%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV001^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:38:50 AM UTC 2026
% Result : Theorem 15.40s 2.44s
% Output : Refutation 15.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 5
% Syntax : Number of formulae : 84 ( 36 unt; 0 typ; 4 def)
% Number of atoms : 219 ( 153 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1218 ( 51 ~; 50 |; 73 &;1032 @)
% ( 7 <=>; 3 =>; 0 <=; 2 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 354 ( 0 sgn 326 !; 28 ?; 354 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
sK0: a > a > a ).
thf(func_def_2,type,
sK1: a > a > a ).
thf(func_def_3,type,
sK2: a ).
thf(func_def_4,type,
sK3: a ).
thf(func_def_5,type,
sK4: a ).
thf(func_def_6,type,
sK5: a ).
thf(func_def_7,type,
sK6: a ).
thf(func_def_8,type,
sK7: a ).
thf(f1,conjecture,
! [X0: a > a > a,X1: a > a > a] :
( ( ! [X2: a,X3: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a] :
( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X2: a,X3: a,X4: a] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
& ! [X2: a,X3: a,X4: a] :
( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
= ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) )
& ! [X2: a] :
( ( X1 @ X2 @ X2 )
= X2 )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 ) )
=> ( ! [X2: a,X3: a,X4: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ X4 ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) )
<=> ! [X2: a,X3: a,X4: a] :
( ( X1 @ X2 @ ( X0 @ X3 @ X4 ) )
= ( X0 @ ( X1 @ X2 @ X3 ) @ ( X1 @ X2 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cDISTRIB_THM_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > a,X1: a > a > a] :
( ( ! [X2: a,X3: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a] :
( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X2: a,X3: a,X4: a] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
& ! [X2: a,X3: a,X4: a] :
( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
= ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) )
& ! [X2: a] :
( ( X1 @ X2 @ X2 )
= X2 )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 ) )
=> ( ! [X2: a,X3: a,X4: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ X4 ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) )
<=> ! [X2: a,X3: a,X4: a] :
( ( X1 @ X2 @ ( X0 @ X3 @ X4 ) )
= ( X0 @ ( X1 @ X2 @ X3 ) @ ( X1 @ X2 @ X4 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a > a > a,X1: a > a > a] :
( ( ! [X2: a,X3: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X4: a,X5: a] :
( ( X0 @ ( X1 @ X4 @ X5 ) @ X5 )
= X5 )
& ! [X6: a,X7: a] :
( ( X1 @ X6 @ X7 )
= ( X1 @ X7 @ X6 ) )
& ! [X8: a,X9: a] :
( ( X0 @ X8 @ X9 )
= ( X0 @ X9 @ X8 ) )
& ! [X10: a,X11: a,X12: a] :
( ( X1 @ ( X1 @ X10 @ X11 ) @ X12 )
= ( X1 @ X10 @ ( X1 @ X11 @ X12 ) ) )
& ! [X13: a,X14: a,X15: a] :
( ( X0 @ ( X0 @ X13 @ X14 ) @ X15 )
= ( X0 @ X13 @ ( X0 @ X14 @ X15 ) ) )
& ! [X16: a] :
( ( X1 @ X16 @ X16 )
= X16 )
& ! [X17: a] :
( ( X0 @ X17 @ X17 )
= X17 ) )
=> ( ! [X18: a,X19: a,X20: a] :
( ( X0 @ X18 @ ( X1 @ X19 @ X20 ) )
= ( X1 @ ( X0 @ X18 @ X19 ) @ ( X0 @ X18 @ X20 ) ) )
<=> ! [X21: a,X22: a,X23: a] :
( ( X1 @ X21 @ ( X0 @ X22 @ X23 ) )
= ( X0 @ ( X1 @ X21 @ X22 ) @ ( X1 @ X21 @ X23 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
? [X0: a > a > a,X1: a > a > a] :
( ( ! [X18: a,X19: a,X20: a] :
( ( X0 @ X18 @ ( X1 @ X19 @ X20 ) )
= ( X1 @ ( X0 @ X18 @ X19 ) @ ( X0 @ X18 @ X20 ) ) )
<~> ! [X21: a,X22: a,X23: a] :
( ( X1 @ X21 @ ( X0 @ X22 @ X23 ) )
= ( X0 @ ( X1 @ X21 @ X22 ) @ ( X1 @ X21 @ X23 ) ) ) )
& ! [X2: a,X3: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X4: a,X5: a] :
( ( X0 @ ( X1 @ X4 @ X5 ) @ X5 )
= X5 )
& ! [X6: a,X7: a] :
( ( X1 @ X6 @ X7 )
= ( X1 @ X7 @ X6 ) )
& ! [X8: a,X9: a] :
( ( X0 @ X8 @ X9 )
= ( X0 @ X9 @ X8 ) )
& ! [X10: a,X11: a,X12: a] :
( ( X1 @ ( X1 @ X10 @ X11 ) @ X12 )
= ( X1 @ X10 @ ( X1 @ X11 @ X12 ) ) )
& ! [X13: a,X14: a,X15: a] :
( ( X0 @ ( X0 @ X13 @ X14 ) @ X15 )
= ( X0 @ X13 @ ( X0 @ X14 @ X15 ) ) )
& ! [X16: a] :
( ( X1 @ X16 @ X16 )
= X16 )
& ! [X17: a] :
( ( X0 @ X17 @ X17 )
= X17 ) ),
inference(ennf_transformation,[],[f3]) ).
