%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU998^5 : 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 : 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 1.76s 1.66s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 35 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 437 ( 436 equ; 0 cnn)
% Maximal formula atoms : 78 ( 12 avg)
% Number of connectives : 1482 ( 118 ~; 0 |; 394 &; 962 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 11 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 : 247 ( 0 ^; 194 !; 53 ?; 247 :)
% 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(f1405,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f1404,f134]) ).
thf(f134,plain,
( sK5
!= ( sK0 @ sK3 @ sK5 ) ),
inference(superposition,[status(thm)],[f61,f86]) ).
thf(f86,plain,
( ( sK0 @ sK5 @ sK6 )
= ( sK0 @ sK3 @ sK5 ) ),
inference(backward_demodulation,[status(thm)],[f72,f16]) ).
thf(f16,plain,
! [X14: a,X13: a] :
( ( sK0 @ X13 @ X14 )
= ( sK0 @ X14 @ X13 ) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f10,plain,
( ( ( sK1 @ sK2 @ sK5 )
= sK2 )
& ( sK4
= ( sK0 @ sK5 @ sK6 ) )
& ( ( sK1 @ sK2 @ sK4 )
= sK2 )
& ( sK3 != sK5 )
& ( sK6 != sK2 )
& ( sK6 != sK5 )
& ( sK4
= ( sK0 @ sK3 @ sK4 ) )
& ( sK4 != sK2 )
& ( sK4
= ( sK0 @ sK5 @ sK4 ) )
& ( ( sK0 @ sK2 @ sK6 )
= sK6 )
& ( sK4
= ( sK0 @ sK2 @ sK4 ) )
& ( sK5 != sK2 )
& ( sK3 != sK6 )
& ( sK4
= ( sK0 @ sK6 @ sK3 ) )
& ( ( sK1 @ sK2 @ sK3 )
= sK2 )
& ( sK4 != sK5 )
& ( sK5
= ( sK1 @ sK5 @ sK4 ) )
& ( sK3 != sK2 )
& ( ( sK1 @ sK3 @ sK4 )
= sK3 )
& ( ( sK0 @ sK2 @ sK5 )
= sK5 )
& ( sK3
= ( sK0 @ sK2 @ sK3 ) )
& ( ( sK1 @ sK5 @ sK3 )
= sK2 )
& ( sK4
= ( sK0 @ sK6 @ sK4 ) )
& ( sK4 != sK6 )
& ( sK2
= ( sK1 @ sK2 @ sK6 ) )
& ( sK4 != sK3 )
& ( sK2
= ( sK1 @ sK6 @ sK3 ) )
& ( ( sK0 @ sK5 @ sK3 )
= sK4 )
& ( ( sK1 @ sK5 @ sK6 )
= sK2 )
& ( sK6
= ( sK1 @ sK6 @ sK4 ) )
& ! [X7: a,X8: a,X9: a] :
( ( sK0 @ ( sK0 @ X8 @ X7 ) @ X9 )
= ( sK0 @ X8 @ ( sK0 @ X7 @ X9 ) ) )
& ! [X10: a,X11: a] :
( ( sK1 @ X10 @ X11 )
= ( sK1 @ X11 @ X10 ) )
& ! [X12: a] :
( ( sK1 @ X12 @ X12 )
= X12 )
& ! [X13: a,X14: a] :
( ( sK0 @ X13 @ X14 )
= ( sK0 @ X14 @ X13 ) )
& ! [X15: a,X16: a,X17: a] :
( ( sK1 @ ( sK1 @ X15 @ X17 ) @ X16 )
= ( sK1 @ X15 @ ( sK1 @ X17 @ X16 ) ) )
& ! [X18: a,X19: a] :
( ( sK0 @ ( sK1 @ X18 @ X19 ) @ X19 )
= X19 )
& ! [X20: a,X21: a,X22: a] :
( ( sK0 @ X22 @ ( sK1 @ X21 @ X20 ) )
= ( sK1 @ ( sK0 @ X22 @ X21 ) @ ( sK0 @ X22 @ X20 ) ) )
& ! [X23: a,X24: a] :
( ( sK1 @ ( sK0 @ X24 @ X23 ) @ X23 )
= X23 )
& ! [X25: a] :
( ( sK0 @ X25 @ X25 )
= X25 ) ),
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,X5: a,X6: a] :
( ( ( X1 @ X2 @ X5 )
= X2 )
& ( ( X0 @ X5 @ X6 )
= X4 )
& ( ( X1 @ X2 @ X4 )
= X2 )
& ( X3 != X5 )
& ( X2 != X6 )
& ( X5 != X6 )
& ( ( X0 @ X3 @ X4 )
= X4 )
& ( X2 != X4 )
& ( ( X0 @ X5 @ X4 )
= X4 )
& ( ( X0 @ X2 @ X6 )
= X6 )
& ( ( X0 @ X2 @ X4 )
= X4 )
& ( X2 != X5 )
& ( X3 != X6 )
& ( ( X0 @ X6 @ X3 )
= X4 )
& ( ( X1 @ X2 @ X3 )
= X2 )
& ( X4 != X5 )
& ( ( X1 @ X5 @ X4 )
= X5 )
& ( X2 != X3 )
& ( ( X1 @ X3 @ X4 )
= X3 )
& ( ( X0 @ X2 @ X5 )
= X5 )
& ( ( X0 @ X2 @ X3 )
= X3 )
& ( ( X1 @ X5 @ X3 )
= X2 )
& ( ( X0 @ X6 @ X4 )
= X4 )
& ( X4 != X6 )
& ( ( X1 @ X2 @ X6 )
= X2 )
& ( X3 != X4 )
& ( ( X1 @ X6 @ X3 )
= X2 )
& ( ( X0 @ X5 @ X3 )
= X4 )
& ( ( X1 @ X5 @ X6 )
= X2 )
& ( ( X1 @ X6 @ X4 )
= X6 ) )
& ! [X7: a,X8: a,X9: a] :
( ( X0 @ X8 @ ( X0 @ X7 @ X9 ) )
= ( X0 @ ( X0 @ X8 @ X7 ) @ X9 ) )
& ! [X10: a,X11: a] :
( ( X1 @ X10 @ X11 )
= ( X1 @ X11 @ X10 ) )
& ! [X12: a] :
( ( X1 @ X12 @ X12 )
= X12 )
& ! [X13: a,X14: a] :
( ( X0 @ X13 @ X14 )
= ( X0 @ X14 @ X13 ) )
& ! [X15: a,X16: a,X17: a] :
( ( X1 @ X15 @ ( X1 @ X17 @ X16 ) )
= ( X1 @ ( X1 @ X15 @ X17 ) @ X16 ) )
& ! [X18: a,X19: a] :
( ( X0 @ ( X1 @ X18 @ X19 ) @ X19 )
= X19 )
& ! [X20: a,X21: a,X22: a] :
( ( X0 @ X22 @ ( X1 @ X21 @ X20 ) )
= ( X1 @ ( X0 @ X22 @ X21 ) @ ( X0 @ X22 @ X20 ) ) )
& ! [X23: a,X24: a] :
( ( X1 @ ( X0 @ X24 @ X23 ) @ X23 )
= X23 )
& ! [X25: a] :
( ( X0 @ X25 @ X25 )
= X25 ) )
=> ( ? [X6: a,X5: a,X4: a,X3: a,X2: a] :
( ( ( sK1 @ X2 @ X5 )
= X2 )
& ( ( sK0 @ X5 @ X6 )
= X4 )
& ( ( sK1 @ X2 @ X4 )
= X2 )
& ( X3 != X5 )
& ( X2 != X6 )
& ( X5 != X6 )
& ( ( sK0 @ X3 @ X4 )
= X4 )
& ( X2 != X4 )
& ( ( sK0 @ X5 @ X4 )
= X4 )
& ( ( sK0 @ X2 @ X6 )
= X6 )
& ( ( sK0 @ X2 @ X4 )
= X4 )
& ( X2 != X5 )
& ( X3 != X6 )
& ( ( sK0 @ X6 @ X3 )
= X4 )
& ( ( sK1 @ X2 @ X3 )
= X2 )
& ( X4 != X5 )
& ( ( sK1 @ X5 @ X4 )
= X5 )
& ( X2 != X3 )
& ( ( sK1 @ X3 @ X4 )
= X3 )
& ( ( sK0 @ X2 @ X5 )
= X5 )
& ( ( sK0 @ X2 @ X3 )
= X3 )
& ( ( sK1 @ X5 @ X3 )
= X2 )
& ( ( sK0 @ X6 @ X4 )
= X4 )
& ( X4 != X6 )
& ( ( sK1 @ X2 @ X6 )
= X2 )
& ( X3 != X4 )
& ( ( sK1 @ X6 @ X3 )
= X2 )
& ( ( sK0 @ X5 @ X3 )
= X4 )
& ( ( sK1 @ X5 @ X6 )
= X2 )
& ( ( sK1 @ X6 @ X4 )
= X6 ) )
& ! [X9: a,X8: a,X7: a] :
( ( sK0 @ ( sK0 @ X8 @ X7 ) @ X9 )
= ( sK0 @ X8 @ ( sK0 @ X7 @ X9 ) ) )
& ! [X11: a,X10: a] :
( ( sK1 @ X10 @ X11 )
= ( sK1 @ X11 @ X10 ) )
& ! [X12: a] :
( ( sK1 @ X12 @ X12 )
= X12 )
& ! [X14: a,X13: a] :
( ( sK0 @ X13 @ X14 )
= ( sK0 @ X14 @ X13 ) )
& ! [X17: a,X16: a,X15: a] :
( ( sK1 @ ( sK1 @ X15 @ X17 ) @ X16 )
= ( sK1 @ X15 @ ( sK1 @ X17 @ X16 ) ) )
& ! [X19: a,X18: a] :
( ( sK0 @ ( sK1 @ X18 @ X19 ) @ X19 )
= X19 )
& ! [X22: a,X21: a,X20: a] :
( ( sK0 @ X22 @ ( sK1 @ X21 @ X20 ) )
= ( sK1 @ ( sK0 @ X22 @ X21 ) @ ( sK0 @ X22 @ X20 ) ) )
& ! [X24: a,X23: a] :
( ( sK1 @ ( sK0 @ X24 @ X23 ) @ X23 )
= X23 )
& ! [X25: a] :
( ( sK0 @ X25 @ X25 )
= X25 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f9,plain,
( ? [X6: a,X5: a,X4: a,X3: a,X2: a] :
( ( ( sK1 @ X2 @ X5 )
= X2 )
& ( ( sK0 @ X5 @ X6 )
= X4 )
& ( ( sK1 @ X2 @ X4 )
= X2 )
& ( X3 != X5 )
& ( X2 != X6 )
& ( X5 != X6 )
& ( ( sK0 @ X3 @ X4 )
= X4 )
& ( X2 != X4 )
& ( ( sK0 @ X5 @ X4 )
= X4 )
& ( ( sK0 @ X2 @ X6 )
= X6 )
& ( ( sK0 @ X2 @ X4 )
= X4 )
& ( X2 != X5 )
& ( X3 != X6 )
& ( ( sK0 @ X6 @ X3 )
= X4 )
& ( ( sK1 @ X2 @ X3 )
= X2 )
& ( X4 != X5 )
& ( ( sK1 @ X5 @ X4 )
= X5 )
& ( X2 != X3 )
& ( ( sK1 @ X3 @ X4 )
= X3 )
& ( ( sK0 @ X2 @ X5 )
= X5 )
& ( ( sK0 @ X2 @ X3 )
= X3 )
& ( ( sK1 @ X5 @ X3 )
= X2 )
& ( ( sK0 @ X6 @ X4 )
= X4 )
& ( X4 != X6 )
& ( ( sK1 @ X2 @ X6 )
= X2 )
& ( X3 != X4 )
& ( ( sK1 @ X6 @ X3 )
= X2 )
& ( ( sK0 @ X5 @ X3 )
= X4 )
& ( ( sK1 @ X5 @ X6 )
= X2 )
& ( ( sK1 @ X6 @ X4 )
= X6 ) )
=> ( ( ( sK1 @ sK2 @ sK5 )
= sK2 )
& ( sK4
= ( sK0 @ sK5 @ sK6 ) )
& ( ( sK1 @ sK2 @ sK4 )
= sK2 )
& ( sK3 != sK5 )
& ( sK6 != sK2 )
& ( sK6 != sK5 )
& ( sK4
= ( sK0 @ sK3 @ sK4 ) )
& ( sK4 != sK2 )
& ( sK4
= ( sK0 @ sK5 @ sK4 ) )
& ( ( sK0 @ sK2 @ sK6 )
= sK6 )
& ( sK4
= ( sK0 @ sK2 @ sK4 ) )
& ( sK5 != sK2 )
& ( sK3 != sK6 )
& ( sK4
= ( sK0 @ sK6 @ sK3 ) )
& ( ( sK1 @ sK2 @ sK3 )
= sK2 )
& ( sK4 != sK5 )
& ( sK5
= ( sK1 @ sK5 @ sK4 ) )
& ( sK3 != sK2 )
& ( ( sK1 @ sK3 @ sK4 )
= sK3 )
& ( ( sK0 @ sK2 @ sK5 )
= sK5 )
& ( sK3
= ( sK0 @ sK2 @ sK3 ) )
& ( ( sK1 @ sK5 @ sK3 )
= sK2 )
& ( sK4
= ( sK0 @ sK6 @ sK4 ) )
& ( sK4 != sK6 )
& ( sK2
= ( sK1 @ sK2 @ sK6 ) )
& ( sK4 != sK3 )
& ( sK2
