1 @ (X0 @ X4 @ X5) @ (X0 @ X4 @ X6))) & ! [X4 : a,X5 : a] : ((X0 @ X4 @ X5) = (X0 @ X5 @ X4)) & ! [X5 : a,X4 : a] : ((X0 @ (X1 @ X4 @ X5) @ X5) = X5) & ! [X4 : a] : ((X1 @ X3 @ X4) = X3) & ! [X4 : a,X5 : a,X6 : a] : ((X1 @ (X1 @ X4 @ X5) @ X6) = (X1 @ X4 @ (X1 @ X5 @ X6))) & ! [X4 : a] : ((X0 @ X3 @ X4) = X4) & ! [X4 : a] : ? [X5 : a] : (((X1 @ X4 @ X5) = X3) & ((X0 @ X4 @ X5) = X2)) & ! [X4 : a,X6 : a,X5 : a] : ((X1 @ X4 @ (X0 @ X5 @ X6)) = (X0 @ (X1 @ X4 @ X5) @ (X1 @ X4 @ X6)))) => ! [X6 : a,X5 : a,X4 : a] : ((((X0 @ X4 @ X5) = X2) & ((X0 @ X4 @ X6) = X2) & ((X1 @ X4 @ X6) = X3) & ((X1 @ X4 @ X5) = X3)) => (X5 = X6)))),
% 1.84/1.71 file('/export/starexec/sandbox/tmp/tmp.Ns8bLP5Z0X/DTF2THF_4319.p',cCD_LATTICE_THM_pme)).
% 1.84/1.71 thf(f725,plain,(
% 1.84/1.71 (sK5 = sK6)),
% 1.84/1.71 inference(backward_demodulation,[status(thm)],[f678,f715])).
% 1.84/1.71 thf(f715,plain,(
% 1.84/1.71 ((sK3 @ sK6 @ sK5) = sK5)),
% 1.84/1.71 inference(superposition,[status(thm)],[f22,f692])).
% 1.84/1.71 thf(f692,plain,(
% 1.84/1.71 ((sK2 @ sK6 @ sK5) = sK6)),
% 1.84/1.71 inference(superposition,[status(thm)],[f316,f77])).
% 1.84/1.71 thf(f77,plain,(
% 1.84/1.71 ( ! [X0 : a] : (((sK2 @ X0 @ (sK3 @ sK5 @ sK7)) = X0)) )),
% 1.84/1.71 inference(superposition,[status(thm)],[f51,f26])).
% 1.84/1.71 thf(f26,plain,(
% 1.84/1.71 ( ! [X16 : a,X17 : a] : (((sK2 @ X17 @ X16) = (sK2 @ X16 @ X17))) )),
% 1.84/1.71 inference(cnf_transformation,[status(thm)],[f11])).
% 1.84/1.71 thf(f51,plain,(
% 1.84/1.71 ( ! [X25 : a] : (((sK2 @ (sK3 @ sK5 @ sK7) @ X25) = X25)) )),
% 1.84/1.71 inference(forward_demodulation,[status(thm)],[f37,f43])).
% 1.84/1.71 thf(f43,plain,(
% 1.84/1.71 ((sK3 @ sK5 @ sK7) = (sK3 @ sK7 @ sK6))),
% 1.84/1.71 inference(backward_demodulation,[status(thm)],[f40,f18])).
% 1.84/1.71 thf(f18,plain,(
% 1.84/1.71 ( ! [X28 : a,X29 : a] : (((sK3 @ X28 @ X29) = (sK3 @ X29 @ X28))) )),
% 1.84/1.71 inference(cnf_transformation,[status(thm)],[f11])).
% 1.84/1.71 thf(f40,plain,(
% 1.84/1.71 ((sK3 @ sK7 @ sK6) = (sK3 @ sK7 @ sK5))),
% 1.84/1.71 inference(definition_unfolding,[status(thm)],[f13,f17])).