thf(f5,plain,
? [X0: a > a > a,X1: a > a > a] :
( ( ! [X18: a,X19: a,X20: a] :
( ( X0 @ X18 @ ( X1 @ X19 @ X20 ) )
= ( X1 @ ( X0 @ X18 @ X19 ) @ ( X0 @ X18 @ X20 ) ) )
<~> ! [X21: a,X22: a,X23: a] :
( ( X1 @ X21 @ ( X0 @ X22 @ X23 ) )
= ( X0 @ ( X1 @ X21 @ X22 ) @ ( X1 @ X21 @ X23 ) ) ) )
& ! [X2: a,X3: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X4: a,X5: a] :
( ( X0 @ ( X1 @ X4 @ X5 ) @ X5 )
= X5 )
& ! [X6: a,X7: a] :
( ( X1 @ X6 @ X7 )
= ( X1 @ X7 @ X6 ) )
& ! [X8: a,X9: a] :
( ( X0 @ X8 @ X9 )
= ( X0 @ X9 @ X8 ) )
& ! [X10: a,X11: a,X12: a] :
( ( X1 @ ( X1 @ X10 @ X11 ) @ X12 )
= ( X1 @ X10 @ ( X1 @ X11 @ X12 ) ) )
& ! [X13: a,X14: a,X15: a] :
( ( X0 @ ( X0 @ X13 @ X14 ) @ X15 )
= ( X0 @ X13 @ ( X0 @ X14 @ X15 ) ) )
& ! [X16: a] :
( ( X1 @ X16 @ X16 )
= X16 )
& ! [X17: a] :
( ( X0 @ X17 @ X17 )
= X17 ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
? [X0: a > a > a,X1: a > a > a] :
( ( ? [X21: a,X22: a,X23: a] :
( ( X1 @ X21 @ ( X0 @ X22 @ X23 ) )
!= ( X0 @ ( X1 @ X21 @ X22 ) @ ( X1 @ X21 @ X23 ) ) )
| ? [X18: a,X19: a,X20: a] :
( ( X0 @ X18 @ ( X1 @ X19 @ X20 ) )
!= ( X1 @ ( X0 @ X18 @ X19 ) @ ( X0 @ X18 @ X20 ) ) ) )
& ( ! [X21: a,X22: a,X23: a] :
( ( X1 @ X21 @ ( X0 @ X22 @ X23 ) )
= ( X0 @ ( X1 @ X21 @ X22 ) @ ( X1 @ X21 @ X23 ) ) )
| ! [X18: a,X19: a,X20: a] :
( ( X0 @ X18 @ ( X1 @ X19 @ X20 ) )
= ( X1 @ ( X0 @ X18 @ X19 ) @ ( X0 @ X18 @ X20 ) ) ) )
& ! [X2: a,X3: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X4: a,X5: a] :
( ( X0 @ ( X1 @ X4 @ X5 ) @ X5 )
= X5 )
& ! [X6: a,X7: a] :
( ( X1 @ X6 @ X7 )
= ( X1 @ X7 @ X6 ) )
& ! [X8: a,X9: a] :
( ( X0 @ X8 @ X9 )
= ( X0 @ X9 @ X8 ) )
& ! [X10: a,X11: a,X12: a] :
( ( X1 @ ( X1 @ X10 @ X11 ) @ X12 )
= ( X1 @ X10 @ ( X1 @ X11 @ X12 ) ) )
& ! [X13: a,X14: a,X15: a] :
( ( X0 @ ( X0 @ X13 @ X14 ) @ X15 )
= ( X0 @ X13 @ ( X0 @ X14 @ X15 ) ) )
& ! [X16: a] :
( ( X1 @ X16 @ X16 )
= X16 )
& ! [X17: a] :
( ( X0 @ X17 @ X17 )
= X17 ) ),
inference(nnf_transformation,[],[f5]) ).
thf(f7,plain,
? [X0: a > a > a,X1: a > a > a] :
( ( ? [X21: a,X22: a,X23: a] :
( ( X1 @ X21 @ ( X0 @ X22 @ X23 ) )
!= ( X0 @ ( X1 @ X21 @ X22 ) @ ( X1 @ X21 @ X23 ) ) )
| ? [X18: a,X19: a,X20: a] :
( ( X0 @ X18 @ ( X1 @ X19 @ X20 ) )
!= ( X1 @ ( X0 @ X18 @ X19 ) @ ( X0 @ X18 @ X20 ) ) ) )
& ( ! [X21: a,X22: a,X23: a] :
( ( X1 @ X21 @ ( X0 @ X22 @ X23 ) )
= ( X0 @ ( X1 @ X21 @ X22 ) @ ( X1 @ X21 @ X23 ) ) )
| ! [X18: a,X19: a,X20: a] :
( ( X0 @ X18 @ ( X1 @ X19 @ X20 ) )
= ( X1 @ ( X0 @ X18 @ X19 ) @ ( X0 @ X18 @ X20 ) ) ) )
& ! [X2: a,X3: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X4: a,X5: a] :
( ( X0 @ ( X1 @ X4 @ X5 ) @ X5 )
= X5 )
& ! [X6: a,X7: a] :
( ( X1 @ X6 @ X7 )
= ( X1 @ X7 @ X6 ) )
& ! [X8: a,X9: a] :
( ( X0 @ X8 @ X9 )
= ( X0 @ X9 @ X8 ) )
& ! [X10: a,X11: a,X12: a] :
( ( X1 @ ( X1 @ X10 @ X11 ) @ X12 )
= ( X1 @ X10 @ ( X1 @ X11 @ X12 ) ) )
& ! [X13: a,X14: a,X15: a] :
( ( X0 @ ( X0 @ X13 @ X14 ) @ X15 )
= ( X0 @ X13 @ ( X0 @ X14 @ X15 ) ) )
& ! [X16: a] :
( ( X1 @ X16 @ X16 )
= X16 )
& ! [X17: a] :
( ( X0 @ X17 @ X17 )
= X17 ) ),
inference(flattening,[],[f6]) ).