= ( sK1 @ sK6 @ sK3 ) )
& ( ( sK0 @ sK5 @ sK3 )
= sK4 )
& ( ( sK1 @ sK5 @ sK6 )
= sK2 )
& ( sK6
= ( sK1 @ sK6 @ sK4 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f7,plain,
? [X0: a > a > a,X1: a > a > a] :
( ? [X2: a,X3: a,X4: a,X5: a,X6: a] :
( ( ( X1 @ X2 @ X5 )
= X2 )
& ( ( X0 @ X5 @ X6 )
= X4 )
& ( ( X1 @ X2 @ X4 )
= X2 )
& ( X3 != X5 )
& ( X2 != X6 )
& ( X5 != X6 )
& ( ( X0 @ X3 @ X4 )
= X4 )
& ( X2 != X4 )
& ( ( X0 @ X5 @ X4 )
= X4 )
& ( ( X0 @ X2 @ X6 )
= X6 )
& ( ( X0 @ X2 @ X4 )
= X4 )
& ( X2 != X5 )
& ( X3 != X6 )
& ( ( X0 @ X6 @ X3 )
= X4 )
& ( ( X1 @ X2 @ X3 )
= X2 )
& ( X4 != X5 )
& ( ( X1 @ X5 @ X4 )
= X5 )
& ( X2 != X3 )
& ( ( X1 @ X3 @ X4 )
= X3 )
& ( ( X0 @ X2 @ X5 )
= X5 )
& ( ( X0 @ X2 @ X3 )
= X3 )
& ( ( X1 @ X5 @ X3 )
= X2 )
& ( ( X0 @ X6 @ X4 )
= X4 )
& ( X4 != X6 )
& ( ( X1 @ X2 @ X6 )
= X2 )
& ( X3 != X4 )
& ( ( X1 @ X6 @ X3 )
= X2 )
& ( ( X0 @ X5 @ X3 )
= X4 )
& ( ( X1 @ X5 @ X6 )
= X2 )
& ( ( X1 @ X6 @ X4 )
= X6 ) )
& ! [X7: a,X8: a,X9: a] :
( ( X0 @ X8 @ ( X0 @ X7 @ X9 ) )
= ( X0 @ ( X0 @ X8 @ X7 ) @ X9 ) )
& ! [X10: a,X11: a] :
( ( X1 @ X10 @ X11 )
= ( X1 @ X11 @ X10 ) )
& ! [X12: a] :
( ( X1 @ X12 @ X12 )
= X12 )
& ! [X13: a,X14: a] :
( ( X0 @ X13 @ X14 )
= ( X0 @ X14 @ X13 ) )
& ! [X15: a,X16: a,X17: a] :
( ( X1 @ X15 @ ( X1 @ X17 @ X16 ) )
= ( X1 @ ( X1 @ X15 @ X17 ) @ X16 ) )
& ! [X18: a,X19: a] :
( ( X0 @ ( X1 @ X18 @ X19 ) @ X19 )
= X19 )
& ! [X20: a,X21: a,X22: a] :
( ( X0 @ X22 @ ( X1 @ X21 @ X20 ) )
= ( X1 @ ( X0 @ X22 @ X21 ) @ ( X0 @ X22 @ X20 ) ) )
& ! [X23: a,X24: a] :
( ( X1 @ ( X0 @ X24 @ X23 ) @ X23 )
= X23 )
& ! [X25: a] :
( ( X0 @ X25 @ X25 )
= X25 ) ),
inference(rectify,[status(thm)],[f6]) ).
thf(f6,plain,
? [X1: a > a > a,X0: a > a > a] :
( ? [X22: a,X21: a,X20: a,X18: a,X19: a] :
( ( ( X0 @ X22 @ X18 )
= X22 )
& ( ( X1 @ X18 @ X19 )
= X20 )
& ( ( X0 @ X22 @ X20 )
= X22 )
& ( X18 != X21 )
& ( X19 != X22 )
& ( X18 != X19 )
& ( ( X1 @ X21 @ X20 )
= X20 )
& ( X20 != X22 )
& ( ( X1 @ X18 @ X20 )
= X20 )
& ( ( X1 @ X22 @ X19 )
= X19 )
& ( ( X1 @ X22 @ X20 )
= X20 )
& ( X18 != X22 )
& ( X19 != X21 )
& ( ( X1 @ X19 @ X21 )
= X20 )
& ( ( X0 @ X22 @ X21 )
= X22 )
& ( X18 != X20 )
& ( ( X0 @ X18 @ X20 )
= X18 )
& ( X21 != X22 )
& ( ( X0 @ X21 @ X20 )
= X21 )
& ( ( X1 @ X22 @ X18 )
= X18 )
& ( ( X1 @ X22 @ X21 )
= X21 )
& ( ( X0 @ X18 @ X21 )
= X22 )
& ( ( X1 @ X19 @ X20 )
= X20 )
& ( X19 != X20 )
& ( ( X0 @ X22 @ X19 )
= X22 )
& ( X20 != X21 )
& ( ( X0 @ X19 @ X21 )
= X22 )
& ( ( X1 @ X18 @ X21 )
= X20 )
& ( ( X0 @ X18 @ X19 )
= X22 )
& ( ( X0 @ X19 @ X20 )
= X19 ) )
& ! [X7: a,X9: a,X8: a] :
( ( X1 @ X9 @ ( X1 @ X7 @ X8 ) )
= ( X1 @ ( X1 @ X9 @ X7 ) @ X8 ) )
& ! [X3: a,X2: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X4: a] :
( ( X0 @ X4 @ X4 )
= X4 )
& ! [X6: a,X5: a] :
( ( X1 @ X5 @ X6 )
= ( X1 @ X6 @ X5 ) )
& ! [X12: a,X11: a,X10: a] :
( ( X0 @ ( X0 @ X12 @ X10 ) @ X11 )
= ( X0 @ X12 @ ( X0 @ X10 @ X11 ) ) )
& ! [X13: a,X14: a] :
( ( X1 @ ( X0 @ X13 @ X14 ) @ X14 )
= X14 )
& ! [X24: a,X23: a,X25: a] :
( ( X0 @ ( X1 @ X25 @ X23 ) @ ( X1 @ X25 @ X24 ) )
= ( X1 @ X25 @ ( X0 @ X23 @ X24 ) ) )
& ! [X16: a,X15: a] :
( ( X0 @ ( X1 @ X15 @ X16 ) @ X16 )
= X16 )
& ! [X17: a] :
( ( X1 @ X17 @ X17 )
= X17 ) ),
inference(flattening,[status(thm)],[f5]) ).
thf(f5,plain,
? [X1: a > a > a,X0: a > a > a] :
( ! [X24: a,X23: a,X25: a] :
( ( X0 @ ( X1 @ X25 @ X23 ) @ ( X1 @ X25 @ X24 ) )
= ( X1 @ X25 @ ( X0 @ X23 @ X24 ) ) )
& ? [X22: a,X21: a,X20: a,X18: a,X19: a] :
( ( ( X0 @ X22 @ X18 )
= X22 )
& ( ( X1 @ X18 @ X19 )
= X20 )
& ( ( X0 @ X22 @ X20 )
= X22 )
& ( X18 != X21 )
& ( X19 != X22 )
& ( X18 != X19 )
& ( ( X1 @ X21 @ X20 )
= X20 )
& ( X20 != X22 )
& ( ( X1 @ X18 @ X20 )
= X20 )
& ( ( X1 @ X22 @ X19 )
= X19 )
& ( ( X1 @ X22 @ X20 )
= X20 )
& ( X18 != X22 )
& ( X19 != X21 )
& ( ( X1 @ X19 @ X21 )
= X20 )
& ( ( X0 @ X22 @ X21 )
= X22 )
& ( X18 != X20 )
& ( ( X0 @ X18 @ X20 )
= X18 )
& ( X21 != X22 )
& ( ( X0 @ X21 @ X20 )
= X21 )
& ( ( X1 @ X22 @ X18 )
= X18 )
& ( ( X1 @ X22 @ X21 )
= X21 )
& ( ( X0 @ X18 @ X21 )
= X22 )
& ( ( X1 @ X19 @ X20 )
= X20 )
& ( X19 != X20 )
& ( ( X0 @ X22 @ X19 )
= X22 )
& ( X20 != X21 )
& ( ( X0 @ X19 @ X21 )
= X22 )
& ( ( X1 @ X18 @ X21 )
= X20 )
& ( ( X0 @ X18 @ X19 )
= X22 )
& ( ( X0 @ X19 @ X20 )
= X19 ) )
& ! [X6: a,X5: a] :
( ( X1 @ X5 @ X6 )
= ( X1 @ X6 @ X5 ) )
& ! [X7: a,X9: a,X8: a] :
( ( X1 @ X9 @ ( X1 @ X7 @ X8 ) )
= ( X1 @ ( X1 @ X9 @ X7 ) @ X8 ) )
& ! [X12: a,X11: a,X10: a] :
( ( X0 @ ( X0 @ X12 @ X10 ) @ X11 )
= ( X0 @ X12 @ ( X0 @ X10 @ X11 ) ) )
& ! [X3: a,X2: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X4: a] :
( ( X0 @ X4 @ X4 )
= X4 )
& ! [X16: a,X15: a] :
( ( X0 @ ( X1 @ X15 @ X16 ) @ X16 )
= X16 )
& ! [X17: a] :
( ( X1 @ X17 @ X17 )
= X17 )
& ! [X13: a,X14: a] :
( ( X1 @ ( X0 @ X13 @ X14 ) @ X14 )
= X14 ) ),
inference(ennf_transformation,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X1: a > a > a,X0: a > a > a] :
( ( ! [X6: a,X5: a] :
( ( X1 @ X5 @ X6 )
= ( X1 @ X6 @ X5 ) )
& ! [X7: a,X9: a,X8: a] :
( ( X1 @ X9 @ ( X1 @ X7 @ X8 ) )
= ( X1 @ ( X1 @ X9 @ X7 ) @ X8 ) )
& ! [X12: a,X11: a,X10: a] :
( ( X0 @ ( X0 @ X12 @ X10 ) @ X11 )
= ( X0 @ X12 @ ( X0 @ X10 @ X11 ) ) )
& ! [X3: a,X2: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X4: a] :
( ( X0 @ X4 @ X4 )
= X4 )
& ! [X16: a,X15: a] :
( ( X0 @ ( X1 @ X15 @ X16 ) @ X16 )
= X16 )
& ! [X17: a] :
( ( X1 @ X17 @ X17 )
= X17 )
& ! [X13: a,X14: a] :
( ( X1 @ ( X0 @ X13 @ X14 ) @ X14 )
= X14 ) )
=> ( ? [X22: a,X21: a,X20: a,X18: a,X19: a] :
( ( ( X0 @ X22 @ X18 )
= X22 )
& ( ( X1 @ X18 @ X19 )
= X20 )
& ( ( X0 @ X22 @ X20 )
= X22 )
& ( X18 != X21 )
& ( X19 != X22 )
& ( X18 != X19 )
& ( ( X1 @ X21 @ X20 )
= X20 )
& ( X20 != X22 )
& ( ( X1 @ X18 @ X20 )
= X20 )
& ( ( X1 @ X22 @ X19 )
= X19 )
& ( ( X1 @ X22 @ X20 )
= X20 )
& ( X18 != X22 )
& ( X19 != X21 )
& ( ( X1 @ X19 @ X21 )
= X20 )
& ( ( X0 @ X22 @ X21 )
= X22 )
& ( X18 != X20 )
& ( ( X0 @ X18 @ X20 )
= X18 )
& ( X21 != X22 )
& ( ( X0 @ X21 @ X20 )
= X21 )
& ( ( X1 @ X22 @ X18 )
= X18 )
& ( ( X1 @ X22 @ X21 )
= X21 )
& ( ( X0 @ X18 @ X21 )
= X22 )
& ( ( X1 @ X19 @ X20 )
= X20 )
& ( X19 != X20 )
& ( ( X0 @ X22 @ X19 )
= X22 )
& ( X20 != X21 )
& ( ( X0 @ X19 @ X21 )
= X22 )
& ( ( X1 @ X18 @ X21 )
= X20 )
& ( ( X0 @ X18 @ X19 )
= X22 )
& ( ( X0 @ X19 @ X20 )
= X19 ) )
=> ~ ! [X24: a,X23: a,X25: a] :
( ( X0 @ ( X1 @ X25 @ X23 ) @ ( X1 @ X25 @ X24 ) )
= ( X1 @ X25 @ ( X0 @ X23 @ X24 ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > a,X1: a > a > a] :
( ( ! [X3: a,X2: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ! [X2: a,X3: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X3: a,X4: a,X2: a] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
& ! [X3: a,X4: a,X2: a] :
( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
= ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) )
& ! [X2: a,X3: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a] :
( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a] :
( ( X1 @ X2 @ X2 )
= X2 ) )
=> ( ? [X5: a,X6: a,X3: a,X7: a,X2: a] :