% 1.84/1.71 thf(f17,plain,(
% 1.84/1.71 (sK1 = (sK3 @ sK7 @ sK6))),
% 1.84/1.71 inference(cnf_transformation,[status(thm)],[f11])).
% 1.84/1.71 thf(f13,plain,(
% 1.84/1.71 (sK1 = (sK3 @ sK7 @ sK5))),
% 1.84/1.71 inference(cnf_transformation,[status(thm)],[f11])).
% 1.84/1.71 thf(f37,plain,(
% 1.84/1.71 ( ! [X25 : a] : (((sK2 @ (sK3 @ sK7 @ sK6) @ X25) = X25)) )),
% 1.84/1.71 inference(definition_unfolding,[status(thm)],[f21,f17])).
% 1.84/1.71 thf(f21,plain,(
% 1.84/1.71 ( ! [X25 : a] : (((sK2 @ sK1 @ X25) = X25)) )),
% 1.84/1.71 inference(cnf_transformation,[status(thm)],[f11])).
% 1.84/1.71 thf(f316,plain,(
% 1.84/1.71 ( ! [X0 : a] : (((sK2 @ sK6 @ X0) = (sK2 @ sK6 @ (sK3 @ X0 @ sK7)))) )),
% 1.84/1.71 inference(forward_demodulation,[status(thm)],[f268,f81])).
% 1.84/1.71 thf(f81,plain,(
% 1.84/1.71 ( ! [X0 : a] : (((sK3 @ X0 @ (sK2 @ sK5 @ sK7)) = X0)) )),
% 1.84/1.71 inference(superposition,[status(thm)],[f53,f18])).
% 1.84/1.71 thf(f53,plain,(
% 1.84/1.71 ( ! [X27 : a] : (((sK3 @ (sK2 @ sK5 @ sK7) @ X27) = X27)) )),
% 1.84/1.71 inference(forward_demodulation,[status(thm)],[f52,f46])).
% 1.84/1.71 thf(f46,plain,(
% 1.84/1.71 ((sK2 @ sK5 @ sK7) = (sK2 @ sK6 @ sK7))),
% 1.84/1.71 inference(forward_demodulation,[status(thm)],[f45,f26])).
% 1.84/1.71 thf(f45,plain,(
% 1.84/1.71 ((sK2 @ sK6 @ sK7) = (sK2 @ sK7 @ sK5))),
% 1.84/1.71 inference(forward_demodulation,[status(thm)],[f39,f26])).
% 1.84/1.71 thf(f39,plain,(
% 1.84/1.71 ((sK2 @ sK7 @ sK5) = (sK2 @ sK7 @ sK6))),
% 1.84/1.71 inference(definition_unfolding,[status(thm)],[f14,f15])).
% 1.84/1.71 thf(f15,plain,(
% 1.84/1.71 (sK0 = (sK2 @ sK7 @ sK6))),
% 1.84/1.71 inference(cnf_transformation,[status(thm)],[f11])).
% 1.84/1.71 thf(f14,plain,(
% 1.84/1.71 ((sK2 @ sK7 @ sK5) = sK0)),
% 1.84/1.71 inference(cnf_transformation,[status(thm)],[f11])).
% 1.84/1.71 thf(f52,plain,(
% 1.84/1.71 ( ! [X27 : a] : (((sK3 @ (sK2 @ sK6 @ sK7) @ X27) = X27)) )),
% 1.84/1.71 inference(forward_demodulation,[status(thm)],[f38,f26])).
% 1.84/1.71 thf(f38,plain,(
% 1.84/1.71 ( ! [X27 : a] : (((sK3 @ (sK2 @ sK7 @ sK6) @ X27) = X27)) )),
% 1.84/1.71 inference(definition_unfolding,[status(thm)],[f19,f15])).
% 1.84/1.71 thf(f19,plain,(
% 1.84/1.71 ( ! [X27 : a] : (((sK3 @ sK0 @ X27) = X27)) )),
% 1.84/1.71 inference(cnf_transformation,[status(thm)],[f11])).