thf(f8,plain,
? [X0: a > a > a,X1: a > a > a] :
( ( ? [X2: a,X3: a,X4: a] :
( ( X1 @ X2 @ ( X0 @ X3 @ X4 ) )
!= ( X0 @ ( X1 @ X2 @ X3 ) @ ( X1 @ X2 @ X4 ) ) )
| ? [X5: a,X6: a,X7: a] :
( ( X0 @ X5 @ ( X1 @ X6 @ X7 ) )
!= ( X1 @ ( X0 @ X5 @ X6 ) @ ( X0 @ X5 @ X7 ) ) ) )
& ( ! [X8: a,X9: a,X10: a] :
( ( X1 @ X8 @ ( X0 @ X9 @ X10 ) )
= ( X0 @ ( X1 @ X8 @ X9 ) @ ( X1 @ X8 @ X10 ) ) )
| ! [X11: a,X12: a,X13: a] :
( ( X0 @ X11 @ ( X1 @ X12 @ X13 ) )
= ( X1 @ ( X0 @ X11 @ X12 ) @ ( X0 @ X11 @ X13 ) ) ) )
& ! [X14: a,X15: a] :
( ( X1 @ ( X0 @ X14 @ X15 ) @ X15 )
= X15 )
& ! [X16: a,X17: a] :
( ( X0 @ ( X1 @ X16 @ X17 ) @ X17 )
= X17 )
& ! [X18: a,X19: a] :
( ( X1 @ X18 @ X19 )
= ( X1 @ X19 @ X18 ) )
& ! [X20: a,X21: a] :
( ( X0 @ X20 @ X21 )
= ( X0 @ X21 @ X20 ) )
& ! [X22: a,X23: a,X24: a] :
( ( X1 @ ( X1 @ X22 @ X23 ) @ X24 )
= ( X1 @ X22 @ ( X1 @ X23 @ X24 ) ) )
& ! [X25: a,X26: a,X27: a] :
( ( X0 @ ( X0 @ X25 @ X26 ) @ X27 )
= ( X0 @ X25 @ ( X0 @ X26 @ X27 ) ) )
& ! [X28: a] :
( ( X1 @ X28 @ X28 )
= X28 )
& ! [X29: a] :
( ( X0 @ X29 @ X29 )
= X29 ) ),
inference(rectify,[],[f7]) ).
thf(f9,plain,
( ( ( ( sK1 @ sK2 @ ( sK0 @ sK3 @ sK4 ) )
!= ( sK0 @ ( sK1 @ sK2 @ sK3 ) @ ( sK1 @ sK2 @ sK4 ) ) )
| ( ( sK0 @ sK5 @ ( sK1 @ sK6 @ sK7 ) )
!= ( sK1 @ ( sK0 @ sK5 @ sK6 ) @ ( sK0 @ sK5 @ sK7 ) ) ) )
& ( ! [X8: a,X9: a,X10: a] :
( ( sK1 @ X8 @ ( sK0 @ X9 @ X10 ) )
= ( sK0 @ ( sK1 @ X8 @ X9 ) @ ( sK1 @ X8 @ X10 ) ) )
| ! [X11: a,X12: a,X13: a] :
( ( sK0 @ X11 @ ( sK1 @ X12 @ X13 ) )
= ( sK1 @ ( sK0 @ X11 @ X12 ) @ ( sK0 @ X11 @ X13 ) ) ) )
& ! [X14: a,X15: a] :
( ( sK1 @ ( sK0 @ X14 @ X15 ) @ X15 )
= X15 )
& ! [X16: a,X17: a] :
( ( sK0 @ ( sK1 @ X16 @ X17 ) @ X17 )
= X17 )
& ! [X18: a,X19: a] :
( ( sK1 @ X18 @ X19 )
= ( sK1 @ X19 @ X18 ) )
& ! [X20: a,X21: a] :
( ( sK0 @ X20 @ X21 )
= ( sK0 @ X21 @ X20 ) )
& ! [X22: a,X23: a,X24: a] :
( ( sK1 @ ( sK1 @ X22 @ X23 ) @ X24 )
= ( sK1 @ X22 @ ( sK1 @ X23 @ X24 ) ) )
& ! [X25: a,X26: a,X27: a] :
( ( sK0 @ ( sK0 @ X25 @ X26 ) @ X27 )
= ( sK0 @ X25 @ ( sK0 @ X26 @ X27 ) ) )
& ! [X28: a] :
( ( sK1 @ X28 @ X28 )
= X28 )
& ! [X29: a] :
( ( sK0 @ X29 @ X29 )
= X29 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7)],[f8]) ).
thf(f10,plain,
! [X29: a] :
( ( sK0 @ X29 @ X29 )
= X29 ),
inference(cnf_transformation,[],[f9]) ).
thf(f11,plain,
! [X28: a] :
( ( sK1 @ X28 @ X28 )
= X28 ),
inference(cnf_transformation,[],[f9]) ).
thf(f12,plain,
! [X26: a,X27: a,X25: a] :
( ( sK0 @ ( sK0 @ X25 @ X26 ) @ X27 )
= ( sK0 @ X25 @ ( sK0 @ X26 @ X27 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f13,plain,
! [X24: a,X22: a,X23: a] :
( ( sK1 @ ( sK1 @ X22 @ X23 ) @ X24 )
= ( sK1 @ X22 @ ( sK1 @ X23 @ X24 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f14,plain,
! [X21: a,X20: a] :
( ( sK0 @ X20 @ X21 )
= ( sK0 @ X21 @ X20 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f15,plain,
! [X18: a,X19: a] :
( ( sK1 @ X18 @ X19 )
= ( sK1 @ X19 @ X18 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f16,plain,
! [X16: a,X17: a] :
( ( sK0 @ ( sK1 @ X16 @ X17 ) @ X17 )
= X17 ),
inference(cnf_transformation,[],[f9]) ).
thf(f17,plain,
! [X14: a,X15: a] :
( ( sK1 @ ( sK0 @ X14 @ X15 ) @ X15 )
= X15 ),
inference(cnf_transformation,[],[f9]) ).