( ( ( X0 @ X7 @ X3 )
= X7 )
& ( ( X0 @ X2 @ X7 )
= X2 )
& ( X3 != X6 )
& ( X2 != X3 )
& ( ( X1 @ X5 @ X7 )
= X3 )
& ( ( X1 @ X2 @ X5 )
= X5 )
& ( ( X0 @ X5 @ X3 )
= X5 )
& ( X3 != X5 )
& ( ( X0 @ X5 @ X7 )
= X2 )
& ( X3 != X7 )
& ( X2 != X6 )
& ( ( X0 @ X5 @ X6 )
= X2 )
& ( X5 != X7 )
& ( ( X0 @ X6 @ X3 )
= X6 )
& ( ( X1 @ X7 @ X3 )
= X3 )
& ( ( X1 @ X2 @ X7 )
= X7 )
& ( ( X1 @ X2 @ X6 )
= X6 )
& ( X2 != X5 )
& ( ( X1 @ X2 @ X3 )
= X3 )
& ( X2 != X7 )
& ( ( X1 @ X6 @ X3 )
= X3 )
& ( X5 != X6 )
& ( ( X0 @ X2 @ X3 )
= X2 )
& ( ( X1 @ X5 @ X3 )
= X3 )
& ( ( X0 @ X2 @ X5 )
= X2 )
& ( ( X0 @ X2 @ X6 )
= X2 )
& ( ( X0 @ X6 @ X7 )
= X2 )
& ( ( X1 @ X6 @ X7 )
= X3 )
& ( X6 != X7 )
& ( ( X1 @ X5 @ X6 )
= X3 ) )
=> ~ ! [X3: a,X4: a,X2: a] :
( ( X1 @ X2 @ ( X0 @ X3 @ X4 ) )
= ( X0 @ ( X1 @ X2 @ X3 ) @ ( X1 @ X2 @ X4 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X0: a > a > a,X1: a > a > a] :
( ( ! [X3: a,X2: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ! [X2: a,X3: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X3: a,X4: a,X2: a] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
& ! [X3: a,X4: a,X2: a] :
( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
= ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) )
& ! [X2: a,X3: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a] :
( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a] :
( ( X1 @ X2 @ X2 )
= X2 ) )
=> ( ? [X5: a,X6: a,X3: a,X7: a,X2: a] :
( ( ( X0 @ X7 @ X3 )
= X7 )
& ( ( X0 @ X2 @ X7 )
= X2 )
& ( X3 != X6 )
& ( X2 != X3 )
& ( ( X1 @ X5 @ X7 )
= X3 )
& ( ( X1 @ X2 @ X5 )
= X5 )
& ( ( X0 @ X5 @ X3 )
= X5 )
& ( X3 != X5 )
& ( ( X0 @ X5 @ X7 )
= X2 )
& ( X3 != X7 )
& ( X2 != X6 )
& ( ( X0 @ X5 @ X6 )
= X2 )
& ( X5 != X7 )
& ( ( X0 @ X6 @ X3 )
= X6 )
& ( ( X1 @ X7 @ X3 )
= X3 )
& ( ( X1 @ X2 @ X7 )
= X7 )
& ( ( X1 @ X2 @ X6 )
= X6 )
& ( X2 != X5 )
& ( ( X1 @ X2 @ X3 )
= X3 )
& ( X2 != X7 )
& ( ( X1 @ X6 @ X3 )
= X3 )
& ( X5 != X6 )
& ( ( X0 @ X2 @ X3 )
= X2 )
& ( ( X1 @ X5 @ X3 )
= X3 )
& ( ( X0 @ X2 @ X5 )
= X2 )
& ( ( X0 @ X2 @ X6 )
= X2 )
& ( ( X0 @ X6 @ X7 )
= X2 )
& ( ( X1 @ X6 @ X7 )
= X3 )
& ( X6 != X7 )
& ( ( X1 @ X5 @ X6 )
= X3 ) )
=> ~ ! [X3: a,X4: a,X2: a] :
( ( X1 @ X2 @ ( X0 @ X3 @ X4 ) )
= ( X0 @ ( X1 @ X2 @ X3 ) @ ( X1 @ X2 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.rWf12oNUEg/DTF2THF_15496.p',c3_DIAMOND_THM_pme) ).
thf(f72,plain,
( ( sK0 @ sK5 @ sK3 )
= ( sK0 @ sK5 @ sK6 ) ),
inference(definition_unfolding,[status(thm)],[f22,f48]) ).
thf(f48,plain,
( sK4
= ( sK0 @ sK5 @ sK6 ) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f22,plain,
( ( sK0 @ sK5 @ sK3 )
= sK4 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f61,plain,
( sK5
!= ( sK0 @ sK5 @ sK6 ) ),
inference(definition_unfolding,[status(thm)],[f34,f48]) ).
thf(f34,plain,
sK4 != sK5,
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f1404,plain,
( sK5
= ( sK0 @ sK3 @ sK5 ) ),
inference(forward_demodulation,[status(thm)],[f1403,f109]) ).
thf(f109,plain,
! [X0: a,X1: a] :
( ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) )
= X1 ),
inference(superposition,[status(thm)],[f16,f14]) ).
thf(f14,plain,
! [X18: a,X19: a] :
( ( sK0 @ ( sK1 @ X18 @ X19 ) @ X19 )
= X19 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f1403,plain,
( ( sK0 @ sK5 @ ( sK1 @ sK3 @ sK5 ) )
= ( sK0 @ sK3 @ sK5 ) ),
inference(forward_demodulation,[status(thm)],[f1402,f82]) ).
thf(f82,plain,
( ( sK1 @ sK3 @ sK6 )
= ( sK1 @ sK3 @ sK5 ) ),
inference(forward_demodulation,[status(thm)],[f79,f18]) ).
thf(f18,plain,
! [X10: a,X11: a] :
( ( sK1 @ X10 @ X11 )
= ( sK1 @ X11 @ X10 ) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f79,plain,
( ( sK1 @ sK3 @ sK6 )
= ( sK1 @ sK5 @ sK3 ) ),
inference(backward_demodulation,[status(thm)],[f71,f18]) ).
thf(f71,plain,
( ( sK1 @ sK5 @ sK3 )
= ( sK1 @ sK6 @ sK3 ) ),
inference(definition_unfolding,[status(thm)],[f23,f28]) ).
thf(f28,plain,
( ( sK1 @ sK5 @ sK3 )
= sK2 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f23,plain,
( sK2
= ( sK1 @ sK6 @ sK3 ) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f1402,plain,
( ( sK0 @ sK5 @ ( sK1 @ sK3 @ sK6 ) )
= ( sK0 @ sK3 @ sK5 ) ),
inference(forward_demodulation,[status(thm)],[f1395,f86]) ).
thf(f1395,plain,
( ( sK0 @ sK5 @ ( sK1 @ sK3 @ sK6 ) )
= ( sK0 @ sK5 @ sK6 ) ),
inference(superposition,[status(thm)],[f471,f17]) ).
thf(f17,plain,
! [X12: a] :
( ( sK1 @ X12 @ X12 )
= X12 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f471,plain,
! [X0: a] :
( ( sK0 @ sK5 @ ( sK1 @ sK3 @ X0 ) )
= ( sK0 @ sK5 @ ( sK1 @ sK6 @ X0 ) ) ),
inference(backward_demodulation,[status(thm)],[f441,f429]) ).
thf(f429,plain,
! [X2: a,X0: a,X1: a] :
( ( sK0 @ X0 @ ( sK1 @ X1 @ X2 ) )
= ( sK1 @ ( sK0 @ X1 @ X0 ) @ ( sK0 @ X0 @ X2 ) ) ),
inference(superposition,[status(thm)],[f13,f16]) ).
thf(f13,plain,
! [X21: a,X22: a,X20: a] :
( ( sK0 @ X22 @ ( sK1 @ X21 @ X20 ) )
= ( sK1 @ ( sK0 @ X22 @ X21 ) @ ( sK0 @ X22 @ X20 ) ) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f441,plain,
! [X0: a] :
( ( sK0 @ sK5 @ ( sK1 @ sK6 @ X0 ) )
= ( sK1 @ ( sK0 @ sK3 @ sK5 ) @ ( sK0 @ sK5 @ X0 ) ) ),
inference(superposition,[status(thm)],[f13,f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU998^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.33 % Computer : n009.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue Feb 24 12:38:25 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
% 0.29/0.45 ---- Original DTF file ---
% 0.29/0.46 thf(spec,logic,$$dhol).
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 % File : SEU998^5 : TPTP v9.2.1. Released v4.0.0.
% 0.29/0.46 % Domain : Set Theory (Relations)
% 0.29/0.46 % Problem : TPS problem 3-DIAMOND-THM
% 0.29/0.46 % Version : Especial.
% 0.29/0.46 % English :
% 0.29/0.46
% 0.29/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.29/0.46 % Source : [Bro09]
% 0.29/0.46 % Names : tps_0560 [Bro09]
% 0.29/0.46 % : 3-DIAMOND-THM [TPS]
% 0.29/0.46
% 0.29/0.46 % Status : Theorem
% 0.29/0.46 % 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, 0.50 v5.4.0, 0.60 v5.1.0, 0.80 v5.0.0, 0.60 v4.1.0, 0.33 v4.0.1, 0.67 v4.0.0
% 0.29/0.46 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.29/0.46 % Number of atoms : 39 ( 39 equ; 0 cnn)
% 0.29/0.46 % Maximal formula atoms : 39 ( 39 avg)
% 0.29/0.46 % Number of connectives : 135 ( 11 ~; 0 |; 36 &; 86 @)
% 0.29/0.46 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.29/0.46 % Maximal formula depth : 39 ( 39 avg)
% 0.29/0.46 % Number of types : 1 ( 1 usr)
% 0.29/0.46 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 0.29/0.46 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.29/0.46 % Number of variables : 26 ( 0 ^; 21 !; 5 ?; 26 :)
% 0.29/0.46 % SPC : TH0_THM_EQU_NAR
% 0.29/0.46
% 0.29/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.29/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.29/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.29/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.29/0.46 % : Polymorphic definitions expanded.