% 1.84/1.71 thf(f268,plain,(
% 1.84/1.71 ( ! [X0 : a] : (((sK3 @ (sK2 @ sK6 @ X0) @ (sK2 @ sK5 @ sK7)) = (sK2 @ sK6 @ (sK3 @ X0 @ sK7)))) )),
% 1.84/1.71 inference(superposition,[status(thm)],[f27,f46])).
% 1.84/1.71 thf(f27,plain,(
% 1.84/1.71 ( ! [X14 : a,X15 : a,X13 : a] : (((sK3 @ (sK2 @ X14 @ X13) @ (sK2 @ X14 @ X15)) = (sK2 @ X14 @ (sK3 @ X13 @ X15)))) )),
% 1.84/1.71 inference(cnf_transformation,[status(thm)],[f11])).
% 1.84/1.71 thf(f22,plain,(
% 1.84/1.71 ( ! [X24 : a,X23 : a] : (((sK3 @ (sK2 @ X23 @ X24) @ X24) = X24)) )),
% 1.84/1.71 inference(cnf_transformation,[status(thm)],[f11])).
% 1.84/1.71 thf(f678,plain,(
% 1.84/1.71 ((sK3 @ sK6 @ sK5) = sK6)),
% 1.84/1.71 inference(superposition,[status(thm)],[f62,f668])).
% 1.84/1.71 thf(f668,plain,(
% 1.84/1.71 ((sK2 @ sK5 @ sK6) = sK5)),
% 1.84/1.71 inference(forward_demodulation,[status(thm)],[f667,f20])).
% 1.84/1.71 thf(f20,plain,(
% 1.84/1.71 ( ! [X26 : a] : (((sK2 @ X26 @ X26) = X26)) )),
% 1.84/1.71 inference(cnf_transformation,[status(thm)],[f11])).
% 1.84/1.71 thf(f667,plain,(
% 1.84/1.71 ((sK2 @ sK5 @ sK6) = (sK2 @ sK5 @ sK5))),
% 1.84/1.71 inference(forward_demodulation,[status(thm)],[f649,f284])).
% 1.84/1.71 thf(f284,plain,(
% 1.84/1.71 ( ! [X0 : a] : (((sK2 @ sK5 @ X0) = (sK2 @ sK5 @ (sK3 @ X0 @ sK7)))) )),
% 1.84/1.71 inference(superposition,[status(thm)],[f27,f81])).
% 1.84/1.71 thf(f649,plain,(
% 1.84/1.71 ((sK2 @ sK5 @ (sK3 @ sK5 @ sK7)) = (sK2 @ sK5 @ sK6))),
% 1.84/1.71 inference(superposition,[status(thm)],[f281,f43])).
% 1.84/1.71 thf(f281,plain,(
% 1.84/1.71 ( ! [X0 : a] : (((sK2 @ sK5 @ X0) = (sK2 @ sK5 @ (sK3 @ sK7 @ X0)))) )),
% 1.84/1.71 inference(superposition,[status(thm)],[f27,f53])).
% 1.84/1.71 thf(f62,plain,(
% 1.84/1.71 ( ! [X0 : a,X1 : a] : (((sK3 @ X1 @ (sK2 @ X0 @ X1)) = X1)) )),
% 1.84/1.71 inference(superposition,[status(thm)],[f18,f22])).
% 1.84/1.71 % SZS output end Proof for DTF2THF_4319
% 1.84/1.71 % (4436)------------------------------
% 1.84/1.71 % (4436)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.71 % (4436)Termination reason: Refutation
% 1.84/1.71
% 1.84/1.71 % (4436)Memory used [KB]: 6396
% 1.84/1.71 % (4436)Time elapsed: 0.130 s
% 1.84/1.71 % (4436)Instructions burned: 243 (million)
% 1.84/1.71 % (4436)------------------------------
% 1.84/1.71 % (4436)------------------------------
% 1.84/1.71 % (4415)Success in time 0.203 s
%------------------------------------------------------------------------------