thf(f18,plain,
! [X10: a,X11: a,X8: a,X9: a,X12: a,X13: a] :
( ( ( sK1 @ X8 @ ( sK0 @ X9 @ X10 ) )
= ( sK0 @ ( sK1 @ X8 @ X9 ) @ ( sK1 @ X8 @ X10 ) ) )
| ( ( sK0 @ X11 @ ( sK1 @ X12 @ X13 ) )
= ( sK1 @ ( sK0 @ X11 @ X12 ) @ ( sK0 @ X11 @ X13 ) ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f19,plain,
( ( ( sK1 @ sK2 @ ( sK0 @ sK3 @ sK4 ) )
!= ( sK0 @ ( sK1 @ sK2 @ sK3 ) @ ( sK1 @ sK2 @ sK4 ) ) )
| ( ( sK0 @ sK5 @ ( sK1 @ sK6 @ sK7 ) )
!= ( sK1 @ ( sK0 @ sK5 @ sK6 ) @ ( sK0 @ sK5 @ sK7 ) ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f21,definition,
( spl8_1
<=> ( ( sK0 @ sK5 @ ( sK1 @ sK6 @ sK7 ) )
= ( sK1 @ ( sK0 @ sK5 @ sK6 ) @ ( sK0 @ sK5 @ sK7 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
thf(f23,plain,
( ( ( sK0 @ sK5 @ ( sK1 @ sK6 @ sK7 ) )
!= ( sK1 @ ( sK0 @ sK5 @ sK6 ) @ ( sK0 @ sK5 @ sK7 ) ) )
| spl8_1 ),
inference(avatar_component_clause,[],[f21]) ).
thf(f25,definition,
( spl8_2
<=> ( ( sK1 @ sK2 @ ( sK0 @ sK3 @ sK4 ) )
= ( sK0 @ ( sK1 @ sK2 @ sK3 ) @ ( sK1 @ sK2 @ sK4 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
thf(f27,plain,
( ( ( sK1 @ sK2 @ ( sK0 @ sK3 @ sK4 ) )
!= ( sK0 @ ( sK1 @ sK2 @ sK3 ) @ ( sK1 @ sK2 @ sK4 ) ) )
| spl8_2 ),
inference(avatar_component_clause,[],[f25]) ).
thf(f28,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f19,f25,f21]) ).
thf(f29,plain,
! [X16: a,X17: a] :
( ( sK0 @ X17 @ ( sK1 @ X16 @ X17 ) )
= X17 ),
inference(forward_demodulation,[],[f16,f14]) ).
thf(f30,plain,
! [X14: a,X15: a] :
( ( sK1 @ X15 @ ( sK0 @ X14 @ X15 ) )
= X15 ),
inference(forward_demodulation,[],[f17,f15]) ).
thf(f32,plain,
! [X0: a,X1: a] :
( ( sK0 @ X0 @ ( sK1 @ X0 @ X1 ) )
= X0 ),
inference(constrained_superposition,[],[f29,f15]) ).
thf(f35,plain,
! [X0: a,X1: a] :
( ( sK1 @ X0 @ ( sK0 @ X0 @ X1 ) )
= X0 ),
inference(constrained_superposition,[],[f30,f14]) ).
thf(f96,plain,
! [X2: a,X0: a,X1: a] :
( ( sK0 @ ( sK0 @ X0 @ X1 ) @ X2 )
= ( sK0 @ X1 @ ( sK0 @ X0 @ X2 ) ) ),
inference(constrained_superposition,[],[f12,f14]) ).
thf(f98,plain,
! [X2: a,X0: a,X1: a] :
( ( sK0 @ X0 @ X2 )
= ( sK0 @ X0 @ ( sK0 @ ( sK1 @ X1 @ X0 ) @ X2 ) ) ),
inference(constrained_superposition,[],[f12,f29]) ).
thf(f104,plain,
! [X2: a,X0: a,X1: a] :
( ( sK0 @ X0 @ ( sK0 @ X1 @ X2 ) )
= ( sK0 @ X1 @ ( sK0 @ X2 @ X0 ) ) ),
inference(constrained_superposition,[],[f12,f14]) ).
thf(f175,plain,
! [X2: a,X0: a,X1: a] :
( ( sK1 @ ( sK1 @ X0 @ X1 ) @ X2 )
= ( sK1 @ X1 @ ( sK1 @ X0 @ X2 ) ) ),
inference(constrained_superposition,[],[f13,f15]) ).
thf(f177,plain,
! [X2: a,X0: a,X1: a] :
( ( sK1 @ X0 @ X2 )
= ( sK1 @ X0 @ ( sK1 @ ( sK0 @ X1 @ X0 ) @ X2 ) ) ),
inference(constrained_superposition,[],[f13,f30]) ).
thf(f185,plain,
! [X2: a,X0: a,X1: a] :
( ( sK1 @ X0 @ ( sK1 @ X1 @ X2 ) )
= ( sK1 @ X1 @ ( sK1 @ X2 @ X0 ) ) ),
inference(constrained_superposition,[],[f13,f15]) ).
thf(f295,plain,
! [X2: a,X0: a,X1: a] :
( ( sK0 @ X0 @ ( sK0 @ X1 @ X2 ) )
= ( sK0 @ X2 @ ( sK0 @ X1 @ X0 ) ) ),
inference(constrained_superposition,[],[f96,f14]) ).
thf(f413,plain,
! [X0: a,X1: a] :
( ( sK0 @ X1 @ X0 )
= ( sK0 @ X0 @ ( sK0 @ X0 @ X1 ) ) ),
inference(constrained_superposition,[],[f104,f10]) ).
thf(f570,plain,
! [X0: a,X1: a] :
( ( sK0 @ X1 @ X0 )
= ( sK1 @ ( sK0 @ X1 @ X0 ) @ ( sK0 @ X0 @ X1 ) ) ),
inference(constrained_superposition,[],[f30,f413]) ).
thf(f715,plain,
! [X2: a,X0: a,X1: a] :
( ( sK1 @ X0 @ ( sK1 @ X1 @ X2 ) )
= ( sK1 @ X2 @ ( sK1 @ X1 @ X0 ) ) ),
inference(constrained_superposition,[],[f175,f15]) ).
thf(f842,plain,
! [X0: a,X1: a] :
( ( sK1 @ X1 @ X0 )
= ( sK1 @ X0 @ ( sK1 @ X0 @ X1 ) ) ),
inference(constrained_superposition,[],[f185,f11]) ).