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 thf(a_type,type,
% 0.29/0.46 a: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(c3_DIAMOND_THM_pme,conjecture,
% 0.29/0.46 ! [JOIN: a > a > a,MEET: a > a > a] :
% 0.29/0.46 ( ( ! [Xx: a] :
% 0.29/0.46 ( ( JOIN @ Xx @ Xx )
% 0.29/0.46 = Xx )
% 0.29/0.46 & ! [Xx: a] :
% 0.29/0.46 ( ( MEET @ Xx @ Xx )
% 0.29/0.46 = Xx )
% 0.29/0.46 & ! [Xx: a,Xy: a,Xz: a] :
% 0.29/0.46 ( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
% 0.29/0.46 = ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
% 0.29/0.46 & ! [Xx: a,Xy: a,Xz: a] :
% 0.29/0.46 ( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
% 0.29/0.46 = ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
% 0.29/0.46 & ! [Xx: a,Xy: a] :
% 0.29/0.46 ( ( JOIN @ Xx @ Xy )
% 0.29/0.46 = ( JOIN @ Xy @ Xx ) )
% 0.29/0.46 & ! [Xx: a,Xy: a] :
% 0.29/0.46 ( ( MEET @ Xx @ Xy )
% 0.29/0.46 = ( MEET @ Xy @ Xx ) )
% 0.29/0.46 & ! [Xx: a,Xy: a] :
% 0.29/0.46 ( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
% 0.29/0.46 = Xy )
% 0.29/0.46 & ! [Xx: a,Xy: a] :
% 0.29/0.46 ( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
% 0.29/0.46 = Xy ) )
% 0.29/0.46 => ( ? [Xx: a,Xy: a,Xa: a,Xb: a,Xc: a] :
% 0.29/0.46 ( ( Xa != Xb )
% 0.29/0.46 & ( Xa != Xc )
% 0.29/0.46 & ( Xa != Xx )
% 0.29/0.46 & ( Xa != Xy )
% 0.29/0.46 & ( Xb != Xc )
% 0.29/0.46 & ( Xb != Xx )
% 0.29/0.46 & ( Xb != Xy )
% 0.29/0.46 & ( Xc != Xx )
% 0.29/0.46 & ( Xc != Xy )
% 0.29/0.46 & ( Xx != Xy )
% 0.29/0.46 & ( ( MEET @ Xx @ Xy )
% 0.29/0.46 = Xy )
% 0.29/0.46 & ( ( JOIN @ Xx @ Xy )
% 0.29/0.46 = Xx )
% 0.29/0.46 & ( ( MEET @ Xx @ Xa )
% 0.29/0.46 = Xa )
% 0.29/0.46 & ( ( JOIN @ Xx @ Xa )
% 0.29/0.46 = Xx )
% 0.29/0.46 & ( ( MEET @ Xx @ Xb )
% 0.29/0.46 = Xb )
% 0.29/0.46 & ( ( JOIN @ Xx @ Xb )
% 0.29/0.46 = Xx )
% 0.29/0.46 & ( ( MEET @ Xx @ Xc )
% 0.29/0.46 = Xc )
% 0.29/0.46 & ( ( JOIN @ Xx @ Xc )
% 0.29/0.46 = Xx )
% 0.29/0.46 & ( ( MEET @ Xa @ Xb )
% 0.29/0.46 = Xy )
% 0.29/0.46 & ( ( JOIN @ Xa @ Xb )
% 0.29/0.46 = Xx )
% 0.29/0.46 & ( ( MEET @ Xa @ Xc )
% 0.29/0.46 = Xy )
% 0.29/0.46 & ( ( JOIN @ Xa @ Xc )
% 0.29/0.46 = Xx )
% 0.29/0.46 & ( ( MEET @ Xa @ Xy )
% 0.29/0.46 = Xy )
% 0.29/0.46 & ( ( JOIN @ Xa @ Xy )
% 0.29/0.46 = Xa )
% 0.29/0.46 & ( ( MEET @ Xb @ Xc )
% 0.29/0.46 = Xy )
% 0.29/0.46 & ( ( JOIN @ Xb @ Xc )
% 0.29/0.46 = Xx )
% 0.29/0.46 & ( ( MEET @ Xb @ Xy )
% 0.29/0.46 = Xy )
% 0.29/0.46 & ( ( JOIN @ Xb @ Xy )
% 0.29/0.46 = Xb )
% 0.29/0.46 & ( ( MEET @ Xc @ Xy )
% 0.29/0.46 = Xy )
% 0.29/0.46 & ( ( JOIN @ Xc @ Xy )
% 0.29/0.46 = Xc ) )
% 0.29/0.46 => ~ ! [Xx: a,Xy: a,Xz: a] :
% 0.29/0.46 ( ( MEET @ Xx @ ( JOIN @ Xy @ Xz ) )
% 0.29/0.46 = ( JOIN @ ( MEET @ Xx @ Xy ) @ ( MEET @ Xx @ Xz ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 ------------------------
% 1.70/1.33 ---- Embedded in THF ---
% 1.70/1.33 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.70/1.33 %%% Generated on Tue Feb 24 12:38:26 EST 2026
% 1.70/1.33 %%% using '$$dhol' embedding, version 1.3.0.
% 1.70/1.33 %%% Logic specification used:
% 1.70/1.33 %%% thf(spec, logic, $$dhol).
% 1.70/1.33
% 1.70/1.33 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.rWf12oNUEg/DTF2DTF15496.p
% See solution above
% 1.70/1.33 ------------------------
% 1.70/1.34 ---- Cleaned THF ---
% 1.70/1.34 thf(a_type,type,
% 1.70/1.34 a: $tType ).
% 1.70/1.34
% 1.70/1.34 thf(c3_DIAMOND_THM_pme,conjecture,
% 1.70/1.34 ! [JOIN: a > a > a,MEET: a > a > a] :
% 1.70/1.34 ( ( ! [Xx: a] :
% 1.70/1.34 ( ( JOIN @ Xx @ Xx )
% 1.70/1.34 = Xx )
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% 1.70/1.34 ( ( MEET @ Xx @ Xx )
% 1.70/1.34 = Xx )
% 1.70/1.34 & ! [Xx: a,Xy: a,Xz: a] :
% 1.70/1.34 ( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
% 1.70/1.34 = ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
% 1.70/1.34 & ! [Xx: a,Xy: a,Xz: a] :
% 1.70/1.34 ( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
% 1.70/1.34 = ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
% 1.70/1.34 & ! [Xx: a,Xy: a] :
% 1.70/1.34 ( ( JOIN @ Xx @ Xy )
% 1.70/1.34 = ( JOIN @ Xy @ Xx ) )
% 1.70/1.34 & ! [Xx: a,Xy: a] :
% 1.70/1.34 ( ( MEET @ Xx @ Xy )
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% 1.70/1.34 & ! [Xx: a,Xy: a] :
% 1.70/1.34 ( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
% 1.70/1.34 = Xy )
% 1.70/1.34 & ! [Xx: a,Xy: a] :
% 1.70/1.34 ( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
% 1.70/1.34 = Xy ) )
% 1.70/1.34 => ( ? [Xx: a,Xy: a,Xa: a,Xb: a,Xc: a] :
% 1.70/1.34 ( ( Xa != Xb )
% 1.70/1.34 & ( Xa != Xc )
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% 1.70/1.34 & ( ( JOIN @ Xx @ Xy )
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% 1.70/1.34 & ( ( MEET @ Xx @ Xa )
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% 1.70/1.34 & ( ( JOIN @ Xx @ Xa )
% 1.70/1.34 = Xx )
% 1.70/1.34 & ( ( MEET @ Xx @ Xb )
% 1.70/1.34 = Xb )
% 1.70/1.34 & ( ( JOIN @ Xx @ Xb )
% 1.70/1.34 = Xx )
% 1.70/1.34 & ( ( MEET @ Xx @ Xc )
% 1.70/1.34 = Xc )
% 1.70/1.34 & ( ( JOIN @ Xx @ Xc )
% 1.70/1.34 = Xx )
% 1.70/1.34 & ( ( MEET @ Xa @ Xb )
% 1.70/1.34 = Xy )
% 1.70/1.34 & ( ( JOIN @ Xa @ Xb )
% 1.70/1.34 = Xx )
% 1.70/1.34 & ( ( MEET @ Xa @ Xc )
% 1.70/1.34 = Xy )
% 1.70/1.34 & ( ( JOIN @ Xa @ Xc )
% 1.70/1.34 = Xx )
% 1.70/1.34 & ( ( MEET @ Xa @ Xy )
% 1.70/1.34 = Xy )
% 1.70/1.34 & ( ( JOIN @ Xa @ Xy )
% 1.70/1.34 = Xa )
% 1.70/1.34 & ( ( MEET @ Xb @ Xc )
% 1.70/1.34 = Xy )
% 1.70/1.34 & ( ( JOIN @ Xb @ Xc )
% 1.70/1.34 = Xx )
% 1.70/1.34 & ( ( MEET @ Xb @ Xy )
% 1.70/1.34 = Xy )
% 1.70/1.34 & ( ( JOIN @ Xb @ Xy )
% 1.70/1.34 = Xb )
% 1.70/1.34 & ( ( MEET @ Xc @ Xy )
% 1.70/1.34 = Xy )
% 1.70/1.34 & ( ( JOIN @ Xc @ Xy )
% 1.70/1.34 = Xc ) )
% 1.70/1.34 => ~ ! [Xx: a,Xy: a,Xz: a] :
% 1.70/1.34 ( ( MEET @ Xx @ ( JOIN @ Xy @ Xz ) )
% 1.70/1.34 = ( JOIN @ ( MEET @ Xx @ Xy ) @ ( MEET @ Xx @ Xz ) ) ) ) ) ).
% 1.70/1.34 ------------------------
% 1.70/1.35 % (15703)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_15496 for (3000ds/183Mi)
% 1.70/1.36 % (15708)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_15496 for (3000ds/275Mi)
% 1.70/1.37 % (15704)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_15496 for (3000ds/4Mi)
% 1.70/1.37 % (15705)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_15496 for (3000ds/27Mi)
% 1.70/1.37 % (15706)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_15496 for (3000ds/2Mi)
% 1.70/1.37 % (15704)Instruction limit reached!
% 1.70/1.37 % (15704)------------------------------
% 1.70/1.37 % (15704)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.37 % (15704)Termination reason: Unknown
% 1.70/1.37 % (15704)Termination phase: Function definition elimination
% 1.70/1.37
% 1.70/1.37 % (15709)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_15496 for (3000ds/18Mi)
% 1.70/1.37 % (15704)Memory used [KB]: 1023
% 1.70/1.37 % (15704)Time elapsed: 0.006 s
% 1.70/1.37 % (15704)Instructions burned: 4 (million)
% 1.70/1.37 % (15704)------------------------------
% 1.70/1.37 % (15704)------------------------------
% 1.70/1.37 % (15707)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_15496 for (3000ds/2Mi)
% 1.70/1.37 % (15706)Instruction limit reached!
% 1.70/1.37 % (15706)------------------------------
% 1.70/1.37 % (15706)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.37 % (15707)Instruction limit reached!
% 1.70/1.37 % (15707)------------------------------
% 1.70/1.37 % (15707)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.37 % (15707)Termination reason: Unknown
% 1.70/1.37 % (15707)Termination phase: shuffling
% 1.70/1.37
% 1.70/1.37 % (15707)Memory used [KB]: 1023
% 1.70/1.37 % (15707)Time elapsed: 0.004 s
% 1.70/1.37 % (15707)Instructions burned: 2 (million)
% 1.70/1.37 % (15707)------------------------------
% 1.70/1.37 % (15707)------------------------------
% 1.70/1.37 % (15706)Termination reason: Unknown
% 1.70/1.37 % (15706)Termination phase: Preprocessing 3
% 1.70/1.37
% 1.70/1.37 % (15706)Memory used [KB]: 1023
% 1.70/1.37 % (15706)Time elapsed: 0.004 s
% 1.70/1.37 % (15706)Instructions burned: 2 (million)
% 1.70/1.37 % (15706)------------------------------
% 1.70/1.37 % (15706)------------------------------
% 1.70/1.38 % (15709)Instruction limit reached!
% 1.70/1.38 % (15709)------------------------------
% 1.70/1.38 % (15709)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.38 % (15709)Termination reason: Unknown
% 1.70/1.38 % (15709)Termination phase: Saturation
% 1.70/1.38
% 1.70/1.38 % (15709)Memory used [KB]: 5628
% 1.70/1.38 % (15709)Time elapsed: 0.016 s
% 1.70/1.38 % (15709)Instructions burned: 18 (million)
% 1.70/1.38 % (15709)------------------------------
% 1.70/1.38 % (15709)------------------------------
% 1.70/1.39 % (15714)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_15496 for (2999ds/3Mi)
% 1.70/1.39 % (15714)Instruction limit reached!
% 1.70/1.39 % (15714)------------------------------
% 1.70/1.39 % (15714)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.39 % (15714)Termination reason: Unknown
% 1.70/1.39 % (15714)Termination phase: Preprocessing 3
% 1.70/1.39
% 1.70/1.39 % (15714)Memory used [KB]: 1023
% 1.70/1.39 % (15714)Time elapsed: 0.003 s
% 1.70/1.39 % (15714)Instructions burned: 3 (million)
% 1.70/1.39 % (15714)------------------------------
% 1.70/1.39 % (15714)------------------------------
% 1.70/1.39 % (15705)Instruction limit reached!
% 1.70/1.39 % (15705)------------------------------
% 1.70/1.39 % (15705)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.39 % (15705)Termination reason: Unknown
% 1.70/1.39 % (15705)Termination phase: Saturation
% 1.70/1.39
% 1.70/1.39 % (15705)Memory used [KB]: 5628
% 1.70/1.39 % (15705)Time elapsed: 0.026 s
% 1.70/1.39 % (15705)Instructions burned: 27 (million)
% 1.70/1.39 % (15705)------------------------------
% 1.70/1.39 % (15705)------------------------------
% 1.76/1.40 % (15715)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_15496 for (2999ds/37Mi)
% 1.76/1.40 % (15716)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_15496 for (2999ds/15Mi)
% 1.76/1.41 % (15718)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_15496 for (2999ds/3Mi)
% 1.76/1.42 % (15718)Instruction limit reached!
% 1.76/1.42 % (15718)------------------------------
% 1.76/1.42 % (15718)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.42 % (15718)Termination reason: Unknown
% 1.76/1.42 % (15718)Termination phase: Preprocessing 3
% 1.76/1.42 % (15716)Instruction limit reached!
% 1.76/1.42 % (15716)------------------------------
% 1.76/1.42 % (15716)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.42 % (15716)Termination reason: Unknown
% 1.76/1.42 % (15716)Termination phase: Saturation
% 1.76/1.42
% 1.76/1.42 % (15716)Memory used [KB]: 5756
% 1.76/1.42 % (15716)Time elapsed: 0.017 s
% 1.76/1.42 % (15716)Instructions burned: 15 (million)
% 1.76/1.42 % (15716)------------------------------
% 1.76/1.42 % (15716)------------------------------
% 1.76/1.42
% 1.76/1.42 % (15718)Memory used [KB]: 1023
% 1.76/1.42 % (15718)Time elapsed: 0.005 s
% 1.76/1.42 % (15718)Instructions burned: 3 (million)
% 1.76/1.42 % (15718)------------------------------
% 1.76/1.42 % (15718)------------------------------
% 1.76/1.42 % (15721)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_15496 for (2999ds/1041Mi)
% 1.76/1.42 % (15715)Instruction limit reached!
% 1.76/1.42 % (15715)------------------------------
% 1.76/1.42 % (15715)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.42 % (15715)Termination reason: Unknown
% 1.76/1.42 % (15715)Termination phase: Saturation
% 1.76/1.42
% 1.76/1.42 % (15715)Memory used [KB]: 5628
% 1.76/1.42 % (15715)Time elapsed: 0.025 s
% 1.76/1.42 % (15715)Instructions burned: 38 (million)
% 1.76/1.42 % (15715)------------------------------
% 1.76/1.42 % (15715)------------------------------
% 1.76/1.42 % (15722)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_15496 for (2999ds/7Mi)
% 1.76/1.43 % (15722)Instruction limit reached!
% 1.76/1.43 % (15722)------------------------------
% 1.76/1.43 % (15722)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.43 % (15722)Termination reason: Unknown
% 1.76/1.43 % (15722)Termination phase: Saturation
% 1.76/1.43
% 1.76/1.43 % (15722)Memory used [KB]: 1023
% 1.76/1.43 % (15722)Time elapsed: 0.007 s
% 1.76/1.43 % (15722)Instructions burned: 7 (million)
% 1.76/1.43 % (15722)------------------------------
% 1.76/1.43 % (15722)------------------------------
% 1.76/1.44 % (15727)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_15496 for (2999ds/3Mi)
% 1.76/1.44 % (15727)Instruction limit reached!
% 1.76/1.44 % (15727)------------------------------
% 1.76/1.44 % (15727)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.44 % (15727)Termination reason: Unknown
% 1.76/1.44 % (15727)Termination phase: shuffling
% 1.76/1.44
% 1.76/1.44 % (15727)Memory used [KB]: 1023
% 1.76/1.44 % (15727)Time elapsed: 0.003 s
% 1.76/1.44 % (15727)Instructions burned: 3 (million)
% 1.76/1.44 % (15727)------------------------------
% 1.76/1.44 % (15727)------------------------------
% 1.76/1.44 % (15703)Instruction limit reached!
% 1.76/1.44 % (15703)------------------------------
% 1.76/1.44 % (15703)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.44 % (15703)Termination reason: Unknown
% 1.76/1.44 % (15703)Termination phase: Saturation
% 1.76/1.44
% 1.76/1.44 % (15703)Memory used [KB]: 6652
% 1.76/1.44 % (15703)Time elapsed: 0.087 s
% 1.76/1.44 % (15703)Instructions burned: 184 (million)
% 1.76/1.44 % (15703)------------------------------
% 1.76/1.44 % (15703)------------------------------
% 1.76/1.44 % (15726)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_15496 for (2999ds/16Mi)
% 1.76/1.45 % (15708)Instruction limit reached!
% 1.76/1.45 % (15708)------------------------------
% 1.76/1.45 % (15708)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.45 % (15708)Termination reason: Unknown
% 1.76/1.45 % (15708)Termination phase: Saturation
% 1.76/1.45
% 1.76/1.45 % (15708)Memory used [KB]: 6268
% 1.76/1.45 % (15708)Time elapsed: 0.090 s
% 1.76/1.45 % (15708)Instructions burned: 276 (million)
% 1.76/1.45 % (15708)------------------------------
% 1.76/1.45 % (15708)------------------------------
% 1.76/1.45 % (15732)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_15496 for (2999ds/7Mi)
% 1.76/1.45 % (15732)Instruction limit reached!
% 1.76/1.45 % (15732)------------------------------
% 1.76/1.45 % (15732)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.45 % (15732)Termination reason: Unknown
% 1.76/1.45 % (15732)Termination phase: Saturation
% 1.76/1.45
% 1.76/1.45 % (15732)Memory used [KB]: 5500
% 1.76/1.45 % (15732)Time elapsed: 0.005 s
% 1.76/1.45 % (15732)Instructions burned: 7 (million)
% 1.76/1.45 % (15732)------------------------------
% 1.76/1.45 % (15732)------------------------------
% 1.76/1.45 % (15726)Instruction limit reached!
% 1.76/1.45 % (15726)------------------------------
% 1.76/1.45 % (15726)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.45 % (15726)Termination reason: Unknown
% 1.76/1.45 % (15726)Termination phase: Saturation
% 1.76/1.45
% 1.76/1.45 % (15726)Memory used [KB]: 5884
% 1.76/1.45 % (15726)Time elapsed: 0.011 s
% 1.76/1.45 % (15726)Instructions burned: 17 (million)
% 1.76/1.45 % (15726)------------------------------
% 1.76/1.45 % (15726)------------------------------
% 1.76/1.45 % (15728)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_15496 for (2999ds/3Mi)
% 1.76/1.45 % (15733)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_15496 for (2999ds/3Mi)
% 1.76/1.45 % (15728)Instruction limit reached!
% 1.76/1.45 % (15728)------------------------------
% 1.76/1.45 % (15728)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.45 % (15728)Termination reason: Unknown
% 1.76/1.45 % (15728)Termination phase: Preprocessing 3
% 1.76/1.45
% 1.76/1.45 % (15728)Memory used [KB]: 1023
% 1.76/1.45 % (15728)Time elapsed: 0.004 s
% 1.76/1.45 % (15728)Instructions burned: 3 (million)
% 1.76/1.45 % (15728)------------------------------
% 1.76/1.45 % (15728)------------------------------
% 1.76/1.45 % (15733)Instruction limit reached!
% 1.76/1.45 % (15733)------------------------------
% 1.76/1.45 % (15733)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.45 % (15733)Termination reason: Unknown
% 1.76/1.45 % (15733)Termination phase: shuffling
% 1.76/1.45
% 1.76/1.45 % (15733)Memory used [KB]: 1023
% 1.76/1.45 % (15733)Time elapsed: 0.003 s
% 1.76/1.45 % (15733)Instructions burned: 3 (million)
% 1.76/1.45 % (15733)------------------------------
% 1.76/1.45 % (15733)------------------------------
% 1.76/1.45 % (15734)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_15496 for (2999ds/4Mi)
% 1.76/1.46 % (15734)Instruction limit reached!
% 1.76/1.46 % (15734)------------------------------
% 1.76/1.46 % (15734)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.46 % (15734)Termination reason: Unknown
% 1.76/1.46 % (15734)Termination phase: Property scanning
% 1.76/1.46
% 1.76/1.46 % (15734)Memory used [KB]: 1023
% 1.76/1.46 % (15734)Time elapsed: 0.002 s
% 1.76/1.46 % (15734)Instructions burned: 4 (million)
% 1.76/1.46 % (15734)------------------------------
% 1.76/1.46 % (15734)------------------------------
% 1.76/1.46 % (15737)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_15496 for (2999ds/18Mi)
% 1.76/1.46 % (15738)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_15496 for (2998ds/710Mi)
% 1.76/1.46 % (15740)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_15496 for (2998ds/902Mi)
% 1.76/1.47 % (15739)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_15496 for (2998ds/6Mi)
% 1.76/1.47 % (15739)Instruction limit reached!
% 1.76/1.47 % (15739)------------------------------
% 1.76/1.47 % (15739)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.47 % (15739)Termination reason: Unknown
% 1.76/1.47 % (15739)Termination phase: Saturation
% 1.76/1.47
% 1.76/1.47 % (15739)Memory used [KB]: 5500
% 1.76/1.47 % (15737)Instruction limit reached!
% 1.76/1.47 % (15737)------------------------------
% 1.76/1.47 % (15737)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.47 % (15737)Termination reason: Unknown
% 1.76/1.47 % (15737)Termination phase: Saturation
% 1.76/1.47
% 1.76/1.47 % (15737)Memory used [KB]: 5628
% 1.76/1.47 % (15737)Time elapsed: 0.012 s
% 1.76/1.47 % (15737)Instructions burned: 18 (million)
% 1.76/1.47 % (15737)------------------------------
% 1.76/1.47 % (15737)------------------------------
% 1.76/1.47 % (15739)Time elapsed: 0.005 s
% 1.76/1.47 % (15739)Instructions burned: 6 (million)
% 1.76/1.47 % (15739)------------------------------
% 1.76/1.47 % (15739)------------------------------
% 1.76/1.47 % (15741)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_15496 for (2998ds/21Mi)
% 1.76/1.47 % (15742)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_15496 for (2998ds/5Mi)
% 1.76/1.48 % (15742)Instruction limit reached!
% 1.76/1.48 % (15742)------------------------------
% 1.76/1.48 % (15742)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.48 % (15742)Termination reason: Unknown
% 1.76/1.48 % (15742)Termination phase: Property scanning
% 1.76/1.48
% 1.76/1.48 % (15742)Memory used [KB]: 1023
% 1.76/1.48 % (15742)Time elapsed: 0.004 s
% 1.76/1.48 % (15742)Instructions burned: 6 (million)
% 1.76/1.48 % (15742)------------------------------
% 1.76/1.48 % (15742)------------------------------
% 1.76/1.48 % (15741)Instruction limit reached!
% 1.76/1.48 % (15741)------------------------------
% 1.76/1.48 % (15741)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.48 % (15741)Termination reason: Unknown
% 1.76/1.49 % (15741)Termination phase: Saturation
% 1.76/1.49
% 1.76/1.49 % (15741)Memory used [KB]: 5756
% 1.76/1.49 % (15741)Time elapsed: 0.014 s
% 1.76/1.49 % (15741)Instructions burned: 21 (million)
% 1.76/1.49 % (15741)------------------------------
% 1.76/1.49 % (15741)------------------------------
% 1.76/1.49 % (15745)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_15496 for (2998ds/6Mi)
% 1.76/1.49 % (15745)Instruction limit reached!
% 1.76/1.49 % (15745)------------------------------
% 1.76/1.49 % (15745)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.49 % (15745)Termination reason: Unknown
% 1.76/1.49 % (15745)Termination phase: Property scanning
% 1.76/1.49
% 1.76/1.49 % (15745)Memory used [KB]: 1023
% 1.76/1.49 % (15745)Time elapsed: 0.005 s
% 1.76/1.49 % (15745)Instructions burned: 7 (million)
% 1.76/1.49 % (15745)------------------------------
% 1.76/1.49 % (15745)------------------------------
% 1.76/1.49 % (15746)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_15496 for (2998ds/377Mi)
% 1.76/1.49 % (15747)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_15496 for (2998ds/779Mi)
% 1.76/1.50 % (15748)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_15496 for (2998ds/19Mi)
% 1.76/1.51 % (15750)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_15496 for (2998ds/879Mi)
% 1.76/1.51 % (15748)Instruction limit reached!
% 1.76/1.51 % (15748)------------------------------
% 1.76/1.51 % (15748)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.51 % (15748)Termination reason: Unknown
% 1.76/1.51 % (15748)Termination phase: Saturation
% 1.76/1.51
% 1.76/1.51 % (15748)Memory used [KB]: 5628
% 1.76/1.51 % (15748)Time elapsed: 0.011 s
% 1.76/1.51 % (15748)Instructions burned: 19 (million)
% 1.76/1.51 % (15748)------------------------------
% 1.76/1.51 % (15748)------------------------------
% 1.76/1.53 % (15752)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_15496 for (2998ds/17Mi)
% 1.76/1.54 % (15752)Instruction limit reached!