thf(f1001,plain,
! [X0: a,X1: a] :
( ( sK1 @ X1 @ X0 )
= ( sK0 @ ( sK1 @ X1 @ X0 ) @ ( sK1 @ X0 @ X1 ) ) ),
inference(constrained_superposition,[],[f29,f842]) ).
thf(f1676,plain,
! [X2: a,X0: a,X1: a] :
( ( sK0 @ X0 @ ( sK0 @ X1 @ X2 ) )
= ( sK0 @ X0 @ ( sK0 @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f295,f104]) ).
thf(f2670,plain,
! [X2: a,X0: a,X1: a] :
( ( sK1 @ X0 @ ( sK1 @ X1 @ X2 ) )
= ( sK1 @ X0 @ ( sK1 @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f715,f185]) ).
thf(f4887,plain,
! [X2: a,X0: a,X1: a] :
( ( sK0 @ X2 @ ( sK1 @ X0 @ X1 ) )
= ( sK0 @ X2 @ ( sK0 @ ( sK1 @ X1 @ X0 ) @ ( sK1 @ X0 @ X1 ) ) ) ),
inference(constrained_superposition,[],[f1676,f1001]) ).
thf(f5076,plain,
! [X2: a,X0: a,X1: a] :
( ( sK0 @ X2 @ ( sK1 @ X0 @ X1 ) )
= ( sK0 @ X2 @ ( sK1 @ X1 @ X0 ) ) ),
inference(forward_demodulation,[],[f4887,f1001]) ).
thf(f5845,plain,
! [X2: a,X0: a,X1: a] :
( ( sK1 @ X2 @ ( sK0 @ X0 @ X1 ) )
= ( sK1 @ X2 @ ( sK1 @ ( sK0 @ X1 @ X0 ) @ ( sK0 @ X0 @ X1 ) ) ) ),
inference(constrained_superposition,[],[f2670,f570]) ).
thf(f6038,plain,
! [X2: a,X0: a,X1: a] :
( ( sK1 @ X2 @ ( sK0 @ X0 @ X1 ) )
= ( sK1 @ X2 @ ( sK0 @ X1 @ X0 ) ) ),
inference(forward_demodulation,[],[f5845,f570]) ).
thf(f6783,definition,
( spl8_3
<=> ! [X13: a,X12: a,X11: a] :
( ( sK0 @ X11 @ ( sK1 @ X12 @ X13 ) )
= ( sK1 @ ( sK0 @ X11 @ X12 ) @ ( sK0 @ X11 @ X13 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
thf(f6784,plain,
( ! [X11: a,X12: a,X13: a] :
( ( sK0 @ X11 @ ( sK1 @ X12 @ X13 ) )
= ( sK1 @ ( sK0 @ X11 @ X12 ) @ ( sK0 @ X11 @ X13 ) ) )
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f6783]) ).
thf(f6786,definition,
( spl8_4
<=> ! [X9: a,X8: a,X10: a] :
( ( sK1 @ X8 @ ( sK0 @ X9 @ X10 ) )
= ( sK0 @ ( sK1 @ X8 @ X9 ) @ ( sK1 @ X8 @ X10 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
thf(f6787,plain,
( ! [X10: a,X8: a,X9: a] :
( ( sK1 @ X8 @ ( sK0 @ X9 @ X10 ) )
= ( sK0 @ ( sK1 @ X8 @ X9 ) @ ( sK1 @ X8 @ X10 ) ) )
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f6786]) ).
thf(f6788,plain,
( spl8_3
| spl8_4 ),
inference(avatar_split_clause,[],[f18,f6786,f6783]) ).
thf(f7139,plain,
( ( ( sK0 @ sK5 @ ( sK1 @ sK6 @ sK7 ) )
!= ( sK0 @ sK5 @ ( sK1 @ sK6 @ sK7 ) ) )
| spl8_1
| ~ spl8_3 ),
inference(constrained_superposition,[],[f23,f6784]) ).
thf(f7151,plain,
( $false
| spl8_1
| ~ spl8_3 ),
inference(trivial_inequality_removal,[],[f7139]) ).
thf(f7152,plain,
( spl8_1
| ~ spl8_3 ),
inference(avatar_contradiction_clause,[],[f7151]) ).
thf(f8831,plain,
( ! [X2: a,X0: a,X1: a] :
( ( sK1 @ X1 @ ( sK0 @ X2 @ X0 ) )
= ( sK0 @ ( sK1 @ X1 @ X2 ) @ ( sK1 @ X0 @ X1 ) ) )
| ~ spl8_4 ),
inference(constrained_superposition,[],[f6787,f15]) ).
thf(f8969,plain,
( ! [X2: a,X0: a,X1: a] :
( ( sK0 @ X1 @ ( sK1 @ X0 @ X2 ) )
= ( sK0 @ X1 @ ( sK1 @ X0 @ ( sK0 @ X1 @ X2 ) ) ) )
| ~ spl8_4 ),
inference(constrained_superposition,[],[f98,f6787]) ).
thf(f11716,plain,
( ! [X2: a,X0: a,X1: a] :
( ( sK1 @ X1 @ ( sK0 @ X0 @ X2 ) )
= ( sK0 @ ( sK1 @ X0 @ X1 ) @ ( sK1 @ X2 @ X1 ) ) )
| ~ spl8_4 ),
inference(constrained_superposition,[],[f8831,f15]) ).
thf(f23461,plain,
( ! [X2: a,X0: a,X1: a] :
( ( sK1 @ ( sK0 @ X0 @ X1 ) @ ( sK0 @ X0 @ X2 ) )
= ( sK0 @ X0 @ ( sK1 @ X2 @ ( sK0 @ X0 @ X1 ) ) ) )
| ~ spl8_4 ),
inference(constrained_superposition,[],[f11716,f35]) ).
thf(f23668,plain,
( ! [X2: a,X0: a,X1: a] :
( ( sK1 @ ( sK0 @ X0 @ X1 ) @ ( sK0 @ X0 @ X2 ) )
= ( sK0 @ X0 @ ( sK1 @ X2 @ X1 ) ) )
| ~ spl8_4 ),
inference(forward_demodulation,[],[f23461,f8969]) ).
thf(f59575,plain,
( ( ( sK0 @ sK5 @ ( sK1 @ sK6 @ sK7 ) )
!= ( sK0 @ sK5 @ ( sK1 @ sK7 @ sK6 ) ) )
| spl8_1
| ~ spl8_4 ),
inference(constrained_superposition,[],[f23,f23668]) ).
thf(f59633,plain,
( $false
| spl8_1
| ~ spl8_4 ),
inference(forward_subsumption_resolution,[],[f59575,f5076]) ).
thf(f59634,plain,
( spl8_1
| ~ spl8_4 ),
inference(avatar_contradiction_clause,[],[f59633]) ).
thf(f60078,plain,
( $false
| spl8_2
| ~ spl8_4 ),
inference(forward_subsumption_resolution,[],[f27,f6787]) ).
thf(f60079,plain,
( spl8_2
| ~ spl8_4 ),
inference(avatar_contradiction_clause,[],[f60078]) ).
thf(f60564,plain,
( ! [X2: a,X0: a,X1: a] :
( ( sK0 @ X1 @ ( sK1 @ X2 @ X0 ) )
= ( sK1 @ ( sK0 @ X1 @ X2 ) @ ( sK0 @ X0 @ X1 ) ) )
| ~ spl8_3 ),
inference(constrained_superposition,[],[f6784,f14]) ).
thf(f60800,plain,
( ! [X2: a,X0: a,X1: a] :
( ( sK1 @ X1 @ ( sK0 @ X0 @ X2 ) )
= ( sK1 @ X1 @ ( sK0 @ X0 @ ( sK1 @ X1 @ X2 ) ) ) )
| ~ spl8_3 ),
inference(constrained_superposition,[],[f177,f6784]) ).
thf(f61163,plain,
( ! [X2: a,X0: a,X1: a] :
( ( sK0 @ X1 @ ( sK1 @ X0 @ X2 ) )
= ( sK1 @ ( sK0 @ X0 @ X1 ) @ ( sK0 @ X2 @ X1 ) ) )
| ~ spl8_3 ),
inference(constrained_superposition,[],[f60564,f14]) ).
thf(f66058,plain,
( ! [X2: a,X0: a,X1: a] :
( ( sK1 @ X0 @ ( sK0 @ X2 @ ( sK1 @ X0 @ X1 ) ) )
= ( sK0 @ ( sK1 @ X0 @ X1 ) @ ( sK1 @ X0 @ X2 ) ) )
| ~ spl8_3 ),
inference(constrained_superposition,[],[f61163,f32]) ).
thf(f66320,plain,
( ! [X2: a,X0: a,X1: a] :
( ( sK1 @ X0 @ ( sK0 @ X2 @ X1 ) )
= ( sK0 @ ( sK1 @ X0 @ X1 ) @ ( sK1 @ X0 @ X2 ) ) )
| ~ spl8_3 ),
inference(forward_demodulation,[],[f66058,f60800]) ).
thf(f81493,plain,
( ( ( sK1 @ sK2 @ ( sK0 @ sK3 @ sK4 ) )
!= ( sK1 @ sK2 @ ( sK0 @ sK4 @ sK3 ) ) )
| spl8_2
| ~ spl8_3 ),
inference(constrained_superposition,[],[f27,f66320]) ).
thf(f81731,plain,
( $false
| spl8_2
| ~ spl8_3 ),
inference(forward_subsumption_resolution,[],[f81493,f6038]) ).
thf(f81732,plain,
( spl8_2
| ~ spl8_3 ),
inference(avatar_contradiction_clause,[],[f81731]) ).
cnf(s12,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(sat_conversion,[],[f28]) ).
cnf(s2187,plain,
( spl8_3
| spl8_4 ),
inference(sat_conversion,[],[f6788]) ).
cnf(s2230,plain,
( spl8_1
| ~ spl8_3 ),
inference(sat_conversion,[],[f7152]) ).
cnf(s15362,plain,
( spl8_1
| ~ spl8_4 ),
inference(sat_conversion,[],[f59634]) ).
cnf(s15640,plain,
( spl8_2
| ~ spl8_4 ),
inference(sat_conversion,[],[f60079]) ).
cnf(s21576,plain,
( spl8_2
| ~ spl8_3 ),
inference(sat_conversion,[],[f81732]) ).
cnf(s21839,plain,
spl8_1,
inference(rat,[],[s2187,s2230,s15362]) ).
cnf(s21840,plain,
~ spl8_2,
inference(rat,[],[s12,s21839]) ).
cnf(s21841,plain,
~ spl8_3,
inference(rat,[],[s21576,s21840]) ).
cnf(s21842,plain,
~ spl8_4,
inference(rat,[],[s15640,s21840]) ).
cnf(s21843,plain,
$false,
inference(rat,[],[s2187,s21842,s21841]) ).
thf(f82140,plain,
$false,
inference(avatar_sat_refutation,[],[s21843]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV001^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 15:02:35 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.04/0.99 % (456541)Will run a generic schedule for satisfiability detection.
% 4.04/0.99 % (456548)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=858328049:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.04/0.99 % (456547)% WARNING: option uhcvi not known.
% 4.04/0.99 % (456546)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=10751114_2999 on theBenchmark for (2999ds/0Mi)
% 4.04/0.99 % (456547)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2357652975:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.04/0.99 % (456549)dis+10_1_sil=32000:sp=arity:random_seed=3490757053:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.04/0.99 % (456550)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2864743376:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.04/0.99 % (456547)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.04/0.99 % (456551)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1119893457:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.04/0.99 % (456552)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3072037463:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.04/0.99 % (456550)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.04/0.99 % Exception at run slice level
% 4.04/0.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.04/0.99 % (456547)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.04/0.99 % (456560)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=370681780:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.04/0.99 % Exception at run slice level
% 4.04/0.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.04/0.99 % (456562)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=402711218:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.04/0.99 % (456549)Instruction limit reached!