% 1.76/1.54 % (15752)------------------------------
% 1.76/1.54 % (15752)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.54 % (15752)Termination reason: Unknown
% 1.76/1.54 % (15752)Termination phase: Saturation
% 1.76/1.54
% 1.76/1.54 % (15752)Memory used [KB]: 5756
% 1.76/1.54 % (15752)Time elapsed: 0.012 s
% 1.76/1.54 % (15752)Instructions burned: 18 (million)
% 1.76/1.54 % (15752)------------------------------
% 1.76/1.54 % (15752)------------------------------
% 1.76/1.56 % (15755)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_15496 for (2998ds/3Mi)
% 1.76/1.56 % (15755)Instruction limit reached!
% 1.76/1.56 % (15755)------------------------------
% 1.76/1.56 % (15755)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.56 % (15755)Termination reason: Unknown
% 1.76/1.56 % (15755)Termination phase: shuffling
% 1.76/1.56
% 1.76/1.56 % (15755)Memory used [KB]: 1023
% 1.76/1.56 % (15755)Time elapsed: 0.003 s
% 1.76/1.56 % (15755)Instructions burned: 3 (million)
% 1.76/1.56 % (15755)------------------------------
% 1.76/1.56 % (15755)------------------------------
% 1.76/1.57 % (15756)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_15496 for (2997ds/30Mi)
% 1.76/1.59 % (15756)Instruction limit reached!
% 1.76/1.59 % (15756)------------------------------
% 1.76/1.59 % (15756)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.59 % (15756)Termination reason: Unknown
% 1.76/1.59 % (15756)Termination phase: Saturation
% 1.76/1.59
% 1.76/1.59 % (15756)Memory used [KB]: 5628
% 1.76/1.59 % (15756)Time elapsed: 0.017 s
% 1.76/1.59 % (15756)Instructions burned: 31 (million)
% 1.76/1.59 % (15756)------------------------------
% 1.76/1.59 % (15756)------------------------------
% 1.76/1.61 % (15758)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_15496 for (2997ds/127Mi)
% 1.76/1.66 % (15738)First to succeed.
% 1.76/1.66 % (15738)Refutation found. Thanks to Tanya!
% 1.76/1.66 % SZS status Theorem for DTF2THF_15496
% 1.76/1.66 % SZS output start Proof for DTF2THF_15496
% 1.76/1.66 thf(type_def_5, type, a: $tType).
% 1.76/1.66 thf(func_def_0, type, a: $tType).
% 1.76/1.66 thf(func_def_4, type, sK0: a > a > a).
% 1.76/1.66 thf(func_def_5, type, sK1: a > a > a).
% 1.76/1.66 thf(func_def_6, type, sK2: a).
% 1.76/1.66 thf(func_def_7, type, sK3: a).
% 1.76/1.66 thf(func_def_8, type, sK4: a).
% 1.76/1.66 thf(func_def_9, type, sK5: a).
% 1.76/1.66 thf(func_def_10, type, sK6: a).
% 1.76/1.66 thf(f1405,plain,(
% 1.76/1.66 $false),
% 1.76/1.66 inference(subsumption_resolution,[status(thm)],[f1404,f134])).
% 1.76/1.66 thf(f134,plain,(
% 1.76/1.66 (sK5 != (sK0 @ sK3 @ sK5))),
% 1.76/1.66 inference(superposition,[status(thm)],[f61,f86])).
% 1.76/1.66 thf(f86,plain,(
% 1.76/1.66 ((sK0 @ sK5 @ sK6) = (sK0 @ sK3 @ sK5))),
% 1.76/1.66 inference(backward_demodulation,[status(thm)],[f72,f16])).
% 1.76/1.66 thf(f16,plain,(
% 1.76/1.66 ( ! [X14 : a,X13 : a] : (((sK0 @ X13 @ X14) = (sK0 @ X14 @ X13))) )),
% 1.76/1.66 inference(cnf_transformation,[status(thm)],[f10])).
% 1.76/1.66 thf(f10,plain,(
% 1.76/1.66 (((sK1 @ sK2 @ sK5) = sK2) & (sK4 = (sK0 @ sK5 @ sK6)) & ((sK1 @ sK2 @ sK4) = sK2) & (sK3 != sK5) & (sK6 != sK2) & (sK6 != sK5) & (sK4 = (sK0 @ sK3 @ sK4)) & (sK4 != sK2) & (sK4 = (sK0 @ sK5 @ sK4)) & ((sK0 @ sK2 @ sK6) = sK6) & (sK4 = (sK0 @ sK2 @ sK4)) & (sK5 != sK2) & (sK3 != sK6) & (sK4 = (sK0 @ sK6 @ sK3)) & ((sK1 @ sK2 @ sK3) = sK2) & (sK4 != sK5) & (sK5 = (sK1 @ sK5 @ sK4)) & (sK3 != sK2) & ((sK1 @ sK3 @ sK4) = sK3) & ((sK0 @ sK2 @ sK5) = sK5) & (sK3 = (sK0 @ sK2 @ sK3)) & ((sK1 @ sK5 @ sK3) = sK2) & (sK4 = (sK0 @ sK6 @ sK4)) & (sK4 != sK6) & (sK2 = (sK1 @ sK2 @ sK6)) & (sK4 != sK3) & (sK2 = (sK1 @ sK6 @ sK3)) & ((sK0 @ sK5 @ sK3) = sK4) & ((sK1 @ sK5 @ sK6) = sK2) & (sK6 = (sK1 @ sK6 @ sK4))) & ! [X7 : a,X8 : a,X9 : a] : ((sK0 @ (sK0 @ X8 @ X7) @ X9) = (sK0 @ X8 @ (sK0 @ X7 @ X9))) & ! [X10 : a,X11 : a] : ((sK1 @ X10 @ X11) = (sK1 @ X11 @ X10)) & ! [X12 : a] : ((sK1 @ X12 @ X12) = X12) & ! [X13 : a,X14 : a] : ((sK0 @ X13 @ X14) = (sK0 @ X14 @ X13)) & ! [X15 : a,X16 : a,X17 : a] : ((sK1 @ (sK1 @ X15 @ X17) @ X16) = (sK1 @ X15 @ (sK1 @ X17 @ X16))) & ! [X18 : a,X19 : a] : ((sK0 @ (sK1 @ X18 @ X19) @ X19) = X19) & ! [X20 : a,X21 : a,X22 : a] : ((sK0 @ X22 @ (sK1 @ X21 @ X20)) = (sK1 @ (sK0 @ X22 @ X21) @ (sK0 @ X22 @ X20))) & ! [X23 : a,X24 : a] : ((sK1 @ (sK0 @ X24 @ X23) @ X23) = X23) & ! [X25 : a] : ((sK0 @ X25 @ X25) = X25)),
% 1.76/1.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f7,f9,f8])).
% 1.76/1.66 thf(f8,plain,(
% 1.76/1.66 ? [X0 : a > a > a,X1 : a > a > a] : (? [X2 : a,X3 : a,X4 : a,X5 : a,X6 : a] : (((X1 @ X2 @ X5) = X2) & ((X0 @ X5 @ X6) = X4) & ((X1 @ X2 @ X4) = X2) & (X3 != X5) & (X2 != X6) & (X5 != X6) & ((X0 @ X3 @ X4) = X4) & (X2 != X4) & ((X0 @ X5 @ X4) = X4) & ((X0 @ X2 @ X6) = X6) & ((X0 @ X2 @ X4) = X4) & (X2 != X5) & (X3 != X6) & ((X0 @ X6 @ X3) = X4) & ((X1 @ X2 @ X3) = X2) & (X4 != X5) & ((X1 @ X5 @ X4) = X5) & (X2 != X3) & ((X1 @ X3 @ X4) = X3) & ((X0 @ X2 @ X5) = X5) & ((X0 @ X2 @ X3) = X3) & ((X1 @ X5 @ X3) = X2) & ((X0 @ X6 @ X4) = X4) & (X4 != X6) & ((X1 @ X2 @ X6) = X2) & (X3 != X4) & ((X1 @ X6 @ X3) = X2) & ((X0 @ X5 @ X3) = X4) & ((X1 @ X5 @ X6) = X2) & ((X1 @ X6 @ X4) = X6)) & ! [X7 : a,X8 : a,X9 : a] : ((X0 @ X8 @ (X0 @ X7 @ X9)) = (X0 @ (X0 @ X8 @ X7) @ X9)) & ! [X10 : a,X11 : a] : ((X1 @ X10 @ X11) = (X1 @ X11 @ X10)) & ! [X12 : a] : ((X1 @ X12 @ X12) = X12) & ! [X13 : a,X14 : a] : ((X0 @ X13 @ X14) = (X0 @ X14 @ X13)) & ! [X15 : a,X16 : a,X17 : a] : ((X1 @ X15 @ (X1 @ X17 @ X16)) = (X1 @ (X1 @ X15 @ X17) @ X16)) & ! [X18 : a,X19 : a] : ((X0 @ (X1 @ X18 @ X19) @ X19) = X19) & ! [X20 : a,X21 : a,X22 : a] : ((X0 @ X22 @ (X1 @ X21 @ X20)) = (X1 @ (X0 @ X22 @ X21) @ (X0 @ X22 @ X20))) & ! [X23 : a,X24 : a] : ((X1 @ (X0 @ X24 @ X23) @ X23) = X23) & ! [X25 : a] : ((X0 @ X25 @ X25) = X25)) => (? [X6 : a,X5 : a,X4 : a,X3 : a,X2 : a] : (((sK1 @ X2 @ X5) = X2) & ((sK0 @ X5 @ X6) = X4) & ((sK1 @ X2 @ X4) = X2) & (X3 != X5) & (X2 != X6) & (X5 != X6) & ((sK0 @ X3 @ X4) = X4) & (X2 != X4) & ((sK0 @ X5 @ X4) = X4) & ((sK0 @ X2 @ X6) = X6) & ((sK0 @ X2 @ X4) = X4) & (X2 != X5) & (X3 != X6) & ((sK0 @ X6 @ X3) = X4) & ((sK1 @ X2 @ X3) = X2) & (X4 != X5) & ((sK1 @ X5 @ X4) = X5) & (X2 != X3) & ((sK1 @ X3 @ X4) = X3) & ((sK0 @ X2 @ X5) = X5) & ((sK0 @ X2 @ X3) = X3) & ((sK1 @ X5 @ X3) = X2) & ((sK0 @ X6 @ X4) = X4) & (X4 != X6) & ((sK1 @ X2 @ X6) = X2) & (X3 != X4) & ((sK1 @ X6 @ X3) = X2) & ((sK0 @ X5 @ X3) = X4) & ((sK1 @ X5 @ X6) = X2) & ((sK1 @ X6 @ X4) = X6)) & ! [X9 : a,X8 : a,X7 : a] : ((sK0 @ (sK0 @ X8 @ X7) @ X9) = (sK0 @ X8 @ (sK0 @ X7 @ X9))) & ! [X11 : a,X10 : a] : ((sK1 @ X10 @ X11) = (sK1 @ X11 @ X10)) & ! [X12 : a] : ((sK1 @ X12 @ X12) = X12) & ! [X14 : a,X13 : a] : ((sK0 @ X13 @ X14) = (sK0 @ X14 @ X13)) & ! [X17 : a,X16 : a,X15 : a] : ((sK1 @ (sK1 @ X15 @ X17) @ X16) = (sK1 @ X15 @ (sK1 @ X17 @ X16))) & ! [X19 : a,X18 : a] : ((sK0 @ (sK1 @ X18 @ X19) @ X19) = X19) & ! [X22 : a,X21 : a,X20 : a] : ((sK0 @ X22 @ (sK1 @ X21 @ X20)) = (sK1 @ (sK0 @ X22 @ X21) @ (sK0 @ X22 @ X20))) & ! [X24 : a,X23 : a] : ((sK1 @ (sK0 @ X24 @ X23) @ X23) = X23) & ! [X25 : a] : ((sK0 @ X25 @ X25) = X25))),
% 1.76/1.66 introduced(definition,[],[choice_axiom])).
% 1.76/1.66 thf(f9,plain,(
% 1.76/1.66 ? [X6 : a,X5 : a,X4 : a,X3 : a,X2 : a] : (((sK1 @ X2 @ X5) = X2) & ((sK0 @ X5 @ X6) = X4) & ((sK1 @ X2 @ X4) = X2) & (X3 != X5) & (X2 != X6) & (X5 != X6) & ((sK0 @ X3 @ X4) = X4) & (X2 != X4) & ((sK0 @ X5 @ X4) = X4) & ((sK0 @ X2 @ X6) = X6) & ((sK0 @ X2 @ X4) = X4) & (X2 != X5) & (X3 != X6) & ((sK0 @ X6 @ X3) = X4) & ((sK1 @ X2 @ X3) = X2) & (X4 != X5) & ((sK1 @ X5 @ X4) = X5) & (X2 != X3) & ((sK1 @ X3 @ X4) = X3) & ((sK0 @ X2 @ X5) = X5) & ((sK0 @ X2 @ X3) = X3) & ((sK1 @ X5 @ X3) = X2) & ((sK0 @ X6 @ X4) = X4) & (X4 != X6) & ((sK1 @ X2 @ X6) = X2) & (X3 != X4) & ((sK1 @ X6 @ X3) = X2) & ((sK0 @ X5 @ X3) = X4) & ((sK1 @ X5 @ X6) = X2) & ((sK1 @ X6 @ X4) = X6)) => (((sK1 @ sK2 @ sK5) = sK2) & (sK4 = (sK0 @ sK5 @ sK6)) & ((sK1 @ sK2 @ sK4) = sK2) & (sK3 != sK5) & (sK6 != sK2) & (sK6 != sK5) & (sK4 = (sK0 @ sK3 @ sK4)) & (sK4 != sK2) & (sK4 = (sK0 @ sK5 @ sK4)) & ((sK0 @ sK2 @ sK6) = sK6) & (sK4 = (sK0 @ sK2 @ sK4)) & (sK5 != sK2) & (sK3 != sK6) & (sK4 = (sK0 @ sK6 @ sK3)) & ((sK1 @ sK2 @ sK3) = sK2) & (sK4 != sK5) & (sK5 = (sK1 @ sK5 @ sK4)) & (sK3 != sK2) & ((sK1 @ sK3 @ sK4) = sK3) & ((sK0 @ sK2 @ sK5) = sK5) & (sK3 = (sK0 @ sK2 @ sK3)) & ((sK1 @ sK5 @ sK3) = sK2) & (sK4 = (sK0 @ sK6 @ sK4)) & (sK4 != sK6) & (sK2 = (sK1 @ sK2 @ sK6)) & (sK4 != sK3) & (sK2 = (sK1 @ sK6 @ sK3)) & ((sK0 @ sK5 @ sK3) = sK4) & ((sK1 @ sK5 @ sK6) = sK2) & (sK6 = (sK1 @ sK6 @ sK4)))),
% 1.76/1.66 introduced(definition,[],[choice_axiom])).
% 1.76/1.66 thf(f7,plain,(
% 1.76/1.66 ? [X0 : a > a > a,X1 : a > a > a] : (? [X2 : a,X3 : a,X4 : a,X5 : a,X6 : a] : (((X1 @ X2 @ X5) = X2) & ((X0 @ X5 @ X6) = X4) & ((X1 @ X2 @ X4) = X2) & (X3 != X5) & (X2 != X6) & (X5 != X6) & ((X0 @ X3 @ X4) = X4) & (X2 != X4) & ((X0 @ X5 @ X4) = X4) & ((X0 @ X2 @ X6) = X6) & ((X0 @ X2 @ X4) = X4) & (X2 != X5) & (X3 != X6) & ((X0 @ X6 @ X3) = X4) & ((X1 @ X2 @ X3) = X2) & (X4 != X5) & ((X1 @ X5 @ X4) = X5) & (X2 != X3) & ((X1 @ X3 @ X4) = X3) & ((X0 @ X2 @ X5) = X5) & ((X0 @ X2 @ X3) = X3) & ((X1 @ X5 @ X3) = X2) & ((X0 @ X6 @ X4) = X4) & (X4 != X6) & ((X1 @ X2 @ X6) = X2) & (X3 != X4) & ((X1 @ X6 @ X3) = X2) & ((X0 @ X5 @ X3) = X4) & ((X1 @ X5 @ X6) = X2) & ((X1 @ X6 @ X4) = X6)) & ! [X7 : a,X8 : a,X9 : a] : ((X0 @ X8 @ (X0 @ X7 @ X9)) = (X0 @ (X0 @ X8 @ X7) @ X9)) & ! [X10 : a,X11 : a] : ((X1 @ X10 @ X11) = (X1 @ X11 @ X10)) & ! [X12 : a] : ((X1 @ X12 @ X12) = X12) & ! [X13 : a,X14 : a] : ((X0 @ X13 @ X14) = (X0 @ X14 @ X13)) & ! [X15 : a,X16 : a,X17 : a] : ((X1 @ X15 @ (X1 @ X17 @ X16)) = (X1 @ (X1 @ X15 @ X17) @ X16)) & ! [X18 : a,X19 : a] : ((X0 @ (X1 @ X18 @ X19) @ X19) = X19) & ! [X20 : a,X21 : a,X22 : a] : ((X0 @ X22 @ (X1 @ X21 @ X20)) = (X1 @ (X0 @ X22 @ X21) @ (X0 @ X22 @ X20))) & ! [X23 : a,X24 : a] : ((X1 @ (X0 @ X24 @ X23) @ X23) = X23) & ! [X25 : a] : ((X0 @ X25 @ X25) = X25))),
% 1.76/1.66 inference(rectify,[status(thm)],[f6])).
% 1.76/1.66 thf(f6,plain,(
% 1.76/1.66 ? [X1 : a > a > a,X0 : a > a > a] : (? [X22 : a,X21 : a,X20 : a,X18 : a,X19 : a] : (((X0 @ X22 @ X18) = X22) & ((X1 @ X18 @ X19) = X20) & ((X0 @ X22 @ X20) = X22) & (X18 != X21) & (X19 != X22) & (X18 != X19) & ((X1 @ X21 @ X20) = X20) & (X20 != X22) & ((X1 @ X18 @ X20) = X20) & ((X1 @ X22 @ X19) = X19) & ((X1 @ X22 @ X20) = X20) & (X18 != X22) & (X19 != X21) & ((X1 @ X19 @ X21) = X20) & ((X0 @ X22 @ X21) = X22) & (X18 != X20) & ((X0 @ X18 @ X20) = X18) & (X21 != X22) & ((X0 @ X21 @ X20) = X21) & ((X1 @ X22 @ X18) = X18) & ((X1 @ X22 @ X21) = X21) & ((X0 @ X18 @ X21) = X22) & ((X1 @ X19 @ X20) = X20) & (X19 != X20) & ((X0 @ X22 @ X19) = X22) & (X20 != X21) & ((X0 @ X19 @ X21) = X22) & ((X1 @ X18 @ X21) = X20) & ((X0 @ X18 @ X19) = X22) & ((X0 @ X19 @ X20) = X19)) & ! [X7 : a,X9 : a,X8 : a] : ((X1 @ X9 @ (X1 @ X7 @ X8)) = (X1 @ (X1 @ X9 @ X7) @ X8)) & ! [X3 : a,X2 : a] : ((X0 @ X2 @ X3) = (X0 @ X3 @ X2)) & ! [X4 : a] : ((X0 @ X4 @ X4) = X4) & ! [X6 : a,X5 : a] : ((X1 @ X5 @ X6) = (X1 @ X6 @ X5)) & ! [X12 : a,X11 : a,X10 : a] : ((X0 @ (X0 @ X12 @ X10) @ X11) = (X0 @ X12 @ (X0 @ X10 @ X11))) & ! [X13 : a,X14 : a] : ((X1 @ (X0 @ X13 @ X14) @ X14) = X14) & ! [X24 : a,X23 : a,X25 : a] : ((X0 @ (X1 @ X25 @ X23) @ (X1 @ X25 @ X24)) = (X1 @ X25 @ (X0 @ X23 @ X24))) & ! [X16 : a,X15 : a] : ((X0 @ (X1 @ X15 @ X16) @ X16) = X16) & ! [X17 : a] : ((X1 @ X17 @ X17) = X17))),
% 1.76/1.66 inference(flattening,[status(thm)],[f5])).
% 1.76/1.66 thf(f5,plain,(
% 1.76/1.66 ? [X1 : a > a > a,X0 : a > a > a] : ((! [X24 : a,X23 : a,X25 : a] : ((X0 @ (X1 @ X25 @ X23) @ (X1 @ X25 @ X24)) = (X1 @ X25 @ (X0 @ X23 @ X24))) & ? [X22 : a,X21 : a,X20 : a,X18 : a,X19 : a] : (((X0 @ X22 @ X18) = X22) & ((X1 @ X18 @ X19) = X20) & ((X0 @ X22 @ X20) = X22) & (X18 != X21) & (X19 != X22) & (X18 != X19) & ((X1 @ X21 @ X20) = X20) & (X20 != X22) & ((X1 @ X18 @ X20) = X20) & ((X1 @ X22 @ X19) = X19) & ((X1 @ X22 @ X20) = X20) & (X18 != X22) & (X19 != X21) & ((X1 @ X19 @ X21) = X20) & ((X0 @ X22 @ X21) = X22) & (X18 != X20) & ((X0 @ X18 @ X20) = X18) & (X21 != X22) & ((X0 @ X21 @ X20) = X21) & ((X1 @ X22 @ X18) = X18) & ((X1 @ X22 @ X21) = X21) & ((X0 @ X18 @ X21) = X22) & ((X1 @ X19 @ X20) = X20) & (X19 != X20) & ((X0 @ X22 @ X19) = X22) & (X20 != X21) & ((X0 @ X19 @ X21) = X22) & ((X1 @ X18 @ X21) = X20) & ((X0 @ X18 @ X19) = X22) & ((X0 @ X19 @ X20) = X19))) & (! [X6 : a,X5 : a] : ((X1 @ X5 @ X6) = (X1 @ X6 @ X5)) & ! [X7 : a,X9 : a,X8 : a] : ((X1 @ X9 @ (X1 @ X7 @ X8)) = (X1 @ (X1 @ X9 @ X7) @ X8)) & ! [X12 : a,X11 : a,X10 : a] : ((X0 @ (X0 @ X12 @ X10) @ X11) = (X0 @ X12 @ (X0 @ X10 @ X11))) & ! [X3 : a,X2 : a] : ((X0 @ X2 @ X3) = (X0 @ X3 @ X2)) & ! [X4 : a] : ((X0 @ X4 @ X4) = X4) & ! [X16 : a,X15 : a] : ((X0 @ (X1 @ X15 @ X16) @ X16) = X16) & ! [X17 : a] : ((X1 @ X17 @ X17) = X17) & ! [X13 : a,X14 : a] : ((X1 @ (X0 @ X13 @ X14) @ X14) = X14)))),
% 1.76/1.66 inference(ennf_transformation,[status(thm)],[f4])).
% 1.76/1.66 thf(f4,plain,(
% 1.76/1.66 ~! [X1 : a > a > a,X0 : a > a > a] : ((! [X6 : a,X5 : a] : ((X1 @ X5 @ X6) = (X1 @ X6 @ X5)) & ! [X7 : a,X9 : a,X8 : a] : ((X1 @ X9 @ (X1 @ X7 @ X8)) = (X1 @ (X1 @ X9 @ X7) @ X8)) & ! [X12 : a,X11 : a,X10 : a] : ((X0 @ (X0 @ X12 @ X10) @ X11) = (X0 @ X12 @ (X0 @ X10 @ X11))) & ! [X3 : a,X2 : a] : ((X0 @ X2 @ X3) = (X0 @ X3 @ X2)) & ! [X4 : a] : ((X0 @ X4 @ X4) = X4) & ! [X16 : a,X15 : a] : ((X0 @ (X1 @ X15 @ X16) @ X16) = X16) & ! [X17 : a] : ((X1 @ X17 @ X17) = X17) & ! [X13 : a,X14 : a] : ((X1 @ (X0 @ X13 @ X14) @ X14) = X14)) => (? [X22 : a,X21 : a,X20 : a,X18 : a,X19 : a] : (((X0 @ X22 @ X18) = X22) & ((X1 @ X18 @ X19) = X20) & ((X0 @ X22 @ X20) = X22) & (X18 != X21) & (X19 != X22) & (X18 != X19) & ((X1 @ X21 @ X20) = X20) & (X20 != X22) & ((X1 @ X18 @ X20) = X20) & ((X1 @ X22 @ X19) = X19) & ((X1 @ X22 @ X20) = X20) & (X18 != X22) & (X19 != X21) & ((X1 @ X19 @ X21) = X20) & ((X0 @ X22 @ X21) = X22) & (X18 != X20) & ((X0 @ X18 @ X20) = X18) & (X21 != X22) & ((X0 @ X21 @ X20) = X21) & ((X1 @ X22 @ X18) = X18) & ((X1 @ X22 @ X21) = X21) & ((X0 @ X18 @ X21) = X22) & ((X1 @ X19 @ X20) = X20) & (X19 != X20) & ((X0 @ X22 @ X19) = X22) & (X20 != X21) & ((X0 @ X19 @ X21) = X22) & ((X1 @ X18 @ X21) = X20) & ((X0 @ X18 @ X19) = X22) & ((X0 @ X19 @ X20) = X19)) => ~! [X24 : a,X23 : a,X25 : a] : ((X0 @ (X1 @ X25 @ X23) @ (X1 @ X25 @ X24)) = (X1 @ X25 @ (X0 @ X23 @ X24)))))),
% 1.76/1.66 inference(rectify,[status(thm)],[f2])).