% 4.04/0.99 % (456549)------------------------------
% 4.04/0.99 % (456549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/0.99 % (456549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/0.99 % (456549)CaDiCaL version: 2.1.3
% 4.04/0.99 % (456549)Termination reason: Instruction limit
% 4.04/0.99 % (456549)Termination phase: Saturation
% 4.04/0.99 % (456549)Time elapsed: 0.049 s
% 4.04/0.99 % (456549)Peak memory usage: 12 MB
% 4.04/0.99 % (456549)Instructions burned: 105 (million)
% 4.04/0.99 % (456550)Instruction limit reached!
% 4.04/0.99 % (456550)------------------------------
% 4.04/0.99 % (456550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/0.99 % (456550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/0.99 % (456550)CaDiCaL version: 2.1.3
% 4.04/0.99 % (456550)Termination reason: Instruction limit
% 4.04/0.99 % (456550)Termination phase: Saturation
% 4.04/0.99 % (456550)Time elapsed: 0.056 s
% 4.04/0.99 % (456550)Peak memory usage: 12 MB
% 4.04/0.99 % (456550)Instructions burned: 116 (million)
% 4.04/0.99 % (456551)Instruction limit reached!
% 4.04/0.99 % (456551)------------------------------
% 4.04/0.99 % (456551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/0.99 % (456551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/0.99 % (456551)CaDiCaL version: 2.1.3
% 4.04/0.99 % (456551)Termination reason: Instruction limit
% 4.04/0.99 % (456551)Termination phase: Saturation
% 4.04/0.99 % (456551)Time elapsed: 0.064 s
% 4.04/0.99 % (456551)Peak memory usage: 12 MB
% 4.04/0.99 % (456551)Instructions burned: 131 (million)
% 4.04/0.99 % (456564)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1434577852:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.04/0.99 % (456564)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.04/0.99 % (456564)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.04/0.99 % (456565)ott-21_1_sil=16000:fs=off:random_seed=872798420:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.04/0.99 % (456552)Instruction limit reached!
% 4.04/0.99 % (456552)------------------------------
% 15.40/2.44 % (456552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.40/2.44 % (456552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.40/2.44 % (456552)CaDiCaL version: 2.1.3
% 15.40/2.44 % (456552)Termination reason: Instruction limit
% 15.40/2.44 % (456552)Termination phase: Saturation
% 15.40/2.44 % (456552)Time elapsed: 0.080 s
% 15.40/2.44 % (456552)Peak memory usage: 13 MB
% 15.40/2.44 % (456552)Instructions burned: 159 (million)
% 15.40/2.44 % (456566)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2317152178:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 15.40/2.44 % (456569)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=486427827:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 15.40/2.44 % Exception at run slice level
% 15.40/2.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.40/2.44 % (456562)Instruction limit reached!
% 15.40/2.44 % (456562)------------------------------
% 15.40/2.44 % (456562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.40/2.44 % (456562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.40/2.44 % (456562)CaDiCaL version: 2.1.3
% 15.40/2.44 % (456562)Termination reason: Instruction limit
% 15.40/2.44 % (456562)Termination phase: Saturation
% 15.40/2.44 % (456562)Time elapsed: 0.071 s
% 15.40/2.44 % (456562)Peak memory usage: 13 MB
% 15.40/2.44 % (456562)Instructions burned: 132 (million)
% 15.40/2.44 % (456572)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3910512780:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 15.40/2.44 % (456573)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2826903960:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 15.40/2.44 % Exception at run slice level
% 15.40/2.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.40/2.44 % (456576)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=763920576:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 15.40/2.44 % (456576)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.40/2.44 % (456565)Instruction limit reached!
% 15.40/2.44 % (456565)------------------------------
% 15.40/2.44 % (456565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.40/2.44 % (456565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.40/2.44 % (456565)CaDiCaL version: 2.1.3
% 15.40/2.44 % (456565)Termination reason: Instruction limit
% 15.40/2.44 % (456565)Termination phase: Saturation
% 15.40/2.44 % (456565)Time elapsed: 0.077 s
% 15.40/2.44 % (456565)Peak memory usage: 12 MB
% 15.40/2.44 % (456565)Instructions burned: 180 (million)
% 15.40/2.44 % (456578)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3186183087:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 15.40/2.44 % (456578)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.40/2.44 % (456566)Instruction limit reached!
% 15.40/2.44 % (456566)------------------------------
% 15.40/2.44 % (456566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.40/2.44 % (456566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.40/2.44 % (456566)CaDiCaL version: 2.1.3
% 15.40/2.44 % (456566)Termination reason: Instruction limit
% 15.40/2.44 % (456566)Termination phase: Saturation
% 15.40/2.44 % (456566)Time elapsed: 0.212 s
% 15.40/2.44 % (456566)Peak memory usage: 14 MB
% 15.40/2.44 % (456566)Instructions burned: 479 (million)
% 15.40/2.44 % (456580)fmb+10_1_sil=64000:random_seed=3567809271:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 15.40/2.44 % (456580)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 15.40/2.44 % Exception at run slice level
% 15.40/2.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.40/2.44 % (456582)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2418311765:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 15.40/2.44 % Exception at run slice level
% 15.40/2.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.40/2.44 % (456584)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3068866941:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 15.40/2.44 % Exception at run slice level
% 15.40/2.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.40/2.44 % (456564)Instruction limit reached!
% 15.40/2.44 % (456564)------------------------------
% 15.40/2.44 % (456564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.40/2.44 % (456564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.40/2.44 % (456564)CaDiCaL version: 2.1.3
% 15.40/2.44 % (456564)Termination reason: Instruction limit
% 15.40/2.44 % (456564)Termination phase: Saturation
% 15.40/2.44 % (456564)Time elapsed: 0.299 s
% 15.40/2.44 % (456564)Peak memory usage: 15 MB
% 15.40/2.44 % (456564)Instructions burned: 685 (million)
% 15.40/2.44 % (456586)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3956904856:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 15.40/2.44 % (456586)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.40/2.44 % (456587)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1990165079:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 15.40/2.44 % (456587)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 15.40/2.44 % (456587)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 15.40/2.44 % (456576)Instruction limit reached!