% 1.76/1.66 thf(f2,negated_conjecture,(
% 1.76/1.66 ~! [X0 : a > a > a,X1 : a > a > a] : ((! [X3 : a,X2 : a] : ((X0 @ X2 @ X3) = (X0 @ X3 @ X2)) & ! [X2 : a] : ((X0 @ X2 @ X2) = X2) & ! [X2 : a,X3 : a] : ((X1 @ X2 @ X3) = (X1 @ X3 @ X2)) & ! [X3 : a,X4 : a,X2 : a] : ((X1 @ (X1 @ X2 @ X3) @ X4) = (X1 @ X2 @ (X1 @ X3 @ X4))) & ! [X3 : a,X4 : a,X2 : a] : ((X0 @ (X0 @ X2 @ X3) @ X4) = (X0 @ X2 @ (X0 @ X3 @ X4))) & ! [X2 : a,X3 : a] : ((X1 @ (X0 @ X2 @ X3) @ X3) = X3) & ! [X2 : a,X3 : a] : ((X0 @ (X1 @ X2 @ X3) @ X3) = X3) & ! [X2 : a] : ((X1 @ X2 @ X2) = X2)) => (? [X5 : a,X6 : a,X3 : a,X7 : a,X2 : a] : (((X0 @ X7 @ X3) = X7) & ((X0 @ X2 @ X7) = X2) & (X3 != X6) & (X2 != X3) & ((X1 @ X5 @ X7) = X3) & ((X1 @ X2 @ X5) = X5) & ((X0 @ X5 @ X3) = X5) & (X3 != X5) & ((X0 @ X5 @ X7) = X2) & (X3 != X7) & (X2 != X6) & ((X0 @ X5 @ X6) = X2) & (X5 != X7) & ((X0 @ X6 @ X3) = X6) & ((X1 @ X7 @ X3) = X3) & ((X1 @ X2 @ X7) = X7) & ((X1 @ X2 @ X6) = X6) & (X2 != X5) & ((X1 @ X2 @ X3) = X3) & (X2 != X7) & ((X1 @ X6 @ X3) = X3) & (X5 != X6) & ((X0 @ X2 @ X3) = X2) & ((X1 @ X5 @ X3) = X3) & ((X0 @ X2 @ X5) = X2) & ((X0 @ X2 @ X6) = X2) & ((X0 @ X6 @ X7) = X2) & ((X1 @ X6 @ X7) = X3) & (X6 != X7) & ((X1 @ X5 @ X6) = X3)) => ~! [X3 : a,X4 : a,X2 : a] : ((X1 @ X2 @ (X0 @ X3 @ X4)) = (X0 @ (X1 @ X2 @ X3) @ (X1 @ X2 @ X4)))))),
% 1.76/1.66 inference(negated_conjecture,[status(cth)],[f1])).
% 1.76/1.66 thf(f1,conjecture,(
% 1.76/1.66 ! [X0 : a > a > a,X1 : a > a > a] : ((! [X3 : a,X2 : a] : ((X0 @ X2 @ X3) = (X0 @ X3 @ X2)) & ! [X2 : a] : ((X0 @ X2 @ X2) = X2) & ! [X2 : a,X3 : a] : ((X1 @ X2 @ X3) = (X1 @ X3 @ X2)) & ! [X3 : a,X4 : a,X2 : a] : ((X1 @ (X1 @ X2 @ X3) @ X4) = (X1 @ X2 @ (X1 @ X3 @ X4))) & ! [X3 : a,X4 : a,X2 : a] : ((X0 @ (X0 @ X2 @ X3) @ X4) = (X0 @ X2 @ (X0 @ X3 @ X4))) & ! [X2 : a,X3 : a] : ((X1 @ (X0 @ X2 @ X3) @ X3) = X3) & ! [X2 : a,X3 : a] : ((X0 @ (X1 @ X2 @ X3) @ X3) = X3) & ! [X2 : a] : ((X1 @ X2 @ X2) = X2)) => (? [X5 : a,X6 : a,X3 : a,X7 : a,X2 : a] : (((X0 @ X7 @ X3) = X7) & ((X0 @ X2 @ X7) = X2) & (X3 != X6) & (X2 != X3) & ((X1 @ X5 @ X7) = X3) & ((X1 @ X2 @ X5) = X5) & ((X0 @ X5 @ X3) = X5) & (X3 != X5) & ((X0 @ X5 @ X7) = X2) & (X3 != X7) & (X2 != X6) & ((X0 @ X5 @ X6) = X2) & (X5 != X7) & ((X0 @ X6 @ X3) = X6) & ((X1 @ X7 @ X3) = X3) & ((X1 @ X2 @ X7) = X7) & ((X1 @ X2 @ X6) = X6) & (X2 != X5) & ((X1 @ X2 @ X3) = X3) & (X2 != X7) & ((X1 @ X6 @ X3) = X3) & (X5 != X6) & ((X0 @ X2 @ X3) = X2) & ((X1 @ X5 @ X3) = X3) & ((X0 @ X2 @ X5) = X2) & ((X0 @ X2 @ X6) = X2) & ((X0 @ X6 @ X7) = X2) & ((X1 @ X6 @ X7) = X3) & (X6 != X7) & ((X1 @ X5 @ X6) = X3)) => ~! [X3 : a,X4 : a,X2 : a] : ((X1 @ X2 @ (X0 @ X3 @ X4)) = (X0 @ (X1 @ X2 @ X3) @ (X1 @ X2 @ X4)))))),
% 1.76/1.66 file('/export/starexec/sandbox/tmp/tmp.rWf12oNUEg/DTF2THF_15496.p',c3_DIAMOND_THM_pme)).
% 1.76/1.66 thf(f72,plain,(
% 1.76/1.66 ((sK0 @ sK5 @ sK3) = (sK0 @ sK5 @ sK6))),
% 1.76/1.66 inference(definition_unfolding,[status(thm)],[f22,f48])).
% 1.76/1.66 thf(f48,plain,(
% 1.76/1.66 (sK4 = (sK0 @ sK5 @ sK6))),
% 1.76/1.66 inference(cnf_transformation,[status(thm)],[f10])).
% 1.76/1.66 thf(f22,plain,(
% 1.76/1.66 ((sK0 @ sK5 @ sK3) = sK4)),
% 1.76/1.66 inference(cnf_transformation,[status(thm)],[f10])).
% 1.76/1.66 thf(f61,plain,(
% 1.76/1.66 (sK5 != (sK0 @ sK5 @ sK6))),
% 1.76/1.66 inference(definition_unfolding,[status(thm)],[f34,f48])).
% 1.76/1.66 thf(f34,plain,(
% 1.76/1.66 (sK4 != sK5)),
% 1.76/1.66 inference(cnf_transformation,[status(thm)],[f10])).
% 1.76/1.66 thf(f1404,plain,(
% 1.76/1.66 (sK5 = (sK0 @ sK3 @ sK5))),
% 1.76/1.66 inference(forward_demodulation,[status(thm)],[f1403,f109])).
% 1.76/1.66 thf(f109,plain,(
% 1.76/1.66 ( ! [X0 : a,X1 : a] : (((sK0 @ X1 @ (sK1 @ X0 @ X1)) = X1)) )),
% 1.76/1.66 inference(superposition,[status(thm)],[f16,f14])).
% 1.76/1.66 thf(f14,plain,(
% 1.76/1.66 ( ! [X18 : a,X19 : a] : (((sK0 @ (sK1 @ X18 @ X19) @ X19) = X19)) )),
% 1.76/1.66 inference(cnf_transformation,[status(thm)],[f10])).
% 1.76/1.66 thf(f1403,plain,(
% 1.76/1.66 ((sK0 @ sK5 @ (sK1 @ sK3 @ sK5)) = (sK0 @ sK3 @ sK5))),
% 1.76/1.66 inference(forward_demodulation,[status(thm)],[f1402,f82])).
% 1.76/1.66 thf(f82,plain,(
% 1.76/1.66 ((sK1 @ sK3 @ sK6) = (sK1 @ sK3 @ sK5))),
% 1.76/1.66 inference(forward_demodulation,[status(thm)],[f79,f18])).
% 1.76/1.66 thf(f18,plain,(
% 1.76/1.66 ( ! [X10 : a,X11 : a] : (((sK1 @ X10 @ X11) = (sK1 @ X11 @ X10))) )),
% 1.76/1.66 inference(cnf_transformation,[status(thm)],[f10])).
% 1.76/1.66 thf(f79,plain,(
% 1.76/1.66 ((sK1 @ sK3 @ sK6) = (sK1 @ sK5 @ sK3))),
% 1.76/1.66 inference(backward_demodulation,[status(thm)],[f71,f18])).
% 1.76/1.66 thf(f71,plain,(
% 1.76/1.66 ((sK1 @ sK5 @ sK3) = (sK1 @ sK6 @ sK3))),
% 1.76/1.66 inference(definition_unfolding,[status(thm)],[f23,f28])).
% 1.76/1.66 thf(f28,plain,(
% 1.76/1.66 ((sK1 @ sK5 @ sK3) = sK2)),
% 1.76/1.66 inference(cnf_transformation,[status(thm)],[f10])).
% 1.76/1.66 thf(f23,plain,(
% 1.76/1.66 (sK2 = (sK1 @ sK6 @ sK3))),
% 1.76/1.66 inference(cnf_transformation,[status(thm)],[f10])).
% 1.76/1.66 thf(f1402,plain,(
% 1.76/1.66 ((sK0 @ sK5 @ (sK1 @ sK3 @ sK6)) = (sK0 @ sK3 @ sK5))),
% 1.76/1.66 inference(forward_demodulation,[status(thm)],[f1395,f86])).
% 1.76/1.66 thf(f1395,plain,(
% 1.76/1.66 ((sK0 @ sK5 @ (sK1 @ sK3 @ sK6)) = (sK0 @ sK5 @ sK6))),
% 1.76/1.66 inference(superposition,[status(thm)],[f471,f17])).
% 1.76/1.66 thf(f17,plain,(
% 1.76/1.66 ( ! [X12 : a] : (((sK1 @ X12 @ X12) = X12)) )),
% 1.76/1.66 inference(cnf_transformation,[status(thm)],[f10])).
% 1.76/1.66 thf(f471,plain,(
% 1.76/1.66 ( ! [X0 : a] : (((sK0 @ sK5 @ (sK1 @ sK3 @ X0)) = (sK0 @ sK5 @ (sK1 @ sK6 @ X0)))) )),
% 1.76/1.66 inference(backward_demodulation,[status(thm)],[f441,f429])).
% 1.76/1.66 thf(f429,plain,(
% 1.76/1.66 ( ! [X2 : a,X0 : a,X1 : a] : (((sK0 @ X0 @ (sK1 @ X1 @ X2)) = (sK1 @ (sK0 @ X1 @ X0) @ (sK0 @ X0 @ X2)))) )),
% 1.76/1.66 inference(superposition,[status(thm)],[f13,f16])).
% 1.76/1.66 thf(f13,plain,(
% 1.76/1.66 ( ! [X21 : a,X22 : a,X20 : a] : (((sK0 @ X22 @ (sK1 @ X21 @ X20)) = (sK1 @ (sK0 @ X22 @ X21) @ (sK0 @ X22 @ X20)))) )),
% 1.76/1.66 inference(cnf_transformation,[status(thm)],[f10])).
% 1.76/1.66 thf(f441,plain,(
% 1.76/1.66 ( ! [X0 : a] : (((sK0 @ sK5 @ (sK1 @ sK6 @ X0)) = (sK1 @ (sK0 @ sK3 @ sK5) @ (sK0 @ sK5 @ X0)))) )),
% 1.76/1.66 inference(superposition,[status(thm)],[f13,f86])).
% 1.76/1.66 % SZS output end Proof for DTF2THF_15496
% 1.76/1.66 % (15738)------------------------------
% 1.76/1.66 % (15738)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.66 % (15738)Termination reason: Refutation
% 1.76/1.66
% 1.76/1.66 % (15738)Memory used [KB]: 6780
% 1.76/1.66 % (15738)Time elapsed: 0.199 s
% 1.76/1.66 % (15738)Instructions burned: 562 (million)
% 1.76/1.66 % (15738)------------------------------
% 1.76/1.66 % (15738)------------------------------
% 1.76/1.66 % (15702)Success in time 0.308 s
%------------------------------------------------------------------------------