% 15.40/2.44 % (456576)------------------------------
% 15.40/2.44 % (456576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.40/2.44 % (456576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.40/2.44 % (456576)CaDiCaL version: 2.1.3
% 15.40/2.44 % (456576)Termination reason: Instruction limit
% 15.40/2.44 % (456576)Termination phase: Saturation
% 15.40/2.44 % (456576)Time elapsed: 0.316 s
% 15.40/2.44 % (456576)Peak memory usage: 15 MB
% 15.40/2.44 % (456576)Instructions burned: 693 (million)
% 15.40/2.44 % (456590)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2195586850:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 15.40/2.44 % Exception at run slice level
% 15.40/2.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.40/2.44 % (456592)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1671706977:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 15.40/2.44 % Exception at run slice level
% 15.40/2.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.40/2.44 % (456594)ott-2_1_sil=16000:newcnf=on:random_seed=3907300863:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 15.40/2.44 % (456594)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.40/2.44 % (456578)Instruction limit reached!
% 15.40/2.44 % (456578)------------------------------
% 15.40/2.44 % (456578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.40/2.44 % (456578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.40/2.44 % (456578)CaDiCaL version: 2.1.3
% 15.40/2.44 % (456578)Termination reason: Instruction limit
% 15.40/2.44 % (456578)Termination phase: Saturation
% 15.40/2.44 % (456578)Time elapsed: 0.385 s
% 15.40/2.44 % (456578)Peak memory usage: 15 MB
% 15.40/2.44 % (456578)Instructions burned: 880 (million)
% 15.40/2.44 % (456596)ott+10_1_sil=32000:tgt=ground:random_seed=129110194:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 15.40/2.44 % (456572)Instruction limit reached!
% 15.40/2.44 % (456572)------------------------------
% 15.40/2.44 % (456572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.40/2.44 % (456572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.40/2.44 % (456572)CaDiCaL version: 2.1.3
% 15.40/2.44 % (456572)Termination reason: Instruction limit
% 15.40/2.44 % (456572)Termination phase: Saturation
% 15.40/2.44 % (456572)Time elapsed: 0.575 s
% 15.40/2.44 % (456572)Peak memory usage: 19 MB
% 15.40/2.44 % (456572)Instructions burned: 1179 (million)
% 15.40/2.44 % (456598)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1737719181:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 15.40/2.44 % Exception at run slice level
% 15.40/2.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.40/2.44 % (456600)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2403368112:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 15.40/2.44 % (456600)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 15.40/2.44 % (456594)Instruction limit reached!
% 15.40/2.44 % (456594)------------------------------
% 15.40/2.44 % (456594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.40/2.44 % (456594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.40/2.44 % (456594)CaDiCaL version: 2.1.3
% 15.40/2.44 % (456594)Termination reason: Instruction limit
% 15.40/2.44 % (456594)Termination phase: Saturation
% 15.40/2.44 % (456594)Time elapsed: 0.396 s
% 15.40/2.44 % (456594)Peak memory usage: 16 MB
% 15.40/2.44 % (456594)Instructions burned: 871 (million)
% 15.40/2.44 % (456602)dis+21_1_sil=32000:sas=cadical:random_seed=925829223:i=3773:amm=off_2990 on theBenchmark for (2990ds/3773Mi)
% 15.40/2.44 % (456587)Instruction limit reached!
% 15.40/2.44 % (456587)------------------------------
% 15.40/2.44 % (456587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.40/2.44 % (456587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.40/2.44 % (456587)CaDiCaL version: 2.1.3
% 15.40/2.44 % (456587)Termination reason: Instruction limit
% 15.40/2.44 % (456587)Termination phase: Saturation
% 15.40/2.44 % (456587)Time elapsed: 0.680 s
% 15.40/2.44 % (456587)Peak memory usage: 18 MB
% 15.40/2.44 % (456587)Instructions burned: 1473 (million)
% 15.40/2.44 % (456604)ott+11_1_sil=16000:gs=on:random_seed=2840690241:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 15.40/2.44 % (456604)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 15.40/2.44 % (456604)Instruction limit reached!
% 15.40/2.44 % (456604)------------------------------
% 15.40/2.44 % (456604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.40/2.44 % (456604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.40/2.44 % (456604)CaDiCaL version: 2.1.3
% 15.40/2.44 % (456604)Termination reason: Instruction limit
% 15.40/2.44 % (456604)Termination phase: Saturation
% 15.40/2.44 % (456604)Time elapsed: 1.0000 s
% 15.40/2.44 % (456604)Peak memory usage: 21 MB
% 15.40/2.44 % (456604)Instructions burned: 2252 (million)
% 15.40/2.44 % (456606)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2864400777:fmbsr=1.6:i=67534_2978 on theBenchmark for (2978ds/67534Mi)
% 15.40/2.44 % Exception at run slice level
% 15.40/2.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.40/2.44 % (456608)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1966997969:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2978 on theBenchmark for (2978ds/4591Mi)
% 15.40/2.44 % (456548) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-456541-456548"...
% 15.40/2.44 % (456548)...printing done.
% 15.40/2.44 % (456548)Refutation found. Thanks to Tanya!
% 15.40/2.44 % SZS status Theorem for theBenchmark
% 15.40/2.44 % SZS output start Proof for theBenchmark
% See solution above
% 15.40/2.44 % (456548)------------------------------
% 15.40/2.44 % (456548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.40/2.44 % (456548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.40/2.44 % (456548)CaDiCaL version: 2.1.3
% 15.40/2.44 % (456548)Termination reason: Refutation
% 15.40/2.44 % (456548)Time elapsed: 2.178 s
% 15.40/2.44 % (456548)Peak memory usage: 40 MB
% 15.40/2.44 % (456548)Instructions burned: 9831 (million)
% 15.40/2.44 % (456541)Success in time 2.214 s
% 15.40/2.44 % Vampire exiting
%------------------------------------------------------------------------------